diff --git "a/data/dm_maths/full_data_2/10412_11255.jsonl" "b/data/dm_maths/full_data_2/10412_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10412_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -2*w - c + 2 - 1 = 0, -3*w = 3*c. Let a be (-4)\/(-10)*(-20)\/(-1). Let l be (-2 + a\/3)\/5. Which is greater: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107125?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o - 2542. Let m be o\/18 + (-8)\/(-36). Let t = m + 205. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(17)*2 + 1 + ((sqrt(17) + 2 + sqrt(2448))**2 - sqrt(17)).\nAnswer: 53*sqrt(17) + 2882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16362)\/297 + 0 + -2 + 276\/253 + -4?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1154 + -0.114911. Round r to 5 decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012104 rounded to 6 dps?\nAnswer: -0.000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 22830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 27c55?\nAnswer: -27c55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l*l**7*l)\/l)\/(l**(-11)\/l*l))**(-31))**(-19))**(1\/5) assuming l is positive.\nAnswer: l**(11191\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 800 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 11:57 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*g - 717*g + 122*g + (-1 + 0 + 3)*(g - 3*g + 3*g))*(-5 + 5 - 6).\nAnswer: 3048*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgawgffgffgfwif. Give prob of picking 2 w and 1 f.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, z: 3, c: 7}. What is prob of picking 2 z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.066 + -1055982197.\nAnswer: -1055982197.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*q**3*w**2 + 2*q**3*w + 2*q**2*w**2 - 241*q*w - 15*q + 60*w**2 wrt w?\nAnswer: 16*q**3 + 4*q**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/30)\/(7\/((-210)\/6)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/48 and (-2)\/4*((-1208)\/168 - -2).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28746389135 minus -2.35?\nAnswer: -28746389132.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 9*r**2 + 4*r - 7. Let p be w(-8). Let k = p - 22. What is the nearest to 0 in 1, k, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -1, 9, 35, 83, 159?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 34. What is the hundreds digit of (-2 + -9 - 3)*(-954)\/o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, 0.6, 4, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2168.817 * -240\nAnswer: 520516.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -24. Let d be 9\/f - (-1234)\/(-4). Is d\/(-4) + (-3)\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5815529.45 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 76 = -s - t, -4*t - 56 = 2*s. Let u = s + 19. Is 28 - 1 - (u - -5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42, -133, -290, -519, -826?\n\"Answer: -o**3 - 27*o**2 - 3*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(90))\/sqrt(9) - sqrt(30)\/(sqrt(12)\/sqrt(4)))\/(-2*(sqrt(2) + sqrt(18)) - (sqrt(32)*1 - sqrt(2) - sqrt(2))).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 6 - 0. Does 4 divide ((-57)\/(-6))\/(3\/n*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 + 1096*x + 750760.\nAnswer: 2*(x + 1370)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 800*n - 801*n. Suppose -2*t = n*t - 21978. What are the prime factors of t?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4*(-5)\/(-45)*-1.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208596, -208565, -208534, -208503, -208472, -208441?\nAnswer: -208410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 7. What is the units digit of (-3)\/l*-93 - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 3)*(27*q**2 - 5*q**3 - 23*q**2 + 6*q**2) to the form z*q + t*q**2 + y*q**3 + g and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (-5*(-2 + sqrt(363) + -2 + 2 + sqrt(363) + sqrt(363) + sqrt(363)*-1 + -3))**2) + 0.\nAnswer: -5500*sqrt(3) + 36926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/(8\/120). Let f = -10 + z. Let j = f - 0. Solve 0 = 3*p + 12 - j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 5*k - 2. Suppose 0 = 2*d + 2*a - 12, -d - 8*a + 10 = -5*a. Let q be d + (-1)\/1 + 3. What is c(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326190 divided by -5?\nAnswer: -65238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 449.5794 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60413 is divided by 29634.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*10*3\/120?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2304) + (sqrt(2304) - (sqrt(2304) - 2*sqrt(2304))) + sqrt(2304) + sqrt(36) + sqrt(36) - -3*sqrt(144))\/(sqrt(48)\/(sqrt(64)*-1)).\nAnswer: -480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/2469?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 20. Let u = -9.2 - -9. Sort -5, r, u in descending order.\nAnswer: r, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23542, -47084, -70626?\nAnswer: -94168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -530 - -530.00277. What is i rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 13*u**2 + 69*u + 2435. Does 4 divide v(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v - 13. Give x(11).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 74875, 1, 16, -5, -4 in descending order.\nAnswer: 74875, 16, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*j**2 + 0*j + 6*j + 759*j**2 + 4*j.\nAnswer: 521*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.9201, -9\/4, 1\/14, 5 in ascending order.\nAnswer: -9\/4, 1\/14, 0.9201, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - m**4 + 0*m**2 - 12 + 7 in the form l*m**2 + s*m**3 + k*m + j*m**4 + w and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85115115 is divided by 79.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/6 + 38287*p**4\/2 - 574251*p**3\/2 + 7235347*p**2\/6 - 937909*p = 0. What is p?\nAnswer: 0, 1, 7, 114846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, v: 7, t: 2, n: 1}. What is prob of sequence nv?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152332251 to the power of 1\/2, to the nearest integer?\nAnswer: 12342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-3))\/(12\/450). Calculate the greatest common divisor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7*(-36)\/(-224))\/(6\/(-4)) + 0.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 377*x**3 + 3*x**2 - 343*x**3.\nAnswer: 34*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38 + 35 + 107 - 99*s**2 - 9*s**2 wrt s.\nAnswer: -216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1451, 1219, 981, 737, 487?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44\/105 + -2\/15. Let i = 15.3 + -15. What is the nearest to n in i, -2, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 5*i**2 + 2*i + 7. Give g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 529*j**5 + 694*j**2 + 1 wrt j.\nAnswer: 31740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -o - 1706, 3*o + 4*g = -2848 - 2251. Is o\/(-15) + (-2)\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 8:46 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 7*d + 1080. Let z = d + 866. Is ((-3)\/(-6))\/(2\/z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 12)*(0 + 2*c**3 + c**3 - 2) in the form z*c**2 + p*c + y + r*c**3 and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + -1*(-4*sqrt(2)*-2 + 2) + 4).\nAnswer: -36 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 554796?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-249)\/(-483) + (-38)\/437. What is the nearest to 0.4 in g, -1, 64?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344 and 45487636?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -10 - (-1 + (5 - 7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 3. Let r = 9 - 9. Suppose q + r = -3. Let h(o) = 65*o - 142*o + 4 + 81*o. What is q*h(m) + 4*d(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(12\/11)\/r*r**(-3\/13)\/r*r**20\/r*r**(-2) assuming r is positive.\nAnswer: r**(2268\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by -1.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**5 - 15*s**4 - 5*s**3 + 15*s**2 = 0?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*b = 3*r + 8, 0 = -2*r - 4*b. Let h(l) = l + 22. Let p(m) = -m - 21. Let g(a) = r*h(a) - 3*p(a). Let z be g(-16). Is z at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42.4 - 46. What is a rounded to one decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1370 = 2*z - 3*t, -99*t = -3*z - 95*t + 2056. Calculate the lowest common multiple of 66 and z.\nAnswer: 22704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 411\/21 + 9\/21. Let q be 6\/8 + 197\/4. Suppose 5*x - 150 = -q. Calculate the highest common divisor of x and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2335 (base 8) to base 3\nAnswer: -1201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*w**3*y**2 - 2206*w**3 + 17*y**4 wrt y?\nAnswer: 18*w**3*y + 68*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 2. Let a(x) = 3*x + 7. Let u(r) = 6*a(r) - 17*m(r). Let i be u(-5). Suppose 5 = i*t - 1. Solve k - 4*p + t*p + 1 = 0, 24 = 3*k + 3*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959134?\nAnswer: 2, 11, 43597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (-82 + 0 - (-108 + 105)).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s + s - 16. Suppose k + m - 1 = 0, s*m = -2*m. Which is the third smallest value? (a) 3 (b) k (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 990 and 396?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 1.4885937583.\nAnswer: -1.4885937583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -106*l + 125*l. Sort 19, l, -3\/5 in increasing order.\nAnswer: -3\/5, l, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 y when three letters picked without replacement from {c: 8, y: 6, g: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*(-6138)\/132*124\/(-9)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -113*u**3 + 2*u**2 - 7*u - 23. Is v(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 10. Let h be d(10). Suppose 5*p + 5 = 3*q, 5*q - 15 = 5*p - h*p. Suppose -q*f + 18 = -2*f. Is f > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44047 is divided by 8802?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3654 = -6*v - 121434. Round v to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 - -10)) + -49 + 63 + -41?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 0. Let m = g + 5.2. Is m greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m\/(m**(-1\/5)*m))\/m)\/(m*m\/(m*m**(-1\/4))))\/(m**(2\/5)\/(m**(-1)*m))*(m**1\/m)**(-10\/3)\/(m**(-2\/7)\/m)**(8\/13) assuming m is positive.\nAnswer: m**(621\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1519018*v**4 - 1200134?\nAnswer: 6076072*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 7:35 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11244293 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*p - 447 = 272*p + 735 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114853.\nAnswer: 43, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3684, -2, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/11 - 16\/11*q - 2\/11*q**3 + 10\/11*q**2.\nAnswer: -2*(q - 2)**2*(q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**2 - 5*m - 8. Let n(z) be the first derivative of z**2\/2 + 3*z + 54. Suppose -4*t - t = -25. Determine t*n(i) + 3*u(i).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(6\/18*(-363)\/22). Which is the third biggest value? (a) j (b) 1 (c) -1 (d) -5 (e) -3\/31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -15*y - 9. Let i(t) = -3*t - 2. Calculate -21*i(u) + 4*l(u).\nAnswer: 3*u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000030703686 rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = -2*b + 5, 5*x = 5*b - 20. Suppose -b*m - 43 = -3*u + 1, 10 = -5*m. What is the highest common factor of u and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18447724 or 0.2?\nAnswer: -18447724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -3 (c) -18294 (d) 0.3 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -1314665*a - 1314670. Calculate x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2426 and 12301033?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:38 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12.3 - -12.4. Let i = 9 - 9.7. Let c = -0.2 - i. Which is bigger: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1288, -5268, -12130, -22066, -35268, -51928, -72238, -96390?\nAnswer: -124576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/79909 and -9\/171512.\nAnswer: 7031992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 8*i**2 + 2. Let u be w(8). Suppose 0*a + 3*a = k + 37, k - u = 0. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37678, -38100, -38448, -38686, -38778, -38688, -38380, -37818?\n\"Answer: 6*w**3 + w**2 - 467*w - 37218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, 48, 310, 822, 1668, 2932, 4698?\nAnswer: 7050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 41697.\nAnswer: -1\/41697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**2 + 1\/24*y**4 + 0 + 0*y + 19\/6*y**3. What is the remainder when r(0) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -966669*t + 14. Let a(s) = s**2 + s - 6. Let x be a(0). Let f be (-39)\/x - (-2)\/(-4). Let v be u(f). Round v to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33779 * 17.1.\nAnswer: 577620.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8075 + -1?\nAnswer: 8074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q - 7*v + 15 = -20*q - 9*v, 2*q + 4*v = 14 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 11. Which is the third smallest value? (a) 0.2 (b) -2\/9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2701 > -337103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103796, 103815, 103834?\nAnswer: 103853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2149017 and -6.2352013.\nAnswer: 2149010.7647987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/10)\/((-1)\/2). Suppose 0*a + h*a - 8 = 0. Is -4 - a*93\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -28, -40, 1.\nAnswer: -40, -28, -11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67\/(5092\/(-399))*(-12)\/((-3)\/1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nineteen quarters of a decade?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 345379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - m + 0*m + (-5 + 4 + 2)*(0 + 0 - m) + 0 - 2*m + 0 + 268*m - 241 + 469 - 235 to k + i*m and give i.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -34. Let u = -37.000068 - d. Round u to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**4\/2 - 1957*h**3\/3 + 4060*h - 337. Find the first derivative of k(j) wrt j.\nAnswer: -6*j**2 - 3914*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i + 1. Suppose -4*u - 5*f = -u - 12, -f = -2*u - 5. Let a(v) = -7*v**2 - 4*v - 4. What is u*a(s) - 4*r(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*s**3 + 28*s**3 - 10*s**3 - 127*s**3.\nAnswer: -203*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + ((sqrt(200) + 0)*-1 - ((sqrt(200) - (sqrt(200) + 1)) + 3)**2) + -1 + -5).\nAnswer: 40*sqrt(2) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, n: 2, e: 8}. What is prob of sequence ee?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 32 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - o + 4*o + (43 - 60 + 28)*(4 - 4 + o) to the form x*o + r and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19)\/a*a*((a**(-1\/16)*a)\/a)\/a*a)\/(a*a\/((a*a**1)\/a)*(a\/(a\/(a\/(a\/(a\/(a**(-16)*a))))))\/a*a) assuming a is positive.\nAnswer: a**(-577\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -735087 - -1141389?\nAnswer: 406302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -91*c**6*z**3 - 62*c**6 + 136565*c**2*z**3 wrt c.\nAnswer: -10920*c**3*z**3 - 7440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210 (base 4) to base 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 10*r + 10. Calculate y(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 11*q**2 + 7*q + 13. Calculate the remainder when 91 is divided by f(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44547 or 44573?\nAnswer: 44547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -5650\nAnswer: -5650.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 - 115 + 1418*j.\nAnswer: 1418*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 23*v + 3. Let a be 6*10\/(-300)*-5. Give t(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-4 - (2 + 0)). Solve -r*u - 15 = -0*m - 5*m, -2*u = 5*m + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -582652 divided by -3\nAnswer: 582652\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v**2. Let t(n) be the second derivative of n**4\/4 + 757*n. Determine -4*k(j) + 14*t(j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m + 3*q - 37, 2*q = m - 36. Let n(j) = m*j - 8*j - 6*j + 8*j. Let p(r) = -2*r**2. Calculate n(p(s)).\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 2, s: 2, d: 1, x: 1, g: 1}. What is prob of picking 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 28 = -5*k + 1, -3*d - k = 17. Let p be d\/(-4)*(-16)\/(-12). Suppose 0 = -5*z + p + 8. Solve -2*i = z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 276, -0.5, 0.4, 2 in decreasing order.\nAnswer: 276, 7, 2, 0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2782 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 12:17 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + 2. Solve -m = 2*u + u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2 + 1)*274\/6 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w + 6. What is n(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(3\/4)*w**(-1\/8)*w**(25\/2)*w**(-1\/10)\/w)**(-50) assuming w is positive.\nAnswer: w**(-2605\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*v**3 - 26*v**3 - 9*v**3.\nAnswer: -93*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 9*q**2 - 10*q - 4. Suppose 0 = 5*m + 5, 5*s + 30 = -m - 21. Let p be z(s). Let u = p + 9. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 0.1378472013388.\nAnswer: 0.5378472013388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * 103.4\nAnswer: -16.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*f + 121*f - 320*f to h*f + o and give h.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -893 + 3273. Suppose -o = -12*j + 1784. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/4 + (-560 - 2)*-1. Suppose -u = -12*j + 239. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, h: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + g = -49, 4*g = -5*h + g + 229. Let n = h - 219\/4. Let t = n - -171\/20. Which is the nearest to 5\/3? (a) -2 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -6*g**2 + 13*g - 2. Let y = -28 - -21. Let v(m) = 17*m**2 - 40*m + 7. Let x(c) = y*s(c) - 2*v(c). Find the second derivative of x(k) wrt k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 - 80*a**2 + a + 45. Let n be p(-40). What is the highest common factor of 2215 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31\/24 - 5\/24. Let r(n) = n**3 + 11*n**2 + 8*n - 17. Let k be r(-10). Which is the biggest value? (a) -1\/2 (b) f (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -490.000000411 + 490. What is j rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 40903?\nAnswer: 40903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7532?\nAnswer: 2, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + (68 + -19 - 100).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 12*q**2 - 12*q + 23. Let p be k(11). Let w be (p + -11)*(-2)\/(-18). Put -0.08, w, 3, -2 in decreasing order.\nAnswer: 3, w, -0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 578 and 13046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7712478?\nAnswer: 2, 3, 428471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 42*z**3 - 16*z**2 + 26*z + 14. Let o(p) = -126*p**3 + 46*p**2 - 76*p - 41. Calculate -8*o(k) - 23*u(k).\nAnswer: 42*k**3 + 10*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 9*a**2 - 9*a + 7. What is the tens digit of g(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*b = 67244 - 65534 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 429 + -204. Let p = 0.416812 + 224.676188. Let b = v - p. What is b rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p = 46 - 244. Calculate the least common multiple of p and 273.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.65 - -0.58. Let v = -3.93 - -0.86. Let j = v - y. What is the second biggest value in -0.3, j, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -43. Let h be 2\/(-1) + 0 + q. What is h rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 4*t - 3*t)*(t**3 + 35*t**2 - 35*t**2)*(-749 + 368 - 821) to z*t**4 + w*t + u*t**2 + a + v*t**3 and give z.\nAnswer: -2404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let g(d) = -10*d + 140 + 54*d - 13*d - 12*d - 17*d. What is b(g(c))?\nAnswer: 8*c**2 + 1120*c + 39200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1803.09 - 0.4?\nAnswer: -1803.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 173223, 694480, 1563249, 2779536, 4343347, 6254688, 8513565, 11119984?\n\"Answer: v**3 + 173750*v**2 - 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -265*k + 154. Let g be h(-14). What is the greatest common factor of g and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 - 11075?\nAnswer: -11069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243181 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238974640 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 573685927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -15749?\nAnswer: -14\/15749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -661 + 670. Solve -12*o + t*o + 12 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4543, 7\/8, -1, -5?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2 = 5, -2*w + 3*x + 303 = 0. Suppose -7*n + w = -344. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 3. Let t be w(-2). Let o = -1040 + 1055. Solve -t*k = 2*k - o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w*w\/(w*w\/(w*w**(-1\/9)*w))*w)*w**(-2\/5)\/w assuming w is positive.\nAnswer: w**(-193\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(20))\/sqrt(10) - (sqrt(2) + 1)*-1)**2 - (sqrt(162) + 2*sqrt(162) - sqrt(162) - (-5 + (sqrt(2) + 2 - sqrt(2)))**2).\nAnswer: -20*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*((sqrt(49) - -1*sqrt(49)) + sqrt(49))*-6)\/(-2*(3*sqrt(28)\/sqrt(4) + sqrt(14)\/(sqrt(6)\/sqrt(3)))).\nAnswer: 27*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4183 - -4187. Solve 0 = 5*n, t*n - 3 = -4*q + 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnbb when four letters picked without replacement from {n: 14, b: 4}?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -2*j + 16, 0 = -7*j + 5*j + 5*n - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -970 (base 11) to base 12\nAnswer: -812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31211\/1767 + 2\/589. Find the common denominator of 45\/7 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.51 + 0.11. Let o be (-1)\/((-1)\/(0 - 19)). Let a = 5.8146 + -0.8146. Sort a, o, n, -5 in decreasing order.\nAnswer: a, n, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a0 - 5?\nAnswer: -3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.3. Let t = 1378\/1735 - -2\/347. What is the third biggest value in m, 2\/21, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) -2\/15 (c) 941250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 368074.\nAnswer: 1472296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.5053 times 6?\nAnswer: -381.0318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5432? (a) -0.5 (b) -240 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174333952 a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118 - -127. Suppose -n*j + 5*j = 24. Let i(t) = -t - 3. Calculate i(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 30. What is the remainder when 74 is divided by u(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 8:44 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i**2 + 4*i - 4. Let b(t) = -17*t**2 - 11*t + 11. Let f(z) = -4*b(z) - 11*y(z). Let s(m) = 9*m. Determine s(f(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19\/5 - 67\/15. Let u = 10.89 + 0.11. Let k = 8 - u. Sort l, 3\/2, k in descending order.\nAnswer: 3\/2, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*l - 25*l**4 - 19*l + 56*l**4 - 3*l**2 wrt l?\nAnswer: 372*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6155946761?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**6 - 2*o**3 - 3*o**2 + 2. Let s(l) = -8*l**6 - 9*l**3 - 12*l**2 + 9. Let y(n) = -9*c(n) + 2*s(n). What is the third derivative of y(u) wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(79464\/(-1134)))\/(((-3)\/2)\/((-2)\/(-1))).\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g + 6. Let y(j) = -8*j - 25. Let d(r) = -26*q(r) - 6*y(r). Let c(v) = -14*v + 20 + 15*v + 21 - 56 + 16. Let u = 0 + -1. Calculate u*d(w) - 6*c(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1455864\/35 or 41596?\nAnswer: 1455864\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z. Let y(c) = 4*c - 453791. What is f(y(i))?\nAnswer: -8*i + 907582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, g: 6}. What is prob of sequence ggk?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.22 + -0.22. Let a = 12\/67 - 242\/603. Sort -0.2, a, 1, i in decreasing order.\nAnswer: i, 1, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997 + -0.7211?\nAnswer: 1996.2789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 5:47 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 45. What is s(17)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -67 (b) 18\/11 (c) 0.5 (d) -2\/431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l**(-1))))\/l*l)**(-1\/18)\/(l**(21\/5)\/(l\/(l*l**(11\/3)))))**(-43) assuming l is positive.\nAnswer: l**(5074\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8359288, -8359286, -8359284, -8359282, -8359280, -8359278?\n\"Answer: 2*m - 8359290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642*v + 149*v = 94*v - 2788. Let j = -2.9 - -2.79. Which is the closest to 1? (a) j (b) 7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 0 + 0*v**5 + 11\/12*v**4 + 0*v - 39*v**2 + 0*v**6 + 0*v**7 - 5\/42*v**8 + 0*v**3. What is the second derivative of f(m) wrt m?\nAnswer: -800*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -1 + 2 + 0 + 0. Let m(a) = a**2 + 6. Let o(q) = 6*k(q) - m(q). Let v(w) = -3*w**2. Determine o(v(x)).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 16\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (187 - 187 - 355*l)*(-3 + 0 + 1) to j*l + c and give j.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -22 - 10*(-253)\/115. Solve 3*s + 3*q - 15 = 0, g = 3*s - 8*q + 7*q - 19 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2333, 2288, 2217, 2120?\nAnswer: 1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -237*g**2*z - 100*g**2 + 11*g*z**3 - 19*g with respect to z.\nAnswer: -237*g**2 + 33*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y. Let c be (-2)\/3*((3 - 95) + -1). Let u(q) = -6*q - c*q**2 + 2*q + 59*q**2. Determine u(v(a)).\nAnswer: -12*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 24 - 28) + (1 - 13)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -554 + 560. Suppose -251*y = -257*y + 72. Solve -t*p = -9*p - y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11909703\/106 - 112357. Let y = 10\/53 - f. Factor r**3 - 1\/2 + 1\/2*r**5 - y*r - r**2 + 3\/2*r**4.\nAnswer: (r - 1)*(r + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10334 + -71474\/7. Let p = -7283\/56 + k. What is the common denominator of p and 36\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 4*y = 11. Let p = 0.7 - 0.2. Which is the smallest value? (a) -0.3 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 7*x + 33. Let i(n) = 2*n**2 + 4*n + 17. What is 5*i(b) - 3*l(b)?\nAnswer: b**2 - b - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = t - 4*t - 24, -t = 5*x + 28 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5 - 14894)*3*(-9)\/((-81)\/(-6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -29. Suppose -4*g - 936 = -2*q, -2*q = -2*g - k*g - 470. Let c be g - ((-2)\/1 - 1). Round c to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 105561327*l.\nAnswer: -3*l*(l - 35187109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4818 is divided by 267?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2 + 4 + sqrt(320)\/sqrt(10))**2.\nAnswer: 60*sqrt(2) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-2 + 3)) + 1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296686588?\nAnswer: 2, 11, 29, 232513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.3431 to two decimal places.\nAnswer: 5.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 34.07 != -1.66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -p + 5*p. Let u(a) = -8265*a**2 + 7*a - 12. Let n be u(p). Round n to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**7\/42 - 7*q**5\/30 - 31*q**3\/2 + 2*q**2 + 27*q. Differentiate p(w) with respect to w.\nAnswer: -20*w**3 - 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 8:00 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Suppose -3*z - o*p - 2414 - 3556 = 0, 0 = 3*z - 4*p + 5970. Let f = 39817\/20 + z. What is the common denominator of -11\/6 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8*m**2. Let u(v) = -46068*v**2 - 2*v. What is u(l(t))?\nAnswer: -2948352*t**4 - 16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135)\/45 - ((-4)\/1)\/(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*b + 2835, 3*b - 4*z + 1701 = -8*z. Let j = 1327 + b. Is 19 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*f*i**2*t**2 - 2*f*i**2*t + 2*f*i*t**2 + 2*i**2*t**2 + i**2 - 9*i*t**2 + 9*i wrt i.\nAnswer: 58*f*t**2 - 4*f*t + 4*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153\/(-170)*20\/(-24).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 17 + 12 + -11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1862 * 483609.\nAnswer: -900479958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 518.6 + -519. Let o = 172 + -176. Which is the smallest value? (a) w (b) o (c) 0.4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.11 - 0.11. Let r = x + -5.08. Let d = -0.32 + r. What is the second smallest value in d, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2884 times -0.2\nAnswer: 576.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3392490 and 1696245?\nAnswer: 3392490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 378.6436 centuries to years.\nAnswer: 37864.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*u + 6. Let r(x) = 4*x**2 - 2*x - 17. Is r(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**3\/3 + 17*c**2\/2 + 3724. Let l(y) = 62*y. Determine l(o(a)).\nAnswer: -62*a**2 + 1054*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2310, 32.\nAnswer: 0, 32, 2310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 182 = 2*r, -3*u + 48 = -2*r - 85. Let t = -42 + u. Find the first derivative of -10*y**t - 11*y**3 + 9*y**3 - 4*y**3 + 12 wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Suppose 5*s + 2 = 27. Suppose -s*c - 4 = 1. Sort c, z, 1 in decreasing order.\nAnswer: 1, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31386 times -169?\nAnswer: 53.04234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvciicricr. Give prob of sequence vx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 4.329153.\nAnswer: 0.8658306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6 + (-5)\/(-2). Let o(z) = 10 - 3*z - b - 7. Let m(p) = -p. What is m(q) - o(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55170*g**2 - 2425*g.\nAnswer: -110340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47.11 - 52.153. Let h = 4.097 + -4.14. Let w = v - h. What is the third biggest value in 0.3, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = 5*g - 8*b - 14, -b = 3*g - 2. Suppose -x + 7929 = 3*h + 3*x, -g*h + 5282 = 4*x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 2:02 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 41*t**2 + 16*t + 6. What is the least common multiple of l(-20) and 2?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*v = -20, -d - 4*v = -6*d - 16. Solve 3*f - 15 = 0, 5*h - 4*f = -d*f - 35 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 247 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -624 + 627. Put -17, x, 0.5, 0.4 in ascending order.\nAnswer: -17, 0.4, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 254, 314, 374, 434, 494?\n\"Answer: 60*u + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -2*b**6\/5 - 5*b**3\/3 - 5*b. What is the second derivative of g(s) wrt s?\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213 + 24*t + 213)*(17 - 3 + 1).\nAnswer: 360*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-6))\/(9\/36*-5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5237 - 5237.0004276. What is w rounded to five dps?\nAnswer: -0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h + 0*h)*(3*h - 4*h + 0*h)*(-2*h**2 - 3*h**2 + 2*h**2).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + sqrt(200) + (-1*sqrt(200) - sqrt(200)))\/sqrt(10))\/(sqrt(400)*-1 - sqrt(400)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16 or 45093\/4?\nAnswer: 45093\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2922 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a + 7. Let g(n) = 7*n + 6. Determine 7*g(m) - 6*o(m).\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 122?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**4 + 5*i**3 - 17*i - 1002. Let y(w) = -w**4 - w**3 - 3. Let g(x) = l(x) + 3*y(x). What is the first derivative of g(o) wrt o?\nAnswer: -4*o**3 + 6*o**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 467*j + 14492 - 5619 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -5\/569, -23\/5?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 1095?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547567 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*m = -47, -4*y = -6*y + 4*m + 6. Let l(h) = h**2 - 11*h. What is l(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -263*h + 268*h - 60, h + 2*w - 12 = 0. Solve -m - 3*m + h = 3*u, 0 = -u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64152 and 36?\nAnswer: 64152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2285951388232+10.1\nAnswer: 2285951388242.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 1. Let m(t) = -5*t - 3. Suppose r + 5*l - 29 = 0, r + l = 2*l + 5. Let o be (r\/15)\/(1\/30*2). Calculate o*z(b) - 4*m(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-8)\/6)\/(256\/(-82560)) and 8?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 126686000 to the nearest one million.\nAnswer: 127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*y + 48*y - 4, 3*d + 3*y = -6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*j = -5*j - 31, 4*s + 3*j - 21 = 0. Let r be -6 + 164\/3 + 2\/s. Let k = r - 48. Is -1\/11 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 4. Let c be m(-4). Let s be 8\/20 - (1 + 14\/10). Let v be 9 + -3 - (s + c). What is the greatest common divisor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/60 - v**5\/5 + 5*v**4\/12 - 16*v**3\/3 - 59*v**2 - 2*v. What are the prime factors of x(8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(320) - (sqrt(7) + (sqrt(84)*5)\/sqrt(12)))**2.\nAnswer: 15463\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 570326683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 3*b**3 + b - 4*b**3)*(b**2 - 4*b**2 + 7*b**2).\nAnswer: -4*b**5 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 4395*r + 327060.\nAnswer: -5*(r - 69)*(r + 948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1634*v = 1629*v - 15, -3*t - 4*v = 33 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-4)*-1 - -16. Suppose -2*w + 7*w = z. Suppose -2*i = w*i - 75. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**2\/3 + 1712362*f\/3 - 733045904761\/3 = 0.\nAnswer: 856181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, y: 1, t: 1, r: 2, b: 3}. What is prob of sequence tdby?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.64044 and 0.4.\nAnswer: -0.256176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 8:34 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j - 1. Let f be m(2). Let y = f - 11. Let o = y + 26. Calculate the least common multiple of 6 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kluukeuueuykm. Give prob of picking 1 y, 1 l, and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-176)*(8\/(-831))\/((-5)\/15). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*w - 5*m, -5*m - 9 = -5*w + 11. Suppose h + w*c + 15 = -0, -2*h + c = -25. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95220918011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 3128649.\nAnswer: 1\/1042883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8350563, -16701117, -25051671?\nAnswer: -33402225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -301 + 323. What is the least common multiple of d and 26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40823 - 27303. Suppose -a = q + 5180. Round a to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 689*h + 19*h + 9.\nAnswer: 708*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101 + -101. Suppose j = -5*k - 0*k + 16, -5*j - k + 32 = g. Solve -2 = -4*n + j for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 394*n - 106*n + 32*n - 7.\nAnswer: 320*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*m - 323126099 - 314473133 + 194045632 = 0. What is m rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636996.\nAnswer: 2, 3, 109, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 18*d + 3. Let i be f(-18). Suppose 0 = 3*v - 2*v - i. Solve 0 = s + 2*s - v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a + 3. Let r(t) = -6*t + 7. Let y be r(2). Let n = 1 + 1. Let i(q) = n - 6*q + 0 + 0. Calculate y*i(k) + 4*l(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 1 + ((-4)\/(-16) + 2)*4?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(416\/8736)*12\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 876856 and 1290?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 406093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 469220*g**2 + 469226*g**2 + 11.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5)\/(y**2*y)*y**(2\/7)*y*y**7 assuming y is positive.\nAnswer: y**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -8*b**2 + 8*b + 134. Let d(m) = 7*m**2 - 7*m - 133. Let k(s) = -6*a(s) - 7*d(s). Is k(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*z + 3*z. Let u be (z\/(-10))\/((-1)\/18000005). Let s be u\/(-2) + (-1 - -2). Round s to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 290, 11 in decreasing order.\nAnswer: 290, 11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.348323 rounded to 2 decimal places?\nAnswer: 1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2122*n - 36383 = 105791 for n.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2138529 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 3217439885506 and -12.\nAnswer: 3217439885494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273 + 278. Suppose -4*t + 703 = m, 2*m = 7*m - 3*t - 3400. Suppose -5*r + m = 3*b, -b = -s*r + 4*b + 675. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**(19\/5)))\/w*w*w**(-2\/65)*w*(w*w*w**(-10\/9)*w)**(-7) assuming w is positive.\nAnswer: w**(-989\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1315 - -3372?\nAnswer: 4687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**2 - 15*k + 55. Let a be i(5). Calculate the greatest common divisor of 220 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*m - 1301 = -10016. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3*d**2 - 4 + (d - 2 + 2)*(0*d + 6*d - 4*d) + 0*d**2 - d**2 + 3*d**2)*(1 - 1 - 2*d).\nAnswer: -14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/217, 0.2, -0.059?\nAnswer: -0.059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 310, 467, 626, 787, 950?\nAnswer: 1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16501, 16877, 17497, 18361, 19469?\n\"Answer: 122*f**2 + 10*f + 16369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 264 + 937. What is the hundreds digit of (h - -11) + 8*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101784 a multiple of 500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 0*y**5 + 6 + 16\/7*y**7 + 0*y + 0*y**2 + 0*y**6 + 3\/4*y**4 + 19*y**3. What is the third derivative of a(i) wrt i?\nAnswer: 1920*i**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 42 - 42. Sort -5, 3, m in increasing order.\nAnswer: -5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 2*a + 106 = 0, -13 = -j - 4*a. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*g + 16, 0 = -3*g + 2*g. Let y be 8\/36 - 2\/72*a. What is the nearest to -1 in -1, -0.5, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5. Let f = -0.000004 + p. Let w = 0 - f. Round w to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/10 + -3)\/(-1). Let s = -7 + 11. Solve s*w - 26 = -5*r, 0 = -g*w + 3 + 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 a, and 1 l when three letters picked without replacement from {l: 2, j: 5, a: 3, g: 9}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1229*d + 1229*d - 22*d**3.\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 0)**2 + -1*sqrt(11) + 2.\nAnswer: -sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/5, -1\/4, 1331.\nAnswer: -2\/5, -1\/4, 1, 1331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 979540?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/23 and 29\/20220.\nAnswer: 465060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2110 (base 5) to base 3\nAnswer: 101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4555*i*j**3*l - 4948*i*l + 5*i + 4*j**3*l - 1 wrt j?\nAnswer: 13665*i*j**2*l + 12*j**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -537, -550, -587, -654, -757, -902, -1095, -1342?\nAnswer: -1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 5*x + 17 - 12*x + 67.\nAnswer: -26*x + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3 + 107946*k**2 + 215884*k = 0.\nAnswer: -53971, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**2\/17 + 938*m\/17 - 936\/17 = 0.\nAnswer: 1, 468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*v + i + 5570, -3*v - 4*i = 4161. Let z = -831 - v. Round z to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(1\/5)*z)**(-7\/5))**(35\/3))**2)**1 assuming z is positive.\nAnswer: z**(-196\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - (-84)\/(-10))*(14 - -1). Let r be f\/4*(-54)\/81. Let n(m) = -14*m + 1 - r + 16*m. Let u(k) = 2*k**2. What is u(n(x))?\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**5\/20 - 7*u**4\/12 - u**3 - u**2 - u. Let l be c(-6). Let v = 0 - l. Put -5, v, -2 in descending order.\nAnswer: v, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 1731*f + 58 + 35 as v + p*f and give p.\nAnswer: 1731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1127*z = -1937*z + 48600 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3521, 5, -0.39, 0?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Let d(h) = -h**3 - h**2 + 5*h - 3. Let c be d(-4). Let i be ((-10)\/c)\/(q\/(-20)). Solve -4*y = -i - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*x + 5*x. Let r = 11 - x. Suppose -5*u + 78 = 4*b, 0*u + 33 = u - r*b. What is the remainder when u is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-154)*(-22)\/(-24). Let m = -164 + 169. What is the second biggest value in 0.06, l, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62 - 35 - 466*p - 27.\nAnswer: -466*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - -1*(-2 + 1). Suppose -2 = 3*k - 4*r, 4*k + 7 = 2*r - r. Sort k, j, -4 in decreasing order.\nAnswer: j, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -5451540\nAnswer: 27257700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15626 - 7*k + 15626.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5653 - -5656. Determine v so that 14\/5*v**x - 34\/5*v - 32\/5*v**2 + 12\/5 = 0.\nAnswer: -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, -13.1, -55, 2\/45, 0.4?\nAnswer: -13.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2, 3*g = -2*h + 4*h - 15. Let d(c) = -32*c + c**2 + 89*c - 5 - 31*c - 30*c. Calculate d(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4 + 1*(-2*sqrt(30)*2)\/((sqrt(48)*2)\/sqrt(8) - sqrt(6)))*2.\nAnswer: -8*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 17.664?\nAnswer: -12.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 17*h**2 - 32*h - 15. Let d be y(-15). Suppose 12*u - d*u = -3. Which is the third biggest value? (a) -1\/7 (b) -2\/15 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 4. Let w = 0 - y. Let m = -8157.9 - -8158. Which is the nearest to m? (a) -0.5 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 56473 = -24*l + 21*l, 4*l = -4. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 586 + 3*4\/(-12) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**5 - 28*r**4 - 36*r**3 + 28*r**2 + 32*r = 0?\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1172810*k**2 - 1645856?\nAnswer: 2345620*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 40, 89, 176, 313?\n\"Answer: 2*c**3 + c**2 + 6*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -2*(0 + sqrt(304)))**2*-1.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10*y - 315 = 15*y, -5*a = -3*y + 323. Let u = -120 + 186. Let z = a + u. Calculate the least common multiple of z and 33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/273 (b) -673.97 (c) -4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -224638, -449294, -673950, -898606, -1123262?\n\"Answer: -224656*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 28 = -5*j, 0*k - 2*k = 4*j + 24. Let r(o) be the first derivative of -o**3\/3 - o + 264. Let v(g) = 6*g**2 + 3*g + 6. Determine k*r(m) - v(m).\nAnswer: -2*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50912*w**3 + 68278*w**3 - 6 + 57391*w**3 + 2.\nAnswer: 176581*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1546*b + 2401*b + 98325 for b.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 - 12*o - 6. Let w be x(-6). Let h = w + -325. Does -1 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86480712 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.09 + -0.09. Suppose -3*h = 5*o - 18 + 4, -10 = 5*h. Sort 1\/6, l, o in decreasing order.\nAnswer: l, o, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = 14*b - 12*b + 5*j, -2*b = -j - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1500 and 484800.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkz when three letters picked without replacement from {z: 1, k: 9, y: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + a - 25 = -4*a, u + 4*a = 9. Suppose 2 = -p + u. Suppose p*o + 3*m = 24, 4*m + 48 = 4*o - 0*m. What is the remainder when 37 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**2. Suppose 0 = 4*x - q - 15, 4*x = 2*x + 2*q + 12. Let u(d) = 25*d - x*d - 4*d + 30*d. Determine u(j(z)).\nAnswer: -192*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2804653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(56))\/(-3*sqrt(567)))**2.\nAnswer: 200\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 - -22. Let m(z) = -z**3 + 3*z**2 - 6*z - 5. Let o(q) = 20*q - 99. Let g be o(5). Let i(c) = c**2 - c - 1. Give g*m(b) + j*i(b).\nAnswer: -b**3 - 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0304 and 0.03?\nAnswer: -0.000912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -3.634?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000615889 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8255186, -16510397, -24765608, -33020819, -41276030?\nAnswer: -49531241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 1\/6*q**3 - q - 1\/2*q**2 + 0. Let o(c) = c - c - 1 - c**2 + c. Give o(n) - z(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 + 278 = -n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l - 11. Let m(o) = -384*o - 2 - 389*o + 1159*o - 387*o. Give 2*c(j) - 11*m(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*t + 9. Let o = 51.89 - 54. Let x = o - -0.11. Which is the nearest to 1? (a) t (b) x (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.7946 kilometers to centimeters.\nAnswer: 7679460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 16) to base 9\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) - (sqrt(5)*1 - sqrt(5)))*-1)**2 - (sqrt(20) + -2))*4 + (2*-3*sqrt(5) - (1 + (sqrt(605))**2)).\nAnswer: -578 - 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 4:01 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*x - 22*x - 1739*x**3 - 23*x + 1135*x**2 + 55*x wrt x?\nAnswer: -10434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3 - 455484*q**2 + 2732985*q - 4099518 = 0 for q.\nAnswer: -151834, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 843105573 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*s + 12. Let r be 2\/(-4)*s*8. Suppose -3*y + 83 = -r. What is the remainder when y is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 53. Let n(j) = 141*j**5 - 94*j**2 - 5. Let q(g) = 70*g**5 - 47*g**2 - 3. Let p(f) = k*n(f) + 5*q(f). Find the third derivative of p(w) wrt w.\nAnswer: -4380*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-48)\/(-20)))\/(2\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 2\/3 (c) 4 (d) 2 (e) -4.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -4. Let x = -64 - -65. What is the closest to x in o, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/5 and 115\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 12*v - 46. Let l be g(-3). Which is smaller: -31 or l?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -21, -5, 27, 81, 163, 279?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/3*(-15)\/(-6). Let x be 2\/55*h\/3. What is the second smallest value in -3, 2\/19, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -75a7 - 6b5b?\nAnswer: -12546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -27, -4, 1 in descending order.\nAnswer: 4, 1, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 154, 293, 396, 445, 422, 309?\n\"Answer: -3*a**3 + 160*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (104\/(-5))\/(((-1380)\/(-966))\/((-25)\/14))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**2 - 6*a + 168. What is v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2\/7 (c) -1539 (d) 47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*j - 146*j - 72 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 6, -2, 60, 4 in increasing order.\nAnswer: -5, -3, -2, 4, 6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(32\/(-10))\/((-26)\/(-65)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5498 - -5489. Let p(o) = 3*o**2 + 29*o + 6. Give p(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -4*s - 3*c, 4*c = 4*s - c - 130. Let m = -5 + s. Suppose 2*p - m = -0*p. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2312748 and 95\/60464.\nAnswer: 9250992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -3 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2053 is divided by 158.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 + 402*c**2\/5 + 19998*c\/5 - 20402\/5.\nAnswer: 2*(c - 1)*(c + 101)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) 0.24 (c) 12 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 427417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-24))\/(1\/(-4))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 2*u + 4, 489*z + 2*u = 243*z + 248*z + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194 + 366. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*q = 74*q - 14311969 - 17877265. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 7) to base 3.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*4.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 25 = -6*q. Suppose -c - 96 = -q*c. What is the greatest common divisor of 120 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-195)\/84) + -2. Let n(m) = m**2 - 6*m - 5. Let z be n(7). Let h = -22.1 + 22. What is the closest to 1\/2 in z, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 3:54 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b*b\/((b*b*b*b\/(b**6\/b))\/b))*b*b**1)\/((b**(3\/8)\/b)\/(b\/(b\/(b**3\/b)))))\/((b**(-1)*b)**9*b**4\/(b\/(b*b**(-1\/4)*b)*b)) assuming b is positive.\nAnswer: b**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 63*i**3 - 835*i**2 - 656*i - 31. Calculate q(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282015815?\nAnswer: 5, 281, 200723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.7 (c) 0.3 (d) 1\/4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 - 46. Suppose i = 14*u - 14. Solve 0 = -3*m + u*d - 3*d - 5, -3*m = -4*d - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w**2 + 98*w - 1. Let z(c) = -c. Determine o(z(d)).\nAnswer: 15*d**2 - 98*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a3a + -240?\nAnswer: -2c7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2 - ((-11)\/(-4) - 1)). Solve p*l - 2*o + 4*o = 2, -5*o = -4*l + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(81)*-1 - sqrt(81)) + sqrt(81))\/sqrt(3) - sqrt(27))\/(sqrt(63)\/(sqrt(14)\/sqrt(2)) + sqrt(9)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 205*f**3 + 161*f**2 wrt f.\nAnswer: 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 9*i - 28 = 116 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3965 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 3:16 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168.957 - -169. Sort 0.4, w, 3.\nAnswer: w, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 17647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21044689.\nAnswer: 181, 116269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 67*n**2\/2 - 4*n - 3. Let v be s(5). Suppose 2*g - 5*u - 161 = 0, -5*g + v = -g - u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**2*p**3 + 5*o**2*p**2 + 2*o**2*p - 503*o*p**3 - 470*o*p**2 + 2*p**3 wrt p?\nAnswer: -12*o**2 - 3018*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 - 8*o**3 + 108.\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -378*o**3*p**2 - 47*o**3*p + 6*o**3 + 5*o**2*p**2 - 38*o**2 + 3*o*p - o - 558*p**2 wrt o.\nAnswer: -2268*p**2 - 282*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1 + 238\/68?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 30*s. Let y(v) = -10*v**2 + 7. Let o(g) = -7*g**2 + 5. Suppose -3*l = k + 8, 3*l + 27 = -5*k - 1. Let f(w) = k*y(w) + 7*o(w). Give f(m(j)).\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -80994.2 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-237)\/316*(-3 - 505\/(-15))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 240 = 3*d - 45, 352 = 5*w + 4*d. Calculate the highest common factor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e4ec67 - -3?\nAnswer: -1e4ec64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -17505990 divided by 6?\nAnswer: -2917665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -32. What is the units digit of (w\/10)\/((-8)\/(-280))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + -3*(-5 + (sqrt(175) + (sqrt(175) + 0)**2)*-6))*-1 + -5.\nAnswer: 270*sqrt(7) + 9499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21221 + 21218. Let y(f) = -7*f**2 - f + 6. Determine y(q).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1665 to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 9*o**2 + 32*o + 13. What are the prime factors of s(7)?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60812 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 410469?\nAnswer: -41046c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*x**4 - 5 + 5 + (-x + x + 3*x**2)*(2*x**2 + 0*x + 0*x).\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*v + 1325*v**3 - 1275*v**3 + 687*v - 337*v.\nAnswer: 50*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 7:00 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1070 + 35*f**2 - 1051 + 2121.\nAnswer: 35*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:55 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.945? (a) -2\/7 (b) 44 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19379*l - 28477 - 9286 = -8028 + 9023 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*o + a, 74 = 4*o - 3*a + 45 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*i - 1189 + 1273. Suppose 2 = n + 2*b - 9, n + 5 = 2*b. Find v, given that -15\/7*v**2 - 6\/7*v + i*v**n + 0 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - 2. Let m = -9 - v. Suppose 0 = -4*c - 12, -3*h + 40 = -m*c - 14. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2989589 or 2989669?\nAnswer: 2989669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 1. Let q(s) = -2*s**2 - 3*s + 16. Determine 5*i(b) + q(b).\nAnswer: -2*b**2 + 2*b + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6. Let u(z) be the second derivative of -z**3\/6 + 30*z - 2. Determine -j(o) - 2*u(o).\nAnswer: 2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2\/5 - 1462*n\/5 - 330144\/5 = 0.\nAnswer: -181, 912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 55274, 110547, 165820?\n\"Answer: 55273*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y - 22*y - 48 - 6*y. Let w be z(-2). Solve -5*g + 21 = 3*h - w*h, -7 = -3*g - 5*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445320804 divided by 71?\nAnswer: 6272124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11651227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -759305 + 763566.449. Let y = c + -4263.359117. Let w = y + 1.91. Round w to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 792 - -62. What is the greatest common divisor of 28 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*((-2 + 1 - 1)*(3*t + t - 2*t) - 3*t + 2*t + 3*t + 32*t - 57*t - 74*t).\nAnswer: -303*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 26. Let a(u) be the second derivative of -u**3\/6 + 19*u**2\/2 + 411*u. What is a(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -129*v - 46379. Calculate n(-349).\nAnswer: -1358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2\/5 + 5772*n + 6940830.\nAnswer: 6*(n + 2405)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + 5*(sqrt(1377) + ((-1 + sqrt(1377))*3 - sqrt(1377)) + sqrt(1377) + (-2*sqrt(1377) + sqrt(1377))*5) + 3)**2 + -4.\nAnswer: 720*sqrt(17) + 34484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + (-20)\/(-6). Suppose 5*v + 3*u = -5, 0*u = m*v + 2*u + 4. Suppose -v = 4*z - 42. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 452, 0.3, 0.62, 191 in decreasing order.\nAnswer: 452, 191, 0.62, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*c - 3 + 4*c - 2*c wrt c?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let f be (1\/(-3))\/(2 + -1). Which is the second biggest value? (a) r (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/20 - (-18)\/(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*t)*(0 - 1 + 6)*((-1 + 6 + 14)*(t + 2*t - t)*(0 + 3 - 5) + 2 + 2*t - 2 + (0 + 3 - 5)*(-2 + 2*t + 2)).\nAnswer: -1170*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 + 1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {r: 1, y: 9, h: 1, o: 3}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198514 or 198517?\nAnswer: 198514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*n - 172 = -170, -5*c - 5 = 4*n. Suppose 2*g = 2*p + 3 - 15, g = -5*p. What is the closest to 0.04 in g, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/156400 and -113\/265880.\nAnswer: 2658800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 y, and 1 x when three letters picked without replacement from {y: 1, l: 1, p: 10, j: 2, x: 1, d: 5}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*c - 35 = -5*b, -5*c = 4*b - 65. Let a(v) = v - 13. Let f be a(b). Let h(d) = -5*d - 2. Give h(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 9\/5*m**2 - 82\/5*m + 16 = 0.\nAnswer: 10\/9, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1468465969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 13 = 5*s - 24, 0 = 2*s + 2*h - 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: bc324 (base 15) to base 5\nAnswer: 123114314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 + 4*y**2 + 47*y**3 - 5*y**2.\nAnswer: 47*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-48))\/((-6)\/(-4)). Which is the closest to t? (a) -0.12 (b) 2\/19 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270439409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3742090 to the power of 1\/2, to the nearest integer?\nAnswer: 1934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3113.\nAnswer: 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 11 - -6) + -1?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 5. Find the second derivative of 3*o - 3*o**2 + 6 - x wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 66\/401 or -1?\nAnswer: 66\/401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345, -696, -1047, -1398?\nAnswer: -1749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(825)*-2 + sqrt(825)))\/(sqrt(96)\/(sqrt(16)\/sqrt(2))) + 0.\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1158*i**3 + 19*i + 10.\nAnswer: 6948*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804 (base 9) in base 13?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71699*c**6 + 96*c**3 - 163*c**2 + 4*c - 7433.\nAnswer: 8603880*c**3 + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.38? (a) 1 (b) 3\/4 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-14)*(-9912)\/1180 + -22.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.11 + -14. Let r = k - 4.11. Let z = 0.06 - -2.94. Sort 0.2, r, z.\nAnswer: r, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-331 + 5*f + 331)*(f - 2*f + 3*f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-249)\/(-332))\/((-2)\/8 + 1). Suppose 3*c - 4*c = 0. Sort d, c, -15, -5 in decreasing order.\nAnswer: d, c, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 4. Let h(k) = 44*k - 24. Let a(o) = 2*o**2 - 22*o - 28. Let r be a(27). Let y = r + -812. Let w(b) = 9*b - 5. Give x*h(c) + y*w(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 34*z + 65. Give w(17).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1160 + -421. Calculate the remainder when z is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6006430? (a) 16 (b) 1\/6 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 785 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 313291 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - i - 9 = 0, 0 = 133*h - 129*h - 4*i - 12. Let c(f) be the first derivative of 0*f**h - 1\/15*f**5 - 1\/6*f**4 - 1\/9*f**3 + 0*f + 2. Factor c(t).\nAnswer: -t**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2)*32\/40*-5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (-4 + 1)*(-6 + 38\/6) + 5429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - 1 - (-16 + (8 - -3)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50326, -50328, -50330, -50332?\nAnswer: -50334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 84 = 0. Let u = r + -12. Calculate the remainder when 16 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 38. What is the remainder when 65 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -40, -59, -78, -97, -116?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*h**3 + 16*h**3 - 32*h**3 + 2*h**4 - 7*h**2 - h**4 + 1 to w + p*h + v*h**3 + t*h**4 + q*h**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 18*n**2 - 14*n - 25. Is t(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2 less than 408?\nAnswer: 418.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 16*k + 19. Determine n(-7).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-26)*(5 - 1 - 5). Sort -0.5, m, 0.5, -2\/5 in increasing order.\nAnswer: -0.5, -2\/5, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 2. Let x(v) = -53*v**3 + 6*v - 9. Let o(r) = -6*c(r) - x(r). What is the derivative of o(i) wrt i?\nAnswer: 159*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 72*k + 71.\nAnswer: (k - 71)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 401\/20 - 20. Calculate the common denominator of 79\/28 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 6. Let j be 207\/63 + (5\/7 - u). Suppose -14*g - 3*g**2 + 15 + 5*g**j + 8*g**2 - 6*g - 35 = 0. Calculate g.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105635.\nAnswer: 5, 37, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 - 5898*q\/7 + 4220.\nAnswer: -2*(q - 5)*(q + 2954)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 540711?\nAnswer: -54070c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/7 - 193*a**3\/7 + 2522*a**2\/7 + 26212*a\/7 + 23496\/7 = 0. Calculate a.\nAnswer: -6, -1, 22, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z**2 - 75*z - 580. Give j(-10).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470802.\nAnswer: 2, 197, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 4*n - 12, 4*x + 5*n + 2 = -9. Let u = 4 + x. Which is bigger: u or 2\/181?\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(0 - 3)\/(-3). Suppose -7*c + 1 - 8 = r. Let v be (-6 + 4 + 2)*c. Solve v = -d - 1 + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - y - 1. Let q(g) = 3*g + 5. Let b be (-193)\/(-13) - 14\/(-91). Suppose 3*u = -5*w + 2*w + b, -3*w - 4*u = -18. Determine w*v(x) + q(x).\nAnswer: -2*x**2 + x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2 + q + 2*q**2 + q**2 - 2*q. Let w(z) = -8*z**2 + 9*z - 6. Let o(t) = -4*t**2 + 5*t - 3. Let s(p) = 5*o(p) - 3*w(p). Calculate 2*s(m) - 3*u(m).\nAnswer: -m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-70))\/(6*((-25)\/(-5))\/105)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3971845825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 3*p - 2*o, 5*p + 4*o - 526 = -276. Solve -7*q + 17*q - p = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, s: 3}. What is prob of sequence usss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -1)*1 + -1. Suppose -t - 206 + 0 = y. Let m = 324 + t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.3 (c) -6 (d) -0.342 (e) -4 (f) -14 (g) -0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 39*o. Let q(c) = 20*c. Suppose 9*v + 865 - 709 = -3*v. Give v*q(l) + 6*h(l).\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*t + 14 = 0, -5*k + t = -0*t. Suppose s - k - 15 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*w + 5\/3*w**2 + 16\/3.\nAnswer: (w + 16)*(5*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125246 divided by -92?\nAnswer: 62623\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1602951 divided by -76331.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 12.5. Which is smaller: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - x - x)*(-2*x + x - x) - 6*x**2 - 9*x + 3 - 2*x**2 + 10*x**2.\nAnswer: -2*x**2 - 9*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 - 3434303*y\/2 + 11794437095809\/4.\nAnswer: (y - 3434303)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let t = 4.524 - 0.524. What is the nearest to -2 in h, 3, t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2144, 4286, 6430, 8576?\nAnswer: 10724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 13530 + 13538 = 0. Solve 0 = 3*a - 4*j + 3, -i*a + 5*j - 4 = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 307*y - 12*y**4 - 18*y**3 - 301*y - 3 - y**4 to w*y**4 + n*y**2 + h*y + o + g*y**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 317*h**2 - 3*h + 7. Is l(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + 14\/4)*-4. Let f(o) = -15*o - 5. What is the remainder when f(q) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4459315 and 2408?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, 1, -4, -128, 57, -0.5 in decreasing order.\nAnswer: 57, 5\/4, 1, -0.5, -4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 13. Let h be r(9). Suppose h*x + 3*l - 8 - 46 = 0, -2*x = -2*l - 34. Solve -4*m - x = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x - 21. Let m be h(9). Let s(o) = -11*o**2 - 1 + 5*o + o**2 + 2*o**3 - m*o. Calculate the smallest common multiple of 7 and s(6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7, 2, -19, -62, -133, -238, -383?\n\"Answer: -y**3 - 2*y**2 + 8*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 10 + -11 - (4 - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 8*y + 0)*(-2*y + 261 - 518 + 264) in the form q*y + g + m*y**2 and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -15. Let o be (2 + -1)*(-6)\/39. Which is the second smallest value? (a) y (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f**2 + 9. Let g(w) be the second derivative of -w**4\/6 + 2*w**2 - 28*w. Determine -7*g(t) + 3*q(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 310385 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 3:17 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 992292*q*y - y - 829110 wrt q?\nAnswer: 992292*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 5 = -2*o + 5*q, o + 3*q = -4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 43\/323?\nAnswer: 43\/323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, q: 4, s: 5, c: 6}. What is prob of sequence qlsl?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 690014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1149 and 21?\nAnswer: 8043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2. Let a(z) = -2*z + 4*z + 3*z - 3*z. Give u(a(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 355, 531, 703, 871, 1035?\n\"Answer: -2*d**2 + 182*d + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9723968, 9723969, 9723970?\n\"Answer: n + 9723967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3409, 10, -11, 0.\nAnswer: -3409, -11, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 7*g**4\/12 + 1057*g**2. Let o(v) = 34*v. Calculate o(k(q)).\nAnswer: 476*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -63 - (-3 - 4 - 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 1149*h + 6 = -1153*h, p + h = -2. Calculate the lowest common multiple of p and 183.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37834 - 3?\nAnswer: 37831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2268))*6)**2.\nAnswer: 81648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 6*j - 2*j - 22, -11 = -2*o - 5*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 88*h**2 + 7*h + 32. Let p be a(-5). Let j = -681 + p. Let q = -881 + j. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 7*l**4 + 220*l**3 + 849*l**2 + 324*l = 0.\nAnswer: -27, -4, -3\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/56 and -87\/34544?\nAnswer: 241808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6057\/7 + -869. Let l = -4 - v. Let y = 4 - 4.3. Sort l, y, 5.\nAnswer: y, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 25*r - 56. Let d = 21709 - 21733. Give a(d).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from tbnaannatzn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2185030*h*i**2 + 6*h*i + 331*h - 3*i + 5 wrt i?\nAnswer: 4370060*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 164106*l - 3609364.\nAnswer: -2*(l + 22)*(l + 82031)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 882\/56 + 2\/8. Suppose -4*h - 4*d + g = -88, -4*d - 64 = -4*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24041136 (base 8) in base 5?\nAnswer: 2321303440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6721887156 to the power of 1\/2, to the nearest integer?\nAnswer: 81987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(1 - 3 + 1 - 4 - 2 + 5 - 3 + 0 + 5 + (1 - 3 + 0)*(4 - 4 + 2))*(40*h**2 + 2*h**3 - 40*h**2)*(3 + 3 - 7).\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19150, 38337, 57534, 76741, 95958, 115185?\n\"Answer: 5*y**2 + 19172*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4243.221nm in micrometers?\nAnswer: 4.243221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -199138.446 rounded to the nearest 10?\nAnswer: -199140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**3\/2 - 26100*q**2 + 8071365*q\/2 + 4061785 = 0.\nAnswer: -1, 158, 10283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*((-4)\/26 + (-51)\/1105). Let c = 0.2 + -0.4. What is the closest to 2\/7 in -1\/6, c, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10548710023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (4 + sqrt(243) - sqrt(243))*-2) + -2 - (5 + sqrt(75) + 1)*3.\nAnswer: -12 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28018 or 28031?\nAnswer: 28031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -b05b39 (base 16) in base 15?\nAnswer: -1034779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/20 + 2*q**4\/3 - 5*q**3\/3 + 4*q**2 - 3*q. What is the lowest common multiple of r(6) and (4 - 19)*(-2)\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1531584655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-22)\/((b\/(b*(b*b**(-10\/9))\/b))\/b))\/((b\/b**(-2\/59))\/(b*(b*b\/(b\/b**(-3\/11)*b)*b)\/b)) assuming b is positive.\nAnswer: b**(-130942\/5841)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 5 (c) 0.1 (d) 274\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162737.\nAnswer: 109, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 621*u - 2032*u + 495*u + 609*u - 4*u**2.\nAnswer: -4*u**2 - 307*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18145 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 15 = 7. Suppose -h*u - 2*s + 206 = -0*s, -u + 2*s = -59. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**2*t**5 - 73*a**2*t**3 + 3*a**2*t**2 + 123*a**2*t - a**2 wrt t.\nAnswer: 420*a**2*t**2 - 438*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 107. Let w = -131 - -16. Let u = g - w. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -1, 5495, -10, 0, -4 in increasing order.\nAnswer: -10, -4, -1, 0, 3, 4, 5495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a508aa (base 13) to base 4.\nAnswer: 201020020010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0562 - 3.7538. Let s = n + 5.62. Let w = s + -0.51. Round w to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*l + 15*l. Let b(u) = u**2 + 2 + u - l*u**3 - 6*u**3 + 17*u**3 - 8*u**3. Give b(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - s + 5 = 0, -3*k + 11 = s + 4*s. What is the remainder when k is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -202010?\nAnswer: 202004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(5 + 231\/(-42)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 807 (c) 50.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -854397002 or -854397001?\nAnswer: -854397002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**2 + 3*t**2 + t**2 + (-3 + 2*t**2 + 3)*(-2 + 1 - 1).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l**2 - 1499 + 3006 - 18*l**2 - 1507.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2353913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*f**3 + 9*f**2 - f - 7*f**3 + 4*f**3 - f as a*f + t*f**2 + w*f**3 + v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -26188*q - 3. Let n be i(-8). Let y(t) = 30125*t**2 - t - 1. Let c be y(-2). Let h = n - c. What is h rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52012 to the nearest one thousand.\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6 - -8.5. Let q = -6 + x. Which is the closest to q? (a) -4 (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from {z: 13, i: 5}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5055513 (base 6) in base 9?\nAnswer: 406560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-2)*(-2 - -3). Let t be 18\/(-4)*8\/(-18). Suppose 0*b = t*b - n - 37, -4*n = -2*b + 22. What is the greatest common divisor of b and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 20 = -4*p, -2*p + 3 + 5 = -2*x. Let b(r) = 6 + 15*r - p. Let q(w) = -w. Calculate q(b(l)).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1655159 and 61\/968.\nAnswer: 13241272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1368789 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230148 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(1*3*((-396)\/(-54))\/11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/4)\/p)**36*(p**(2\/5))**0)\/((p**(-4\/9)\/p*p)\/((p**6*p*p*p)\/p))**(2\/11) assuming p is positive.\nAnswer: p**(-2521\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-140)\/(-189))\/(-10) + 198\/(-2160) and -29\/48.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -m**5\/60 + 7*m**4\/24 - 2*m**3 - 6*m**2. Let h be t(5). What is the remainder when (8\/44 - (-1959)\/(-66))*h is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 110001000011010001001 (base 2) to base 5.\nAnswer: 402413210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -15*w**2 - 23*w + 567. Give j(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -36841 + 36561. Let j = -58 - -84. Suppose j*d = g*d - 188. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 12 + 37)*(2*u + 9 + 4*u - 7*u).\nAnswer: -46*u + 414","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 967081 and 1311.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3002 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 14 in descending order.\nAnswer: 14, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*j + 3*j. Let s be j - (-8 + 2)\/(-3). Suppose -4*y + 1760 = -s*y. Round y to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.929 + 0.311. Let z = y + -4.04. Which is the third biggest value? (a) 10\/3 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -280725 divided by -95.\nAnswer: 2955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -1. Let z(p) = -p + 7. Let y(i) = -5*k(i) - z(i). Let q be y(4). Let l = -337 + 335. Put 1, l, q in descending order.\nAnswer: q, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7757.404 centimeters to nanometers.\nAnswer: 77574040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14616 and 935402076.\nAnswer: 7308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.0356 - -0.0356. Let h = 2 - 3. Which is the closest to h? (a) -1\/2 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -17\/2, 5985, -4, 0.5, -1, 47?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868801186 to the power of 1\/4, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-7 + 7 + 40*d).\nAnswer: 80*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 14c92c4 (base 13) to base 4\nAnswer: 121131220220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 8885*g + 21324. Let x(m) = m + 3. Give q(y) - 7108*x(y).\nAnswer: 1777*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**4 - 2*w**3 - 6*w**2 - 10*w. Let v(c) = -c**2 + c. Let i(t) = -n(t) - 4*v(t). Factor i(b).\nAnswer: -2*b*(b - 3)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 897289920 divided by 40?\nAnswer: 22432248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 129452 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(130)*2 - sqrt(130) - -1*sqrt(130)*5)\/((sqrt(120)*1)\/sqrt(12)*-2).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 873406138 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/317057? (a) 0.3 (b) -2\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o + 18. Let b(r) = -8*r**2 - 6*r - 739. Calculate -b(m) - 7*c(m).\nAnswer: m**2 - m + 613","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h + 6. What is r(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**2 + 12*t**2 - 4*t**2 + 7*t**2 - t**2 + 5*t**2.\nAnswer: -19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6 + -5) - (-1 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*a - 35, -a - 21 - 49 = -5*u. Let y(h) = -5*h - 1. What is the remainder when y(-6) is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1046520 + -0.390962\nAnswer: -1046520.390962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 7 - 5. What is the highest common divisor of t and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346428647 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/2 + 3*v**2\/2 + 9*v\/2 + 5\/2 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 4 (b) -1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -26, -4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 52 - 27 + 49 + 49)*(-14*r**4 - 14*r**4 - 2*r**4) to l*r + n + o*r**2 + h*r**4 + y*r**3 and give h.\nAnswer: -3600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + p + 4. Let k(z) = z**3 - 4*z**2 - 7*z + 4. Let o be k(5). Let s be 3\/9 + 2\/o. Let y be f(s). Which is greater: 5\/2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.99 in -3, 27, 814?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*s**2 - 362*s**2 + 191*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(40)\/(sqrt(2)*2))\/(sqrt(10) + sqrt(120)\/sqrt(300))*-4.\nAnswer: -5*sqrt(2)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-8)*y))\/(y\/y**4))\/((y*y**(-2\/9))\/y*y)**17 assuming y is positive.\nAnswer: y**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/2251339?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -4*k**2 + 11005. Let u(t) = 1183*t**2. Determine u(z(p)).\nAnswer: 75712*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 5*g**2 + 5*g + 7. Let v be x(6). Let t be v\/2*2 - 1. Suppose t*n - 4*j - 5 = -3*n, 5*j = 5*n - 15. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 3*x**2 + 1 + (4475*x - 21308*x + 5540*x - 17849*x - 12238*x)*(0*x - 2*x + 4*x) in the form g*x**2 + i + s*x and give g.\nAnswer: -82757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -880 (b) 1\/7 (c) 1\/11 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/15))**43 assuming m is positive.\nAnswer: m**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 164. Let x = 97 - y. Suppose -x + 161 = 3*i. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2 - 367 + 2*l + 2*l**2 - 2*l - 29*l**4 - 6*l**4 wrt l?\nAnswer: -140*l**3 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-588)*30\/6*-3.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/2, -71759, -0.01, 0.7 in ascending order.\nAnswer: -71759, -1\/2, -0.1, -0.01, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 6 + 1 = -5*n, -5*p = 4*n + 3. Let i(k) = 2*k**2 - 2*k - 2. Let b(x) = 1. Let j(o) = o - 3. Let h(l) = -4*b(l) - j(l). Determine n*h(a) + i(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 3:51 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 256 = 730*p - 741*p, 4*m = -4*p - 104 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9753*z - 39011. What is k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 377*k**3 + k**2 - 8*k + 9. Let x be r(1). Let l = x - 378. Put -95, -4, l in ascending order.\nAnswer: -95, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8095 and 28845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - -46) + (-4 - 3) + -1 + 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 872 + -320. Does 23 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(605) - ((4 + 1 + sqrt(605) + sqrt(605))**2 - sqrt(605))).\nAnswer: -2442 - 198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/180 - 27*l**4\/8 + 2*l**2 + 30. Let h(s) be the second derivative of b(s). Let o(v) = 15*v**2. What is h(o(k))?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 92. Calculate the remainder when x is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6119 + 6296 + 5885 = 20684*v - 20989*v for v.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 9. Let y be j(-5). Suppose -15 = -4*b + i, -i - 2*i = -15. Suppose 0 = 2*l - 1 - 1. Sort b, l, y in descending order.\nAnswer: b, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 4.4. Let u = i + -4. Let r = -5.08 + 0.08. What is the closest to -1\/4 in u, 10, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-60)\/315)\/((-4)\/14). Let x(m) be the third derivative of c*m**4 + 0*m + 17*m**2 + 0*m**3 + 0 - 17\/60*m**5. Find the second derivative of x(j) wrt j.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 125372.13us?\nAnswer: 0.0020895355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12554 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2236 less than 2237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 11406977.6 to the nearest one hundred thousand.\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 20 = -3*n, 1511594*n - 1511556*n = 5*v + 112 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:25 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -328009b?\nAnswer: -328009b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323 (base 4) to base 6.\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 2*n. Let h be z(2). Suppose 2*i = 56 - h. Suppose 3*u - 48 = -5*u. What is the remainder when i is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ba + -4?\nAnswer: -1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -20058 smaller than -20057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44037.035 - 44206. Let d = g + -1.945. Let q = d - -172. Round q to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 - (-2 + 2) - (-102 + (38 - -59))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/28)\/((-6)\/28). Solve -5*h - p - 21 = -4*p, -o*p = -2*h - 14 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a = 8*a - 48 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/320 and 7\/405.\nAnswer: 25920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 1 y when three letters picked without replacement from kkkkkkayylkkkallkykk?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*0.37.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:38 PM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 4:55 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 118, -2\/9 in descending order.\nAnswer: 118, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2993031*u + 2*u**2 - 5986064*u + 2993033*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 9*u - 3465. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4 + 51434384*o**3 - 8718563*o**2 + 2 wrt o?\nAnswer: -24*o + 308606304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let u = x - -1. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.5 - 3. Let x be 6*12\/15 + -5. Which is the closest to 1? (a) w (b) x (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -750 - -2491. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 139253 and 128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 659?\nAnswer: 129164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - l + 10 = 0, -3*l + 0*l = -5*j - 10. Let v be -2*j\/((-3)\/(-3)). Put 0, v, -19 in descending order.\nAnswer: 0, v, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2, -5*o + 3*o = -5*v + 1. Let f be ((-132)\/(-2002))\/(-3 - (-80)\/28). Which is the smallest value? (a) o (b) 1\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 + -9)\/3 - 10\/6. Let z be f + (-84)\/(-45) - 154\/(-165). Factor -2\/5*g + 2\/5*g**4 - 4\/5*g**2 + 2\/5 + z*g**3 - 2\/5*g**5.\nAnswer: -2*(g - 1)**3*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 + 90 - ((9 - -2) + 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*d + 2, -3*d = -d + 5*o + 6. Is (-61 + d)\/(1\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Suppose 5*v = -4*t + 29, -3*t = 5*v - d*v - 28. Calculate the smallest common multiple of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (9 + -9) - 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 + 36*t - 27. Let y be x(11). Calculate the remainder when -293*(-9)\/36 + y\/8 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/558396 and 5\/6.\nAnswer: 558396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/6*-2*11. What is the common denominator of 95\/12 and ((-2)\/q)\/(12\/249)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10))\/(10\/(-25)). Let s be l\/(-3 - 3\/((-9)\/8)). Solve -4*n - s*n - 21 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 423 + -225. Let d = v + -147. What is the greatest common factor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/5 + 798*a**3\/5 - 621356*a**2\/5 + 15221952*a + 154711296\/5 = 0. Calculate a.\nAnswer: -829, -2, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -640, -2050, -4210, -7120, -10780, -15190?\n\"Answer: -375*u**2 - 285*u + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.66 and -0.4?\nAnswer: 1.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzzbbuzu. Give prob of picking 2 u and 1 b.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1090288765 + 584500081. Let p = f - -505788661.9999941. Let i = p + 22. Round i to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 22 = -2*r, 0 = -0*r + r - i - 5. Solve o - 15 = 3*k, k + 15 = -r*k + 4*o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181344329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/3*2\/(-1)*(-147)\/(-10780)*484?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012020212002102 + -22?\nAnswer: -2012020212002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/236?\nAnswer: -1\/236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 99*y. Let c(r) = 3*r**2. Determine c(f(q)).\nAnswer: 3*q**4 + 594*q**3 + 29403*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3494311 and 52212.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2414*h**5 - h**3*o**2 - 8*h**2 - 125*h*o**2 - 4*h*o + 22*h wrt h.\nAnswer: -48280*h**3 - 6*h*o**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**3\/3 - 2*n**2 - 2*n + 326. What is c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1548, 1532, 1508, 1476, 1436, 1388, 1332?\n\"Answer: -4*s**2 - 4*s + 1556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnh when three letters picked without replacement from {h: 3, n: 4}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**3\/6 - r**2\/2 - r. Let j = 12 + -9. Let l(o) = 2*o + 2. Suppose 0 = -40*c + 78 + 122. Calculate c*d(i) + j*l(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117662580 by -10.\nAnswer: 11766258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/11 and (-2)\/(-10) + (-678)\/(-60).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*f - 3 + 0 - 26 + 29.\nAnswer: -73*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -247 + 234. Let s = -3 - 3. Let v(l) = 4*l + 6. Let h(j) = 2*j + 6. Let p(k) = 2*h(k) - 3*v(k). Let x(d) = 17*d + 13. Determine n*p(b) + s*x(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, v: 5, l: 2}. Give prob of picking 1 n and 2 l.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14057037 divided by -1561893\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5380 divide 434639440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*i + i - d - 7, 2*d - 4 = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 + 0*f**3 - f**3)*(-5 + 2 + 146)*(-6*f + f - 2*f).\nAnswer: 1001*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453248.\nAnswer: 2, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - -28 - -13 - 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 757.7808 grams?\nAnswer: 0.7577808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146.9018754s to weeks.\nAnswer: 0.0002428933125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 2*t. Calculate the smallest common multiple of 2 and q(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 10. Suppose 4*t - 56 = -3*t. Let j be (-9)\/(-2)*t\/6. Let k be b(j). Solve 4 = -k*v - 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/192*(29\/(-7))\/(-29)?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -250 + 247.74. Round m to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 503446.6 millilitres?\nAnswer: 503.4466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-88)\/6)\/2*(-3)\/2. Let c = -365 - -370. Solve -c = 3*v - j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -149899.\nAnswer: -599596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, 1 v, and 1 y when four letters picked without replacement from {f: 1, t: 3, y: 1, p: 4, q: 5, v: 4}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(-8)*v)\/v)*v**(-5\/2)*v)**(-50)\/((v*v\/v**(-4\/7)*v)\/(v*v\/v**(1\/7)))**(20\/9) assuming v is positive.\nAnswer: v**(-7955\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 10:31 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292242481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**5)\/c*(c*c**2)\/c)\/(c**(-2\/7))**(7\/3) assuming c is positive.\nAnswer: c**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 110417 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 39 - 43 + 118 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/4)\/h)**(7\/9)\/((h**(-10)*h)\/h*h**(-3\/11)) assuming h is positive.\nAnswer: h**(3683\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, a: 2, s: 10}. What is prob of picking 1 s and 1 a?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 19b?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let u be m(-6). Let l = u - -10. Let o(h) = l*h + 0*h - 6*h. Let x(v) = -3*v**2. Calculate x(o(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 4\/((-100)\/55)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243289 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/55, -7, 0.5, -29, -0.8, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 10. Determine t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -356*k + 181*k + 177*k - 18 in the form t*k + c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -19672.6636 times 0.02\nAnswer: -393.453272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/443326 and -61\/169354.\nAnswer: 129894518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5580928*w + 12150269 wrt w?\nAnswer: 5580928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 23*k**2 - 3*k**2 + 66*k**2 - 10 + 5*k. Let j(z) = -43*z**2 - 3*z + 6. Let w(s) = -3*c(s) - 5*j(s). Let t(b) = -2*b**2. Determine w(t(x)).\nAnswer: -172*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*r + 1. Let t(p) be the third derivative of p**5\/30 - p**4\/8 + 7*p**3\/6 + 14*p**2. Let x be t(5). What is the greatest common divisor of x and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.375 and 2?\nAnswer: 2.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a = -37*a + 32. Let y(m) = 19*m + 75. Let u be y(a). Is u at least as big as -1\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -60. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -945 + 1834. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**7\/2520 + o**4\/24 + 2*o**2. Let t(b) be the second derivative of v(b). Let p(k) = -5*k**2. Calculate t(p(s)).\nAnswer: -25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -252 + 152*p - 5*p - 118*p to s*p + q and give s.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 5447490?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-675))\/((-6)\/20)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 163*h**2\/2 + 100*h + 25. Find the first derivative of c(f) wrt f.\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000461364461 rounded to 7 dps?\nAnswer: 0.0000461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**4\/6 + 4*q. Let i(f) be the first derivative of -2*f**2 + 1. Determine v(i(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -15*i**3 + 3*i - 2*i + 0*i + 2*i**2. List the prime factors of k(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 n when three letters picked without replacement from nqnnnooqqqqon.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/15)*v)**(8\/3) assuming v is positive.\nAnswer: v**(136\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/(-21) - (-32)\/224 - (-2 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (104 + -4 - -6) + 8. Suppose 34*l - h = -4*l. Calculate the lowest common multiple of 21 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-4)*(-57512)\/(-19513).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i - 8. Let x(o) = -9*o + 23. Calculate -4*x(l) - 11*y(l).\nAnswer: 3*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 85113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmwmmmmgmgggmgm. What is prob of sequence mggw?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + 0.03447953?\nAnswer: 0.10447953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -21943*g**2 - 10*g + 8. Let n be 2\/(-1) + -1 + 3. Suppose n = -v - 5*r + 21, -5*v + 2*v + r + 15 = 0. Let p be c(v). Round p to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 16) to base 2\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 1056?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -10. Solve 3*o - 2*o + q = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76.53 - 76. Let n = r + -3.53. Let g = -25\/42 + 2\/21. Which is the closest to 1? (a) n (b) 2\/11 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -939*p = -934*p - 5*l + 40, -7*p - 86 = 3*l for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1941.2 + -1286. What is c rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -210*o**2. Let a(z) = -392 - 394 - 394 + 1180 + 5*z. Determine d(a(g)).\nAnswer: -5250*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7618 (base 12) in base 11?\nAnswer: -9830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6986980 and 429.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10\/3 + 1\/3*k**3 + k + 2*k**2 = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 564 by 282.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s**2. Let i be r(0). Let h = -6 + 5.6. What is the biggest value in -3\/2, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*i*j*z**2 + 27*i*j*z - i*j - i - j*z**2 wrt z?\nAnswer: 62*i*j - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + -3 - -9)\/(1\/(-28)). Put t, 4, 3, -3, 2 in increasing order.\nAnswer: t, -3, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2\/5 - 979267*u\/5 + 4161957\/5.\nAnswer: -(u + 244821)*(4*u - 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 4*i**2 + 41*i - 57. Let l be u(2). Solve -26*y - l = -173 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 50*f**2 + 55*f - 1510. Calculate s(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13545183 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(2) - (-1 + sqrt(8) - sqrt(2)))**2 + (sqrt(98) + 1)**2).\nAnswer: -600 - 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*h - 203304 = -204504 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21 and -0.0525641174.\nAnswer: 20.9474358826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2529290)\/(-49352) + (-10)\/8.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 25 + 8. Let m = f + 13. Solve -2 = -m*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - w + 8. Let z be 17*-2*(-1 + w). Let t = z - -57. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*r**3 + 0*r + 0*r - 148*r**3 + 138*r**3.\nAnswer: 51*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -51165?\nAnswer: 51164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 12, 2*h + 6 = -2*k - 14. Let t(o) = o**3 - o**2 - 5*o - 3. Let u be t(-3). Find the common denominator of (-460)\/u*12\/45 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + (sqrt(1053) - (3*sqrt(1053) - sqrt(1053))*1 - (sqrt(1053) + -3)*-4))**2.\nAnswer: -432*sqrt(13) + 9541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4170 or 0.14?\nAnswer: -4170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmyyyyymmyyyyyyyyym. What is prob of sequence yy?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -106938052 and -0.113461.\nAnswer: -106938052.113461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a millennium in years?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2130 + 2943 = 0. Suppose -s - 2590 = 3*c + 5*t, -7101 = 5*c - 3*t. Let x = 2045 + c. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 4. Let a be (4\/6)\/((-1)\/3). Let o be u(a). Suppose 3 = -5*p + 6*p, -z + 3*p = 6. Solve 3*n - 4 - z = -2*r, -2*n = -o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1770\/(-1062)*33\/5 - -37?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -g**4\/66 - 53*g**3\/33 - 52*g**2\/11 + 36*g + 213. Let m(c) be the first derivative of o(c). Factor m(l).\nAnswer: -2*(l + 1)*(l + 52)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -210a4?\nAnswer: 210a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 7*c**2 - 5*c + 4. Let y be f(-6). Let p be (y\/2)\/((-1)\/(-2)). Let o = 3 + p. Solve 4*g - o + 0 = 5*j, -5*j - 7 = 2*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 345\/4 + -87. Suppose -12 = -2*q - 32. Let b be 16\/q - (-10)\/(-25). Is b at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1305 and 846195.\nAnswer: 73618965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*g**2 + 7502*g - 2298652?\nAnswer: -68*g + 7502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 234\/(-12)*(-10)\/15. Let n = 14 + -14. Suppose n*i = 4*i - 312. What is the greatest common divisor of v and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -313*r**2 + r + 324*r**2 - 312*r**2 to i*r**2 + x + u*r and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r = -1094 + 314. Solve -31*b - r = -27*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 13*j**2 + 2*j + 21. Suppose 2*s + 0*w + 23 = -3*w, -5*s = 4*w + 61. Determine d(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = 2*n, 131*n = 135*n - r - 19. Solve 6*p = -n*m + 9*p + 26, -5*m + 22 = -p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 18 - 1\/3*h**3 - 13\/2*h**2 + 28*h. What is the remainder when 111 is divided by l(-13)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k - 2*h + 82, 0 = 4*k - h - 67. What is the remainder when 235 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcmgcmgccggcggc. What is prob of picking 1 m and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 15*a**3 - 5*a**2 + 5*a + 2. Let j(h) = -14*h**3 + 4*h**2 - 4*h - 2. Let b(d) = -5*j(d) - 4*x(d). Find the first derivative of b(n) wrt n.\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 2*k**2 + k - 1. Let d be b(2). Suppose -z = -6 + d. What is the third derivative of 5*n**5 + n**2 - 3*n**2 - 3*n**z wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**8\/4032 - 9*n**5\/20 + 26*n**2. Let r(h) be the third derivative of b(h). Let o(l) = -5*l**2. Give o(r(u)).\nAnswer: -125*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -121 + 3?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*b - 39*b + 2*b)*(2*b**4 + 2*b - 2*b) - 12*b**5 + 5*b**5 + 2*b**5.\nAnswer: -139*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -63*r + 192, 6*z + 4*r = 10*z + 32 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**4 + f**2*g - 67*f - 52*g wrt f.\nAnswer: -4*f**3 + 2*f*g - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d = -41*d. Solve -4*j - w = 3, d = -j - 2*w - 3*w + 23 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 c, and 2 m when four letters picked without replacement from kvvimdickmcvcki?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4, 2, 0.1, -53?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 11. Let j be (-7 - 3)*(2 + -1). Let r be j\/(-3) + (-4)\/3. Which is greater: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r**3 + 26 - 27*r**3 + 18*r**3 - 57 + 31.\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 7*b - 15 = -l, 0 = -2*b - 3*l + 10. Suppose 3*g + 5*n - 3 = 4*g, 5*n + b = 5*g. Solve -g*f = f - 4*t + 7, 0 = -3*t - 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h, -2*y + h + 5 = -7. Let b = 43 - 24. Suppose p = -4*j + b, 3*j + 4*p = 5 + y. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 6:12 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, r: 1, x: 1, a: 4, f: 1}. What is prob of picking 1 p, 1 a, and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 - 6 = 0. Let y be 49\/21 - h\/(-3). Suppose x = -2*n + 18, -5*n - y*x = -2*n - 27. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 0, 25, 86, 201, 388, 665, 1050?\n\"Answer: 3*u**3 + 4*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*a**3 + 15*a**3 + 3*a**3 - 43*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = -2*u. Sort -7, 0.2, u.\nAnswer: -7, u, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/1 - (-4)\/2. Let d be -2 - -10 - (2 + 2). Let l be (-1 - 2) + 6\/3. Sort d, l, t.\nAnswer: l, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11112, -11179, -11244, -11307, -11368, -11427?\nAnswer: -11484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -1 - (1 + 18*-1). Solve -2*c + 12 = x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*1\/(-1) - ((8 - -8) + -8662) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 10 - 11. Solve 4*w = x*w + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-5) - 31\/5. What is the lowest common multiple of 0 - (2 + -2) - (t - 15) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2103113310100 + 301?\nAnswer: -2103113303133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 - 5*c + 6. Let a be p(-6). Let k = -5 - -1. Put a, 2, k in ascending order.\nAnswer: k, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j = -4. Let z = 8 - j. Let w = z - -3. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -13.8. Let o = 1.2 + k. What is the nearest to o in -0.07, 0.5, 0?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.874 - -20.034. Let z = 18 - h. Round z to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*g + 4*s + 20, 5*s = -4*g - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547325560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxchylhc. Give prob of picking 1 l, 2 h, and 1 y.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12350 - 12305. Calculate the remainder when t is divided by 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - 3737?\nAnswer: -371d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29268*r = 29267*r - 4*w - 14, 0*r + 3 = -3*r + w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let x(f) = -f. Let h(s) = 8*s + 2 + 2 - 4. Let n(l) = h(l) + 12*x(l). What is z(n(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -5*o**2 - 15*o - 3. Let s(u) = -u**2 + u - 1. Let j(a) = -h(a) + 3*s(a). Let j(r) = 0. What is r?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*m**2 + 7*m**2 + 8*m**5 + (m - m - 2*m**2)*(2*m**3 - m**3 - 3*m**3).\nAnswer: 12*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/513 and -23\/513.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143713\/(-4196) - 2*-17.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200 + 225 - 188 + 42*t**3 - 488 + 2*t**3.\nAnswer: 44*t**3 - 651","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.068? (a) 0.44 (b) 0.5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 8702?\nAnswer: 8704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 324441322?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 1380*a**2 - 19628*a + 1563. Determine g(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 12 - l**2 + 2*l**2 - 13*l + l**2 - l**2. Is r(21) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2052) + 4*sqrt(2052)*2)\/(3*sqrt(75) + 2*sqrt(27)).\nAnswer: 18*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7026*j**3 + 22328600*j**2 + 17740005962*j - 70697788 = 0. What is j?\nAnswer: -1589, 14\/3513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b7 - 5?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/60 + 1897*f**4\/24 + 7661*f**3\/6 + 2*f**2 + 59*f - 50. What is the derivative of o(v) wrt v?\nAnswer: -2*v + 1897","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 1 = 17*z - 115, -3*i + 2601 - 2618 = -2*z for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36742022 - 3?\nAnswer: 36742017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b + 36 = 0. Let a(d) = 3*d**2 - 2*d + 2. Let k(o) = 13*o**2 - 9*o + 9. Let u(j) = b*a(j) - 2*k(j). Let c(g) = -10*g**2. Give c(u(v)).\nAnswer: -10*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20\/9 + -23\/9. Let m = 18.09 - 9.2. Let p = m - 1.89. Which is smaller: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8670 and 30400.\nAnswer: 26356800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -120865*s. Let i(j) = -j**2 - 41. Determine y(i(l)).\nAnswer: 120865*l**2 + 4955465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205972460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 15\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62116871*s**3 - 16262183*s**2 - 2*s - 6 wrt s.\nAnswer: 372701226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*z + 1\/3*z**2 + 1\/3*z**3 + 0.\nAnswer: z*(z - 1)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-4 - (-16 + -9))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/7)\/j**(2\/11)*j**(1\/52)*(j**(-4))**(-7\/9) assuming j is positive.\nAnswer: j**(85661\/36036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.7 - 5. Let k = 0.2 + n. Suppose 0 = 5*t - 2*p + 12, 4 + 1 = -t + 3*p. Which is the smallest value? (a) k (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t - 36*t - 25 = 0, c = t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*j = -c - 24, 5*c - 3*j + 22 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209812, -209252, -208310, -206980, -205256?\nAnswer: -203132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11113 (base 5) to base 8\nAnswer: -1417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -226794125, -3 in decreasing order.\nAnswer: 1, -3, -226794125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -110*d**3\/3 + 21*d**2\/2 + 3*d. Is r(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - 0.84. Let d = p - -2.8. What is the nearest to d in -3\/4, 4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1307 divide 179929167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-4) - 11\/(-2). Suppose -5*o + 4*s + 129 = -0*o, -5*s = q*o - 120. Suppose 0 = 3*p + 2*k - 122, -o = -p + k + 9. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k + 15. Suppose k*m - 4*n - 272 = 2*m, 5*m + 4*n - 367 = 0. Let d(b) = 71 - m + 8*b. Let j(u) = u**2. What is j(d(t))?\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1919172523?\nAnswer: 1919172523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (0 - -27) - 5) + (5 + -9 - -12)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138*c**4*w**3 - 12*c**4*w**2 - 7746*w**3 with respect to c.\nAnswer: 552*c**3*w**3 - 48*c**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 - 1. Let q be b(-1). Let y(u) = q*u**2 - u**2 - 3*u**2. Let s(t) = 2*t + t - t. Determine s(y(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 - 89*c - 111)*(-5*c**3 + 4*c**3 + 3*c**3)*(0 + 0 + 2*c).\nAnswer: -356*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.308, -1\/34 in descending order.\nAnswer: 2, -1\/34, -0.308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i + 281. Let k(t) = -3*t + 94. Calculate 7*k(n) - 2*l(n).\nAnswer: 3*n + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31476 - -122270. What is the thousands digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 2*h - 5. Suppose -5*l + t = -15, -25 = -5*l - 3*t + 6*t. Let z be v(l). Solve 0 = o + z - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*l - 142873 + 143723 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 + 1.96. Let j = 110301214.00000062 + -110301216. Let w = c + j. Round w to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 - 127. Let v = -29.00000014 - p. Round v to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x. Let z(d) = 7*d**2 + 4*d + 10. What is -4*j(y) - z(y)?\nAnswer: -3*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -613927784*x**4 - 22822*x - 7379.\nAnswer: -7367133408*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqcqcdccqkg. What is prob of picking 1 q and 1 d?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 106 divided by -1\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*x - 10, 3*w = -x + 2*x + 11. Let v be 6 + -2 + (x - 1). What is the second derivative of r - 8*r + r - 2*r**4 + 8*r**v wrt r?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 3, -4*j = 5*c + 8 - 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109106 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46775399 rounded to 3 decimal places?\nAnswer: 0.468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/633 or -0.2024?\nAnswer: -0.2024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.27*-3\nAnswer: -6.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:19 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 + 2*t + 4*t + 31 + 4*t - 2*t - t + (4 - 6 + 1)*(-2*t + t + 3*t) - 2 - t + 2 + 0*t - t - t + 2*t + 14*t + 15*t to the form d*t + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 3067257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrxxrxxxxxxxxxxrxr. Give prob of picking 1 r and 1 x.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/9, 2\/13, -72?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.7 - 22.84. Let y = w + 0.14. Put 4, 1, y in descending order.\nAnswer: 4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 8*s + 6. Let m(r) = -r**2 + 6*r + 2. Let b be m(5). Let j(y) = -y + 11. What is the remainder when f(b) is divided by j(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/2)\/((4\/(-1))\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 67*f. What is the units digit of s(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -16. Suppose 0*y + 25 = 5*y. Put g, y, 3 in increasing order.\nAnswer: g, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -103\/15. Let t = 4.23 - 4.33. Let p = -2 - -3. What is the closest to t in o, -1\/2, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4220512645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h + 25 = 13*h + 4*v, -4*v = 0. Let g be (-1 - 0) + 12\/3. Let o(a) = -3*a**g + a**3 + 4*a + 3*a**3. Let d(r) = 2*r**3 + 6*r. Determine h*d(l) - 8*o(l).\nAnswer: 2*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jn when two letters picked without replacement from {i: 2, n: 3, j: 3}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 4*k**2 + 3*k + 11. Let y be g(-4). What is the third biggest value in y, -0.03, -0.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 30 - 67 - 20*d as t + p*d and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w + 8. Suppose -w*m = -m. Suppose y + 1 - 6 = m. Which is the second smallest value? (a) 1 (b) -4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d2407 - 150?\nAnswer: 6d2297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1181\/35 - 3613\/105. Let b = -0.1 - -0.1. Sort j, 24\/11, b, 1 in decreasing order.\nAnswer: 24\/11, 1, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 53. Suppose 0 = 4*w - 4*s - 3912020, 5*w = q*w + s + 2934005. Round w to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 2:40 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164368, -164357, -164346, -164335, -164324, -164313?\nAnswer: -164302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 1 + 2*i + 26*i**2 + 12*i - 13*i + 0. Let x = 0 + -1. Is 10 a factor of j(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*r = 2*r, 4*w + 3*r = 20. Solve -w*a = -7*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4)\/(((-3)\/(-1))\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -76. Suppose -37 = -4*c + 19. Suppose c + u = w. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 7 = -4*z - 5*k, -17 = 3*z - 5*k. Let l(j) = 62*j + 20. Let i(x) = 60*x + 21. Let o(p) = z*l(p) + 3*i(p). Differentiate o(d) with respect to d.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02 (b) 440 (c) 2\/9 (d) 5 (e) 1 (f) -117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*k = -39216 - 52507. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Suppose 4*g + 2*f - 9 = 3, -3*g + 23 = -o*f. Suppose s - g = -t, 18 = 5*t - 3*s + s. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8293.973 rounded to the nearest 10?\nAnswer: -8290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2448) + 3 - ((2 + sqrt(2448) + -2 - sqrt(2448)) + sqrt(2448) + sqrt(2448)))**2 + -3.\nAnswer: -24*sqrt(17) + 2446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 17*z - 18. Give x(-14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*p + 78, -7 = r - 6. Find the common denominator of 3\/(-6)*73\/6 and p\/45 - 292\/30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.13 + -2.53. Let r be -8 + (3*-14)\/(-7). Sort 47, m, r in ascending order.\nAnswer: r, m, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x**3 + 13*x**2 + 11*x + 2. Let m(g) = 7*g**3 - 7*g**2 - 6*g - 1. Let h = 661 + -655. Give h*b(r) + 11*m(r).\nAnswer: -r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3273 divided by 3.\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -12*q + 21. What is the third derivative of 13*z**2 - 7*z**5 - q*z**5 - 3*z**2 wrt z?\nAnswer: -600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -185392706*l**3 + 487679522*l wrt l.\nAnswer: -1112356236*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let p(n) = -5*n. Let v(x) = -18*f(x) - 2*p(x). Let y(z) = -5*z. Determine y(v(w)).\nAnswer: 130*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -119723\/16 and -7482 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((4\/6)\/(1\/((-54)\/(-12)))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(-2 + 5 + -4). Let v(p) be the first derivative of p**2\/2 + 9*p + 2. Let y be v(-9). Put y, s, -4 in ascending order.\nAnswer: -4, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2384962 and 13622.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 690\/(-5)*(-5368)\/976*(-1)\/(-22)\nAnswer: 69\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*u**5 + 10121*u**4 - 2261912*u**2?\nAnswer: 1020*u**2 + 242904*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -772, -1296, -2742, -5572, -10248, -17232?\n\"Answer: -77*w**3 + w**2 + 12*w - 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g**2 + 314*g - 533. Calculate a(61).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 568 is divided by 284?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as -35\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23032 + 22121?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, f: 15}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6*18 - 3. Let a = 14 - m. Solve 0 = 5*f - 2*f - 4*c - 16, f - 20 = a*c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 27, -6, -1.\nAnswer: -6, -3, -1, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 673*k*m**2*z + 3*k*m**2 - 25*k*m - 127*k + m**2*z + 2*m**2 - 17*z + 1 with respect to z.\nAnswer: 673*k*m**2 + m**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.09 and 1616407.\nAnswer: 1616407.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 123, 709, 1673, 3015?\n\"Answer: 189*f**2 + 19*f - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -37*l**4 + 8*l + 10. Let g(p) = -36*p**4 + 8*p + 11. Let t(w) = -6*c(w) + 5*g(w). What is the second derivative of t(r) wrt r?\nAnswer: 504*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of 25*i**8\/112 - 2*i**4\/3 + i**3\/6 + 71*i**2. What is the second derivative of s(u) wrt u?\nAnswer: 1500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -588*r + 586*r - 12 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1893, -1832, -1771?\nAnswer: -1710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5100\/(-3910))\/(10\/(-184)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1877, 3731, 5581, 7427?\nAnswer: 9269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 9*w - 18. Let d be o(4). Determine c so that -2\/3*c**3 - 2\/3*c + 0 + 4\/3*c**d = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 8*r = -637. Let n = 54 - r. Solve n*s = -0*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -20, 2\/9, -21\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 194 and -124.\nAnswer: -24056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 3, -4, -1\/83, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*g - 22*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2867.5104 + -2869. What is k rounded to 2 decimal places?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49940 in -5\/2, -0.01, 3, 1\/5?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 34 = -5*q, 3*u - q = -2*u + 62. Let v = -81 - -135. What is the highest common factor of u and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 0*n + 23 = -3*n, 0 = -z + 2*n + 140 - 122 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5359, 5386, 5413?\n\"Answer: 27*u + 5332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1034.31318 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 1\/4*j**4 - 5\/3*j**3 + j - 3*j**2 - 4. Calculate s(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/10)\/w*w**(1\/13))**(-2\/165) assuming w is positive.\nAnswer: w**(1\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16511 - -11441?\nAnswer: -5040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.21 smaller than 12521\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 8.6. Let u = t + 3.6. Let v = -2.9 + u. Which is the third smallest value? (a) v (b) 0 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 17. What is the least common multiple of (-1)\/1 - v\/(-2) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36612*c - 268 = -36580*c + 308 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 - 4e679?\nAnswer: -4e68c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v - 2. Let l = -26 - -31. Let f = l - 8. What is the lowest common multiple of 3 and x(f)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 778*h = -1221 - 1469 - 422 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 217 and 8866.\nAnswer: 62062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/3 - 23*c - 142\/3.\nAnswer: (c - 71)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -246*m - 306 wrt m.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/11, 79, 1, -18, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3)\/h)**43\/(h**(2\/13)\/h**3) assuming h is positive.\nAnswer: h**(670\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77356 and 232068.\nAnswer: 232068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138442527?\nAnswer: 3, 41, 41687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*i*n**3*r - 2*i*n**3 - 2*i*n**2*r - 5*i*n + 3*n**3*r + 30*n**2*r + 2*r wrt n?\nAnswer: 90*i*r - 12*i + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -81, -128, -143, -120, -53, 64?\n\"Answer: o**3 + 10*o**2 - 84*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-3)\/6*1. Solve k = -4*w, -3*p = -4*w - 4 - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4466 divided by 154?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand h + 4 - 4 + (1 - h - 1)*(-2 + 1 + 0) + 1 + h - 1 + (235*h - 28*h + 10*h)*(2 - 2 - 2 + 4 - 3 - 2 + (0 + 2 - 3)*(0 - 2 + 3)).\nAnswer: -865*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 5*z, -2*n = 3*n - 4*z - 33. Let q(j) = j**2 - 8*j + 3. Determine q(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 1\/85, 4, 7, 6 in descending order.\nAnswer: 7, 6, 4, 1\/85, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 4*h**3 - 4*h**3)*(-10*h**2 - 10*h**2 - 5*h**2) + 41*h**5 + 4201*h**3 - 4201*h**3.\nAnswer: 16*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 64\/(-28) + (-2)\/(-7). Let h be 128\/40 - 8\/(-10). Let v = h + -4. Put v, -5, k in ascending order.\nAnswer: -5, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d + 42. Suppose 0 = -3*n - 29 - 4. Let x(w) = -w - 15. Let t be x(n). What is the smallest common multiple of g(t) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -3*sqrt(77)*2)\/sqrt(7).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, s: 1, l: 2, n: 1}. What is prob of picking 1 l and 1 s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 17 = 2*i, 0*f + i - 21 = 5*f. Let m = -3 - f. Calculate the smallest common multiple of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63475 less than or equal to 63758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -242878?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -10*l + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69 + 69 + 5*w**2)*(w - 5*w + 2*w) - 38 - 4*w**3 - 32*w**2 + 19*w**2 + 36.\nAnswer: -14*w**3 - 13*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 3*v + 17*v**2 + v + 2*v.\nAnswer: 17*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 51 - (-40 + 47) - 0\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**3 - 2 - 4*f**3 + 6*f**3 - 2*f**2 in the form y + c*f**2 + w*f**3 + x*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4600099.036 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 574 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-5)*(-1140)\/608)\/(-6*(-5)\/100)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*m - 2. Let w be (-60)\/42 + 4*m. Let w*q + 10\/7*q**3 - 24\/7*q**2 - 4\/7 = 0. Calculate q.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 28*s - 955. Calculate the remainder when 348 is divided by x(35).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462*v + 280 = 476*v. Solve 5*b = v - 30 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 39*s**2 - 18*s**2 - 22*s**2. Let g(j) be the second derivative of -j**4\/6 - 4*j**3 + 14*j. Determine v(g(t)).\nAnswer: -4*t**4 - 96*t**3 - 576*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/186853 and 19\/1121118.\nAnswer: 1121118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -137 - -588?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/18 and 33\/83642.\nAnswer: 752778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h - 30. Let y be s(-13). Let d = 50 - y. Solve -2*m - 4 = z, -4*z = -5*z - d for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -41*x. Let f(q) = -7*q. Give f(n(s)).\nAnswer: 287*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqnq when four letters picked without replacement from {n: 4, k: 1, o: 1, q: 6, h: 1, t: 3}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 235*u**2 - 687*u + 2106. Give y(-232).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4225 is divided by 49.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.9 - -0.1. Let z be (4 - (-7)\/(-2))\/(1\/84). Let b be ((-24)\/21)\/2 - (-10)\/z. What is the closest to b in -3\/7, 1\/6, f?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12350\/455 - 3*696\/72.\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.073208189 rounded to one decimal place?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*j - 3473 = 0, -n + 0*n - 2*j + 703 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1127 - -1138. Let h(w) = -w**3 + 13*w**2 - 22*w + 5. Calculate h(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2024 - 2310 = -11*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 2*o - 3. Calculate r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3521319394 to the nearest integer?\nAnswer: 59341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12 - 15 - (0 - 4))*795. What is the highest common divisor of k and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + -14. Calculate the remainder when 95 is divided by 1\/(4\/16*-2) - m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -19 + 46 + 39*a**2 + 2*a - 24. Is 20 a factor of u(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 6:04 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + 4*3*sqrt(187) + sqrt(187))\/((sqrt(44)*3)\/sqrt(4) + sqrt(11)) + 4.\nAnswer: 4 + 7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 61. Let h = -76 + l. Let o = -0.5 - -0.1. Which is the third biggest value? (a) o (b) -3\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - s + 11. Let k(g) = -2*g**2 - 23*g - 2. Let j be k(-8). Let t be (-81)\/j + -2 + 21\/6. What is c(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10394 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 263*q + 248*q - 2044 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 6858135530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*f - 36 = -87*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddqdqqqdqq. Give prob of picking 2 d.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 45, 661008, 5, 1\/3?\nAnswer: 661008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.25 + 0.25. Which is the nearest to r? (a) -1 (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -29 (b) -0.4 (c) 10 (d) -0.1 (e) 6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 9*u**2 + 10*u**2 + 10*u**2)*(-4 + 2 + 4) as q*u + n + b*u**2 and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(204) - -2*sqrt(204)*3 - sqrt(204))\/(-3*sqrt(24)\/sqrt(2)) + (sqrt(85)\/(sqrt(20)\/sqrt(4)) - (sqrt(17)*-1 + -2)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12270 divided by -10\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -l - u, 0*u - 3*u = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**2 - 14*q - 1. Let b be w(11). Solve 0*v + 3*s + b = v, -3*v + 5*s = -16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*y - 118*y - 34705. What are the prime factors of y?\nAnswer: 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v - 21 = 5*l, 5*v - 40 = 4*l. Suppose 0 = -2*g + g + 1. What is the tens digit of g\/(((-20)\/(-395))\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -3, 5, 12, 4, 88 in decreasing order.\nAnswer: 88, 12, 5, 4, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43.1 + -13. Let n = f + -35.1. Let h = 31\/168 - 1\/56. Which is the nearest to 2? (a) h (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {k: 3, f: 3, i: 5}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, 1\/2, 6\/17?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-71126)\/488 - -145) + (-70)\/(-104)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-9))\/((-532)\/3990).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = 2. Suppose t*x + 3*n - n + 12 = 0, 4*x + 44 = n. What is the units digit of 5\/x + 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((110\/(-8))\/11)\/((-1)\/4). Let z be 2*(8\/(-2) + d). Suppose 2*f - 2*n - 34 = 0, -2*f - n = z*f - 83. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1458 - 842. Let f be (z\/6)\/((-2)\/6). Calculate the lowest common multiple of 14 and f\/33*6\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -110*u**3 + 2*u**2 + 1 + u - 2*u**2 - 160*u**3. Let g be f(-1). Is g\/63*(1 - -6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*u + 38. Let w = 30 + u. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 35901510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 765 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -65, -5, 2479, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 669696373 and -0.4.\nAnswer: 669696372.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39528755 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/65 - 22\/26.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 214204?\nAnswer: -214134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 38. Solve -f*i = -i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -143\/12 (b) -0.059 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**20*(j**(-9\/7))**(-33) assuming j is positive.\nAnswer: j**(157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6285285 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z - 41. Calculate j(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42582443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -13 (c) 1\/4 (d) -1 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15863 + 3038 = -15*y. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137687.\nAnswer: 11, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -13) + 1\/(-14)*-6\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63956155.\nAnswer: 5, 12791231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + c**3 - 2)*(-3 + c + 3) + 4*c**4 - 16*c**3 + 16*c**3 as z*c**2 + a*c**3 + r + d*c + b*c**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7865 - -7853. Sort -5, 1, -4, b, 3 in ascending order.\nAnswer: b, -5, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/((-6)\/((-18)\/3)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -19*q**3 + 4*q**2 + 8*q - 8. Let g(h) = -25*h**3 + 3*h**2 + 10*h - 7. Let u(i) = 3*g(i) - 4*y(i). Calculate u(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frr when three letters picked without replacement from kfnkfknhdnrfrr?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 38*f = -150*f - 7216 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g - 8 = 0. Let b(x) = x**2 - x + 1. Calculate the smallest common multiple of b(g) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 + 2779 = 5*v. Let f = v + -129. Does 36 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + 2*c**2 + (19*c + 6*c - 2*c)*(-4*c + 2*c + 0*c) to the form j*c**2 + s*c + f and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 9:07 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -5. Let o = 5.52 + f. Let v = -1.6 + o. Round v to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21494393281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 926*s + 482. What is the units digit of y(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 10\/6)*(-17)\/((-102)\/(-72)). Suppose a + 0*d + d - 16 = 0, -3*d = -a. Calculate the greatest common divisor of a and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmnmmnmnnmmnm. Give prob of picking 1 m and 1 n.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 + 3*z + 122 + 0 - 2*z**2.\nAnswer: -2*z**2 + 3*z + 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1a7 (base 13) to base 3\nAnswer: 102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.1 > -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4026265381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10137153*g**4 + 7369*g - 153?\nAnswer: -121645836*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**6\/i))\/(i**3*i))\/(i\/i**0)**(-44))\/((i\/i**(1\/3))**(20\/9)*i**(-1\/2)*i\/(i*i*i**(-2\/19)\/i*i)*i) assuming i is positive.\nAnswer: i**(35821\/1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-24)*15\/(-2) + (-28)\/7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-76)\/(-18) - (-5 - (-329)\/63). Let g = -44 + 44. Solve g*d = q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4*g**2 - 13. Determine n(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 9083516?\nAnswer: 18167032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -39*o - 26. Let w(u) = -10*u - 7. Let k(y) = 2*b(y) - 9*w(y). Let q(z) = -z - 1. Calculate -6*k(t) - 66*q(t).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 + -1012120?\nAnswer: -1020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24\/623 - 907\/57316. Let r = k + 7\/23. What is the third biggest value in r, 26, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, -0.3, 11, 82, 1\/8, 0.3 in increasing order.\nAnswer: -0.3, -0.04, 1\/8, 0.3, 11, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/6 and 3\/(-12) - (-483)\/(-140)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(6\/5) assuming v is positive.\nAnswer: v**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 208077*h - 624250. Determine n(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0256997 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -767343204*d**2*f**2 - 2*d*f**2 + 6834*f**2 + 4380 wrt d.\nAnswer: -1534686408*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(84) - sqrt(84))\/sqrt(7))\/(sqrt(4) + 1*sqrt(36)).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 4 - (6 + -14 - -6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -795 by 40591.\nAnswer: -795\/40591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from miimemi?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j - 5. Let y(i) = -i - 1. What is c(z) - y(z)?\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6\/(y*y\/(((y**(-1\/7)*y)\/y)\/y*y)*y))**(-4)*(y*y\/y**5*y*y*y**(-1))**34 assuming y is positive.\nAnswer: y**(-556\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z - 21350 = -5*k, 4*k - 17035 = 5*z. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -o + 20, -1 = 3*i - 2*i. Suppose -2*z = -7*z + o. Suppose -g = z*g. Let q(y) = y - 6. Calculate q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:32 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*b - 4*q = -48*b - 1063, -3*q + 1071 = 3*b. Calculate the remainder when b is divided by 2 + -5 - (-78 - -1).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s + 2*s - 6*s)*(1 - 2 + 3)*(17*s - 8 + 8) to the form l*s + o + y*s**2 and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 178289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254319 is divided by 444?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/(u**(-2)*u))\/((u*((u\/((u**7*u)\/u*u))\/u)\/u)\/(u*u**(-6)*u)) assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from rrpugwrhwwrrg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 + 141 = -2*j - 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(18)\/sqrt(3)) - sqrt(1617)*-1)\/(2*sqrt(432) - sqrt(147)*-2).\nAnswer: 4*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -1\/3*x**3 + 24 + 0*x + 0*x**2. Let o(i) = -3 + 3 + 3*i. Give o(r(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/12*6\/4. Let a be 16\/8*(3 + w + 0). Sort -5, 1, a, -4 in increasing order.\nAnswer: -5, -4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-5*b**2 - b**2 + 7*b**2) - 6*b**2 - 4 + 4 - 1 - b**2 + 0 + 0.\nAnswer: -9*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1210*n + 2342059 = 2235579 for n.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzwwwwwwwwzwwwwwwwz. What is prob of sequence zzz?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x + 1. Suppose -3*w + w = 3*g - 3, -2*g = 2*w + 2. Calculate d(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 893 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -83673.2 times 0.096?\nAnswer: -8032.6272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 7741074?\nAnswer: 46446444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-2 - (-6)\/(-1)). Let c = 0.16 + 0.04. Put -1\/3, q, c in ascending order.\nAnswer: -1\/3, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110811173531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -1)*(-6)\/(-3). Let m(i) = -i**2 - 5*i - 1. What is the units digit of m(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 e when three letters picked without replacement from ttee?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2457 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + 22. Suppose 60 = 4*z - 4*a, 3*z + z - a = 75. What is the remainder when x is divided by (z\/(-15))\/((-4)\/42)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520258 to the power of 1\/2, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -107157.9266 rounded to the nearest ten?\nAnswer: -107160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 2 + 2\/3*u**3 + 1\/2*u**2 + 0*u. Find the second derivative of q(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -913*w**3\/6 - 1196*w**2 - 402*w + 4. Find the first derivative of c(z) wrt z.\nAnswer: -913","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 70*c**2 + 25*c. Let z(g) = 23*g**2 + 8*g. Let i(q) = 2*y(q) - 7*z(q). Find a such that i(a) = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.55 and 6.\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 + -114. Which is the closest to -3? (a) u (b) -2 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/42 + 20\/7)*(-5)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2. Let o(x) = 2*x. Let w(j) = 11*j - 41. Let u be ((-9)\/(-105) + 10\/(-35))*5. Let k(q) = u*w(q) + 5*o(q). Determine z(k(p)).\nAnswer: p**2 - 82*p + 1681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let d be 20\/(-15)*(-12)\/(-2). Let t be (-46)\/(-42) + d\/12. Which is greater: b or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.4 (b) -2\/7 (c) -2\/365\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 11 - 3. What is the third derivative of 0*d**3 - 4*d**2 + 4*d**b + 0*d**3 + 0*d**4 wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 37 = -4*n + 197, -5*j + 361 = 9*n. Solve n*g - 21*g = 54 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664075 is divided by 3219.\nAnswer: 3071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(686) + sqrt(686)*2)*1 + sqrt(686))*4)\/((sqrt(360)*-5)\/sqrt(5)) + -4.\nAnswer: -56*sqrt(7)\/15 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-561)*(-10 - -1)*-1?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307750 is divided by 1077?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + (sqrt(228) - 2*(-2*sqrt(228) + sqrt(228))) - sqrt(228)))\/(2*sqrt(432))*2 - (4*-1*sqrt(76))\/(sqrt(28)\/(sqrt(7)*-1 - sqrt(7))).\nAnswer: -25*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) - -6*-1*sqrt(1088)) + (sqrt(1088) + 0 + sqrt(1088) - sqrt(1088)) + -5)**2*5 + sqrt(1088) + -2 + -1 + -1 + sqrt(1088) + 2.\nAnswer: 1616*sqrt(17) + 87163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6*s - 22 = 2*s, 25 = 5*u + 5*s. Let k = 3 + -5. Sort u, -4, k in increasing order.\nAnswer: -4, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 at least as big as 2599\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3027 - 3006. Let u(z) = -7*z + 159. Give u(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 3*o + 244123, 2*o - 6*o - 732394 = -6*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 i when two letters picked without replacement from iaiaviaaavuu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3640*h**2 - 4213*h**2 - 7021*h**2.\nAnswer: -14874*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*v + 900. What is the common denominator of (-1885)\/v - (-2)\/10 and 39\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 14. Let k be d(0). Let y = k + 24. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 1:14 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**3 - 13*c**3 - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 85637, 0.3, 13\/3 in increasing order.\nAnswer: 0.3, 13\/3, 85637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*o + 3*m + 35, 4*o - 56 = -4*m. Let c = 12 + 1. What is the remainder when o is divided by c - 0 - 4\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21379 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-250)\/70 + -1 + 10\/2. What is the smallest value in d, 3\/5, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -1850*t - 1853*t + 3713*t. What is the smallest common multiple of 265 and t?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3333, 7285, 11261, 15261?\n\"Answer: 12*z**2 + 3916*z - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22561\/6 = 26.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 2. Let s = 64 + -63.7. Which is the third smallest value? (a) -0.1 (b) -5 (c) h (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 - -254?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -7. Let m = c - -17. Calculate the smallest common multiple of m and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3610089*f**2 - 23*f + 157290932 wrt f.\nAnswer: 7220178*f - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105998 = -787*c + 83*c - 44046 for c.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 21.5. Let j = 937 + -936.8. Which is the third smallest value? (a) 2\/19 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 43180310061 and 1480?\nAnswer: 43180308581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 0 + 2)*-5. Suppose 0 = o + 4*r - 23, x*o - 15 - 25 = 5*r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddisdsdsewdd. Give prob of picking 1 d, 1 e, and 1 s.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1375864900 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/6552 and -75\/52.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**5 + 111498*m**4 - 12225648*m**3 - 104942592*m**2 = 0.\nAnswer: -8, 0, 118, 37056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 19*s - 3. Let v(p) = -19*p + 3. Let i(n) = 3*q(n) + 4*v(n). Find the first derivative of i(x) wrt x.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 116*d**2 - 2*d - 7. Calculate k(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10871 is divided by 4676.\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.45, -3, -2 in decreasing order.\nAnswer: -1.45, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 5598384?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 9. Let k be i(16). Which is greater: k or -11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.922 and -0.3.\nAnswer: -3.8766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -1394?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = 5*r, j = r + 3 - 6. Sort -5, r, 0 in descending order.\nAnswer: r, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 19 + 41 = 0. Suppose 7*t = 3*t + d. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1024 divided by 6?\nAnswer: -512\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.438 rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 5306*p\/5 + 684624\/5.\nAnswer: 2*(p - 2517)*(p - 136)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 105503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255265183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7070257 and 22043.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/3 - 6704*w\/3 = 0. Calculate w.\nAnswer: -6704, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4 - 4020*s**3 - 434331*s**2 - 1689116*s - 1673052 = 0?\nAnswer: -3909, -107, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 10*j**2 - 22*j + 28. Let b be c(-12). Solve b*q - 5*f + 22 = 6*q, 4*f = 3*q + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3300089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-672)*28 + (-37)\/17*6\/18\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 9*w**3 - w**2 - 17*w + 31. Suppose 26*q = 38*q - 36. What is the hundreds digit of l(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 363?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 + -90. What is the second smallest value in -0.4, x, -5\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*z + 58*z**2 + 88*z**2 - z**2 + 37*z in the form j + s*z**2 + l*z and give s.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458118 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -425, -398, -361, -308, -233?\n\"Answer: r**3 - r**2 + 23*r - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**4*j**2 - 2*f**4*j + 2*f**3*j**2 + 19*f**2*j**2 + 4*f**2*j wrt f?\nAnswer: 96*f*j**2 - 48*f*j + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2986597997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1127?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32998 and -0.5.\nAnswer: 32997.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, x: 1, h: 3, s: 2, o: 3, e: 2}. Give prob of sequence xp.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -403 or 979\/4?\nAnswer: 979\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 2*t**3 + 0*t**2 - 5*t - 1 + 4*t + t**3. Let k be s(-1). Suppose -7*a + k*a = -300. What is a rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 43, 75, 141, 253, 423, 663?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*p - 11*p = 120. Solve 2*v - l + 6 = 0, 0*l - 2*l = p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxmmxxxmmx. Give prob of picking 2 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2816) + 4 + sqrt(44) + sqrt(308)\/sqrt(7) + ((sqrt(440) - (sqrt(440) - (sqrt(440) - sqrt(440)*2)))*4)\/(sqrt(10) - (sqrt(490)*1 + sqrt(10))))**2.\nAnswer: 1184*sqrt(11)\/7 + 241728\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/(x\/(x\/x**(-9)))*x))\/x**(1\/3))**(-11) assuming x is positive.\nAnswer: x**(374\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 2*t**2 - 4*t + 5. Let z be s(-4). Let v = -38 + z. What is the greatest common divisor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l - 13. Let j(h) = -9*h**2 + 10*h. Calculate g(j(u)).\nAnswer: -45*u**2 + 50*u - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*((4 + sqrt(5200) - sqrt(5200))**2 - sqrt(52)) + -3*(-1*sqrt(2548) + sqrt(2548)))*2.\nAnswer: -4*sqrt(13) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239238 is divided by 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**2 + 3*s**2 + 0*s**2 - 45669*s - 14*s**4 + 45671*s - 17*s**3 = 0?\nAnswer: -1, -1\/2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1585*j + 25. Let l be g(4). Suppose -16*k - 3*k = -l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 14*z**2 - 18*z + 4. Determine b(-14).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -127764228 divided by 63882114?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1300 and 12740.\nAnswer: 63700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530 = -38*s + 43*s. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l**3 + l**2 + 8. Let y be o(-4). Suppose -y = 3*w + w. Let k = -36 - w. Is 25 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, h: 1, z: 4, c: 2, p: 1}. Give prob of picking 1 k and 2 c.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + 22645670657\nAnswer: 22645670656.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.8 - 2.8. Which is the nearest to t? (a) 5 (b) 1\/3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1611923816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2918917 is divided by 656.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 16232077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k - 2*k**3 - 4*k**3 + 4*k**3 + 3*k**3. Let a be v(0). Let s(b) = 3*b**2 - b. Let f be s(1). Solve -2*c + 2*q + q + 5 = a, 3*c = -f*q - 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4987*h + 34. Is u(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1906*i - 1563. List the prime factors of k(10).\nAnswer: 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4 = 5*j + 3*y, -2*j + 3*y = -11. Let v be 16\/(-4)*(-22)\/8. Calculate the highest common factor of j and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 53*a**3 + 5*a**2 - 15*a**2 - 51*a**3 - 15*a - 10. Is y(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 2*k**5 - 5780*k**4 - 11574*k**3 + 17352*k**2 = 0.\nAnswer: -3, 0, 1, 2892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/22606 and 89\/2.\nAnswer: 22606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3 - 5*h**2 + 28*h + 15 = 0?\nAnswer: -5, -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9b733 (base 12) to base 10.\nAnswer: -206679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -829000 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2 + 3*g - 19. Let b(c) = -4*c - 17. Let s be b(-4). Let i be s + 4 - -1 - -2. Is z(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*h**3 - 44*h**3 + 161*h**3)*(-60 + 60 - 24*h).\nAnswer: -4464*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-2)*z)**32*z\/((z*(z*z**(2\/7))\/z*z)\/z*z*z)*z**(2\/23)\/z)**1 assuming z is positive.\nAnswer: z**(25245\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 114.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**6\/120 + 7*f**5\/60 + 5*f**4\/24 + 3*f**2\/2 - 2*f. Let p(g) be the first derivative of u(g). What is p(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-522)\/7047)\/((-8)\/((-16)\/(-6)))?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2670 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-21))\/((54\/(-2079))\/((-26)\/(-195)*15))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -468957444 divided by 4?\nAnswer: -117239361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362, -861, -1360?\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/3 - 62*g**2\/3 + 961*g\/3 - 300 = 0.\nAnswer: 1, 25, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 57 - 61, -d = 2*c - 11 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 343 = 3*j - 2697. What is the remainder when j is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3 - 4680*g**2 + 28026*g - 42012 = 0. What is g?\nAnswer: 3, 2334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c - 11. Let i(r) = 4*r - 12. Let k(g) = 2*i(g) - 3*j(g). Let z = -13 - -20. Let o be k(z). Solve -o = -w + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3210.428 - 3216. Let z = c - 0.028. Round z to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 534902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2. Let j(f) = 2*f**3 - 7*f**2 - 32. What is 5*h(k) + j(k)?\nAnswer: 2*k**3 + 3*k**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1790*s + 3482*s + 4686*s + 298*s + 1808*s as h*s + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -43. Suppose k - 4*y - 56 = y, k = -l*y + 46. What is the remainder when k is divided by 0 + 11 - 1 - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, -1, -34 in descending order.\nAnswer: 3, -1, -7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 59*a + 4. What are the prime factors of o(28)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 13*j**3 - 4*j**2 + 12. Let k(p) = -6*p**3 + 2*p**2 - 6. Determine -9*k(n) - 4*r(n).\nAnswer: 2*n**3 - 2*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 - 5*g - 3. List the prime factors of v(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68407869 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let o be f(2). Suppose -h + o*h = 249. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a**2 - 6 + 30*a**2 + 6.\nAnswer: 61*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 3*y**2 + 4*y + 3. Let s be x(6). Let m = -237 + s. Calculate the greatest common divisor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 5*i**2 - 86*i + 30. Calculate the remainder when a(11) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8025721 divided by -1991?\nAnswer: -4031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 - 0?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-40)*(3\/(-81)*66 - -3).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3813256 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 20\/9, 0.06, 24, 217\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-128))\/(9\/(-12)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -295 + 690. Let j be (2 + (-785)\/v)*(-12)\/(-6). Let p = -1 + 2. Is j at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522, -1874, -4124, -7266, -11294?\nAnswer: -16202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -263649\/88 + 2996. What is the second smallest value in 1.1, -2\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12b (base 12) to base 9\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 6*m**2 - 4*m - 5. Let l be o(4). Which is smaller: l or 12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/8)\/y**(2\/7))\/((y*((((((y*y\/(y**(-6\/5)*y))\/y)\/y)\/y)\/y)\/y)\/y)\/(y**(-2)*y)) assuming y is positive.\nAnswer: y**(459\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2342 (b) -2\/13 (c) -290 (d) -5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 1 = -5*h, 4*h - h = -3*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 2*d**3\/3 + 14*d + 3. Let r(f) = -2*f. What is r(s(g))?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0 - 28*w**2 + 133\/6*w**3 + 16*w. Let j(h) = -7*h + 3. What is -56*j(f) - 3*x(f)?\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 - 14 = 68*k + 96*k - 136*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -9 - (-3 + 6). Let a = 12 - x. What is the highest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2784644 to the power of 1\/2, to the nearest integer?\nAnswer: 1669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**9\/2160 + h**5\/30 + 9*h**4\/4 + 17*h. Let m(p) be the third derivative of u(p). What is the derivative of m(d) wrt d?\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 57582?\nAnswer: -1\/8226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -1\/3*j**3 - 39 + 0*j - 1\/2*j**2. Let s(u) = -8*u**2. What is 6*c(i) - s(i)?\nAnswer: 2*i**2 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*z - 2*i, z - 22 + 17 = i. Let w(t) be the second derivative of 0 + 27*t + z*t**2 - 1\/60*t**5 - 1\/36*t**4 + 0*t**3. Let w(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 5*x - 1 - 19, -c - x + 4 = 0. Solve c*a = 10, -4*s - 3*a = a - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 6. Suppose 0*x - 15 = -x + 4*o, -5*x - u*o = 0. Suppose -1 = 5*g - 6. Sort x, g, -1 in decreasing order.\nAnswer: x, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005723 to 4 decimal places.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 1:37 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/3)\/((m*m**(-8)*m)\/m)*(m**0*m)\/(m*m*(m**(2\/15)\/m)\/m)*((m*m**13*m)\/m**(-2\/33))**(-19) assuming m is positive.\nAnswer: m**(-15269\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1949010530697864 and -3.\nAnswer: 1949010530697861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 16*n**3 + 35. Let l(m) = -2*m. What is b(l(c))?\nAnswer: 192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/5))**(-41))**(3\/4)\/((g**(-1\/2))**(-1\/6)\/(g**(-2\/17)*g*g*g*(g**5\/g)\/g*g)) assuming g is positive.\nAnswer: g**(331\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.6 - 21. Let t = w + -6.6. Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -3\/2, -7, 1\/2, -2\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**3 - 10*y**2 - 2. Let p(i) = 2*i**3 + 11*i**2 + 4. Calculate -2*p(w) - 3*r(w).\nAnswer: 2*w**3 + 8*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*p - 39, 0*t + 37 = 5*t + 2*p. Let u be ((-30)\/t)\/(1\/(-7)). Calculate the highest common factor of 45 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2494435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 5*m**2 + 2*m - 3. Suppose b - 502 = -497. Determine y(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - ((-1 - 9) + -4)) + 8.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1224 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*183\nAnswer: -54.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -1\/4 (c) 0.4 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, o: 3, x: 3, m: 6}. Give prob of picking 2 w and 1 m.\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -686, -2749, -6188, -11003, -17194, -24761, -33704?\nAnswer: -44023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-30))\/((-1)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/238869 and 73\/12?\nAnswer: 955476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.6, 27, -3\/8 in ascending order.\nAnswer: -2, -0.6, -3\/8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-8) - 5\/20. Let o(t) = -3*t**3 - 2. Is o(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*(228969\/(-824))\/117.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -2*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 3, w: 2, h: 6}. What is prob of picking 2 w and 1 o?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 = -2805*u + 2822*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*f = 30, 4*u = -12*f + 13*f + 16. Let i(g) be the second derivative of 1\/50*g**u - 2\/5*g**2 + 0 - 1\/5*g**3 + 0*g**4 + g. Factor i(y).\nAnswer: 2*(y - 2)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3287a8 - -a?\nAnswer: -32879b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 118 = -18. Suppose -30*z + 25*z = -k. Suppose 5*r - 229 = t - z*t, 232 = 5*r + 4*t. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/3300 and -145\/8172?\nAnswer: 2247300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**9\/10080 - q**8\/1120 + q**7\/1680 + q**6\/120 + q**4\/6 + 141*q. Let n(r) be the third derivative of g(r). Factor n(p).\nAnswer: -3*p*(p - 1)*(p + 1)*(p + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8741662*b**2 - 8*b + 41033 wrt b?\nAnswer: 17483324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 46490000 to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 2. Let t be f(6). Suppose -32 = 3*y + t. Let h = -6 - y. Calculate the remainder when 13 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3819*l - 1901. Is m(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or 0.37?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/287?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 8098 and -13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 589 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7511 or 0?\nAnswer: -7511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1233533646 - 1?\nAnswer: -1233533647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 378156773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -2\/13, -5\/12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5697020 - 40*s**3 - 5697020.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16873 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let s(b) = 1. Let d(i) = i + 4. Let h(u) = -d(u) + 4*s(u). Calculate y(h(o)).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*s + 164, -2*s - 100 = 3*f + 22. Let r be -7*(f\/147 - 2\/7). Factor 1\/3*q**3 + r*q + 2*q**2 + 8\/3.\nAnswer: (q + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*f + f + 170. Let a(w) = w**2 - 6*w - 2. Let d be a(-10). Let m = d + -88. Calculate the greatest common factor of m and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -104 + 1?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = i - 2*u - 0*u, -5*i - 895 = -5*u. Suppose 0*z - 47 = z + 4*o, 0 = -z - o - 62. Let p = z - i. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3729 = -132*d + 24*d for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6*r - 5. Let z(o) be the third derivative of -o**6\/60 - o**4\/24 + o**3\/6 - 3*o**2. Give z(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 90*x**2 - 92*x + 271. Let q be a(89). Solve 0 = -q*g - 11 + 19, 1 = -5*o - 2*g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d = 339. Let y = d - -65. Let v = -2 - y. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6}. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 431?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l**2 + 21*l + 65. What is g(-6)?\nAnswer: 227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 12*t**2 + 10*t - 10. Suppose -88*u + 66 = -82*u. What is b(u)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4079526, -4079436, -4079344, -4079250, -4079154, -4079056, -4078956?\nAnswer: -4078854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.2 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1, 6 in ascending order.\nAnswer: -1, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1160 + -2383\/2. Calculate the common denominator of x and (-23)\/(-3) - (-3 - 27\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*k - r + 23, -3*k - k + 25 + 4 = 3*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 3. Suppose -r + 2*r + 3 = a, 4*r = -k - 8. Calculate the remainder when 14 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*z = 100*z + 4. Solve -7*c = -6*c - z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92789365.\nAnswer: 5, 18557873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 960, 1950, 2866, 3672, 4332, 4810, 5070, 5076?\n\"Answer: -6*m**3 - m**2 + 1035*m - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*i + 7 = i, 5*t - 5*i - 40 = 0. Let l = -233\/7 + 33. What is the closest to -0.2 in l, 0.5, t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 1, -0.19, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**7\/840 - a**6\/72 + a**5\/20 - 5*a**4\/24 - 17*a**3\/6 - 6*a. Let t(p) be the second derivative of k(p). Give t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12651894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14*110\/(-100) + 14\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 1.5. Let j be 1134\/20 + 3\/(-6). Let k = j + -56. Which is the closest to 0? (a) -8 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.62 - 10.6. What is the second smallest value in 9, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72899 (base 16) to base 3\nAnswer: -212211112202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -131 - -259. Let x = -85 + d. Let b = x - 22. Which is greater: b or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127 (base 8) to base 10.\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -698, -696, -694, -692, -690, -688?\n\"Answer: 2*g - 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 + 124. Suppose -24*s - o*s + 9828 = 0. Is 21 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 288225?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/((-18)\/36*-3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-9 + -8 + 18) - (31 - (6 - 4))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 4*i**3 + 20744*i**2 - 2982004*i + 2961256 = 0.\nAnswer: -5326, 1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to 214559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -29, -74, -153, -278, -461, -714, -1049?\nAnswer: -1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 0 + (0 - -1). Let l be ((520\/3)\/y)\/(10\/15). Let x = 68 - l. Solve 3*j - 16 = -7*o + 2*o, 3*j + x*o = 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/4 + 9731382*m + 94699795629924 = 0. Calculate m.\nAnswer: -19462764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**3 - 2*k**2 + k. Let r be z(1). Let t = -437 + 448. Calculate the highest common factor of r and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**3 + 279*c**2 - 396*c - 204.\nAnswer: -3*(c - 17)*(c - 2)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 17 + -30 + 16 - -11.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717919 at least as big as 1717919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*p + 296*p + 284*p - 898*p.\nAnswer: -56*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -15 (b) -0.1 (c) 4 (d) 11 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5 - -19)\/(-7))\/(84\/96*-4)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + 14. Let n = 104 - v. What is the greatest common divisor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**3*t**2*z**2 - 511*j**3*z**2 + 46*j**2*t*z**2 + 2*j**2 - 2*t**2*z**2 wrt j?\nAnswer: -6*t**2*z**2 - 3066*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6}. Give prob of sequence ss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:26 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**2*o - 4164*k + 22942*o wrt k?\nAnswer: -4*k*o - 4164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**3\/15 - 7382*j**2\/15 - 42036*j\/5 + 44496\/5 = 0?\nAnswer: -18, 1, 3708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/2)\/((-13)\/(-195)*15). Sort l, -1, -991 in descending order.\nAnswer: l, -1, -991","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-45))\/2*(-130)\/(-39). Factor 0*t - 2\/9 + k*t**2.\nAnswer: 2*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/2)\/(287\/(-2460))*(-4)\/5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50235019 from -4.9.\nAnswer: -50235023.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 5)*(2*l - 2*l + l) + 0*l + 0*l + 2*l - 5*l + 0*l + 3*l)*(3*l + l**2 - l - 3*l**2).\nAnswer: -4*l**3 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -14*v**2 - 24*v - 318. Let w(j) = j**2 + 2*j - 1. Calculate 12*w(f) + z(f).\nAnswer: -2*f**2 - 330","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60442 and 32618?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 - -63 - (-2223)\/364?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2736) + 2 + 1)*-1*-5)**2.\nAnswer: 1800*sqrt(19) + 68625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -13*f**8\/6720 + f**6\/720 - 25*f**4\/12 + 19*f**2. Let s(c) be the second derivative of x(c). Give s(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149161?\nAnswer: 149161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -158.9 + 159. Is q >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 times 0.1\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4698 + -4695. Let q(n) be the second derivative of -8*n + 3\/2*n**2 + 0 + 8\/3*n**m. Find the first derivative of q(a) wrt a.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + 4*l)*(-200*l + 133*l - 119 + 74*l).\nAnswer: 14*l**2 - 238*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 254 or 1054?\nAnswer: 254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652461 is divided by 93204?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/5 + 0 - 68\/85. Solve -k - k + 6 = -q*r, -k - 3*r - 9 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 100*m**2. Let o(f) = -577*f. What is o(k(s))?\nAnswer: -57700*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3460449 divided by 1?\nAnswer: -3460449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15.8, -2\/5, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*a**2*o**2 + 879*a*o**2 - 61*o**2 + 5*o + 13 wrt a?\nAnswer: -46*a*o**2 + 879*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s**2 - 12*s. Let p(v) = -825*v**2 - 7*v + 10440. Let o(r) = -p(r) + y(r). Differentiate o(n) wrt n.\nAnswer: 1664*n - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9332, -18648, -27934, -37178, -46368, -55492?\nAnswer: -64538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 898, 1926, 3348?\nAnswer: 5164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/3 (b) 4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*sqrt(1573) + sqrt(1573)) + -1 + (sqrt(13) - sqrt(65)\/(sqrt(5)*-2)) - (-5*(-2 + sqrt(52) + sqrt(52))*-5 + -3))**2.\nAnswer: 3484*sqrt(13) + 69173\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) + sqrt(576)*-2 + sqrt(576))\/sqrt(2) + ((sqrt(198)*2)\/sqrt(9))\/sqrt(11).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 7*m + 8. Let o = 28 - 35. Let a be s(o). Suppose -2*y - 18 = -a*y. Solve -y*r - 2 + 14 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x - 6*x + 32 = -45 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/15, -1, 0.3, -0.18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-81440)\/(-2200) - 38) + -1 + (-18)\/(-10). Sort 1, h, 0.01, -29.\nAnswer: -29, h, 0.01, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 267824 and 2893472.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*w - 3. Solve -w*n + 2*a - 3*a - 4 = 0, 2*n = 4*a + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 750486345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 173 + 7. Suppose 0*q + 2*w = q - 8, 5*w + t = 5*q. Let o = 17 - q. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a4 + -2?\nAnswer: a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33910.\nAnswer: 2, 5, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -affd4 (base 16) to base 5\nAnswer: -141031402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.053733 micrograms to milligrams.\nAnswer: 0.001053733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 16*g - 20 = 0. Let j(b) = 2*b**2 + 8*b + 10. Let m be j(g). Solve 2*o - 4*w + m = 0, 4 = -3*o + 3*w - 11 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 419511 divided by 3.\nAnswer: 139837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(10\/8) + -1. Let j be (-3)\/(-15) + 1\/k. Let h be 1 - (-1)\/((-1)\/4). Sort -4, j, h in increasing order.\nAnswer: -4, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5960 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*j - 15, 2*j - 4*j + 45 = 5*g. Let n(b) = b - j - 5 + 15. Let h(v) = -5*v**2. Determine n(h(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1307 - 1243. Sort -5, v, 5 in decreasing order.\nAnswer: v, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzk when three letters picked without replacement from {r: 1, k: 1, z: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (3 - 8 - 10).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 5, 3504, -3.\nAnswer: -8, -5, -3, 5, 3504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*l + 111*l = 14*l - 2214 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 974 - 584 = 0. Is ((1 - 4) + l)*-1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2147120 and 640?\nAnswer: 17176960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 8:12 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -18*q - 2. Let k(m) = -91*m - 11. Let i(r) = 2*k(r) - 11*v(r). Let n be i(2). Let x(d) = 17*d - 2 + 21*d - n*d + 1. Calculate x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + 4 + -12 + (3 - 11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*m + 3*m - 2*m)*(2 + 3 + 1)*(-m**2 - 2*m**2 + 0*m**2) as p*m**3 + i + y*m**2 + a*m and give p.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-3)*(-225)\/30. Let j be (4\/s)\/((-2)\/15). What is the nearest to -5 in 3, 1\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {z: 1, x: 1, i: 14, a: 3, y: 1}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 17*f - 22*f + 248 = -109*f, 0 = -4*g - 23*f - 156 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -830, -832, -836, -842, -850, -860, -872?\n\"Answer: -w**2 + w - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 4 = -4*m, -4*m = -2*o - 2*m + 14. Solve o*c - 4 - 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 38*b**3 + 8*b**2 - 7*b - 400. Let r(s) = 13*s**3 + 3*s**2 - 2*s - 133. Let i(h) = 2*f(h) - 7*r(h). Differentiate i(j) wrt j.\nAnswer: -45*j**2 - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1296 - 1817 - 2480*z**2 - 1020 wrt z.\nAnswer: -4960*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624693 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 0 + 0*g**5 - 29\/30*g**6 + 0*g**2 + 0*g**3 + 7*g + 5\/3*g**4. Find the third derivative of t(r) wrt r.\nAnswer: -696*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.8667l to millilitres.\nAnswer: 91866.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 divided by -1046?\nAnswer: -285\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -5, -7, 5, 1.\nAnswer: -19, -7, -5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 11*s - 13. Let w be z(9). Suppose 2*a + 30 = w*i, -11 = -i + 5*a + 18. Suppose i*k - k = 108. What is the remainder when k is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4607880 and 24?\nAnswer: 4607880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 1931 - 645. Find the third derivative of 2*c**3 - 6*c**4 + 7 - i*c**2 - 5*c**4 + 363*c**2 wrt c.\nAnswer: -264*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23276*n**2 - 3537 with respect to n.\nAnswer: -46552*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -182*f + 195*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4071*n**2*s**3*u - 1332*n**2*s*u + 2*s**3*u - 9754*s**2*u - 21*s**2 with respect to n.\nAnswer: 8142*n*s**3*u - 2664*n*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -138*w + 121*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 10*v + 4. Let k be m(10). Suppose 3*l + 3*s - 81 = l, 2*l - 80 = -k*s. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v + 40*v + 26*v)*(-1 + 0 + 2) + (v + v + 0*v)*(0 + 0 + 2) - 2*v + 3*v + 0*v + 0*v + 4*v - 3*v.\nAnswer: 55*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, f: 2, v: 6}. What is prob of sequence vfof?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 - 6735462?\nAnswer: -6735443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, 2, 0.5, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 335244534 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, -7, 4, -3\/7, 0.2, 0.1 in descending order.\nAnswer: 4, 0.2, 0.1, -3\/7, -7, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, -3, -1 in increasing order.\nAnswer: -3, -1, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*b**4 + 7\/4*b**3 + 17\/4*b + 3\/2 + 17\/4*b**2.\nAnswer: (b + 1)**2*(b + 2)*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**3 - 536*l**2 + 7650*l + 875. What is g(-147)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288666, 288677, 288686, 288693, 288698?\nAnswer: 288701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7082 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 389822426*f - 389822426*f + 35*f**3 - 140*f**3.\nAnswer: -105*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -16\/24999?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11619 - 11686. Which is the smallest value? (a) t (b) -3\/5 (c) 0.3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1314 is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -16, 3, -2\/39, 0.0693, 5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - k + 4. Let h(c) = -3*c**2 + c - 4. Give -3*h(t) - 4*y(t).\nAnswer: t**2 + t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4194 and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, 0.2, -12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1878 bigger than -84476\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 1)*(-3*r + 0*r + 2*r) + r - 5*r + 2*r - 3 + 3 + 9*r as o + u*r and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 + (-26 - (3 + -5)) + 1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from elie.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5. Let l = x + -5. Is 22 a factor of -6*(3 - (-63)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*k**3 + 5*k**2 - 5*k**2)*(-2 - 4 + 2)*(-5 + 0 + 268 + 190 - 13) to b*k + w + i*k**3 + a*k**2 and give i.\nAnswer: 17600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 1 - 9 = -5*s, -5*s + 35 = h. Let g(b) = -4*b - 1. Let d(z) = 7*z + 2. Calculate s*d(f) + 11*g(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (54 - 72) + -23\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:50 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -360589643.99912 and 16?\nAnswer: 360589659.99912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 6*z - 7. Let m(r) = -r**2 + 29*r - 16. What is the remainder when m(27) is divided by n(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11300047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -637705129 - 70438.\nAnswer: -637775567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 7. Calculate the remainder when p(-13) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 73, 386, 919, 1678, 2669, 3898, 5371, 7094?\n\"Answer: b**3 + 104*b**2 - 6*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -t**3*y + 14*t**3 + 744113*t**2*y - t + 29964695*y wrt t.\nAnswer: -6*t*y + 84*t + 1488226*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27009 and 238522481.\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 1\/4, -1\/5, 4, 1\/3, -3\/4, 0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*y + 2 = 0, -323*h + 321*h - y = -4. Solve 15*x - 12*x + h*a + 12 = 0, -4 = x + 5*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/9)*w*w**41 assuming w is positive.\nAnswer: w**(374\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ce8 + -57?\nAnswer: c91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552171?\nAnswer: 3, 184057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -10140*f**2 - 10119. Let n(u) = 3381*u**2 + 3374. Let w(t) = 8*n(t) + 3*r(t). Differentiate w(i) wrt i.\nAnswer: -6744*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.02 + 9. Let s = h + -0.48. What is the nearest to 0 in s, 0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -3, -5644, -0.03, 2 in descending order.\nAnswer: 37, 2, -0.03, -3, -5644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 - 7*l**3 + 3*l**3 - 557*l - 87*l**2.\nAnswer: 2*l**3 - 87*l**2 - 557*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -19*x + 10*x. Let d be 2\/(-4)*2 - (x - -64). Let p = -46 - d. Solve 2*z = u - 0*u + 6, -p*u - 3*z = -9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62018531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1036953 + 3897906353\/3759. Let w = k - 6941\/4807761. Let y = w - -126565\/10232. What is the common denominator of 111\/20 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**2 + 5*i - 10. Calculate h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2138 - 2138 - 56*o)*(2*o**4 + o**4 - o**4) - o**5 - 2*o**5 + 4*o**5 + (-o**2 - 2*o + 2*o)*(2*o**3 - o + o) + 4*o**5 - 3*o**5 - 2*o**5.\nAnswer: -114*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 24 = -3*g - 5, 0 = -4*g + 4. Suppose -5*p = -v*p - 12. What is the tens digit of ((-186)\/p - 1)\/(2\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4973 + 5001. Solve 20*y - 6*y = -u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)*5*2)\/(sqrt(6)\/((sqrt(18)\/sqrt(2))\/sqrt(3))).\nAnswer: 70*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68427180 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 3)*1 - ((sqrt(832) - (sqrt(832) + -2)) + sqrt(832) - sqrt(832) - sqrt(13)) - (-3 + -2*((sqrt(13) - sqrt(39)\/sqrt(3)) + 0)))**2.\nAnswer: 16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -31, 5, 77, 197?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 1, -346 in decreasing order.\nAnswer: 2, 1, -1, -346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owow when four letters picked without replacement from kowwwokwwowokwkw.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 + i**2 - i. Let a(m) = -27*m**3 - 5*m**2 + 10*m - 4. Calculate a(x) + 5*z(x).\nAnswer: -17*x**3 + 5*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -3.94 (c) 5533\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 4*w + 15, 5*r + 9*w - 4*w = -45 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 7*u**3 - 6*u**2 + 4*u - 2. Let c(z) = -6*z**3 + 5*z**2 - 3*z + 2. Let l be (-4)\/10 + (-2580)\/300 + 14 + -1. Give l*i(v) + 5*c(v).\nAnswer: -2*v**3 + v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 0, -951, 1 in decreasing order.\nAnswer: 1, 0, -38, -951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -12*h**2 - 48*h + 3. Let w be p(-4). Let f(m) be the first derivative of 6*m**2 - 3\/2*m**3 - 3\/4*m**4 - w - 6*m + 3\/10*m**5. Factor f(v).\nAnswer: 3*(v - 2)*(v - 1)**2*(v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-1*sqrt(720) + sqrt(20))*1)\/(1*(2*sqrt(12))\/sqrt(3)))**2 + 4.\nAnswer: 25*sqrt(5) + 241\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.1 - 2.1. Let w = -0.2 - m. Is -0.1 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 - 297. Let d = v - -237\/2. What is the common denominator of (-242)\/20 - (-4)\/10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*r - 45 = 0, -r = -2*f - 4*r + 18. Is 16 a factor of ((-24)\/f)\/((-2)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*k**3 + 121*k**3 - 104*k**3.\nAnswer: -84*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2127*f = 1960*f + 6346 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 - -391\/4. Let m = 0.05 - 0.02. Let s(u) = -91*u + 1180. Let v be s(13). Which is the nearest to m? (a) v (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 + 16*l - 14*l - 31*l**3.\nAnswer: -27*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -4*s**2 - 2*s - 34. Determine k(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 137 + 137. Suppose d = -c - 4*c - 395000. Round c to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y - 31*y = -19*y + 159*y + 740 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 246*k + 3705.\nAnswer: -3*(k - 13)*(k + 95)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/6*296\/(-2220))\/(59\/6).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1410970 and 89789.\nAnswer: 9876790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573)*1*-1 + -2.\nAnswer: -11*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.35. Let j be (9 - 3)*(-1)\/(-4)*-2. Let r be 1*(16\/(-60))\/(-2)*j. Put r, 3, a in ascending order.\nAnswer: r, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 6*d**2 + 7*d + 6. Let l be (-93)\/(-13) - 4\/26. Let q be j(l). What is the second derivative of 6*z**2 - q*z**2 - 3*z - 5*z**5 wrt z?\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 20302141?\nAnswer: 20302133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 2, 38 in decreasing order.\nAnswer: 93, 38, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = d - 3*c, 8*c - 12 = 12*c. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9078558632.\nAnswer: 2, 11, 13, 439, 18077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 39\/(-7) - (552\/(-133308))\/(2\/(-193))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*-1*6\/396*(-1110)\/74\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1572 and 63404.\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22810 is divided by 496?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 13*j**2 + 32*j + 892. Determine x(-14).\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 625, 1563, 2503, 3445, 4389, 5335?\nAnswer: 6283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-3)\/(-6)*(43 - (-36616)\/(-989))?\nAnswer: 1\/86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*h + 3*c, -c = -124*h + 110*h - 130 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, h: 6}. What is prob of sequence hnnh?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v + x - 8, 0 = -3*v - x + 25. Suppose -v*c + 684 - 604 = 0. Solve -13*n = -c*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.122 and -10126623.45?\nAnswer: 10126628.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130433 divided by 53.\nAnswer: -2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/680 and -51\/251636.\nAnswer: 42778120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 34 = -9*a. Solve 1 = 2*d + a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -26*s**3 + 4*s**2 + 2*s - 2. Calculate the smallest common multiple of l(-1) and 14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-6))**(2\/23))**33)**(1\/30) assuming v is positive.\nAnswer: v**(-66\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 133 = 127. Suppose 3*t = 20*t + 816. Let q = x + t. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 4389?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwwr when four letters picked without replacement from {w: 4, r: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 136013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1648601 + 15*g - g - 11*g + 1648601.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q - 91 = -53. Let s = -1 - -1. Let y = 14 - 9. Which is the nearest to -2? (a) y (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 98. Let w = -5 - -9\/2. What is the nearest to w in o, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1286+5591139.93162\nAnswer: 5591140.06022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23539079 - -1\nAnswer: -23539078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 28. Put h, 0, 2 in increasing order.\nAnswer: h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -9. Suppose o*q = 4*q. Suppose -7*n + 4*n = q. Solve 5*r + 21 - 1 = n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 4. Let n(v) = 2*v + 4. Let f(j) = 2*j + 3. Let k(b) = 6*f(b) - 5*n(b). Let y = 75 - 78. Calculate y*r(l) - 5*k(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -58, -2\/5, 0.03?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 7. Let s(r) = r**2 + 23*r + 36. Let i(u) = -6*n(u) - s(u). What is i(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c, 26359*u + 5*c + 4 = 26361*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + f**2 - 2*f**2 + f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1741\/8 + 218. Let j = -18 + 13. Let z be -6 - (159\/(-15) + 5). What is the closest to z in j, 0.4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 29, 71, 133, 215?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 324912 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*k - 358*k - 1977 - 1973 + 3951.\nAnswer: -215*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h + 3. Let n be (-8)\/(-24) - (-4)\/h. Let d(j) = 12*j**3 + 2*j - 1. Let i(t) = -t**3. Let c(m) = -d(m) + 6*i(m). Determine c(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 19*k**7\/42 + k**4\/12 + 61*k**3\/2 + 252*k**2. What is the second derivative of s(c) wrt c?\nAnswer: 1140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1756 = -19*f + 16*f + 90*f - 1550 for f.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 2*z**2 - 5 + z**2 - 4*z**2 + 2*z**2 + (-4*z**2 + 3*z**2 + 3*z**2)*(4 + 0 - 5) + z**2 - 2*z**2 + 0*z**2 + (8 - 8 - 5*z)*(-10 + 10 - 6*z).\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29600 is divided by 99?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1*((sqrt(176) + 3 - sqrt(176)) + sqrt(176))**2 + (sqrt(77)\/(-3*sqrt(56)\/sqrt(8)))**2.\nAnswer: -1672\/9 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 1, 14, -3 in decreasing order.\nAnswer: 14, 1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvr when three letters picked without replacement from vggvbrvgvr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) -447 (c) -0.5 (d) 3 (e) 1825\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 64302 = 64304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1747395 and 6180?\nAnswer: 6989580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12002 + -2?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20111 (base 6) to base 15.\nAnswer: -baa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**2 + 4*q + 5. Let f(z) = -4*z**2 - 2*z - 3. Calculate -5*f(w) - 3*s(w).\nAnswer: -w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 93 - 88. What is the nearest to -1\/4 in t, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -757*f**5 + f - 17567*f**3 + 17567*f**3 + 215 wrt f?\nAnswer: -15140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 q, 1 i, and 1 k when four letters picked without replacement from knnnnnnnnmnniqnni?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220105 (base 6) to base 12.\nAnswer: a635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**2 + 8. Let q(i) = -1. Let v(x) = 24*q(x) + 3*t(x). Let s(j) = -74*j - 9. Let z be s(-2). Let p(l) = -z*l - 139*l + 280*l. Give p(v(u)).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 3*n - 1. Let q be b(2). Let k be ((-99)\/3 - q)\/(-1). Suppose -5*y - k = -134. Calculate the lowest common multiple of 12 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 5. Suppose 3*z = z + l. Suppose 4 = 4*m, 3*m = 3*u - 4*u - 2. Sort u, 3, z in ascending order.\nAnswer: u, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553, 874, 1195?\nAnswer: 1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51451 is divided by 4677.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -53240 (base 6) to base 4\nAnswer: -1300320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 340 in -5, 4\/11, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*o + 27*o - 143*o.\nAnswer: -162*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12134 divided by 2\nAnswer: 6067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 10, c: 1, f: 4, h: 1}. What is prob of sequence gyg?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 524, -57, 163\/2?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.2, -4\/169, 17, -2, -14, -3?\nAnswer: -4\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5 - 3) + 46\/6*1.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*v + 4*v - 12*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -20*c**2 + 39*c + 23. Let n(x) = 10*x**2 - 20*x - 11. Let m(q) = -7*n(q) - 4*o(q). Does 16 divide m(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 16*w + 6. Suppose -w*m = -4*m. Solve -2*q = -m*q + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18\/13 - -111\/52. Find the common denominator of y and (1\/14)\/((-2)\/78).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 8:27 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11 = 3*v, 0*j + 3*j + 2*v - 19 = 0. Suppose 0 = 3*t - i + j, 0 = t - 3*i + 15. Suppose t = -m + 84 - 29. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3*i + 3*i)*(0 - 4 - 4) - 2*i + 2*i + 3*i + 9*i + 0 + 0.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6804.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.40000525 - -8.4. What is w rounded to 7 decimal places?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -0.4 (b) -3 (c) 1 (d) -1\/5 (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 878843941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 356 less than or equal to 2000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 0*x**3 - 1\/2*x**4 + 9 + 4*x + 0*x**2. Find the first derivative of r(y) wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235702535 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/5 - 8739166*w\/5 - 17478324\/5.\nAnswer: -2*(w + 2)*(w + 4369581)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-351*m**2 - 395*m**2 + 929*m**2)*(1 + 4 - 2 + (-2 - 2 + 2)*(-2 - 1 + 4) - 3 + 1 - 3).\nAnswer: -732*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 286152 > 286158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 3*b + 3. Suppose d - 3*a - 4 = 0, -4*a + 16 = 4*d - 0*a. What is s(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30544424*c**2*s**4 - c**2*s**2 + 1321*c**2*s - 3*c*s**2 + 123*c - s**4 wrt s.\nAnswer: 733066176*c**2*s - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 3 = 4*h, 820*h = 3*w + 826*h - 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 275 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 366*m + 18. Let w(t) = 4*t - 9. Let f be w(4). Let x be j(f). Suppose 8*y - 23*y + x = 0. What are the prime factors of y?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -988 by 247.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 3 + 0*n + n - n**3. Let g be f(0). Suppose g = 5*q - 0*q - 2*s, -s = -4*q + 3. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-9) - (-8)\/(-6). Let s be (-3031)\/(-21) - (7\/3 + i). Suppose -s = -2*c - 4*y, 0 = 3*c + 3*y - 4*y - 209. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, y: 10}. What is prob of picking 2 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqnoovqss. What is prob of sequence qs?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**5\/30 + 19*k**4\/8 - 10*k**3 + k**2\/3 + 40*k + 3553. Let b(h) = 0. Calculate h.\nAnswer: -60, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 5 + 0*d**3 + 3*d**2 + 2 + d**3. Let b be x(-3). Is b smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 556340 - 241345. Suppose 3*l - 5*j - b = 0, 7 = 5*j + 2. What is l rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4045*r**3 + 9*r**2 + 5*r + 6. Let a be h(9). Let g = 1708026 + a. Let b be 4\/((-16)\/4) + g. What is b rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 26*g - 4 - g**2 - 59*g + 29*g. Let y(m) = -m**3 + 9*m**2 - 3*m + 24. Let d be y(9). Determine n(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(69*(-2)\/4).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 - 7.4?\nAnswer: -257.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (82 - (32 - 39))*(13 + -12)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 1681.5607.\nAnswer: -1681.6607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 264400373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 72\/(-28)) + (-90311)\/(-91) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q. Let x(f) be the first derivative of -7*f**2\/2 + 5*f + 317. What is x(g(l))?\nAnswer: 28*l + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.031 + 0.46.\nAnswer: -20.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39975 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 4*h + 0*h)*(-h + 0*h + 3*h) + 0*h**2 + 2*h**2 - 3*h**2 + (-4 + 3 + 2)*(-6*h**2 + h**2 + h**2) in the form c + d*h + n*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -10, 3\/4, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6134887 and 88.\nAnswer: 49079096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 108?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 24 = -4*z, 7*s + 12 = 3*s. Let o be 8\/(-4 - (3 - z)). Suppose 5*k - o*y - 45 = -8*y, 3*y - 25 = -2*k. Which is greater: 6 or k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 142866 and -4067.\nAnswer: 138799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + ((sqrt(22)*3)\/sqrt(11))**2 - sqrt(32)\/sqrt(4).\nAnswer: -sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/25 + -37\/50. Let m = -2180\/9 - -242. Is q > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 337941.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 2*g**2 - 14*g + 1. Let p be l(-3). Let c(o) = 13*o + 3. Let t(h) = 41*h + 11. Let r(y) = -7*c(y) + 2*t(y). Determine r(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20a + -33187?\nAnswer: -32a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -280552*b**2 - 5*b - 8. Let w(i) = i**2 - i. Let q(r) = a(r) - 3*w(r). Let h be q(6). Round h to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -423*m + 23*m**2 + 423*m to the form v*m**2 + l + f*m and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 10. Let u be x(-7). Suppose o = -u, 0 = 4*l - 4*o - 0*o - 20. Suppose 3*v = -3*c - 1 - l, 0 = -4*v - 12. Are 2 and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -148*f + 0 + 118 + 242*f - 130*f. Let r be n(3). What is the greatest common factor of 70 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (306\/(-357))\/((-1)\/((-42)\/(-9))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (sqrt(15)\/sqrt(20) - (sqrt(12) + sqrt(3) + sqrt(3))*-5)) - -5*(2 + sqrt(3)*-1 + -5 + 5).\nAnswer: -87*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -755\/8 (b) -2\/9 (c) 4 (d) 3 (e) 0.2 (f) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1067\/4, -2\/3 in descending order.\nAnswer: 1067\/4, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 4:57 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -193 and 2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 10)*(-c - 6*c + 0*c + (-5 + 1 + 3)*(-3*c + 2*c + 0*c) + 2*c + 4*c - 4*c) - 6 + c + 6 in the form n + l*c and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10930 and 2186000?\nAnswer: 2186000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17204)\/(-120) + 0 + 1. Let q = -289\/2 + h. Let i = -4.6 - 0.4. Put q, i, -4 in decreasing order.\nAnswer: q, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -235.451 to the nearest 10.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3706360 or -3706362?\nAnswer: -3706362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6146818 greater than -6146818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341202 and 26353.\nAnswer: 1387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*h**3*i + 23659*h**3 - 20519*i - 94 wrt h.\nAnswer: -39*h**2*i + 70977*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*n - 86*n + 45*n)*(-n**3 + 0*n**3 + 3*n**3).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4917.\nAnswer: 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-68) - (-812)\/34 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 146 + 1 = 0. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 8*a**2 + 7*a. Let r be c(7). Suppose g + 2*g = r. Suppose 0*n - 3*n - 5*s + 17 = 0, 2*s - 2 = 0. Solve -n = -2*v - g*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x**2 - 52*x - 3. Determine n(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 14 = 3*z - 2*p, 4*p + 22 = 3*z. Find the second derivative of 0*a**2 + a**2 - z*a + 6*a wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.055 (b) -27 (c) 13055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-930)*-3203 - (-73 - -33 - -47) and 2\/155.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvbiwvwjw. Give prob of picking 1 b, 1 v, and 1 i.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**7\/1785 - 37*j**6\/1020 + 7*j**5\/510 + 265*j**4\/204 + 74*j**3\/17 + 6542*j**2. Find g, given that u(g) = 0.\nAnswer: -37, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -417\/5. Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26418 + 26419. What is the closest to 107 in 3, 0.2, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 30, 1, 2\/13, -4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13924756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 0*f**5 + 0*f**5 + (25 - 9*f - 25)*(40*f**4 - 38728 + 38728).\nAnswer: -361*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127 + -119. Differentiate -l - 20 + 16 + 44*p - 9 wrt p.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*v - 3*i + 255718, 5*v = -4*i + 319647. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 107990 = -m, -87550 = 3*m + a - 411555. What is m rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*z**4 - 5*z**2 - z - 705?\nAnswer: -696*z**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 - 456 - (1 - 137) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23646012.\nAnswer: 2, 3, 13, 41, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1268, 2538, 4654, 7616, 11424, 16078?\n\"Answer: 423*t**2 + t + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbbcbbbccbccb. What is prob of picking 4 c?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a0a (base 14) to base 9.\nAnswer: 14885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*o + 8, -3*o + s = 3 + 2. Let v be (-1 - 100\/(-95))*(o + -1). What is the second smallest value in -3, v, 5\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - f - 3*f + 2*f)*(f - 4*f - 2*f) as u*f + l + q*f**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 240 and 122100?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/55103 (b) -2 (c) -21 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58509 + 760633\/13. Factor f*w - 2\/13*w**3 + 0 + 4\/13*w**2.\nAnswer: -2*w*(w - 4)*(w + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19602, -85100, -194268, -347112, -543638?\nAnswer: -783852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/4 or -8?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -172, -135, -98, -61, -24?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 77223?\nAnswer: 386115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000046 rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 l when three letters picked without replacement from llnnnllnllnlllll?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 915 and 13440?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 12) in base 11?\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1312\/349, -2, -3\/4, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.005.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83166 and 2396874?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 9*t - 9. Let r be d(7). Suppose 4*g - 27 = -4*m - 7, 0 = -g + 5. Let z = r + m. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -339.1 + 41.1. Let w = -302 - n. Which is the biggest value? (a) 0 (b) 1 (c) w (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 12 + (-110 - -83)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2212121 + -2112?\nAnswer: -2222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 - -73\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -13\/123511?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3454 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**4\/14 - 2*v**3\/7 - v**2\/7 + 6*v\/7 - 144. Suppose j(b) = 0. What is b?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + m - 3*m)*(-17 + 16 + 31) + (2 - 2 + 2*m)*(2 - 3 + 0) as j + c*m and give c.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 1. Let f = r - -6. Suppose n - f = -n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142511030 rounded to the nearest 1000000?\nAnswer: -143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -570568*o**4 - 9*o + 3721?\nAnswer: -6846816*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 867 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2697 = -25*d - 3772 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 - -261. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*d - 149 - 1279 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/36 + (-11)\/(-3). Calculate the lowest common multiple of 5 and -5*(10\/6 + -2)*g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 1494 = -375*b, 0 = -3*t + 3*b - 2408 + 2414 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4033 - 492. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**2\/3 + 268*w - 11376 = 0.\nAnswer: -237, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13*(3\/(-3) - 10). Let f be 4 + (-100)\/26 - 56\/b. Solve -f*u**2 + 0*u + 6\/11 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 315071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:07 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 12*r**2 + r + 15. Determine f(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g + 89*g + 51*g)*(2 - 2 - g) - 2*g**2 - 2*g**2 + 5*g**2 in the form i + b*g + l*g**2 and give l.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -32. Let r = 39 + w. Suppose -j = k + k - 14, -5*k - r*j = -33. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + u = 4 - 3, -2*d = 4*u + 2. Suppose -z + 5*i - 4 - d = 0, -5*i + 5 = 2*z. Put z, 2, -4 in ascending order.\nAnswer: -4, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 214 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s = 22*s + 6. Suppose 0 = s*u - 5 - 1. Suppose 4*y + r - 197 = y, 4 = u*r. What is the remainder when y is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*c + 66 = -267*c. Suppose z = -0*z + 32. Let s be z\/7 + 24\/(-42). Calculate the highest common divisor of s and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 26. Solve 0 = -4*f - r*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**6\/60 - 7*n**4\/24 + 15*n**3\/2 + 3*n**2 - 5. What is the hundreds digit of l(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1490701, 11925642, 40249045, 95405140, 186338157, 321992326?\n\"Answer: 1490705*k**3 + k**2 + 3*k - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.31 - 0.57. Let p = i + -0.14. Sort 5, -6, p, 0 in decreasing order.\nAnswer: 5, 0, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 424, 1094, 2034, 3244, 4724, 6474?\n\"Answer: 135*i**2 - 5*i - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 24*q + 64. Let d be (0 + 3)\/(36\/((-1476)\/41)). Give z(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**3\/4 - 3*b**2\/2 + 15*b\/4 + 9\/2 = 0. Calculate b.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -196 in -0.4, -0.1, 0.41?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -524 - -1205. Suppose 3*j = -0*j + q. Does 34 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11010?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -2cd?\nAnswer: -2d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10740 - 10733. Suppose -l + 2 + 3 = 0. Solve n + u = l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 810, 1807, 2962, 4287, 5794?\n\"Answer: 2*j**3 + 67*j**2 + 782*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23119*n**2 + n**3 - 2*n + n + n.\nAnswer: n**3 - 23119*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 198.997531 rounded to 0 dps?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + 10*m**2 - 5*m + 15. Give k(11).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 11*o + 17. Let p be q(13). What is the units digit of (6 - 3)*(-69)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/266 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 4764.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48651606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9537, -9524, -9497, -9450, -9377, -9272?\n\"Answer: y**3 + y**2 + 3*y - 9542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/((-4)\/12).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11979 and 4620066?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108.69273 or 2\/21?\nAnswer: -108.69273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-3) + 0 + 1. Let r = -685 + 687. What is the greatest common divisor of u and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + v + 569 = 575, -2*v - 18 = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 + 62 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*b + 9, -3*b - 32 = -0*o - o. Suppose 5*l - 5*d - 30 + 10 = 0, -3*d + 9 = 4*l. Suppose 13 - 67 = -l*a. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -708*j*s*t**2 - j*s - 25821433*j*t + 8822*s*t**2 + 2*s*t + t**2 wrt t?\nAnswer: -1416*j*s + 17644*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5391 divided by 3?\nAnswer: -1797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (504\/(-16))\/(-21)*(-55)\/11*-2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-4)*(-40)\/8.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -12\/5*x**5 + 0*x**3 + 0*x + 0*x**4 - 3*x**2 - 11. Find the second derivative of w(h) wrt h.\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-23 + 52 + -13)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 3. Let s(f) be the first derivative of -f**3\/3 - 1. Let p be s(0). Let w be 0\/((p - -2) + 0). Determine m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-204)\/(-153) + 1\/(-3). Is 31734\/21 - a\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*o - 23 - 35. Solve 3*p - o*b - 9 = 0, 0 = -4*p - 3*b - 1 + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 23.22001 nanograms?\nAnswer: 0.00000002322001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6*r)\/r*((r**(-2)*r)\/r)\/r*r)\/((((r**(-5)*r)\/r)\/r)\/(r\/(r\/r**(2\/13)))) assuming r is positive.\nAnswer: r**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 29*h + 39. Let z be b(-9). Let a be (z\/56 + 3\/(-72))*6. Factor 1 - 4\/3*f + 1\/3*f**a.\nAnswer: (f - 3)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11211 - -223?\nAnswer: -10322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 15*a - 690. What is w(0)?\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -177590 divided by -118?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -6. Suppose w = 5*u - 840, -2*w = -5*u + 3*u + 336. Let j = u - 166. Put j, -1\/7, x in descending order.\nAnswer: x, j, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 4 - 20 - 4*n.\nAnswer: -n - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0139941 - -0.014. What is o rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 + 5*q - 5. Let h(a) = -5*a**2 + 5*a + 1. Let t(j) = 3*j**2 - 2*j - 1. Let g(r) = -h(r) - 2*t(r). What is 4*g(m) + n(m)?\nAnswer: 2*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*o - 3738 - 11612, 15322 = 2*o + 4*a. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -5\/108, 0, -973 in decreasing order.\nAnswer: 0.4, 0, -5\/108, -973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9\/10 of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2 = 10. Solve -u - 1 = -j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 - 0.39. What is b rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-12) - (-28)\/6. Let y(k) = 2*k + 14. Let h be y(-9). Let j be (-1)\/(h\/(-3)) + (-14)\/(-28). Which is the smallest value? (a) l (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3 + 2 + 0 + 0 + (-1 - 2 + 2)*(0 + 3 - 1))*(4*u - 17*u + 6*u)*(-2*u + 2*u - u) + (0 + 1 + 3)*(-u**2 + 4*u**2 - 2*u**2).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 12:09 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3802 - -37919\/10. Calculate the common denominator of v and -39\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*f**3 - 4844622*f**2 + 8*f + 8 - 1 + 4844609*f**2 wrt f?\nAnswer: -360*f - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 10:22 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 374879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 6*k**2 + 18*k - 2. What is m(6)?\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*n - 82 = -22, -2*c - 3*n + 46 = 0. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/40*(22 - 21) + (-1)\/(-8)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53527969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-20)*874\/6. Let q = p + -3011\/28. Which is bigger: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 7375202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -160*-85725\nAnswer: 13716000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2.9. Let j = -41.2 + -155.8. Let l = j - -197.2. Which is the nearest to w? (a) 0.1 (b) -7\/6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 19*k**3 + 48271*k**2 - 24134*k**2 - 24137*k**2 + 15*k**3.\nAnswer: -4*k**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4896744 to the nearest integer?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 398 - 399. What is the nearest to 0.2 in 15, -0.1, 1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 46. Which is the second smallest value? (a) -0.4 (b) 0.4 (c) x (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -13, -17, 3, 1, 10 in descending order.\nAnswer: 10, 3, 1, 0, -13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88680207 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/1 + (-20)\/8*2. Solve m = w - q, -4*q + 0 = -w - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1404 - i**3 + i**2 - 50*i**4 - 1366 + 46*i**4 + 3*i in the form c*i**4 + u*i**3 + h*i + j*i**2 + v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-305) + 17907\/283833\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 4. Let p(v) be the first derivative of -2*v**3 - 3*v**2 - 2*v - 1\/2*v**4 - w. Factor p(t).\nAnswer: -2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15940 and 165580.\nAnswer: 131967260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 3*m**3 - 3*m**3 + m**2 - m**3 as n*m**3 + r + g*m**2 + x*m and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 300\/(-105) + (-2)\/14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2 - 59*g + 38. Let l(i) = -21*i**2 + 119*i - 76. Let z(q) = 9*a(q) + 4*l(q). Is z(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1181 by -1.\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 - 126*g - 10. What is h(11)?\nAnswer: -912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1005 + 1905. Let b = -7510 - -10767. Let n = b - j. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-6\/11)\/v))\/v*v)\/(v\/(v**(6\/7)*v))*v**(-1\/10)\/(v*v**(-4\/7)) assuming v is positive.\nAnswer: v**(2213\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 14 - 12) + (20 - (-4 - -8))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -736 divided by 46.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggaxaxgaggaxxa. Give prob of sequence ag.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583104309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*(-20)\/15*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 13*w - 282. Let b be g(-25). What is the highest common factor of b and 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g. Let y(n) be the third derivative of n**5\/120 - n**3\/6 - 3*n**2. Let t(j) be the first derivative of y(j). Give z(t(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 144 + 16*b**4 + 97 - 16*b**2)*(0 + 1 - 7 + (3 - 3 + 2)*(-1 - 5 + 5)).\nAnswer: -128*b**4 + 128*b**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1107125 divided by 1107125.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -735 - 0.26\nAnswer: -735.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 309*q - 4900. Let y be l(16). Calculate the greatest common divisor of y and 594.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33821*d*p**3*r + 2*d*p**2*r + 42*d*r - 1065*d + 3930*p**3 - 3*p**2*r + 2*p**2 - 183 wrt p.\nAnswer: -202926*d*r + 23580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*t + 4*t. Suppose -o = -t*o + 18. What is the third derivative of -2*j**6 - j**2 - j**6 + j**o wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(2\/31))\/(r**(2\/25)*r))\/(r**(-1\/8)*r\/r**0))**(-1\/68) assuming r is positive.\nAnswer: r**(5521\/421600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**5 - 395*a**4 - 3113*a**3 - 6577*a**2 + 798*a + 9288 = 0.\nAnswer: -387, -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 139, -144, -45, -1 in increasing order.\nAnswer: -144, -45, -3, -1, 1, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20048152?\nAnswer: 2, 83, 109, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276 = 139*o - 253 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6860, -13722, -20588, -27458, -34332, -41210?\n\"Answer: -2*v**2 - 6856*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g - 5*g)*((-g**2 - 7*g**2 - 2*g**2)*(2*g + 1 - 1) - 7*g**3 + 2*g**3 + 2*g**3) - 5*g**4 + 4*g**4 + 2*g**4.\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 2:00 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1070203*i*l*z - 6*i - 4*l*z - 3*l + 30383 wrt z?\nAnswer: 1070203*i*l - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030944105 rounded to 6 decimal places?\nAnswer: 0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.3 + -1.9. Let f = 17 + -16.91. Let n = f + 0.01. Which is the biggest value? (a) -4 (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 11425728 = -11424600 for s.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3\/561524?\nAnswer: 3\/561524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9.7? (a) 3\/8 (b) -1 (c) 1 (d) 0.3 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vubvnnubbunvb. What is prob of sequence bu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -35900 divided by 6\nAnswer: -17950\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-23)\/5 + 8\/(-20). Put -7, 2, i in ascending order.\nAnswer: -7, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**6 + 29*h**6 + 31*h**2 + 12*h**6 - 10*h**6 wrt h.\nAnswer: 4080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16+-73556487572\nAnswer: -73556487572.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uux when three letters picked without replacement from {r: 1, x: 6, u: 5, d: 7}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 427990, 856008, 1284030, 1712056, 2140086?\n\"Answer: 2*r**2 + 428012*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f**2 + f. Let y be a(1). Let v be (-15)\/y*(-4)\/2. Let h be 55\/(-66)*(-1 + -5). Put v, h, 3 in decreasing order.\nAnswer: h, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1014 bigger than -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9524779 - 131.7.\nAnswer: -9524910.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 4*l + 4*l + (-4 + 4 - 2*l)*(-9 - 13 + 2).\nAnswer: 43*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580620627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139 - -82. Let u(q) = -q**3 + 12*q**2 + 18*q - 12. Let a be u(13). Let t = b + a. Let l(g) = g**3 + 3*g**2 - 2*g + 4. Calculate l(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbzekkbrekebbb. Give prob of picking 2 e, 1 k, and 1 b.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 286 + -284. Factor 29*o**2 - 44*o + 13*o**2 + 92*o**u + 247*o**3 - 253*o**3.\nAnswer: -2*o*(o - 22)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -200, 0.3, 5, 65?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -600\nAnswer: 1\/300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 plus -11.84?\nAnswer: -179.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 243337 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 = 4*d - 25, 3*i = d - 10. Let g = -1 - -5. Let z be (-2)\/4 + (-2)\/g. Sort i, 4, z in increasing order.\nAnswer: i, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34577 is divided by 398.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 + 2*o**2 - 2*o + 1. Let i be z(1). Suppose -5*l + 6*j = 3*j - 492, 4*j - 400 = -i*l. Suppose -21 - l = -6*n. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**6)\/r**3*r**(-2\/11)\/((r*r**(-4\/3)*r)\/r))\/((r**2)**(21\/8)*r**(-8)*r**(-1\/4)*r) assuming r is positive.\nAnswer: r**(203\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562369961 divided by 1.\nAnswer: 562369961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148133 is divided by 308?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 - 3.31. What is the smallest value in -2, 1\/3, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2364, -4409, -6298, -7953, -9296, -10249?\n\"Answer: 13*u**3 - 2136*u - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 10. Let z be m(-6). Let b = z + 12. Let f(w) = 7*w. What is the units digit of f(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*88\/110.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/98 and 13\/84.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d, -2*d - 11283 = 3*p - 36186. Let x = -3692 + p. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**3 + 4*u**2 - 4. Determine k(-4).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27709005?\nAnswer: 3, 5, 1847267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 646*0.1\nAnswer: 64.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f + 57*f = 33. What is the closest to 2\/5 in -0.1, -0.06, -1\/4, f?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -96093, -192218, -288353, -384504, -480677, -576878, -673113, -769388?\n\"Answer: -y**3 + y**2 - 96121*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u - 4*r - 29 = 0, 2 = -2*r. Put -1, u, -5, 4 in descending order.\nAnswer: u, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2.1. What is the closest to v in 1\/2, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -325634*b - 3256343. What is z(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3\/992048, 0, 0.5?\nAnswer: -3\/992048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 43*s - 3. Calculate a(43).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2350122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from mawmrmo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 - 19*v**2 - 15*v - 28. Let t be x(-9). Calculate the greatest common divisor of 234 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1683464 + 1683464 + 4*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by 11?\nAnswer: 126\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 47441*b + 7 + 23906*b + 23536*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 4*s + 2*s)*(-2 + 7 - 1) + (2 + 2 - 5)*(-3*s + s + 0*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.07 + 8.1. Sort s, 3\/8, -0.1, 5 in increasing order.\nAnswer: -0.1, s, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 3*a**2 + 0*a - a)*(548850 - 548850 + 3203*a + (-3 + 3 - 1)*(-2*a + 3*a - 2*a) + 2*a - a + 0*a).\nAnswer: 9615*a**3 + 3205*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-35))\/((-12)\/28))\/(6\/195).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.1891 rounded to 1 dp?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f**(-27)*f)*f))**(-1\/11) assuming f is positive.\nAnswer: f**(28\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -69191 (base 16) in base 12?\nAnswer: -189155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-13) - (-2508)\/8151?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 4*n + 11012 - 10982, 0 = 11*n - 4*g - 95 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**4\/8 - n**3\/3 + 5*n**2\/2 + 2. Let f(u) be the second derivative of h(u). What is f(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -28\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25190.\nAnswer: 2, 5, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 25*o**2 - 188*o + 119. Give t(13).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 218097648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((6*(sqrt(95) - 1*sqrt(95)*2))\/(6*sqrt(20)*-6))**2*-6.\nAnswer: 77\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1413683, 1413661, 1413633, 1413599, 1413559?\nAnswer: 1413513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 541868 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -14, 15, -1 in increasing order.\nAnswer: -14, -1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-4 - 5)) + -5 + 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/926094 and 73\/284952?\nAnswer: 3704376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 4774.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*10\/(-5) - 1*304. Is r greater than -308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 1. Suppose -5*o + 2*r = -3, 1 = -2*o + 3*r + 11. Let j(d) = 6 + 10*d - 13*d - 4*d - 2. Give o*j(i) - 5*s(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 148*a**2 - 56*a + 300. Is x(5) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 591, 636, 699, 786, 903?\nAnswer: 1056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.516 - -38.77. What is p rounded to 1 dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -89, -191, -323, -479, -653, -839, -1031?\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32206 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vic when three letters picked without replacement from {q: 1, i: 1, v: 4, x: 2, c: 7}.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460316619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284280 or 284272?\nAnswer: 284272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927376 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123690?\nAnswer: 2, 3, 5, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5222 or 46?\nAnswer: -5222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**3\/6 + 3*d**2 - 11*d. Differentiate b(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -1. Let r = z + 0. Find the second derivative of 7*v**5 + 0*v + v - r*v**5 wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8430 - -8448. Let n = -6 + 8. Solve n*b = -4*b + y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1723, 1746, 1807, 1924, 2115?\nAnswer: 2398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20901 - -21328. What is the remainder when z is divided by 68?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + -1 + (-243)\/(-297). Let k = 9 + -5. What is the second smallest value in a, k, -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - -0.2. Let r = 1.46 + -0.76. Which is bigger: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 0, 2*v + 3*v + 80 = 4*z. Let q = 78 + -363. Let y = q - -290. What is the greatest common divisor of z and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**5 - 35*k**4\/2 - 65*k**3 + 35*k**2 + 200*k + 1552. What is j in t(j) = 0?\nAnswer: -10, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 28 in descending order.\nAnswer: 28, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -280.3 * -25814.\nAnswer: 7235664.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, -39.\nAnswer: -39, -5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*a + 1247 = -2*t, -10*t + 3*a = 10*t + 13*t - 37*t - 2*a - 51 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4934*c**6 - 2*c**4 - 507*c**2 - 3*c + 3 wrt c?\nAnswer: -592080*c**3 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11977*j + 2*j**2 - 12003*j + 35946*j + 0*j**2 - 11966*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 7*n. Let b be v(8). Let u(h) = -5 - 9*h + 5 - 1 - 6. Is u(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/10 and 41\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*k - 471 = 64*k. Is k*((-66)\/(-18) - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + (4 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - (-10 + 27 - 1) - 6?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1700 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(132) - sqrt(132))\/sqrt(12).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0208 times 4\nAnswer: -0.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 95*w - 602. Let a be l(-6). Suppose n = -a*u + 2*n + 21, -5*n = -u + 10. Factor -u*h**2 + 0 - 5*h - 5\/4*h**3.\nAnswer: -5*h*(h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*35\/(-2590)*-37?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1290 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/20 + f**4\/2 + f**3\/3 - 9*f**2\/2 - 12*f. Let q be x(6). What is the highest common factor of 12 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeceecee. What is prob of picking 1 c and 3 e?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(-135) + 185\/(-111)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1505\/42 - (-3)\/18. What is the common denominator of (-2)\/22*71\/(-2) and g\/45 + (-7)\/4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -44. Suppose -w = 4*h + 276. What is the common denominator of (h\/(-30))\/(1\/((-54)\/(-8))) and 61\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11045 - 11045 - 352*t**5 - 3*t**5 + 3*t**5 - 2*t**5 + (1 + 2*t**4 - 1)*(0*t + 5*t - 3*t).\nAnswer: -350*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -21*i**5\/40 - 5*i**4\/8 + i**3\/2 + i + 2. Let w(t) be the first derivative of k(t). Factor w(g).\nAnswer: -3*g*(g + 1)*(7*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 591421100 by 295710550.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 23252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by (-2)\/3*(-37 + (-4)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50 and -95\/13462.\nAnswer: 13462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 34508187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**7\/420 + u**5\/120 + u**3\/6 - 3*u. Let s(r) be the second derivative of b(r). Find the second derivative of s(q) wrt q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 11 - 13 = 0. Let s be (-2 - -1)\/(h\/(-342)*3). What is the second derivative of 3*r**5 + 2*r + s*r + 3*r**5 wrt r?\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 114116 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56 - 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1760\/10)\/(0 - -2). Calculate the greatest common divisor of m and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 7*i - 133. Suppose i - 41 = -f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62058 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*y**4 + 34209*y**3 + 2*y**2 - 410*y + 245 wrt y.\nAnswer: -48*y**2 + 205254*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(363) + sqrt(363)*-4)*-3)**2.\nAnswer: 735075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20376 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3333*0.06.\nAnswer: -0.019998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13 * -47\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*g + 10 + 5 + 67 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 33*p - 416. Give r(32).\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -5*y**4 + 1031000*y**3 - 38142395*y**2 + 461813940*y - 1818357660 = 0.\nAnswer: 9, 14, 206163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.5131, 9, 0.021, 5\/18, 0.3?\nAnswer: 0.5131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 26*j**2 - 15*j + 8. Let w be 2 - (2\/2)\/(1\/(-4)). Let a be l(w). Suppose 5*v - a = -2*p, 0*v + 162 = v - 4*p. What are the prime factors of v?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -10. Suppose n = 4*j + 4, 4*j = 5*d + j - 23. Solve d*g - 3*t + 0*t + 5 = 0, -g - 4*t = -13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60484131886\/3925 + 15409970. Let x = -2\/157 + m. Suppose 2 - 6 = -p. Put -5, p, x in decreasing order.\nAnswer: p, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -814*d**5*k**3 + 146*d*k**3 wrt d?\nAnswer: -16280*d**3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/3)\/((-2)\/33). Let x be t - 2 - (1 - 0) - 2. Suppose z - 3 = 0, -20 = -5*d - 4*z + x. Solve -d*u = -8 - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 3*f + 50 = 2*v, -3*v = 2*f + 31. Let r = v - -2. Let a(d) = -6*d**2 + 4*d + 4. Let t(u) = -7*u**2 + 5*u + 5. Determine r*a(p) + 4*t(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -2681\/529 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 14. Which is the closest to 1? (a) 3\/4 (b) -0.1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -521, -447, -373?\n\"Answer: 74*s - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 565627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/20801 or 1?\nAnswer: 4\/20801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 108 = -0*i - 2*i, -a = i - 30. Let b(m) = 24*m - 1 + 2 + m**2 - a*m - 3. Let w(u) = u**3 - 6*u**2 + 8*u - 9. Let f be w(5). Determine b(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-4)\/(-6) + (-136)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -3\/2149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) -1921972 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + g + 2*g. Let q(y) = y + 7*y + 6*y - 13*y. What is c(q(r))?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72*r**2*u**3 - 991*r**2*u + 17756*r*u**3 + 1398*r*u**2 wrt u.\nAnswer: 432*r**2 + 106536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**3\/6 + 5*j**2 - j. Suppose -5*v + 7*v + 16 = 0. Let w be g(v). Solve -l + w = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let y(h) = -2*h**3 - 2*h**2 + 3*h + 1. Let n(m) = m**2 + 4*m - 42. Let u be n(-9). Let w = 5 - 3. Let g = w + -3. Give g*y(l) + u*s(l).\nAnswer: 2*l**3 + 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7710 is divided by 5922.\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -215613?\nAnswer: 1\/71871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -37?\nAnswer: -29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1326, -1235, -1144, -1053, -962?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**(-7\/2)\/n*n*n)))\/n)**11 assuming n is positive.\nAnswer: n**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 3043782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973970909 to the power of 1\/2, to the nearest integer?\nAnswer: 44429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 174*o - 10432. What is the smallest common multiple of 666 and q(60)?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Let s = z + -5. Let c = 3 + s. Solve -3*t = -c*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -5 - (3 + 0)) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/23307768 and -49\/42730908.\nAnswer: 256385448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9845955 to the power of 1\/2, to the nearest integer?\nAnswer: 3138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5421 is divided by 2116?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38999.5 decades in millennia?\nAnswer: 389.995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264271 is divided by 1861.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1013642 (base 7) to base 4\nAnswer: 131220323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 7*q + 20. What is the units digit of w(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 > -2647127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -43941007 minus 4?\nAnswer: -43941011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + (-2 + (sqrt(325) + 0 - sqrt(325))*4 - (1*sqrt(325) + -2 + 0 + sqrt(325) + -5))*-4)**2.\nAnswer: -1840*sqrt(13) + 21329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/425 (b) 3 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/210*-5*(-152)\/19?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/6*x**2 + 1\/6*x**4 - 10\/3 + 0*x**3 + 6*x.\nAnswer: (x - 2)**2*(x - 1)*(x + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(((-22)\/(-77))\/((-12)\/21)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 143\/192 - -1\/192. Let t = -11 + 9. Let x be 4*(-3)\/18*t. What is the third smallest value in 0, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -291 in 119\/3, -0.02, -7, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/22 + 2294\/4433. Sort z, 2\/7, -10, 1.\nAnswer: -10, z, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337092251.\nAnswer: 257, 1311643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 1677?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 86, 122, 200, 338, 554?\n\"Answer: 3*p**3 + 3*p**2 + 6*p + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*k - 93020 + 94840 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1752142?\nAnswer: 2, 7, 19, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -u**6\/18 - u**5\/15 - 6. Factor w(f).\nAnswer: -f**4*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -683.899 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*d - 8, -d + 10 = -3*d. Let p be (6\/(-4))\/((-1)\/4). Is x\/(0 + 3\/p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n - 75. What is r(-12)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1049538200050 + 0.8.\nAnswer: 1049538200050.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 16*u**2 - 43*u - 185. Is q(22) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 75027.4 + -75025. Let r = -5.7 + -0.3. What is the second smallest value in 3, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -15, -12607 in descending order.\nAnswer: 3, -5, -15, -12607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**2 - 13893*y - 739138 = 0.\nAnswer: -53, 13946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e - 52?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 36 - (5 - (-12)\/(-3)). Let w be ((-7500)\/c)\/((-4)\/(-179200)). Round w to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36958006 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2. Let o(x) = -2*x**2 - x. Let l(a) be the second derivative of -31*a**4\/12 + a**3\/6 - 142*a. Let f(y) = l(y) + 3*o(y). Calculate g(f(d)).\nAnswer: -1369*d**4 - 148*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -306a90 (base 11) to base 8.\nAnswer: -1701640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0167604 rounded to four dps?\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-57))\/((-2)\/(-3))*(-2 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 19 = -54. Let n(b) = -6*b - 18. Let f be n(a). Find the second derivative of 33 + 3*t**4 + 19*t**4 - f*t - 33 wrt t.\nAnswer: 264*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13141645049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 427394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 559 + -429. Let z = -4 + 27. Let o = y - z. What are the prime factors of o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3954007*y**2*z**3 + 33*y*z**3 - 218*y*z**2 - 5*z**3 - 4*z**2 wrt y?\nAnswer: 7908014*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -3)*-3 + ((sqrt(245) - (sqrt(245) + -3 + sqrt(245) + sqrt(245))) + 4 - sqrt(245))**2 + 2 + 5*(2 + 1*sqrt(245) - sqrt(245))**2.\nAnswer: -315*sqrt(5) + 2285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*x + 61 - 19, -3*z + 112 = 2*x. Calculate the highest common factor of 36 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*c - 305*c - 394858 = 8055*c + 248742 for c.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1377) + 0)*2.\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -t**5\/60 - 5*t**4\/12 + 4*t**3\/3 + t**2. Suppose -4*v - 36 = 3*l, -3*v - 7 = -l + 2*v. Is 12 a factor of d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19692 and 7?\nAnswer: 137844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**5 - 290*d**4 + 2195*d**3 + 1210*d**2 - 36400*d + 54880 = 0. Calculate d.\nAnswer: -4, 2, 4, 7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 4*m**2 + 4*m + 2. Let s(j) = -j - 21. Let g be s(-16). Calculate r(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 6*t + 1\/3*t**3 + 45 + 1\/2*t**2. Give o(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/6 (b) -0.3 (c) -1\/4 (d) 0.3 (e) -9\/17 (f) -6 (g) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 715606.2 grams?\nAnswer: 0.7156062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (115\/69)\/(1\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -21*m**2 - 4990*m**3 - 15 + 9950*m**3 - 4959*m**3 + 3*m. Determine t(21).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1233\/15 + 5\/(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + g**2 + 2*g - 1. Let x be c(0). What is the third biggest value in -4, 1\/4, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**2 + a - 14. Let j(n) = 2*n - 1. Let c be j(3). What are the prime factors of o(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514227.2 months in millennia?\nAnswer: 126.1856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 u when three letters picked without replacement from {u: 4, i: 3, v: 10, o: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - z + 8 = -5, 2*z = 5*x - 18. Solve -5*f + x = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10517*m + 10396*m + 242. Factor 66\/7*d + 363\/7 + 3\/7*d**m.\nAnswer: 3*(d + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/360 + 775*d**4\/36 - 600625*d**3\/9 + 4*d**2 + 46*d - 6. Factor t(k).\nAnswer: -(k - 1550)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*d - 2 = 0. Let x be (-4 - 18\/(-4))*(5 - 5). Factor 0 - 1\/9*a**3 - 1\/9*a**d + x*a.\nAnswer: -a**2*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/66 and 28\/55.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -2, 0, -5, -11436, -28 in descending order.\nAnswer: 0, -1, -2, -3, -5, -28, -11436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(2016))\/(sqrt(567) - 5*((sqrt(567) - sqrt(567)*3) + sqrt(567)) - sqrt(567)).\nAnswer: -16*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0*x**7 + 0*x**5 + 0*x**3 + 0 - 7*x**2 + 1\/21*x**8 + 0*x + 1\/4*x**4 + 0*x**6. Find the second derivative of v(n) wrt n.\nAnswer: 320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5446 - -1b?\nAnswer: -5428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (sqrt(110) + (sqrt(110) - (6*(sqrt(110) - (sqrt(110)*-1 - sqrt(110))) + sqrt(110))) + 4*sqrt(110)*1)\/(-5*-1*sqrt(1210))) + -3.\nAnswer: -11 - 26*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 6. Let v(k) = k**3 - 6*k**2 - 5*k - 9. Let f be v(7). Suppose 5 = r + n, -f*r - 2*n = 2*n - 22. Let y be g(r). Solve -y*p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 (base 10) in base 6?\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.133 - -0.533. Let l = 0 + 0. Let t = -2561.5 - -2562. Which is the fourth smallest value? (a) t (b) 1.3 (c) h (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -c + k - 1, -3*c - 4*k = -18. Suppose -a - 5*q = 8, 2*q = -c*a - 0*a. What is the lowest common multiple of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 19. Let a be ((-144)\/2)\/(-3) - p. Let n = 1008 - 956. Calculate the highest common divisor of a and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-18)\/z))**2\/(z**(-5)\/z**(-2\/19)) assuming z is positive.\nAnswer: z**(853\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 4*n + 3*q - 13, -17 = n + 2*q. Is (1638\/(-12) + n)\/(2\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 709.3474584 and -106.\nAnswer: 603.3474584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**6 + 1214*i**5 - 59*i**4 - 1588059*i**2.\nAnswer: 240*i**3 + 72840*i**2 - 1416*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3497010 to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 286, 999, 2188, 3853, 5994, 8611, 11704?\nAnswer: 15273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.668 - 1.758. What is u rounded to 1 dp?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82373, -329490, -741323, -1317866, -2059113?\nAnswer: -2965058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 724143 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 2 = -0*l - l, -v - 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**3 - 257 - 262 + 517.\nAnswer: -14*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*k - 141*k - 131*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/3637, 0.3 in decreasing order.\nAnswer: 0.3, 2\/3637, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, p: 1, k: 1, d: 1, e: 1, c: 1}. What is prob of sequence ydkp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62704 + -43951. What are the prime factors of r?\nAnswer: 3, 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 1233828 = -5*g - 1233808, -3*y + 4*g - 16 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 38*c - 40*c + 22, 3*i + 7 = -5*c. Do c and 2\/115 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 611 + -602. Let b(r) = -r**3 + 8*r**2 - 3*r + 110. Let j be b(m). Solve j*h = 5*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a - 5. Let w(u) be the first derivative of -3*u**2\/2 - 2*u - 3724. What is 4*m(c) - 11*w(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 6. Let n be f(6). Suppose n = 5*u - 2*t + 581, 4*u - t + 4*t = -451. What are the prime factors of u\/(-3) - (-2)\/(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/((-144)\/30))\/(1\/4*-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2 - 1)\/((-4)\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/24 and -33\/1688.\nAnswer: 5064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 8:07 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109672753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 25*p - 11. Suppose -6*q - 22 = 56. Let o be w(q). Factor 0 + 1\/2*y + 1\/2*y**o.\nAnswer: y*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 take away 30188323?\nAnswer: -30188322.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*y - 5 + 4, 5*x = 2*y - 25. Suppose -10*a**3 - 4*a**5 + 15*a**3 + 5*a**2 - y*a**4 - a**5 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 69265 - -6?\nAnswer: 69270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62.94257 litres to millilitres.\nAnswer: 62942.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7195 + 1189 = -14*x. Let o = 810 - x. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 24 + 12 = 0. Suppose 5*k + n = l, 4*k = -3*n + 2*n + 7. Is 11\/7 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 - 3*a + 3. Give c(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191560371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14512494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:46 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 11}. What is prob of sequence jj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1611*x**4 + 3*x**3 + 7985*x**2 + 6*x wrt x.\nAnswer: 38664*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4793618239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + 0.3. Let f = 0.8 - s. Let i = 217 - 217. What is the closest to 1\/2 in 0.1, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 704*f**2 + 4506*f - 9006*f + 4505*f to v*f**2 + t*f + h and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16706*12*(-11)\/(-264) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.008 + -50457713\nAnswer: -50457713.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461195821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61 - -65. Suppose -6*f + 376 = -2*f + 5*r, -2*f = -r - 202. Suppose d - a*d = f. What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1993\/(-8 - (-89)\/11) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (2 + 14 - (11 - 6)) - -13\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2 + 67*h - 55?\nAnswer: -2*h + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**5 - 3*o**5 - 4*o**5 + 0 + 2*o**5 + 0 + (3*o**3 - 4*o**3 + 4*o**3)*(-6*o**2 + 4*o**2 + 3*o**2))*(4 - 3 + 1).\nAnswer: -14*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 73 - 208\/5*j**5 + 65*j**2 + 0*j**4 + 0*j**3 + j. What is the second derivative of r(w) wrt w?\nAnswer: -2496*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 2*b + 2 + 4*b)*(1 + 30 - 7 + (-2 - 3 + 2)*(0 + 0 + 1)) in the form k*b + n and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 59 (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2869*j + 8508*j - 2868*j + 4 + 10*j**3 - 2771*j - 2.\nAnswer: 10*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 3, s: 17}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 263630931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**5 + 1508*f**4\/9 + 3448*f**3\/3 - 23696*f**2\/9 - 640*f = 0.\nAnswer: -8, -2\/9, 0, 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6*n**2 - 16*n - 400. Calculate r(9).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 5. Let m(p) = -2*p + 11. Suppose 8*f - 19 = -75. Let x(i) = f*o(i) + 4*m(i). Calculate the smallest common multiple of x(5) and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/((-1 - -5) + -2). Suppose -12*q + 67 = 19, -3*r = q - 16. Solve 0 = r*l - 8, -h*l + 8 = 2*s + l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**3\/6 - 28*r. Let l(c) = 2*c + 3. Let y(q) = -3*q - 4. Let a(o) = 4*l(o) + 3*y(o). Calculate a(m(p)).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1148\/861*(2 + -1 - 1 - -3). Sort 5, i, -3, 26 in decreasing order.\nAnswer: 26, 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -45001*s**2\/2 - 2*s - 1. Let a = 3 - 5. Let u be v(a). What is u rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(77) + (sqrt(77) - (sqrt(77) - -1*sqrt(77)))))\/(sqrt(70)\/sqrt(160)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -5294, -3, 4, 14.\nAnswer: -5294, -5, -3, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*w + 6 = -0*i, i = -w + 2. Suppose 0*p - p + 21 = i. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.52 - -1.5213. Let b = i - -0.9987. Sort 4.8, 0.3, b in ascending order.\nAnswer: 0.3, b, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 79560?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -164*o**2 + 443*o + 6. What is s(1)?\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3742816 and 31878.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(2\/4*((-1246)\/(-445))\/7)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -20*g**3 + 2 + 36*g**3 - 8*g - 20*g**3. Let s(h) = 5*h**3 + 9*h - 3. Suppose 0 = -0*k - 3*k + 9. What is k*s(b) + 4*m(b)?\nAnswer: -b**3 - 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 123036 divided by -4\nAnswer: -30759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**4 - 3*y**3 - 323980*y**2 - 3232*y - 726?\nAnswer: -24*y**2 - 18*y - 647960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -2) + 7\/(1344\/(-816))\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -8*b**3 + b**2 - 7. Let t be (-4278)\/(-3906) - (-4)\/(-42). Let m(f) = f**3 + 1. Calculate t*h(v) + 6*m(v).\nAnswer: -2*v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 10*z = 15*z + 442, 2*x = 3*z + 222. Suppose x*g = 102*g + 48. Solve 20 = 3*s - g*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -918 + 922. Suppose 0 = -m*o - 5*g - 1 + 18, g = o - 2. Solve -37 = -5*q + o*f, f - 6 = -4*q + 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -2\/97, 2\/3, -0.3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3672 and 2040.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m - 45. Let q(t) = -2*t - 23. Let g(u) = -5*q(u) + 2*y(u). Let b be g(-11). Sort -15, -1, b in increasing order.\nAnswer: -15, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 73?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m = -7530 - 13170. Let h be (9\/(27\/m))\/(2\/(-110000)). Round h to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k + 7124 = 7332 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {u: 1, j: 3, x: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1202*u - 1198*u - 196 + 196.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -19. Let s be (-2)\/((-2)\/b*2). Solve 0 = 4*p - 2*w - 10, s*p = 2*w - 0 + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16359 and 1260.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2 + 25. Let d(m) = -27*m - 9. Let y(i) = -14*i - 4. Let l(p) = j*y(p) - 4*d(p). Suppose -734*t = -731*t + 3. Calculate l(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12971337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -377\/6 or -62?\nAnswer: -377\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0178 + 2.9822. Which is the nearest to -1? (a) 5 (b) n (c) -0.01 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*h - 255333 = -294*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 6*g - 5. Let j = 19 - 28. Let z(c) = c**2 - 5*c + 3. Let u be z(5). Let d = u + j. What is a(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4798570 and -0.4?\nAnswer: 1919428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z + 135. Suppose -114 + 128 = -7*h. Let x be z\/(-18) - h\/4. Solve x*w + 10 - 1 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 106690178 + -0.15\nAnswer: 106690177.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 74 = -l, d + 3*l + 2 - 30 = 0. What is the highest common factor of 175 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18352 + -18350. Solve -t = -l - 4, 8 = 2*t + w*l - 16 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22317.9 + 23365. What is m rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 4*i**2 - 4*i + 3. Suppose 2*u - 3*u + 3 = 0. Let f be t(u). Suppose 3*r - 3 = -3*z - 0, -z - 11 = -5*r. Solve f = r*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 66, 67, 70, 75, 82?\n\"Answer: l**2 - 2*l + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-230\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -561 * 4.\nAnswer: -2244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/383122372 and 81\/22?\nAnswer: 4214346092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 62*h + 1325. Let r be c(-20). What is the highest common divisor of r and 833?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 15*o - 9. Let l be (6\/(-7))\/((-3)\/21). Let b(s) = -s**2 + 7*s - 4. Calculate l*y(a) - 13*b(a).\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -104147700 rounded to the nearest 100000?\nAnswer: -104100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -657*m**2 + 4*m + 425. Let b(y) = 15771*y**2 - 98*y - 10199. Let c(a) = -2*b(a) - 49*q(a). Differentiate c(i) wrt i.\nAnswer: 1302*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(0 - -3) - -82. Suppose 2*s = -b + 224. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1531730.\nAnswer: 2, 5, 47, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vav when three letters picked without replacement from {y: 1, c: 3, v: 4, a: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.027, -3\/20, 5 in ascending order.\nAnswer: -3\/20, -0.027, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*d + 4*d - 4*d + (-3 + 3 + 2*d)*(0 + 2 + 1).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, a: 1, u: 5, s: 4, m: 1}. What is prob of sequence au?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -751.6 - -755.6. Which is the nearest to w? (a) 32\/113 (b) -2\/9 (c) 0.2 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Let m(r) = -2190*r**2 + 10*r**2 + 265*r**2 - 1386*r**2 - 976*r**2. What is d(m(o))?\nAnswer: 36585458*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476907?\nAnswer: 3, 71, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79 * 2.72.\nAnswer: 214.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-135.205.\nAnswer: 135.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/5 + 14*i**2 - 1. Let n(q) = 70*q**2. What is n(m(l))?\nAnswer: 10080*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n**2 - 6 + n**3 - 6 + 2*n + 2. What is the remainder when g(8) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -3)*(-1 - -2). Suppose -2*b - b = l. Solve b = 2*g + 3 + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65360 or -65358?\nAnswer: -65358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t**2. Let a be ((-2)\/3)\/(-65 + 63). Let r(o) be the first derivative of -a*o**3 + 0*o**2 + 2 + 0*o. Calculate r(w(d)).\nAnswer: -81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, -0.05, -4, -2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202102201 - -10202021?\nAnswer: 220011222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 530 divided by 48668\nAnswer: 265\/24334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3 (c) 1\/4 (d) 1\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 8:25 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 651 = -7*a. Suppose -a*q = -37*q + 2178. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3538*-3879.\nAnswer: -1372.3902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = z + 2*o, -6*z + z + 2*o + 6 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13027*s**3 - 13119*s**3 + 26136*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 3:24 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(130) + sqrt(130) + -1*sqrt(130)*-2)\/(sqrt(10) - (2*sqrt(50))\/sqrt(5)))**2.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 610013.95 rounded to the nearest 10000?\nAnswer: 610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 1) + 9 + (-2121)\/301.\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**7)**(-3\/20)\/(f\/(f\/(f*f**(-3))))**(1\/6) assuming f is positive.\nAnswer: f**(37\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/186)\/(-1)*80\/60?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*f + o - 14, 3*f = -5*o + 46. Determine l so that -116*l - 4*l**4 + 2970*l**3 + 120*l**2 - 5955*l**3 - f*l**2 + 40 + 2957*l**3 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t + 31 = 30 - 645 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5233 and 1499903.\nAnswer: 1499902.4767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11024184767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25261 is divided by 128.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0404 - 0.0173. Round q to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5105 by 5.\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 2:54 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 72*m**3 - 6*m**2 + 12*m. Let q(p) = 73*p**3 - 7*p**2 + 14*p. Calculate -6*q(l) + 7*r(l).\nAnswer: 66*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 8*x - 12. Let p(m) = -m**2 - 7*m - 12. Let s(t) = -3*p(t) + 4*y(t). Determine s(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/25)*q\/(q\/(q\/((q**19\/q)\/q))))**28 assuming q is positive.\nAnswer: q**(-10556\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 17696.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/67 in -0.03, 1\/5, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 1232 - 37545 - 27523 = 0. List the prime factors of u.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/1300 and 39\/115.\nAnswer: 29900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**4 - 4. Factor w(n).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/2)\/3)\/(28824\/(-91276)).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of 1\/42*m**4 + 0*m**3 - 9\/7*m**2 - 14*m + 0. Factor p(z).\nAnswer: 2*(z - 3)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8063*z**3 - 8050*z**3 + 24143*z**3 - 8039*z**3.\nAnswer: -9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 714?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, j: 3, m: 3, s: 2, v: 1, k: 7}. What is prob of picking 1 k and 1 v?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 6. Suppose -5*d = -2*d - s. Solve -d*i + 15 = -5*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiwiikkkkiwwiiikwki. Give prob of picking 2 i.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + 11*g**2 - 7*g + 13. Let k be m(5). Let x(p) be the second derivative of -1\/2*p**2 - 1\/3*p**k - 5*p + 0 - 3\/4*p**4. Give x(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 154. Differentiate 35 + t*g - 12 - 48*g + 20 with respect to g.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 198.0479 and 16.42.\nAnswer: 214.4679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 + 14*h**2 + 10*h + 12. Let z = -196 + 191. What are the prime factors of l(z)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -970\/83 - 52031\/498. Let o = -392\/3 - m. What is the common denominator of o and 59\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 709*m - 705*m - 108. Let r be 0\/m*1\/2. Solve 5*z - 34 + 44 = r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, k: 1, x: 1, n: 3, f: 7}. Give prob of picking 1 f, 1 p, 1 n, and 1 k.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -140*u + 17. Let z be q(-2). Let b = -231 + z. What is the remainder when b is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 2)\/((-1)\/2). Let o(w) = -w**3 + 3*w**2 - 2*w**2 + 9*w - 5 + w**2 + 3*w**a. What is the tens digit of o(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -255 - -241 - (-1 + -9 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 65268 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 213 - 7 = -3*h, 3*d + 4*h = -117. Let b = 0 - d. Suppose 28 = 3*k - 4*t, -5*k = -5*t + 3 - b. Solve 4*z - 2*o = -22, k*z = -0*o + 3*o - 23 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 40 = a, -4*a = -0*w + w - 160. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78.3 - -73.3. What is the biggest value in 0.29, 7, x?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -75505 and 398791184.\nAnswer: 398715679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 21 + (256 - (260 + -57))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 2*v + 155 - 99 - v**4 - 149 - 2*v**2 to the form j*v + q*v**3 + p*v**2 + i*v**4 + f and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 4*f + 5 = 0, 3*v + 7 = -5*f + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.5667 to one decimal place.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -2*l - 28 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 57165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*l - 3229*l**2 - 6*l - 348*l**2)*(-2 + 2 - 1) as y*l**2 + n + m*l and give y.\nAnswer: 3577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 = -2*x - 144 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 68?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzzz when four letters picked without replacement from {m: 9, z: 10}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + c - 17. Determine h(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043325126 rounded to 5 decimal places?\nAnswer: -0.04333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332803, 332784, 332763, 332740, 332715, 332688?\nAnswer: 332659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 17260*o + 17265.\nAnswer: -5*(o - 3453)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - 7. Let a be (-80)\/y - 3\/9. Suppose a*j - j = 1284. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33865, 33867, 33871, 33877?\n\"Answer: l**2 - l + 33865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r + 2. Let m(g) = -223 - g - 4*g + 459 - 231. Let t(h) = -m(h) + 2*p(h). Determine t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 541.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**4\/(q*q**(-7)))\/(q*q\/q**(-5)*q**5))**(2\/45))**(-12) assuming q is positive.\nAnswer: q**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + -27. Is h at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by -7?\nAnswer: -160\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x + 18. Let y be m(-4). Let t(o) = 12*o + 8*o**2 - 4*o**y - 2*o**2 - 3*o + 2. Determine t(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -147\/5 + 29. Let j = 0.24 - -0.06. Let i = j - 5.3. Which is the nearest to w? (a) i (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3377359 is divided by 259?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 1 + 4 - 6 + (-2 - 3 + 1 + (-11 - 10 + 5)*(0 + 0 + 2))*(13*a + a - 2*a).\nAnswer: -433*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67636.\nAnswer: 2, 37, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x + 258 - x - 258. Let b(z) = 42*z**2. Give b(a(f)).\nAnswer: 42*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 148663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 851, 0.1, -23, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in -5, 6164, -1\/2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/11, -13\/31, 10.\nAnswer: -13\/31, -2\/11, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**3 - 9*y**2 + 9*y + 9. Let b be 6*((-9)\/6 + 3). Let n(c) = -4*c**3 - 4*c**2 + 4*c + 4. What is b*n(t) - 4*i(t)?\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 3842051633?\nAnswer: 3842051637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 269*q + 27. Determine x(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2. Let b(z) = 16452*z. What is j(b(k))?\nAnswer: 541336608*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6656 and 224?\nAnswer: 46592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 110021211122222102?\nAnswer: -110021211122222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from jjjojojjjjojdoojo.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -16. Let b be (4\/(-5))\/(1\/(-5)). Suppose -l - 18 = -6*l - 2*i, -b*l - 3*i = -13. Calculate the remainder when u is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -50*k**2 - 27*k + 1. Calculate f(-2).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4234652333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72612 - -72614. Factor -4\/7*u + 0*u**g - 2\/7*u**4 + 4\/7*u**3 + 2\/7.\nAnswer: -2*(u - 1)**3*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 - 120 - (1 + 24) - (24 - -1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7\/4, 44, 0.4, -0.5, 0.5.\nAnswer: -7\/4, -0.5, 0, 0.4, 0.5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - f + 529615 = 0, -4*d - 37*f = -35*f - 529618. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (128\/352)\/(4\/44). Let a(d) be the third derivative of -1\/7*d**3 - 1\/35*d**5 + 1\/280*d**6 - 4*d**2 + 5\/56*d**f + 0*d + 0. Let a(w) = 0. What is w?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -492, -1003, -1516, -2031, -2548, -3067?\n\"Answer: -v**2 - 508*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 560306.\nAnswer: 2, 41, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8778053, 17556073, 26334103, 35112149, 43890217, 52668313?\nAnswer: 61446443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lclqqaalqnlapllaqal. What is prob of picking 1 l and 1 p?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 736430712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 4:22 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in -15, 2\/5, 3\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8581*a + 56. Is g(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -7. Let y = b - -20. Is (7\/y)\/((-1)\/(-44)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 30. Let k = 113 + -106. Suppose -4 = k*d - b*d. Solve 0 = t - d*w + 3*w - 1, 0 = 4*w + 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 20 = -4*t + 18, -9 = -t + z. Let i = 641 + -593. Suppose i*h - 9 + 9 = 0. Solve -2*w - t = 4*g - 35, h = 4*w - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 309 = 4*w, 3*t + 1 = 4. Let l = 36 + w. What is the units digit of (-3 - -2)*4 - l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 835 + -13 - (1 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**4\/24 + 5*n**3\/3 - 4*n**2. Let o be s(7). Let c be 550\/15*o\/2. What is the greatest common divisor of 22 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9d1 (base 14) to base 5\nAnswer: -30242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/3)*h)\/(h**6*h))**(-36)\/((h*h**(-1))**(-23)*((h**(-2)\/h)\/h)\/h**(-3)) assuming h is positive.\nAnswer: h**193","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-115 - (-13 + 8 + -32)) + 1 + 5 + 0.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27189812.\nAnswer: 2, 13, 522881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 260526 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36)\/(-16) - (-2)\/(-8). Suppose -3*x = -14 + s. Let l(u) = u - 2. Let w be l(x). Solve w*d = -3 + 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 144\/1368 + (-3094)\/(-570) and -63\/4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -39240599 and -2.47277.\nAnswer: -39240601.47277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -632, -1040, -1448?\n\"Answer: -408*x - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v = -31*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(-8)*v))\/v*v*v**(1\/16))\/((v**2\/v)\/v*v**(-3\/4)))\/((v*v**(-3)*v*v*v**(-8))\/(v**(9\/2)\/v*v**(3\/7))) assuming v is positive.\nAnswer: v**(2323\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20939621453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 79*k + 878. Let w be z(-11). Suppose -2*c - 14*n + 6 = -w*n, -2*c = n - 6. Factor 0 + 4\/9*t**2 - 2\/3*t**c + 2\/9*t**4 + 0*t.\nAnswer: 2*t**2*(t - 2)*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896489 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2085 divide 1657672995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -1387 + 3537. What is the highest common factor of b and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18500 and -206658.778?\nAnswer: 188158.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 + 3*f - 3. Let n(l) = -18*l**2 + 11*l - 11. Let b(x) = -6*n(x) + 22*r(x). Let a(g) = -42*g + 1. What is a(b(c))?\nAnswer: 84*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 19*s**2 - 2*s - 9. What are the prime factors of o(5)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 541.8679 days to microseconds.\nAnswer: 46817386560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2134 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/3)\/q**(2\/13)*q*q\/q**(-5\/8)*q**(-10) assuming q is positive.\nAnswer: q**(-2141\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 5. Let z(a) = -3*a - 6. Let i be z(q). Let u be 1\/(-5) - (-4)\/5. Sort i, u, 5 in increasing order.\nAnswer: i, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 2 (b) -7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 72*o - 75*o - 9 = 0, -5*t - 15 = -3*o. Sort -5, t, 1, 13 in increasing order.\nAnswer: -5, t, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (3\/2 + -1)*-2. Suppose 4*t + 55 = b*h, 2*h - 57 - 13 = -4*t. Calculate the remainder when 49 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7\/2. Let g = 0.028 - -3.972. Put 2\/3, k, g in decreasing order.\nAnswer: g, 2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.368 + -24\nAnswer: -26.368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1268\/793 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -873?\nAnswer: -1\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*r + 4 = 35*r. Solve -l - 3*l = -r*n + 16, -10 = -l - 3*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 594 divided by -22.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11099374919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 3:38 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 124*1 - -3. Suppose i = 4*i - c. Let u be (5\/3)\/(7\/i). What is the highest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2856781*y**4 - 1417977*y - 2 wrt y.\nAnswer: -34281372*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 6) to base 11.\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 2. Let x be i(-3). Let p = -8 - x. Solve -p*w + 10 = -0*w - 5*t, -4*w + 4*t + 16 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 13*j**2 - 31*j + 17. Let f be a(15). Let v(b) = 0*b - b + 0*b. Let r be v(-4). Solve x + 3 = -r*i - 7, -4 = 4*i - f*x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*2*7\/(28\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27 - -0.73. Let v = y + -0.9991. Round v to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1124)\/6)\/((-132)\/198) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 5*c - 22)*(882 + 528 - 11).\nAnswer: -6995*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/42 + 139\/3.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b - 3*b - 9*b**3 + 5*b wrt b.\nAnswer: -54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -6*q**2 + 27 + 0*q - 20*q - 42 + 18. What is the tens digit of d(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5)\/(k*k**(-3)))\/((k*k**(-6))\/(k\/(k\/k**7)*k)) assuming k is positive.\nAnswer: k**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12306 - -22326. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -13072*s + 4052359. Give t(310).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -206*k**3 + 3*k**2 + 42*k**2 + 207*k**3 + 2*k**3 + 3*k**2 - 3*k**2 + (-2*k**2 + 2*k**2 + k**2)*(3*k + 0*k - k) - 2*k + 2*k - k**3.\nAnswer: 4*k**3 + 45*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**3 - j**3 + 4*j**3 + (-3*j**3 + 2*j**3 + 1 - 934*j + 873*j)*(3 - 8 - 27)*(4 - 6 + 0) as o*j**2 + v + n*j + t*j**3 and give t.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2016.5926 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 213, 206, 195, 180, 161, 138, 111?\n\"Answer: -2*l**2 - l + 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 325, 501, 695, 913, 1161?\nAnswer: 1445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 < 922799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.08188cm in millimeters?\nAnswer: 980.8188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-1 - 11)) + (-8 - 9 - -9 - 27)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 2. Suppose m*x - 10 + 0 = 0. Suppose u + 2*t - 21 = 0, 433*t = u + 432*t. Calculate the least common multiple of u and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107565, -865372, -2923679, -6932736, -13542793, -23404100, -37166907, -55481464?\n\"Answer: -108375*n**3 + 818*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w*w\/(w*w*w**(-1\/6)))*w**(-4))**10\/(w**(2\/11)\/w**(-3\/4))**33 assuming w is positive.\nAnswer: w**(-509\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(-6)*x)\/(x\/((x\/x**(-1\/7))\/x)))\/(x\/(x*x*x*x**(-1\/3))*x**5) assuming x is positive.\nAnswer: x**(-151\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 3*v - 4. Let d be g(-5). Let b(l) = 7*l**2 - 13*l - 6. Let h be b(4). What is the greatest common divisor of h and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - (-15 - 5)) + (0 - 2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 13*o**2 - 13*o - 9. Let f be v(14). Solve -f*b - 1858*b**2 + 1853*b**2 - 10 - 10*b = 0 for b.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -1\/2*j**2 + 15 + 20*j. Calculate the remainder when h(8) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 2*g - 24. Let m be 0\/(-7)*1\/4. Let c be s(m). Let t be -9 + (4 - 2) + c\/(-12). Put t, -1, -23 in ascending order.\nAnswer: -23, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 9*c + 4. Let a(w) = 5*w - 1. Let f be a(2). Let j be n(f). Let d = j - -5. What is the greatest common factor of 27 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 7 - -22)*(-9)\/(-12)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5322359 + 2887934 = 37*a - 9753540. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70635.\nAnswer: 3, 5, 17, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120050487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(4*(-4)\/16)\/33?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 3*t + 4*m = 43 - 15, -5*m = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21033351.\nAnswer: 3, 101, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2378, -5522, -10228, -17276, -27446?\n\"Answer: -130*m**3 - m**2 - 2231*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 7:56 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -0.6913.\nAnswer: -3.6913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 0*t**4 - 2*t**4 + (-2*t**4 - t**3 + t**3)*(-2 - 5 + 6) + 84 + 60*t**4 - 175 + 87.\nAnswer: 60*t**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*b + 92, -3*s + 13*b - 276 = 12*b. Put -4, 6, s in increasing order.\nAnswer: s, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 0.2. Let i = -12159424\/81921 - -1\/11703. Let a = 149 + i. What is the closest to -2\/7 in u, 1\/3, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {y: 2, c: 5, r: 13}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -61, -0.4, -0.1, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 13) in base 12?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12757.0025134 - 12757. What is w rounded to 5 dps?\nAnswer: 0.00251","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39 + -665\/17. Suppose 5*z + 1125 = -2*v + 1155, 0 = -2*v + 5*z - 30. What is the nearest to v in 0.5, f, -1\/4, -5\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00066405707 rounded to five decimal places?\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 7*k**2 + 3*k + 9. Let w be y(7). Suppose 25 = -25*g + w*g. Solve 3*h - g = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/120 - w**5\/12 + w**4\/4 - 5*w**3\/6 - 9*w**2. Give y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -11*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9 - (-12 + 15))*(-1)\/20. Let b(v) = v**3 - 2*v**2 - 2*v. Let d be b(3). Let 3\/5 - 3\/5*u**2 + g*u**d - 3\/5*u = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25031902 divided by -14\nAnswer: 1787993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/(-287))\/((-95)\/532) and -65\/6.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58293\/(-171) + -5 + (-2)\/19. Which is the biggest value? (a) 2\/3 (b) x (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**2 - 22*r**2 + 9509*r**3 + 4192*r**3.\nAnswer: 13701*r**3 - 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Let k = 2 + 0. Let p = k + l. Which is the second smallest value? (a) p (b) 2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, n: 3, d: 1, e: 4}. Give prob of picking 1 e and 3 z.\nAnswer: 176\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 2. Let x(f) = 5*f + 2. Let r(l) = -l**3 + 3*l**2 + 4. Let y be r(3). Determine y*c(o) - 3*x(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 404.31417 rounded to one dp?\nAnswer: 404.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 428055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 39*b - 50 = 0. Let n be (b\/(-3))\/((-195)\/(-234)). Solve 2*s + n = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 20?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/20 and -81\/6700610.\nAnswer: 13401220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20600*d**4 + 2152*d - 1 wrt d.\nAnswer: 247200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 95 + -91.7. Let y = -49.7 - b. Let a = -52.6 - y. What is the nearest to -2 in a, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-2162)\/2 - (-3 - -5). Suppose 2*l + 3*z = 6*z + q, 5*l - 2690 = 5*z. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*s - 3 = -q + 1313*s, 3*q = 3*s + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 225585 or 225594?\nAnswer: 225594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-6))\/(((-14980)\/336)\/107)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 9. Suppose 0 = -0*r - r - 4*u, -3*r + 5*u = 0. Suppose 4*o - 16 = -3*y, r*y = 5*o + y - 9. Sort o, -0.5, x in decreasing order.\nAnswer: o, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249657477 to the power of 1\/2, to the nearest integer?\nAnswer: 15801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 0 + 2)*(1 - 1 - t) + 2*t - 4*t + 3*t + (-1 + 5 - 6)*(3*t - 4*t + 9*t).\nAnswer: -27*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 12\/5*-1*(-109 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 3:58 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 9:44 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-70*(-14)\/350)\/(4\/710)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6*(-15)\/2. Let y(w) = w**2 + 6*w + 5. Let p be y(v). What is the closest to p in 4, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-5)\/70)\/(136\/(-1309)).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -11101010011?\nAnswer: -11101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31161, 0, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + t. Let m(w) = 156*w**3 + 4*w**2 - 4*w + 1. Let q(j) = m(j) + 3*p(j). Is q(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 35*q - 2*q**3 - 1 + 31*q + 7*q**2. Suppose 5*n - 3*n - 12 = 0. Let g be l(n). Round g to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472080 is divided by 118016.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a + 4*a + 35 - a. Let f be x(0). Suppose 3*j + 9 = 0, 2*p - f + 4 = 5*j. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14\/177773 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-3 - 2) - (8 - 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27.37 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -93, -207, -367, -573?\n\"Answer: -23*c**2 + c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 76*w - 577. Give i(83).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 4*g + 45. Let t be i(9). Is -1\/57 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11580 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 250*x = -248*x + 12, -1 = x. Let o(s) = s**2 + 12*s + 14. What is o(n)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -252 + 251. Let t = 0 + 0. Sort t, 4, i in descending order.\nAnswer: 4, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k. Let p be o(1). Suppose 12 = -3*m - p*x + 36, 2*m + 4*x = 16. Suppose 39 = h - m. Calculate the remainder when h is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 + 119. Let y(g) = 13*g**2 + 2 - 30*g**2 + g + 18*g**i. Determine y(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24676, 35346, 46016, 56686, 67356, 78026?\nAnswer: 88696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**5\/30 + x**4\/24 - 2*x**3\/3 - 2. Let z(y) be the third derivative of v(y). Find the first derivative of z(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (1750\/(-200))\/((-25)\/40)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5.6. Let m = l + -0.4. Let n = 61\/3 - 21. Is n < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*r*w**2*z**2 + 176*r*w**2*z + 98*r*w**2 - 4*r*w*z + 8*r*w - r*z**2 + 17*z**2 wrt w?\nAnswer: 10*r*z**2 + 352*r*z + 196*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151 - 148. What is the third derivative of -21*q**5 - 18*q**5 + 46*q**v - q**2 + 60*q**5 + 35*q - 20*q**5 wrt q?\nAnswer: 60*q**2 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2603, -3052, -3789, -4814?\n\"Answer: -144*s**2 - 17*s - 2442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91793.\nAnswer: 13, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 6, j: 11}. What is prob of picking 2 y?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - 0.09. Let i = -499421\/3 + 300651121\/1806. Let d = i - -3\/86. Is v > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138388 is divided by 346.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(0*g - g + 2*g) + (-3*g + 6*g - 4*g)*(1 - 1 + 2) - 16*g - 5*g + 19*g to the form a*g + x and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110110 (base 2) in base 11?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 5) in base 15?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 306521690 a multiple of 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3352, -16814, -39254, -70672, -111068, -160442?\n\"Answer: -4489*n**2 + 5*n + 1132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (2 - 6)\/2. Let x = -0.34 - 0.06. What is the nearest to -1\/4 in x, 0.3, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1586 - 811 + 5*p + 104*p**2 - 781 as l*p + r + a*p**2 and give a.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(2\/17))**18 assuming m is positive.\nAnswer: m**(576\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 3*b**2 - 86*b + 1023 + 66*b + 20*b to i*b + m*b**2 + p and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -50. Let u = 44 - 66. Let s be 238\/u + 2\/(-11). Is s > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -235\/63 - -23\/7. Which is smaller: -4 or w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5965205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5758408 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 4. Let n be c(7). Let x be (-1)\/(0 - 1\/n). Suppose -9 = -4*o + x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 101*d + 211039. Is n(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 440410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 - (4 + -4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 8. Calculate i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p - 1. What is n(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:15 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/7)\/k*k*k\/k**(1\/3))\/(k**0)**(-1\/32) assuming k is positive.\nAnswer: k**(8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -61.46 less than 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k - 45221*k**2 + 45221*k**2 - 6*k**3 - 24 to the form t*k + b*k**3 + j*k**2 + a and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (14 + 33 + -11 - 48)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 5*s**2 + 10*s + 15. Calculate l(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfiffflllwi. What is prob of sequence wfi?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y**2 - 2*y - 3. Let c be (3 - -1)\/((-5)\/(-10)). Suppose 5*d - 9*d - c = 0. What is the remainder when 26 is divided by w(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 5 = -4*g. Suppose -o + g*c = -35, -3*o - 2*c + 53 = -2*o. What is the remainder when o is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7585308270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30862273.\nAnswer: 13, 182617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97*m**4 - 29*m**3 - 41*m**2 - 41*m wrt m?\nAnswer: 2328*m - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14061385 (base 9) to base 7.\nAnswer: -113031623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/1*(-27)\/(702\/13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 131 - 9 = -4*b, 3*b + 119 = 2*k. What is the highest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 9 = -2*y, 3*h - 7*y + 3 = -3*y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 56 and -25369431.85.\nAnswer: -25369375.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2214058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -33. Calculate the highest common divisor of 88 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.03863982 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -3. Let u be 1152\/15 + (-2)\/l. Let w = u - 42. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 146\/18 + 126\/(-14) + 4\/18. Which is the nearest to 0? (a) -4 (b) -35 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuuguggguuuuxxgxu. What is prob of sequence xu?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/12 - a**3 - 7*a**2\/2 + 3*a. Let k be d(7). Suppose 5*s - 2 = -5*u + 3, k = 2*s + u + 1. Is s not equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 l, and 1 b when four letters picked without replacement from {b: 1, l: 4, f: 3, v: 6}?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 11*k**2 - 3*k - 39. Let o be x(12). Let t(p) = o*p + 1509*p - 3024*p. Let a(s) = -9*s**2. Give a(t(b)).\nAnswer: -324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 78 = -3*q + 4*v, -3*q + 132 = 3*v. What is the highest common factor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77 + -52?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4056?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 9 = 11*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/(-40) + (-26)\/4. Let v be ((-4)\/(-5))\/(x - -9). Let j be -1 - (0 + 1)\/(-2). Which is the nearest to j? (a) -5 (b) 0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -591 in 3, 5, -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 2. Let v be j(5). Suppose -v*h + 22 = -14. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.853 + -0.363. Let v = 65.49 - g. Let u = 63.9715 - v. What is u rounded to three dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/3839 and -15\/8027.\nAnswer: 88297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 c when four letters picked without replacement from itcaeiieieeitii?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(2\/5)*b\/(b\/(b**(30\/7)\/b)))\/((b**(-22)\/b)\/b**18) assuming b is positive.\nAnswer: b**(1634\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a millennium in years?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 957 - 953. Determine c, given that 0*c**2 + 0 - 2\/7*c**3 + 0*c - 6\/7*c**u - 4\/7*c**5 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352523 is divided by 15928.\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -2)\/(-2) + 2. Let l(w) be the first derivative of w**3\/3 + 15*w**2\/2 - 14*w + 6. Let i be l(-16). Is k smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-300)\/250*(-10)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 + 38 - 84 + 46.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5 - 29. Let b = t - -5. Suppose 2*x + 0*q - 22 = -4*q, x - q - b = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58 + -60 - (-5490)\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.129 + 0.129. Let a = -9 + 11. Sort a, -4, h.\nAnswer: h, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -137, -1\/6, 4\/105, 59 in descending order.\nAnswer: 59, 4\/105, -1\/6, -5, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 (base 7) in base 9?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26148009?\nAnswer: 3, 19, 631, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 36, 3, 27 in decreasing order.\nAnswer: 36, 27, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = b + 109 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5014211 (base 6) to base 10\nAnswer: 235519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -23*s**2 - s. What is m(1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 3*v**2 - 8*v - 2. Differentiate i(p) with respect to p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 748*p + 120424. Determine g(-161).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 47\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 8*p - 4. Let u = 135 + -131. Let q be (u\/2)\/(8*(-3)\/(-48)). What is i(q)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)*-1)\/sqrt(4) - (sqrt(13) + -1 + 1).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/4048 and -47\/20240?\nAnswer: 20240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.1, -2, 24 in increasing order.\nAnswer: -3, -2, 0.1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**3 + 35*c**2 + 17*c + 30. Let x be (-1 + 35\/21)*(22 + 10\/2). Calculate h(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.13 + -2.13. Sort 0, 1, f.\nAnswer: f, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/7 and (-2708)\/(-224) - (-6)\/21.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k**3 + 3*k**2 - 3*k + 9. Let d(p) = 3*p**3 + 3*p**2 - 2*p + 8. What is -5*d(j) + 4*x(j)?\nAnswer: j**3 - 3*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*q + 85*q + 80*q + 84*q.\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -261492975618 and 0?\nAnswer: 261492975618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3 = -4*v, 4*v - j - 12 = 3*j for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = -29. Let c = g - -14. Let y be c*(1 - (3 - 1)). Solve 0 = -h - y*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o. Let f(s) = 663*s - 3. Give k(f(j)).\nAnswer: -5304*j + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/21)\/(((-6)\/12348*-63)\/((-6)\/32)).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 0*h**2 - 4*h**2 + 354*h.\nAnswer: -2*h**2 + 354*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + (sqrt(700) + 1*sqrt(700) + 0 - sqrt(700)) - (-1*sqrt(42)*4)\/sqrt(6).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 163*a**4*o**2 + a**4*o - 2*a**3*o**2 + a**2*o**2 + 3*a*o**2 - 47*a wrt a?\nAnswer: 3912*a*o**2 + 24*a*o - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + -6 + 4 + 34689996. What is g rounded to the nearest one million?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**5\/10 + 5*h**2 + 45. Let a(t) be the second derivative of v(t). Let o(p) = -3*p**2. Calculate a(o(y)).\nAnswer: 54*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -123 - 402. Let j = -257 - s. List the prime factors of j.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -93*j + 74*j + 7 + 18*j. Calculate q(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212 - -236. What is the greatest common factor of w and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202020 + 11121212220?\nAnswer: 11200122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 4*y**2 + 8. Calculate the smallest common multiple of x(4) and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -0.079, -0.22, -1, -4, -0.9?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315682 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/9))**(4\/19))**(-14\/11) assuming q is positive.\nAnswer: q**(-560\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.3977ml in litres?\nAnswer: 0.0323977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 35. Sort 1, -0.2, -3\/7, d in decreasing order.\nAnswer: 1, d, -0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1038.\nAnswer: 311.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -81 - -89. Suppose 2*a = -4*j + 26, 2 + w = 2*j. Suppose 2*p + 3*i - 23 = -2*p, -2*p = -4*i + 16. Solve 0 = -5*y + r - 13, 3*r = -a*y + 1 + p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 22*u = 23*u - 385, m - 4*u - 98 = 0. What is the lowest common multiple of 413 and m?\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806 divided by -106?\nAnswer: -1903\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 2 k when four letters picked without replacement from {i: 4, p: 1, b: 4, u: 1, k: 2, q: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007189 to six decimal places.\nAnswer: -0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3774 divided by 17?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -355, -708, -1061?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -4 (c) -115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1, -1\/8 in ascending order.\nAnswer: -1, -1\/8, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/6*((-2)\/(-8) - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4 + sqrt(832) - sqrt(832))**2*-3*4 - -4*(4 + sqrt(832))*4).\nAnswer: -384 + 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)*1)\/sqrt(7) - sqrt(49) - sqrt(49))\/((sqrt(105)\/sqrt(5))\/sqrt(3)) - (4 + 2 + sqrt(700))*3.\nAnswer: -31*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(0 + 2*k + 0) - 3 - k + 3 + (-3 + 5 + 1)*(-4 + 2*k + 4) + 154*k + 154*k - 314*k)*(-1 + 8 - 1).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 2. Let a be c(-6). Suppose -a + 2 = -p. Suppose p*x - 3*l = 10, 2*x + 3*x - 25 = -2*l. What is the greatest common factor of x and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 3, t: 2, j: 3, k: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) 0 (c) 32234 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -41. Let c = -30 + f. Factor 2\/3*z**5 + 0*z**3 + c + 0*z**2 - 1\/3*z**4 + 0*z.\nAnswer: z**4*(2*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*x - x. Let k(f) be the third derivative of f**5\/60 + 7*f**4\/24 + f**3\/2 - 7*f**2. Let q be k(x). Which is greater: q or -9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 0*k - 49 - 1\/7*k**3 - 3\/28*k**4 + 0*k**2. Let b(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zssyspssppbys. Give prob of picking 3 s and 1 b.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 857679 - 29*k**2 - 857679.\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Let h = 7 - 6.99994. Let b = h - y. Round b to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(192) + 0)**2.\nAnswer: -64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a + 3. Let t be 38\/(-8) - a\/(-4). Let h = -5 - -8. Sort t, h, 4 in decreasing order.\nAnswer: 4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**6\/6 - 2*s**5\/5 + 2*s**3\/3 - s**2\/2 - 10. Find a such that h(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g. Let o(n) = 116*n**2 - 2*n + 18043. Give v(o(p)).\nAnswer: 116*p**2 - 2*p + 18043","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 64*j**2 - 13*j + 31. Is y(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -0.08 (c) -2\/9 (d) -4 (e) 23 (f) 1658\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 512008700 to the nearest 1000000.\nAnswer: 512000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 + 102381869*v**2\/3 - 204763735*v\/3 + 34127289.\nAnswer: -(v - 102381867)*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*u + 271 + 863. Suppose -s = 8*b - 3*b - 794, -2*s + 1536 = -3*b. What is the greatest common factor of s and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795521.\nAnswer: 379, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 1. Let o(l) = 4*l - 2. Let b(v) = 2*v - 1. Let x(n) = 13*b(n) - 6*o(n). Let a(f) = -f**2 - f + 2. Let z be a(-3). Determine z*j(c) + 3*x(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29472?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210000 (base 3) to base 13.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1094, -1081, -1078, -1091, -1126?\nAnswer: -1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*n - 124*n + 16 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*c + 640 = 0, 4*f - 3*c = f + 615. What is the smallest common multiple of f and 2?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/3 (b) -5 (c) 1\/3 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 6855708*l + 3916727681772 = 0. Calculate l.\nAnswer: 1142618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7360 and 2207540.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 372*u**2 + 3877*u + 1563. Give b(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**9\/60480 + v**8\/4032 - v**7\/2520 - v**6\/240 + v**5\/30 + v**2. Let h(s) be the third derivative of y(s). Give h(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8207 + 8211. Let n(i) be the first derivative of 0*i**3 - 13 + 0*i + 6*i**2 + 11\/4*i**s. Find the second derivative of n(f) wrt f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 598 + -2391\/4. Which is smaller: s or -629?\nAnswer: -629","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2 - 1405*r + 33. Calculate z(201).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121*p**4 + 11*p - 231*p**4 - 7*p**2 + 114*p**4 + 5*p**2 to i*p + d*p**3 + k*p**4 + b + j*p**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2570694485 to the nearest integer?\nAnswer: 50702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/5 + 1036551*y**2\/5 + 53722002435*y + 53721795125 = 0. Calculate y.\nAnswer: -518275, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 269267228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1937120.\nAnswer: 2, 5, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 12 = -12*g. Let l(o) = -2*o**2 - 8. Let p(y) = 0 - 3 + 2. What is g*l(b) - 8*p(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 8. Suppose 5*q - 8 + 108 = 0. Let s = -19 + -1. Let r = s - q. Determine f(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d = 41*d - 488. Suppose 0 = 8*u - 11*u + 54. What is the remainder when d is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/3))**(-2\/27))**(-40))**(-31) assuming y is positive.\nAnswer: y**(-2480\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -4. Let j = 3.9 + -4. Which is the second smallest value? (a) t (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-124)\/6)\/((-6)\/18). Suppose u = -5*t + 292. Calculate the remainder when t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 37, -10, 0.2, 0, -0.5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 4*t. Let d be c(3). Let b(x) = -2*x**3 - 8*x**2 - 4*x - 7. Let s(q) = -q**3 - 7*q**2 - 3*q - 7. Let u(n) = d*s(n) + 2*b(n). Give u(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 22*n + 64. Let g be o(-3). Sort -8, 1, 0, g in descending order.\nAnswer: 1, 0, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.12 times 3.6?\nAnswer: -14.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b = 4*i + 68, 0 = -4*i + 5*b - 64. Let p = i - -25. Calculate the greatest common divisor of 28 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t - t + 44 = -t. Factor 800\/7 + 2\/7*z**t - 80\/7*z.\nAnswer: 2*(z - 20)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w**3 - w**2 + 3*w. Let u(a) = 24*a**3 - 4*a**2 + 11*a. Calculate 22*f(k) - 6*u(k).\nAnswer: -12*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4+-563654735\nAnswer: -563654739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10*11\/(44\/(-240)). Let u = -44 + f. Let t = u + 124. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 + 0.1. Let r = 196 + -195. Which is the nearest to r? (a) n (b) -2 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 45?\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -32. Suppose 0 = 2*x - 7*x + o, -f + 8 = -x. What is the least common multiple of 8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 5, 4, 0.2, 0.5, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.55750454 rounded to 1 decimal place?\nAnswer: -41.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (6 - (3 - -21 - 9)) + -68?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -n - 2*p + 2, -3*n = 4*p - 16. Let r(y) = 8*y**2 - 4*y - 4. Let a(q) = 9*q**2 - 5*q - 5. Give n*a(k) - 5*r(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110673\/8 - 126799\/8. Let l = -1997 - x. Calculate the common denominator of l and (-2 - 32\/(-14))\/(2\/58).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-189) + 328\/84?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(4\/3))\/a)**4 assuming a is positive.\nAnswer: a**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -20*b - 33 - 19*b**2 + 35 + 0*b**3 + b**3. Let f be p(20). Factor 24*k**4 + 4*k - 9*k**f - 23*k**3 + 5*k**2 + 36*k**5 - 12*k**4.\nAnswer: k*(2*k - 1)**2*(3*k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/3 - 334*r\/3 = 0 for r.\nAnswer: 0, 334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 6. Let l be -1 + (2\/x - 171\/(-45)). Let q(n) = -n**3 - 7*n**2 - 7. Let s be q(-7). Put 0, s, l in descending order.\nAnswer: l, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 24989300*s**2 + 31223405659760*s + 374677269466560.\nAnswer: 5*(s + 12)*(s + 2498924)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) 1 (c) -44 (d) -157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4\/5)*(s**(-5\/8)\/s)\/s*(s**20)**(-29) assuming s is positive.\nAnswer: s**(-23337\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(275) + sqrt(275) - sqrt(275))**2.\nAnswer: 70*sqrt(11) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104378 divided by -1?\nAnswer: -104378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/4 - -3)\/(-269 + 14). Is k <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 1:40 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -11. Let a = 11 - 15. Let m = a - -6. What is the second biggest value in r, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 265250, -5, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 36. Which is the closest to -1\/3? (a) -4 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j - 3. Let x be o(4). Let s be ((-93)\/x)\/(2\/6). Round s to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20764, 2\/13, 0 in ascending order.\nAnswer: 0, 2\/13, 20764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -17, -8, -7 in increasing order.\nAnswer: -17, -8, -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 1:05 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10443*f**5\/5 + 16638*f**4 - 2829*f**3\/5 + 24*f**2\/5 = 0. Calculate f.\nAnswer: -8, 0, 1\/59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34 - -7?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2905*0.2673\nAnswer: -0.07765065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*u - 814 - 3513 - 1160 = 0 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11442*v**2 - 5672*v**2 - 5656*v**2.\nAnswer: 114*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*w + 177 - 51 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1061449071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = 13*y - 15*y, -12 = 5*f - 2*y. Which is the second smallest value? (a) 0.17 (b) -1\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*b. Suppose 26 = z - b. Calculate the smallest common multiple of z and 6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from mmzmummmujummuufmfu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/208 and 1725\/(-720) + (-3)\/(-18).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276\/18*114\/1178*31?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842 = 8*x + 178. What is the second derivative of 13*c + 46 - 14*c - 83*c**2 + c**5 + x*c**2 wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 3*z - 1628. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-5)\/3) + (-150)\/(-18). Suppose 0*z = -2*z + y. What is the derivative of -53 - 23*v**z + 9 + 28 wrt v?\nAnswer: -92*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 2\/5, -15?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 0) + 4\/(-1). Let t = w - -6. Suppose k = 0, t*j = 4*k - 4 + 70. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*g**3 - g**2 + 0*g**3 - 119*g + 119*g + g**2.\nAnswer: -71*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 24. Let s(y) = -y**3 + 6*y**2 - 6*y + 5. Let j(r) = -r**3 + 17*r**2 - 17*r + 14. Let m(l) = 6*j(l) - 17*s(l). Calculate m(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**3 - 16*k**2 - 8*k - 15. Let z(a) = 2*a**3 + 2*a**2 + a - 1. Determine h(u) + 8*z(u).\nAnswer: 8*u**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436 (base 7) to base 9.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -22 - 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*t - 1495 = 0, 8*t - 10*t - 10 = 0. What are the prime factors of v?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-66)\/(-162)*(-4)\/(-8).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2662 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(-3))**2)**(-11) assuming i is positive.\nAnswer: i**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 36611, 36613, 36615, 36617, 36619?\n\"Answer: 2*d + 36609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z - 13 = -188. Which is the third biggest value? (a) 2\/5 (b) 147 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-11)*(-3)\/(-72)*-2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*h. Suppose -5 = -2*d + t + 6, -d + 5*t + 28 = h. Suppose o = 3*b - 1, b = d*o + 3*b - 52. What is the greatest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -466 - -477. Let i(p) = -p**3 - 6*p**2 - 7*p + 1. Let x(k) = 7*k**3 + 2*k**2 + k. Let c be x(-1). What is the remainder when i(c) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620 and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7439227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/3 - 6\/(6 + 12). Calculate the remainder when 120 is divided by 10\/(-4) - (h + (-355)\/10).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(-6*(-7)\/84).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 63*g - 852 = 0. Is -7 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -240 (b) 7 (c) -1 (d) 3 (e) -2\/13 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.013 + 0.046. Let n = 0.02 - f. Let j = 0.647 - n. Round j to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooto. Give prob of picking 3 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3*t**2*x**2 + q**3*t**2 - 8*q**3*t*x - 2*q**3*t - q**3*x**2 + q**2*t**2*x - 45*q*x**2 wrt x?\nAnswer: -4*q**3*t**2 - 2*q**3 - 90*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 120094853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8785 and 98861119?\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 296\/(-36) + 8 + (-8)\/(-9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*l - 13 - 1 - 36 - 2 wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) + 1*sqrt(204))*-6 + sqrt(204) + (sqrt(204) + sqrt(204)*-4)*5)\/(-3*-2*sqrt(972)*3))**2.\nAnswer: 2873\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 91476 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 31 + 6*d - 12 - 21.\nAnswer: 14*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/80484460 and -73\/2890?\nAnswer: 1368235820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 956299407*z**2. Let g(w) = w. Give g(l(i)).\nAnswer: 956299407*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16\/2027 - -180083\/40540. Let q = d + 93\/10. Find the common denominator of q and -73\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 16*l - w + 80, -80 = -2*l + 2*w. Put -2, l, 3 in decreasing order.\nAnswer: l, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2321 - 3?\nAnswer: -2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428078 is divided by 105?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 23. Let q(x) be the third derivative of x**4\/24 + x**3\/6 + 2*x**2. Let l be q(k). Which is the closest to -0.2? (a) l (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*d - 5. Let i = d - 2. Find the second derivative of -i*p + 2*p - 4*p**5 + p wrt p.\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w = 155*w - 4375 + 1705 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.283240627 rounded to 2 decimal places?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/3 - 11114*u**3\/3 + 718312*u**2\/3 - 467762*u + 232029 = 0. Calculate u.\nAnswer: 1, 63, 11049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59408776 to the nearest integer?\nAnswer: 7708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.5 (b) -0.04 (c) -2\/13 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 + 1 - 1 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 4301, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10472 and 5511128.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35 + 35 - 49*c**3)*(2*c + c - 2*c) in the form d*c**3 + r*c + w*c**2 + t + z*c**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p + 13561741 - 4*p - 13561745.\nAnswer: -11*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (4 - -1 - 12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16922128339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(120) + (sqrt(120) - (1*sqrt(120) - sqrt(120))))*-4)\/sqrt(4))\/(2*-6*sqrt(36)\/sqrt(6)))**2*-3.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30494?\nAnswer: 2, 79, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -2, -6, 12, -1, 2, 6.\nAnswer: -6, -2, -1, 2, 6, 12, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 660 = g. Is 9 a factor of 5\/((-80)\/g)*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 3364947222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 3}. What is prob of picking 2 r and 1 i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 404, 612, 838, 1082, 1344, 1624, 1922?\n\"Answer: 9*v**2 + 181*v + 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4821 + -0.0179. Let b = -8.1 - -9. Let y = 1.3 - b. What is the closest to -1 in j, y, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3297*n**2 - 2*n + 6700*n**2 + 1 + 6165*n**2.\nAnswer: 9568*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 9) in base 16?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/19 + 16528232*r\/19 = 0.\nAnswer: -8264116, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 1:41 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) 0 (c) -4 (d) -0.7 (e) 4 (f) 0.226\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 139374.58013 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/7 (c) 1\/13 (d) -0.28 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 f when four letters picked without replacement from eqffqqfq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 29*o**2 + 36*o - 1057. Give q(29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 213052 + -11355?\nAnswer: 201253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3201364 or -3201363?\nAnswer: -3201364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000386866776 to six decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8090*m**2 - 52*m + 2635255 wrt m.\nAnswer: -16180*m - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r. Let q(s) = 7*s + 3. Determine h(q(t)).\nAnswer: -28*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -37.9. Let z = -0.06 + 2.06. Let y = -1.6 + z. What is the closest to a in 0.3, -1, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 13*q**2 + 1154*q - 396. Determine o(41).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36811297?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**1)**(-4\/5)\/(d\/d**(2\/7))**(-9\/11))**50 assuming d is positive.\nAnswer: d**(2250\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z + 2*z. Solve -2*f = -z + 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j. Let x(r) = -56458*r. Calculate x(h(k)).\nAnswer: -169374*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*((-3)\/2 - -1). Put c, 8, -2 in descending order.\nAnswer: 8, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in -3\/14, -759, 1\/10?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(80) - -1*sqrt(80)) + 0.\nAnswer: 3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 67 - 2*v + v**2 + 8*v - 69. Calculate i(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(1792\/480) + (32 - 0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5450286 + 0.5461. What is q rounded to 5 dps?\nAnswer: 0.00107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2 - 185359662*a - 2863183691396187 = 0. What is a?\nAnswer: -30893277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.4 - -1.4. Let b = t - -7. Sort -3, 5, b in descending order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 594185415 to the nearest integer?\nAnswer: 24376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**7\/280 - 5*d**4\/24 + 2*d**3 + 4. Let y(f) be the third derivative of i(f). Differentiate y(z) with respect to z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -201490164.\nAnswer: -5\/201490164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (6 + -5 + -3 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4\/4 - 7*o**3\/3 + 7*o**2\/2 + o + 6. Suppose 0 = -5*p - 76 - 14. Let l be -8 - -6 - p\/(-3). What is d(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 1493654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-8) + -1)*(2 + -10). Let w be 6*1\/p*8\/68. Which is the third biggest value? (a) -5 (b) -3\/2 (c) w (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**6\/6 - 7*g**5\/5 - 11*g**4\/4 + 7*g**3\/3 + 6*g**2 + 907. Let c(z) = 0. Calculate z.\nAnswer: -4, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(10\/(-5))\/((-12)\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 * -0.0139.\nAnswer: -0.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0 (c) 3\/7 (d) -179257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 5*s + 0*s + (-2 - 4 + 4)*(s + 3 - 3) + 5*s - 2*s - 2*s)*(s - 2*s + 0*s).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10087\/3, 0.1 in increasing order.\nAnswer: -5, 0.1, 10087\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/4 - 118*n**2 - n + 10. Let k(x) be the first derivative of u(x). Let q(y) = -3*y + 2*y - y. What is q(k(a))?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -31*k - 3. Let x = -20 + 19. Let q be b(x). What is the remainder when -15*(q\/12 + -4) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 12:53 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 6. Let g = 12 - w. What is the greatest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 47 + -36 + -46?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w. Let c be (-1)\/(0 - (-1)\/(-2)). Let d(g) = -4*g**2 + 2*g**2 + 8*g**c. Give y(d(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 - 0.5. Let a = 20 - 19.6. What is the biggest value in a, f, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173675614007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 13*k - 12*k. Suppose 0 = 3*s - 103 + 16. Calculate the remainder when k is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26516.493 milliseconds to hours.\nAnswer: 0.0073656925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3718975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 0*y + 0*y - y + 3 - y. Let t(b) = 10*b - 14. Let c(h) = -11*f(h) - 2*t(h). Let d be c(5). Solve 2*o - 10 = -4*w, 0 - 10 = -d*w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 95, 107, 127, 155, 191?\n\"Answer: 4*f**2 + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsa when three letters picked without replacement from {a: 1, y: 2, m: 1, s: 1, d: 6, l: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 - 37. Suppose m = 5*s + 12 - 27. Suppose 0 = s*r - 2*i - 3*i - 63, 2*i + 54 = 3*r. What is the highest common factor of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011 (base 2) to base 10.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2121 and 109.\nAnswer: 231189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdjcjfc. Give prob of sequence jjfc.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 340866144*y - 29047432031357184.\nAnswer: -(y + 170433072)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1522162, -3044324, -4566486, -6088648, -7610810, -9132972?\n\"Answer: -1522162*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 36459872 divided by -18229936\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (3 + -2)\/1. Let f be 27\/36*(1 - -3). Find the third derivative of -f*s**3 + q*s**3 + 0*s**3 + 0*s**3 + s**2 wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86334869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26182 divided by -53.\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 5*o + 2*k, 2*o + 3*k - 13 = 0. Solve 5*g + o*w = 35, 3*w + 15 = 2*g + 4*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + i**2 + 19. Calculate the remainder when 2 + -7 + 75 - -5 is divided by b(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -2219.\nAnswer: 5\/2219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {b: 6, d: 4, p: 1, t: 3, o: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641548.\nAnswer: 2, 160387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(-1 + (-21)\/1). Suppose 5*y = m + s, -m - m + 2 = 2*y. Let t be (4 + -5 + y)\/(3\/6). Let i(d) = 2*d**3 - 4*d**2 + 3*d - 1. Calculate i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 8. Let c be 36\/8*n\/6. Let i = 13 + c. What is the greatest common divisor of 80 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 0*z**3 + z**3)*(57 + 20*z**2 - 57)*(-82 + 15 - 27).\nAnswer: -1880*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2938, -5884, -8832, -11782, -14734, -17688?\nAnswer: -20644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**3 - 2*r - 4. Calculate c(2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34403 + 6*b - 3*b + 34406 + (-2*b + 2*b + b)*(3 - 1 - 3) to f*b + c and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 25 = 21. Let u = -656 + b. What is u rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1. Let m(i) = -15*i**2 + 16*i + 6. Let h(u) = -m(u) + 6*n(u). Find the second derivative of h(t) wrt t.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-608)\/(-48))\/((-4)\/6). Calculate the common denominator of (-1)\/22*(-128 - b) and 81\/58.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:40 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1013.1 + -1011.4. Put t, 1\/2, 1, -37 in descending order.\nAnswer: t, 1, 1\/2, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - j - 5*z + 10 = 110, 59*z + 143 = -2*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1515489121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 9. Suppose 2 - p = 2*b. What is the common denominator of 13\/10 and ((-143)\/44)\/(b\/2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 115053423?\nAnswer: 115053430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1012 and 71093.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051.8 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*q + 9 = 363*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 0*w**2 + 2*w**2 + 2 + 3 + 3*w**2 - 3 + (-2*w + 2*w + 2*w)*(-5*w + w + 3*w) + 3 - 3 - 2*w**2.\nAnswer: w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3549.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0069971514 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -26, -4, -7 in ascending order.\nAnswer: -26, -7, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*a + 2*a**2 + 2*a**2 - 6*a**2)*(a**2 + 4*a**2 + 6*a**2 - a**2 + 0*a**2 + 0*a**2 + (a + 1 - 1)*(-2*a - a + 2*a)).\nAnswer: -18*a**4 - 270*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 89478 times 125\nAnswer: 11184750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 585085535 to the nearest integer?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, -0.2, 0.06, -205\/12?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 3 + 3)*(3 + y - 3) + y + 2 - 2 + 6*y - 4*y + 2*y)*(0 + 5 - 2) in the form p + n*y and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 68 and -22408.\nAnswer: -1523744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7774877 is divided by 191?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69452057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11515 - 11514.8. Which is the smallest value? (a) v (b) -3 (c) 5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1392881224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1856*l**4*n + 11*l**3*n + l*n - 472*n - 35 wrt l.\nAnswer: 22272*l**2*n + 66*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*a - 5. Suppose -c = -6*c + 25. Calculate the least common multiple of -5 + 4 - -8 - a and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 990\/(-6600) - (-23)\/420?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**3)**(-11)*((b**(-7)*b)\/b)\/(b**(1\/21)\/b))**(4\/3) assuming b is positive.\nAnswer: b**(1340\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101100011000 - 100111111?\nAnswer: -10110001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzozzzozzzzzzzzzzz.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 58.49692 days?\nAnswer: 5054133.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94435951.\nAnswer: 31, 37, 281, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-3)\/(-120))\/(90\/75)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -27. Suppose 3*h = 6*h - 24. What is the greatest common divisor of a and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxxf when four letters picked without replacement from {f: 4, x: 7}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 336 + -330. Suppose 2*b - r*b = -20, -4*v + 4*b - 8 = 0. Solve 4*i = -v*q + 2, -q + 2*i - 4 = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.39 + 17579105.\nAnswer: 17579104.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 64. Suppose 0 = -4*i + 100. Calculate the greatest common factor of z and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/18167 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.5450158 and 4?\nAnswer: 6.1800632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**3 - 18 - 3*v - 3\/2*v**2. Let n(f) = -f**2 + 6*f - 2. Let c be n(6). Determine s(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19795.2 - 19789.2. Let j = 2 - 1. Suppose 4*x - 10 = 2*x. What is the closest to j in x, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*a - 43*a + 26 = -4*y, 7*y = -a - a - 67 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qhqqqjajzhdhdjdqhdja.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + j + 21 + 0*j**2 + 3*j**2 + 11*j. What is the units digit of q(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 19512*g - 1346342. What is j(69)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57 + 6?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(3 - (-118)\/(-42)). What is the nearest to -0.1 in -3, l, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1547932 and 148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -213.8 in 5, -0.2, 7, -2\/9, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50101314 rounded to two decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 2*d - 9 + 20 = 0, -24 = -4*s + 5*d for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**4 - v**3 - v + 1. Let l(m) = 6*m**5 + 6*m**4 + 6*m**3 + 14*m - 6. Let r(u) = l(u) + 6*y(u). Find the second derivative of r(o) wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 - 3 - 2)*(16 - 2*l - 60*l + 25*l) + 4*l - 3*l - 4*l as k*l + d and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4125530052 + -3?\nAnswer: -4125530055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115, 125, 141, 163?\n\"Answer: 3*y**2 + y + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/488 and 32\/9.\nAnswer: 4392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 512957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-9)*(-9)\/2. Let i be (18\/(-3))\/y + -2. Suppose -7*s + 2*s + 115 = i. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*y - 24 - 23, -5*v - 43 = -2*y. Find the common denominator of (-4 + 2)\/(y\/(-31)) and 25\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 321, 1, -26, -25, 4 in descending order.\nAnswer: 321, 4, 3, 1, -1, -25, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 38*u**2 - 27*u - 19. Let a be q(18). Is a equal to 136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -p + 75, 303 - 493 = -5*k - 0*p - 3*p for k.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/5)\/w**(-1\/5)*(w*w**(-2))**16 assuming w is positive.\nAnswer: w**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2353.907l?\nAnswer: 2353907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 8*c**2 + 4*c - 27. Let h be s(-9). Calculate the greatest common factor of 72 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 - y**2 + 1. Let o(u) = -23*u**3 - 5*u**2 + 21*u + 5. Calculate 5*a(j) - o(j).\nAnswer: 38*j**3 - 21*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 43541 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (78241 + 13)\/(-11)*2*(-1)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2561*i + 16*i**3 - 2690*i**4 - 14*i**3 + 2174*i**4 wrt i.\nAnswer: -6192*i**2 + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 705 and 130895.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/5))**(-25)*o**(2\/15)\/(o**(-6)\/o)*(o**(-1\/3))**(2\/27)*(o\/o**(1\/8))\/(o\/(o*o**5)) assuming o is positive.\nAnswer: o**(-71333\/3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3374*h + 1847*h + 3 + 1521*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199*a - 280 = -164*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 1. Suppose -5*y + z = 0, 35 + 27 = -2*o - 3*y. Let t = o - -59. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, y: 2, d: 2, n: 5, e: 1, p: 2}. What is prob of picking 1 d, 1 y, and 1 n?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x - 21. Let n(b) = -12*b + 41. Let f(p) = -11*j(p) - 6*n(p). Let l be f(10). Suppose 5*a = -l + 110. What is the remainder when a is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*m - 35 = 0, 0 = 1846*j - 1851*j + m + 47 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*o + 625 - 503 + 688 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4069738\/1241 - -104830053473\/31943340. Let o = g + 19\/1430. Find the common denominator of 33\/20 and o.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*((sqrt(1377) - (sqrt(1377)*-2 + 2)) + -1)*5 + -3)**2.\nAnswer: -61560*sqrt(17) + 4960452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3743 is divided by 376?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwwmmwmmwmwwmmq. What is prob of picking 1 q and 1 w?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 228314293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26495*i - 26318*i - 7611 = 0 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 141020*f**2 + 1226323328*f + 293439767552.\nAnswer: 4*(f - 17744)**2*(f + 233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 7. Let c be s(-3). Suppose -c*j + 21 = 3*y, y + 3*y = j - 5. Is 5 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 327944230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 20, -7 = 3*o + 2*u - 42. Let a be (9\/o)\/((-6)\/8). Let m = -2.5 + 2. What is the third smallest value in -4, a, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 474441 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -57. Suppose -2*w + i = 37. Suppose -w*x + b + 23 = 0, 2*b = -x - 2*b - 7. Solve -6*h + x*h = 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 3*a**2 + a. Let f = -18 - -13. Let s = 14 + -6. Let o = s + f. Give y(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 103 = -3853*y + 3849*y, -11*s = -3*y - 244 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1352)\/78)\/(500\/2250)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, 4, 3.\nAnswer: 3, 4, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 10*w**3 + w**2 - 10*w + 11. Let b(f) = f - 1. Give -22*b(c) - 2*x(c).\nAnswer: -20*c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20626 is divided by 89.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**4 - 24*v**3 + 516*v**2 - 980*v + 783. Let w(d) = d**4 - 2*d**3 - 47*d**2 - 1. Let y(g) = f(g) + 3*w(g). What is r in y(r) = 0?\nAnswer: -13, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y + g - 1 = 0, 10 = -y - 4*g. What is the first derivative of -3 + 9*i**y + 21*i**2 + 10 - 35 wrt i?\nAnswer: 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/3 (b) -2\/47 (c) 3 (d) -10\/11 (e) -4 (f) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 3*o**2 + o + 3. Let d be y(3). Suppose -4*f + 38 = d. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -106*m - 8. Let v(g) = 13*g + 1. Let w(d) = 3*u(d) + 24*v(d). Let o(j) = 1428*j. Calculate w(o(q)).\nAnswer: -8568*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 3)*(-1 + 17*i**3 - 17*i**3 + i**5).\nAnswer: -i**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 52. Calculate the remainder when 838 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 264 + 2\/11*q**3 + 112*q + 94\/11*q**2.\nAnswer: 2*(q + 3)*(q + 22)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -11*b + 18. Solve -b*h - 5 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + b = 4, 3*r + b + 4 = -12. Let g be ((1110\/54)\/r)\/(-2). Let f = g - -4\/9. Put 0.2, 0.3, f in descending order.\nAnswer: f, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/120 and -59\/468.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 = -2*y, 19 = -4*x + 5*y - 16. Let q(k) = -k**3 - 11*k**2 - 10*k + 4. Calculate the remainder when 14 is divided by q(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -78 + 80. Find the common denominator of 7 and g*2\/(-2)*(-2)\/120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*u + 72 = 0. Let y = u - -26. Is (7 - y)\/(-10)*-1522 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 740176?\nAnswer: -1\/370088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.023, 1\/2, 2718?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*b**2 + 0*b - 12 + 20*b**2 + 12*b**2 + 26*b to m + a*b + d*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -17 - (196 + -187).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + 0*i**2 - 3*i**2 + (0 - 3 + 1)*(i**2 + 2*i**2 - i**2) + 12536 - 12536 - 50*i**2.\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -716490866 divided by -9373?\nAnswer: 76442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.576464ns to milliseconds.\nAnswer: 0.000004576464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*h + 6\/11*h**3 - 10\/11*h**4 + 4\/11*h**2.\nAnswer: -2*h**2*(h - 1)*(5*h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 2, 5, 310, 4, -3.\nAnswer: -3, 2, 4, 5, 24, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (7 + (1 - (5 + 5))) - 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 + 175. Let q = 35 - 26. Suppose -5*l + 86 = -q. What is the remainder when b is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 9*p - 6 = 0. Suppose -5*z + 240 = 2*c, 3*z = p*c - 106 - 134. What is the highest common divisor of 160 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g**3 - 2*g**2 - 2*g - 1 + 23*g**3 - 14*g**3 to f*g**3 + a*g + w*g**2 + z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 359083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 + 45 + 32)*(-2*s - 3*s**3 - s**3 + 5*s**3) in the form z + k*s + x*s**2 + v*s**3 and give v.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476123 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 32*q + 165. Let v be d(-5). Suppose 120 = 5*l - v*a, 5*l + 2*a + 8 = 93. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/6)\/(0 + (-2)\/2874)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 7*k. Suppose l - 2*b - 3 = -0, -2*l + 5 = -5*b. Suppose -3*y - l = 10. Give a(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 115458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5431677597 to the power of 1\/5, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - q + 2*q - 5*q - 6*q - q + ((2 - 2 + 1)*(3*q + 0*q + 0*q) - 4*q + q + 4*q)*(1 + 2 - 2).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 332 + 333 = 1791. What are the prime factors of t?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -220 - -205.1. Let b = v - -13.9. Let d be (1 - 12\/10)\/1. Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -645 or -512?\nAnswer: -645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -59. Suppose v = 2*w - 0 - 4, -5*w - 4*v = g. Solve 4*m = -w*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.266 + 5.266. Let o = 0.2 + -0.21. Which is the second smallest value? (a) o (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**3\/3 + 3*g**2 - 7*g. Suppose -3*v - 7 = 5. Calculate b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654364 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1286 + -24440\/19. Which is greater: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 129*q**2 + 386*q - 1. Let v be o(-3). Which is bigger: v or -353\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14) + 242825\/6181.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b**2 - 22*b - 5. Let g be n(-20). Let m = -567 + g. List the prime factors of -4 - 51\/(-15) - m\/(-5).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 254\/69 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 728 and 8.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - d + 44. Let z = -5774 + 5768. Calculate t(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 109, 440, 983, 1732, 2681, 3824?\n\"Answer: -f**3 + 112*f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/88 - -3\/22. Let p(l) = 2*l + 1. Let y be p(0). Let m be -8*(-1)\/9 - (2 - y). What is the second smallest value in m, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3 - (1 - 22\/(-6)). Suppose 0 + 4 = -4*o. Let t(u) = -21*u - 462. Let l be t(-22). Sort z, 2, l, o in decreasing order.\nAnswer: 2, l, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**3 - 3 - 1 + 20*i**2 - 17*i + 1. Let r(u) = 2*u**3 + 7*u**2 - 6*u - 1. Let k = -139 + 156. Calculate k*r(f) - 6*x(f).\nAnswer: -2*f**3 - f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 102, 150, 194, 228, 246?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a802 (base 11) to base 4.\nAnswer: -111112331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -19. Let z = 1034\/15 - 1039\/15. Sort 0.36, z, c in descending order.\nAnswer: c, 0.36, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 - 2*d**5 + 27 + 189 + 3*d**5 + d**4 - 191 + 2*d**5 - 2*d**5 + 3*d**5 + d**5 + (0*d - d + 3*d)*(0*d**4 + d**4 + 0*d**4).\nAnswer: 7*d**5 + d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*s - 10 = -4, -2*s = 4*l - 30. Suppose 3*p - p - 12 = 0. What is the third derivative of -4*f**6 + 3*f**l + 3*f**p + 2*f**2 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50*j**5 + 5*j + 4?\nAnswer: -1000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*v + 278*v + 9108 = 0. Calculate the remainder when v is divided by 99.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - 247\/2. Let i(y) be the first derivative of -7*y**3 + t*y**4 + 0*y**2 - 3 + 3*y. Factor i(w).\nAnswer: 3*(w - 1)*(2*w - 1)*(3*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 50074 = -22763 - 53739. What are the prime factors of z?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/7)*y)\/y*y**(2\/7)*((y**(2\/7)\/y)\/y)**(-1\/47))**(-6\/7) assuming y is positive.\nAnswer: y**(-2046\/2303)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 807*g - 3210. Calculate b(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1694)\/(-11) - (-1 + -1 - 2). Let t = u + -113. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 17 = 5*t. Suppose t*u - 171 = 126. Let w(f) = f**3 + 4*f**2 + 5*f + 17. Let y be w(-3). Calculate the greatest common factor of u and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1245 (base 16) to base 4\nAnswer: -1021011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0686 times 11032?\nAnswer: 756.7952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1435, -1438, -1441, -1444, -1447?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/25 in -1\/3, 0, 1, 11, 90.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 17. Let d(i) = -99*i - 44. Calculate -d(j) - 2*y(j).\nAnswer: 101*j + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f - 8. Let g be k(5). What is the first derivative of -8*m**2 + 4 + g*m**2 + 4 wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -15429*w**3 + 6*w**2 + 3*w - 11. Let i be t(-8). Suppose -2*f - 3*l = 15799991, -l = 5*f - 4*f + i. Round f to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8807 - 8810. Put u, -7, -1\/7, 4 in decreasing order.\nAnswer: 4, -1\/7, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496273642?\nAnswer: 2, 449, 1033, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -9\/4 (b) -1\/463 (c) -2\/7 (d) 4\/5 (e) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 555600704*u**5 - 1035640314*u wrt u.\nAnswer: 11112014080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -191*x**2 - 25*x**2 + 34*x**2 + 5 + 0*x**2 as c + v*x + j*x**2 and give j.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -5*p**2 + 5 + 0*p + 0*p**3 - 1\/24*p**4. Let w(s) be the second derivative of r(s). Let f(q) = 3*q. Calculate f(w(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50083 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-2 - 2) - -88. Let z = f + -62. What is the remainder when 111 is divided by z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.113 - 0.413. What is the nearest to v in -0.3, -2\/5, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(2))\/sqrt(2) + sqrt(28)\/sqrt(196))**2.\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*i - 615*i + 1662 = -450*i - 5169 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.57926 to 1 dp.\nAnswer: 22.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2049263 is divided by 144?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*v + 42*v - 4*n + 7, -24*n + 21*n = 0 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4529 or 31702\/7?\nAnswer: 31702\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346 is divided by 419.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 48454342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 755 and 53143846?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 + 190*r\/7 - 372\/7.\nAnswer: -2*(r - 93)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*h - 1896*h + 382*h + 377*h + 475*h.\nAnswer: -204*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 3. Let q(f) = -f - 7. Let k(s) = s - 1. Let h(b) = 2*k(b) - q(b). What is -4*h(o) - 7*v(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15210457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39818*b + 198651*b + 5669*b.\nAnswer: 244138*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oglcllp. What is prob of sequence cg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -1\/45 (b) 29 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h + 5*h - 468. Find l, given that -17*l**2 + 180 - 204*l - 14*l**2 + 72*l**3 + 4*l**5 - 57*l**2 + h*l**4 = 0.\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -11809*o - 2. Let b(x) = -2706*x**2 + x. What is w(b(p))?\nAnswer: 31955154*p**2 - 11809*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v + 7*v - 1 + 1.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 85*r + 160*r.\nAnswer: 252*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*w = -91*w - 2*a - 8, 3*w + a = 40. Solve -46*m = w*m - 228 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -391, 40.8, -0.5, -4?\nAnswer: -391","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -956, 0.02, 1004, -2?\nAnswer: -956","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n - 10. Let q(h) be the third derivative of h**6\/120 - h**5\/20 - 5*h**4\/24 + h**3\/2 - 10*h**2. Let o be q(4). Is n at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415044245.\nAnswer: 5, 7, 11, 263, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31992.7 + -32008.6991. Let d = 16 + q. What is d rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/40)\/(2502\/(-1112)))\/((-236)\/10).\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 5*p**2 + 6*p**2 - 24.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15969787 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -33\/2. Let x(o) = -2*o - 13. Let j be x(-15). Are y and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 259 or 258?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1106 + -1094. Solve -7*o = l - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -295, -684, -1095, -1528, -1983?\n\"Answer: -11*t**2 - 356*t + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3564) + -2*sqrt(3564))*-2)\/((-6*sqrt(176)\/sqrt(4))\/sqrt(11)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 241896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 y when three letters picked without replacement from {m: 2, a: 1, o: 2, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let r = 4 + m. Let g = -0.19 + -0.01. Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 18. Let o be a(-9). Let l be (1 - (-1 + 1))*o\/72. What is the third smallest value in -3\/5, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28960*d*m**5 + 2*d*m**3 + d*m**2 - 6*d*m + d + 5358*m wrt m?\nAnswer: -579200*d*m**3 + 12*d*m + 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -422441435 + 1?\nAnswer: -422441434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, a: 2, c: 6}. Give prob of sequence aca.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/15 (b) 0.1 (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -206*n - 10. Let s(q) = 206*q + 12. Calculate -6*h(c) - 5*s(c).\nAnswer: 206*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - 42 + 4*d + 88 - 62.\nAnswer: 4*d - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b**3 + 59*b + 201. Determine p(-4).\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 20. Calculate the lowest common multiple of s(-8) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 278 = -281 + 562 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*u + 3 = 0. Suppose -u = -2*g + 1. Suppose 0 = -m - 0 - g. Which is greater: -14\/13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = o, -5*h + 4*o = -40. Solve -3*q + h = 7*s - 2*s, -5*q + 3*s = -2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1872597824 + 11421.\nAnswer: 1872609245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.181 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.042 + -0.042004. Round y to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 182*h + 160. Determine v(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 1, v: 3, y: 2, p: 1, j: 8}. What is prob of picking 1 j, 1 v, 1 p, and 1 q?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -6*b - 2391. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -141152.484839.\nAnswer: 141152.484839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 1. Let d be q(0). Let o(a) = -2*a + 1. Let l be o(d). Find g such that 0 + 0*g - 1\/5*g**l - 1\/5*g**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 320 = 7*u, 364 = 1659*r - 1655*r + 4*u for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, -0.21, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 + -7)*(4 + 3 - 0). Calculate the highest common divisor of 363 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -754, -752, -750?\nAnswer: -748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -108*d**2*s**4 + 4*d**2*s + 1431*d**2 + 20*d + 5*s**2 wrt s.\nAnswer: -432*d**2*s**3 + 4*d**2 + 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4332 divided by -12?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 f, and 1 v when four letters picked without replacement from {h: 1, d: 1, f: 2, v: 2, r: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 at least 808?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 - (4 + -4 + -5). Suppose 3452 = b*j - 8*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470)\/sqrt(10)*1)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-542)\/4 + (-3)\/(-2). Let u = -7 - j. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14848394 <= 14848394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**38)**(6\/5) assuming h is positive.\nAnswer: h**(456\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 587001182?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 351 = 5*t. Suppose -4*b + 250 = -5*a, 0 = 3*b - 2*b - 4*a - t. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 11*z - 2. Let m be t(4). Let f(s) = s**2 - 15*s + 6. Let n be f(12). Let a = m + n. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g. Let z(a) = 74234*a**2. What is z(u(f))?\nAnswer: 296936*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 917 and 389594?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98120.\nAnswer: 2, 5, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1 + sqrt(75))*-6 + sqrt(75) + (sqrt(75) + 1)*-3)**2.\nAnswer: -240*sqrt(3) + 4814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 22. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 - 11. Let u(i) = 5*i**2 + 10. Let f = -5469 + 5463. What is f*u(m) - 5*z(m)?\nAnswer: -5*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3\/5))\/z**(-5))\/((z**(-1\/2)*z*z*z)\/(z*z\/(z**(-2\/5)\/z*z))))\/((z*(z\/(z*(z*z**(1\/3)*z)\/z)*z)\/z)\/z*z*z\/(z*z\/z**3))**(4\/11) assuming z is positive.\nAnswer: z**(1549\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -8, f = 4*x + 3*f - 4. Let m = -7 - -12. Suppose -x*n - m*y = -25, 4*y = -n + y + 11. Solve -2*s - 3*s = n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -119697.\nAnswer: -35\/119697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + -4 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.44 - 2.16. Let y = -3 - g. Let n be ((-2)\/(-3))\/((-6)\/(-27)). Which is the third smallest value? (a) -5 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4939.6158 minutes in days?\nAnswer: 3.43028875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**2. Let x(o) = -2*o + 23. Let w be x(11). Let h = 2 - w. Let a(y) = -6*y**2 + 7 - h - 6. Calculate a(t(f)).\nAnswer: -96*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 (base 8) in base 13?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104679.\nAnswer: 3, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 22*h + 20 = 0. Differentiate -h*v**2 - 9 - 11*v**2 - 7 + 9 with respect to v.\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22471 + -22474. Which is bigger: z or -6237?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0*h + 45. Suppose 528 = h*j - 7*j. What is the greatest common factor of 33 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5760, 5755, 5738, 5703, 5644, 5555?\n\"Answer: -v**3 + 2*v + 5759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2250)\/90 - -19*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**9\/252 - s**5\/5 - 6*s**2. Find the third derivative of d(b) wrt b.\nAnswer: 240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5282888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)*m*m**(-2\/5)\/m*m*m*m)\/(m\/m**(-3\/2)*(m*m*(m\/((m*m\/(m\/(m*m**(1\/4)\/m)*m))\/m))\/m)\/m*m) assuming m is positive.\nAnswer: m**(-437\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**3\/3 - 9*z**2\/2 + z. Let j be l(6). Suppose j*c + 2 = 4*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let t be o(1). Let b be 4*t + (-8)\/((-16)\/18). Solve p = 2*p - b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12493479 - 14.1.\nAnswer: 12493464.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -46423, -92841, -139259?\n\"Answer: -46418*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, 3\/2, -0.2, 24, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (20\/(-4))\/((-45)\/(-205))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u + 10. Let w(y) = 3*y + 36. Let s(x) = 2*x + 19. Let o(v) = 7*s(v) - 4*w(v). What is -6*f(r) - 5*o(r)?\nAnswer: 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -3387 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a factor of 388034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + f. Let a(p) = 290*p**2 - 6*p - 1. Determine -a(j) - 6*o(j).\nAnswer: -284*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 7*q - 7. Let k(o) = -o**3 + 7*o + 6. Let p(a) = -6*k(a) - 5*m(a). Let d be p(3). Which is bigger: 13 or d?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 4. Let m(u) = -2*u**2 + 4. Let l(g) = 2*f(g) - 3*m(g). Find i such that l(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 4*j**2 + 3*j. Let d be b(-2). Let s(c) = 4*c**d + 4 - c - 3*c**2 - 2*c**2. Let w(a) = -a + 1. Let q be w(1). Give s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**3 + 8*t**3 - 10*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1612385744?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 8*x + 15. Let q(y) = 2*y**2 - 17*y + 31. Let m(s) = -5*k(s) + 2*q(s). Let t be m(8). Let z = t - -62. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 9999?\nAnswer: -999.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5064202121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14235 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75568538 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -15. Let b be -1 + 3 + -2 - k. What is the highest common divisor of b and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -29. Let p(o) = -o + 11. Let u be p(h). Suppose -54 = -u*c - 9. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1442 (b) 4\/7 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 77. Let i = 6 + -6.3. Which is the biggest value? (a) q (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6, -61, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1214193000 - -18\nAnswer: -1214192982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**5\/3 + 1079*g**4\/3 - 380429*g**3\/3 + 43620973*g**2\/3 - 14161690*g - 28829184 = 0?\nAnswer: -1, 2, 256, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 11. Suppose 5*z = -n + 25, 0 = z - n - 2 + 3. What is the remainder when p(-8) is divided by (-24)\/2*(-5)\/z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -6. Let i(g) = g**2 + 3*g + 4. Let f be i(-3). Does 2 divide l\/f + 1\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2024?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g - 32166538159 + 32166538159.\nAnswer: -34*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -3*c**3 + 15*c**2 - 23*c - 22. Let m(w) be the first derivative of d(w). What is the first derivative of m(r) wrt r?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.9 times -265?\nAnswer: 1033.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 4*u**2 + 7*u**2)*(4 - 2 - 3) + (5*u + 0*u - 3*u)*(4 - u - 4) + u**2 - 2*u**2 - u**2 - 220*u**2 - 1973*u + 1973*u.\nAnswer: -225*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*n**4 - n**3 - 2*n - 105400 wrt n?\nAnswer: -96*n**3 - 3*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = 31*a - 33*a. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 66. What is the remainder when 134 is divided by (-4)\/(-18) + (-723)\/w*2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, -2\/3, -93, -5 in increasing order.\nAnswer: -93, -5, -2\/3, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(54\/(-4)))\/((-2)\/6). Suppose -o = -h*o - o. Suppose 12 = 4*b + 2*m + 2*m, -4*b + 3*m + 47 = o. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1022\/527 or -1?\nAnswer: -1022\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x**2 - 960*x - 143. Give w(74).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25, 35, 33, 13, -31, -105?\n\"Answer: -d**3 + 17*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 3*p**2 + p + 1. Let g be h(-2). Let f = 1 - g. Let c be -2 + (0 + 1)*f. Solve 4*q = 4*m - 8, 4*m + c*q + 0 - 16 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8946 - 8941. Which is the nearest to 1? (a) -25 (b) 3\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 4 = 13*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y + 244. Let f be x(-17). Suppose -2*c = -35*j + 32*j + 1, -2*c - 5*j = -f. Solve -c*n = -20, k - n = 6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11575552 (base 8) to base 2.\nAnswer: -1001101111101101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 1:04 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.6 (c) 8\/7 (d) 4 (e) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2713*d - 2695*d + 114*d**2 + 5 - 116*d**2 - 5 + 5408*d.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 399597, 798751, 1197905, 1597059?\n\"Answer: 399154*w + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 10 + -7 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69*p**2 + 111?\nAnswer: 138*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4285, -1541, 1203, 3947, 6691?\nAnswer: 9435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 13. Let k(i) = -i + 1. Let g be k(-2). Suppose -2*a = g*m - 20 - 7, -4*m = 3*a - 36. Let u be b(m). Solve -1 = 3*p + 14, -u*p = 2*t + 31 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-12)\/d)\/d**(-2\/39))\/((d\/(d\/(d\/(d*d*d**5))*d)*d)\/d)**29 assuming d is positive.\nAnswer: d**(7412\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/6 - 9*d**2\/2 + 31*d - 136\/3.\nAnswer: (d - 17)*(d - 8)*(d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.440543 to 0 decimal places.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 at least 2137\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 29*m**2 + 29*m - 13. Let l(u) = -10*u**2 - 10*u + 4. Let i(t) = 17*l(t) + 6*n(t). Let b be i(-16). Round b to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654 divided by -109.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*x + 10. Differentiate -6*l**2 - 4 + 3*l**2 + x wrt l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 5\/3 (b) -0.01 (c) -259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 4652 and 4652 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((g + 1 - 1)*(0 - 1 + 3) - 2*g + g + 2*g - 2*g + 0*g + 3*g)*(20 + 25*g - 20).\nAnswer: 100*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 - 17\nAnswer: -17.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15888\/7 - 1200033\/532. Let n = 24007\/38 - k. Let r = n + -611. What is the common denominator of -43\/18 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l + 7. What is the remainder when n(-5) is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - (-1 + 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**2 + 4 + 6 - 8*a**2 + 5*a = 0 for a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4013, -5761, -7509?\n\"Answer: -1748*i - 2265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -57f1a41 + -3?\nAnswer: -57f1a44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3\/5 - 1000*n**2 - 91548*n\/5 + 319536\/5 = 0. What is n?\nAnswer: -21, 3, 1268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36\/(-54))\/(2\/(-27)). Suppose g - w = 19. Let 4*v**2 - 2 + g*v - 15 - 15 = 0. Calculate v.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2968865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -1)*(-20 - -19). Suppose 3*k - 7*v = -3*v + 46, 0 = v + x. Let l be ((-4)\/15)\/(k\/(-35)). What is the third biggest value in 0.4, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 - 1142040*r**3 - 144913074678*r**2 - 6128615357796528*r + 67432304937897009.\nAnswer: -3*(r - 11)*(r + 126897)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*(sqrt(17) - 1*sqrt(17))*-3 + ((sqrt(17) + 0)*3 - sqrt(17))*6)*-2.\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**2 + 5*u**2 - 3 + 12*u**2 + u + 2*u. Let g be j(2). Suppose 31 = 3*m + 2*t - 6, -3*m - 4*t + g = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + -5 - -1 - 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 165*a + 160*a = -148513, -4*g = -a - 593926. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 - 2*i**2 - 2. Suppose -r + l + 82 - 80 = 0, -3*r + 5*l = -2. Calculate the least common multiple of r and f(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2*135\/54.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 6:40 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 267237 (base 9) in base 5?\nAnswer: 20202023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -183 + 1817. Let v = -1117 + a. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.003, -2 in decreasing order.\nAnswer: 0.003, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*i**2*m + 6*i**2 - 210*m wrt i.\nAnswer: -4*i*m + 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -7*f**4\/6 - 11*f**3\/6 + 8*f + 4. Let k(i) = 5*i**2 + 4*i. Give 17*k(b) + 6*t(b).\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(4\/1)\/112.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12 - 12 + o**2 + (33 - 33 + 2*o)*(1 + 2*o - 1) - o**2 + o**2 - 2*o**2 - 3*o**2 + o**2 + 7*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t + 8. Determine d(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -94. Let l = 78 - 23. Let r = l - o. Which is the closest to r? (a) 2 (b) 0.2 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 49) + (13 - 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 9*x + 3. Let r be i(9). Suppose 0 = l + r*l. What is the tens digit of (l - -1)*3 + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402805.\nAnswer: 5, 13, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h**(3\/4)))\/h**1*h\/(h\/h**(2\/3))*h*h*h*(h\/(h**(-1\/4)*h))\/h)\/((h**(2\/9))**(20\/11)\/(h**(-1\/3)*h*h*h**6\/h)) assuming h is positive.\nAnswer: h**(1669\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11636 or -2037?\nAnswer: -2037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 27019512.\nAnswer: -1\/6754878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-12)*3\/10. Let h = 20.63 + -17.63. Let v = 4 + -2. Which is the third smallest value? (a) h (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 8 = 0, -5*x - 113 = 3*d + 20. Let k = 226 + d. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from ffarayafwkwakak?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -3\/2*i**2 + 24*i + 9 - 1\/3*i**3. Let o be b(-6). Calculate the highest common divisor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = -3*x. Let r be (-7)\/(-4) + (-1)\/x. What is m in 2*m**3 - 7*m**4 + 3*m**4 + m**4 + 2*m**4 - m**r = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - z**2 + 0*z**3 + z**3 - z**2 + 0 to o + k*z**2 + i*z**3 + c*z and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.368 to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-3 - (-25 + 8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1647?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 98*m**3\/3 + 97*m - 20. What is the derivative of x(r) wrt r?\nAnswer: 196*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**3 + 2*r - 1. Let l be p(1). Let f = l - 6. Solve 0 = -f*b - 0 - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 21*o + 3*p + 15 = 0, 4*o + 3*p = 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 5*u + 2. Let z be g(4). Suppose -z*t + t + 150 = 0. Calculate the common denominator of t and -41\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 + 26. Let a be w - 6\/3*1. Suppose -23 = -2*t + a*y, -5*t = y + 4*y + 5. Solve -r = -t*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**2 - 20 + 20)*(3*i - i - 4*i)*(-7 - 3 - 8).\nAnswer: 360*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*i**6*m + 4*i**4 + 3*i**2*m + 2*i**2 + i*m + i + 166 wrt i.\nAnswer: 6480*i**3*m + 96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -251820468 divided by 6.\nAnswer: -41970078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 2:36 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/14, -2\/7, 0, 123, -67?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/9, 0.1, 0.177, 119\/8 in decreasing order.\nAnswer: 119\/8, 2, 0.177, 0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {i: 2, d: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p, 4*l + 2*p - 14 = 4*p. Let o(j) = 3 - 2 + j**2 + 4*j + 2. Does 4 divide o(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51169 is divided by 3654.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27\/13 + -95\/52. Factor 0 - 1\/8*y + 0*y**3 - o*y**4 + 1\/4*y**2 + 1\/8*y**5.\nAnswer: y*(y - 1)**3*(y + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14132674*n**2*u - 1325106*n**2 - 1 wrt u?\nAnswer: 14132674*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roroerotoe. Give prob of picking 2 e.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/5*4\/((-96)\/6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1367 in -2, 5, -2696?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 20*r - 66. Let w be j(-23). Suppose w*o - 4*t - 24 = -2*o, -5*o - 5*t = -15. Solve -o*n - 16 = -0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:57 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97431 equal to 97431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -726233, -2905004, -6536291, -11620094, -18156413, -26145248?\n\"Answer: -726258*t**2 + 3*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 140 = -3*k, k - 3*o - 60 + 6 = 0. Let u be 70*381\/k - 0. Let p = u + -554. Find the common denominator of p and 26\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/30*156\/273*198\/21.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11021 (base 6) to base 7\nAnswer: 4306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152896634 by 11.\nAnswer: 13899694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = d - 2*d. What is the greatest common factor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -187\/120 and -31\/36423?\nAnswer: 1456920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 789800242 to the power of 1\/2, to the nearest integer?\nAnswer: 28103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-18) - 18\/20. Let d = -15 + 14.87. Which is the nearest to 0? (a) k (b) 2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37886873*a**3 - 41868366 wrt a?\nAnswer: 113660619*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -404099 divided by 1.\nAnswer: -404099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 564 + -544. Let j(i) = 21*i. Let u be j(5). Let w = u - -34. What is the remainder when w is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 568960 and 573405.\nAnswer: 4445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 712745489 + 5\nAnswer: 712745494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -4. Let z = -13 + 18. Sort -5, v, z in descending order.\nAnswer: z, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42112\/(-3290)*15\/12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1040321 - 5?\nAnswer: 1040312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3224 (base 5) in base 3?\nAnswer: -121021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49848.11ml in litres?\nAnswer: 49.84811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.2, -2370978, 0.037?\nAnswer: -2370978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/390 + 31*t**4\/156 + 10*t**3\/3 - 109*t**2. Factor f(x).\nAnswer: 2*(x + 5)*(x + 26)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 93, 218850.\nAnswer: 0, 1, 93, 218850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*10\/2*(-263)\/(-1578)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 193290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n - 48*n + 420 = 0. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (5 + 9 + -1)) + 3 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 6*t = -58. Suppose -2*v + 58 = -t. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 75\/(-20)*8\/(-3). Differentiate -37*r**2 + 7*r**2 + z*r - 21 - 10*r with respect to r.\nAnswer: -60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xddo. What is prob of sequence ddo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 893878, 893880, 893882, 893884, 893886?\n\"Answer: 2*g + 893876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g - 15. Let y be a(3). Suppose -4*s = -5*o - 1, 4*s - o + 3 = -y*o. Sort 5, -4, 0.3, s in ascending order.\nAnswer: -4, s, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -444 + 144 + 127 + 148 - 7*t. Give f(-14).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 - 7805*z - 150100 = 0.\nAnswer: -19, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) - ((-344)\/(-10))\/4. Let t be 8 - ((-30)\/54 - z). Sort 1, 5, 0.6, t.\nAnswer: t, 0.6, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 61, 0.015832?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13160*g**3 + 4*g**2 + 4922*g - 2?\nAnswer: 78960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21258.82 rounded to the nearest one hundred?\nAnswer: -21300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2863348*f - 13025173 with respect to f.\nAnswer: 2863348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f + 2. Let a(g) = -16*g + 5. Calculate -4*a(h) + 9*s(h).\nAnswer: -8*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 234, -2, -0.5, 347?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**6\/15 - 6*y**5\/25 - y**4\/5 - 65. Suppose g(u) = 0. What is u?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536 is divided by 309?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30650 or -30647?\nAnswer: -30650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*m)*(9*m**2 - 3*m**2 - m**2 + 10*m**3).\nAnswer: 20*m**4 + 10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 9 - (14 + -1 + (16 - (44 - -22))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -424*s + 120 = -452*s - 48 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/7*(-6)\/(-207)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 90 = 14*i, 1581*w - 1577*w + 3*i = 25 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 271519\/112706 + (-12)\/(-11)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11613, -11621, -11629, -11637, -11645?\n\"Answer: -8*x - 11605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 6*x - 7. Let u be n(3). Let s be 4 + (-4)\/(u - -2). Suppose -j - 7 = -p, 0 = 2*j + s*j - 20. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 942301360 divided by 37310\nAnswer: 25256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 146.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 4796?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4951.\nAnswer: 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49547097199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24263327.\nAnswer: 11, 47, 71, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*n + 90 = -95*n - 76*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*z, 0 = 3*m - 4*z - 476 - 5. Which is smaller: 163 or m?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, -6, 2\/15, -0.99, -470, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = b + 8, 3*j - j = -5*b - 24. What is the units digit of (96\/(-9))\/b*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(5) + 4 - sqrt(5))*-5 + sqrt(5)))**2 + (sqrt(15)\/(sqrt(3)*2) - sqrt(10)\/sqrt(2)*-4).\nAnswer: -2871*sqrt(5)\/2 + 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:50 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 4*y - 2*y)*(3*y - 4*y + 2*y) + (3*y - 3*y + 2*y)*(-4*y + y - 6*y).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-15))\/(((-44)\/(-165))\/((-14)\/(-189)))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a factor of 21201910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -7412?\nAnswer: 7412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -8*y - 2. Let w be t(1). Let j(o) = -8*o - 18. Let r(h) = -3*h - 6. Let s(d) = w*r(d) + 3*j(d). Find the first derivative of s(u) wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/((-225)\/20)*9\/2. Suppose -v*a - 1147 = -3073. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-33)*(-135)\/1035?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 44.49695.\nAnswer: -31.147865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1418541*t + 1034385?\nAnswer: -1418541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcf when three letters picked without replacement from cfyycohyfyoffffffooh?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 6 + 0*g**2 - 10\/3*g**3 + 9\/5*g**5 + 0*g**4 + 0*g. Find the third derivative of v(q) wrt q.\nAnswer: 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + k**2 - 6. Let w be p(0). Find the common denominator of 1\/(-2)*121\/88 and ((-474)\/(-40))\/(18\/w).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62763, 62764, 62765, 62766, 62767, 62768?\nAnswer: 62769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1, 0.051, -0.21, -4.7 in descending order.\nAnswer: 1, 0.5, 0.051, -0.21, -4.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**3 - 1066*g**2 + 8. Let p(k) = 4*k**3 - 710*k**2 + 5. Let h(i) = 8*p(i) - 5*r(i). Factor h(a).\nAnswer: 2*a**2*(a - 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7375 + -5d?\nAnswer: -73d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3 - 7 + 3 - l**2 + 10*l - 4*l - 5*l. Let z(x) be the first derivative of 10*x**3\/3 - 6*x**2 + 16*x + 7. What is 12*s(a) + z(a)?\nAnswer: -2*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/2052 and -17\/1764.\nAnswer: 100548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**6\/6 + 3*j**5\/4 + 25*j**4\/6 - 20*j**3 - 1548*j. Solve m(p) = 0 for p.\nAnswer: -3, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -v + 4*v + 4*y, -3*v = -5*y - 118. Suppose -t + 107 = -v. Let c = 281 - t. What is the remainder when c is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -695402, -1390818, -2086234, -2781650?\nAnswer: -3477066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7322 plus -810971?\nAnswer: -803649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -35. Let c be (4\/14 + 3368\/(-28))\/h. What is c rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**2 + s**3 + s**3 - s**3 - 3*s. Let o be t(4). Let k(j) be the first derivative of j**3\/3 - 2*j**2 + 5*j - 19. Determine k(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228.99*-0.4\nAnswer: 91.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**2 - 100 + 100)*(17*s - 53*s - 13*s) as v*s**3 + i*s + l + k*s**2 and give v.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**5\/20 - 5*d**3\/6 + 7*d**2\/2 + 3*d + 62. Give g(4).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12700 and 37\/1314025.\nAnswer: 667524700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/24 in -1\/4, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*5\/60*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2. Let c(x) = 2081*x - 2081*x - 228*x**2. What is b(c(y))?\nAnswer: 103968*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53808*i + 5700 = -53865*i for i.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 7:57 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43976*a - 17010*a + 36945*a + 4117*a + 11919*a.\nAnswer: 79947*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101225, 202428, 303631, 404834, 506037?\nAnswer: 607240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27940 and 5500.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.6 + -1.6. Let k = t + -0.4. Put k, -1\/6, 0 in ascending order.\nAnswer: k, -1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 640 = -3*k. Suppose -7*q - 5*i = -8*q + 291, 2*i = -4. Let a = k + q. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 35*x**2 - 20*x - 90. What is y(-17)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (28\/119)\/(8\/20*5\/1)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -171640*t**2 + 243983?\nAnswer: -343280*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/1 - (-4 - -1). Let u(d) be the second derivative of -d**5\/10 - d**4\/4 - d**3\/6 - d**2\/2 + 2*d. Let n be u(v). Is 6 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 861*l**2.\nAnswer: 861*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + 17. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r - 12. Let c be b(-13). Let u = c + 39. Let d(t) = -2*t**3 - 1. Let s be d(-1). What is the greatest common divisor of s and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*t + 3. Let k(z) = z**3 + 4*z**2 + z - 1. Let h be k(t). Suppose 0 = -h*c + c + 80. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(500) + 1) + (sqrt(500) - 1*sqrt(500))*-5)**2.\nAnswer: 20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -22*z + 1215. Let b be (0 - 4) + 0 - (-88 + z). Solve 2*w = c + 6, b*w + 14 = 8*w - 3*c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73720212 and 1934.\nAnswer: 1934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -491, -736, -981, -1226, -1471?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13.1 * -2\nAnswer: -26.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = g - 0*s, 2*s - 4 = 0. Suppose 5*t = -20, 0 = -c - 3*t - 2 + 1. Calculate the smallest common multiple of g and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 6, -5*b - 2*i = -26 + 143. Let n(j) = 35*j**3 + 21*j. Let p(c) = -c**3 - c. What is b*p(g) - n(g)?\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 14\/70 + (-28)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 5 + 6 - 23*z.\nAnswer: -25*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -417*b**5\/4 + 283*b**2\/2 - 934*b. Differentiate i(l) wrt l.\nAnswer: -6255*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*r**4 + 48*r**2 - 48*r**2 + (r**2 - 4 + 4)*(-3*r**2 + 6*r**2 - 2*r**2) to the form p*r**4 + w*r**3 + x + h*r + l*r**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 25*y**2 + 27*y - 27. What is the tens digit of u(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 258968 and -217?\nAnswer: -56196056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 - p. Give y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/((-254)\/4 - 4) + (-8)\/(-18).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/3 - 48*n**2 - 770*n\/3 = 0. What is n?\nAnswer: -5, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -108 + 108 + 17*w**2 as q*w + i*w**2 + x and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/17)*y*y)\/y**3)\/(y*(y*y**(3\/10))\/y*y**(-2\/15)\/y)*(y**5\/((y\/y**(-11))\/y))**(-19) assuming y is positive.\nAnswer: y**(11497\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 12:07 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 16*x**4\/3 + 176*x**3 + 2178*x**2 - 52*x + 34. Let b(m) = 0. What is m?\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 52.91897mm?\nAnswer: 0.00005291897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -9\/263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -18*a. Let q(v) be the third derivative of -v**5\/30 + v**4\/24 + 23*v**2. Let j(d) = d**2 - d. Let m(u) = -3*j(u) - 3*q(u). Give m(o(f)).\nAnswer: 972*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 6*y + 7. Let t be a(0). Let i be (t - -1) + (4 - 6). Solve 0 = i*b - 4 - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 58 + 6 - 121 + 20*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 1:39 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -22. Let a = 9 + r. What is the greatest common factor of 198 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0 + 3\/200*m**6 - 1\/10*m**3 - 7\/100*m**5 + 0*m + 1\/8*m**4 + 21*m**2. What is z in j(z) = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -137, -205, -273?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 16470157 divided by 6\nAnswer: 16470157\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.048137 and 64.\nAnswer: -3.080768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 144963*44.9\nAnswer: 6508838.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2230 - -1?\nAnswer: 2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -3 - -2) + -1 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 42*r**3 - 30*r. Let y(n) = -17*n**3 + 12*n. Determine -5*q(a) - 12*y(a).\nAnswer: -6*a**3 + 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-136)\/16)\/(242\/(-121)).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6*f = -z - 15, -3*z + 3*f - 18 = 0. Let w(x) = x - 1. Let a(v) = -9*v - 3. Let y(p) = -a(p) - 6*w(p). Let s(r) = r + 4. Give z*y(c) + 7*s(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, 1 s, and 1 u when four letters picked without replacement from sukrkrrmr?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 16. Let z be (-1 - 38\/(-6))*-6. Let y = -25 - z. Solve -q*r = y + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 equal to -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:30 AM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-158)\/(-553)*28\/(-6)*(-15)\/(-140)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/39 - 73612\/6214\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -117282724637557\nAnswer: -117282724637559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z + 18. Let u be n(-14). Suppose 4*b = b - 81. Let k = b - u. Let j(x) = -x**3 - 4*x**2 - 2*x - 1. Determine j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2. Let r(g) = 168*g**2 + 28. Determine 14*q(l) - r(l).\nAnswer: -154*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 24*m**2 - 11*m - 30. List the prime factors of p(21).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-60)\/(-21) + (-2)\/(-14). Let m = -10 + 52\/5. What is the nearest to m in -2, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 301, 1070, 2563, 5020, 8681?\nAnswer: 13786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**5\/30 + 123*m**4\/4 + 734*m**3\/3 - 367*m**2 - 3*m + 2. Factor t(k).\nAnswer: 2*(k + 2)*(k + 367)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/(-28) + (-196)\/343.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36788915089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 19*v + 6. Calculate r(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 + 7*h + 9. Let t(m) = -8 + 8657*m + 8648*m - 17311*m + 3*m**2. Give 5*l(d) + 6*t(d).\nAnswer: -2*d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 25, -3, -176, 0 in ascending order.\nAnswer: -176, -3, -1, 0, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose -6*m + 4*b + 38 = -3*m, z = -5*m - 2*b + 46. What is the remainder when 37 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 689920 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 463468373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*y - 216 = 1082. Solve 6 = 14*p - y*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((4 - 2) + (-6 - -7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28061*b**2*u**4 - 44*b**2*u**2 - 2*b**2*u + 22600*b**2 - 2*u wrt u?\nAnswer: 336732*b**2*u**2 - 88*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*sqrt(640)*-3)\/((sqrt(80) - (sqrt(80) - (sqrt(80) - -5*(sqrt(80) + (sqrt(80) - sqrt(80)*2 - sqrt(80))))))\/sqrt(10))*3)**2.\nAnswer: 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*t - 6 = -4*t - 13, 4*t + 18 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-80)\/8))\/(2\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 + 1091*z**2 + 3289*z - 13. Determine f(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-1 + -2 - -15). Suppose -10*j - 12 = -f*j. Let -12\/5*r - 6\/5*r**2 + 2\/5 + 112\/5*r**j - 96\/5*r**4 = 0. What is r?\nAnswer: -1\/3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4*9 - 3. Let v = 1.8 - 2. Let u = v - -0.1. Which is the third biggest value? (a) p (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f. Suppose -805 = -30*o + 25*o. Let z(w) = 5*w - 321 + 160 + o. Determine i(z(s)).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*p + 341 - 31 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*o - 52 + 35*o + 52 + 25*o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyyhyhhyyyyydydyyyy. Give prob of sequence dhhh.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89 and 27412?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/408 and -89\/1907664.\nAnswer: 32430288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1\/8 (c) -2 (d) 4\/7 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10 (b) -5 (c) -1\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1668040 and 4488.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 8*m + 6. Let h be b(8). Let r be 264\/56 + h\/21. Suppose -c - 12 = -3*v + 34, -r*c - 34 = -v. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 = -4*z - 103. Let g = z - 75. Solve n - 4 = g*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -33*k**3 - 3*k**2 - k - 1. Is m(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 215070.552ms?\nAnswer: 0.0024892425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79.2 + -77. Let s = -3 - -3.2. Let r = s - v. Which is the closest to -1? (a) r (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4734 - 3582 = 12*t. What is the highest common factor of 258 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 11 in descending order.\nAnswer: 11, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (3 + 5 + 0 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -34, -0.3, 1.06, -2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 12:27 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h + 4*h. Solve -4*c - c - 15 = h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4*w + 3. Let s(m) be the second derivative of -5*m**3\/6 + m**2 + 5*m - 127. Give -4*n(i) + 5*s(i).\nAnswer: -9*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*d + 6750, -5*n = 3*d - 2928 - 3822. Let k be (n\/6)\/(-2 - 39994\/(-20000)). Round k to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/30)\/((-6)\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1490040 is divided by 745015?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**3 - 333*d**3 - 273*d**3.\nAnswer: -637*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*n - 2*c, 0 = -2*n - 3*c - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -9258177000 to the nearest one million.\nAnswer: -9258000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -0.3469.\nAnswer: -2.3469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 v when two letters picked without replacement from vjrnnnnrrnr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1717 and 629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 43130.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 451184 a multiple of 692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 12*q - 2. Let j(p) = -p**2 + 10*p + 2. Let h(v) = 6*j(v) + 5*w(v). Let u = 0 - 2. What is h(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/29 - (-18 - (-18986)\/1392) and (-2)\/40*202\/3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323*v + 333*v = 7590. Let z = 759 - v. Solve 16*j - 13*j + 9 = z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -92, 0.02.\nAnswer: -92, -20, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 29\/1826165 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -15. Let m = 3008 + -21055\/7. Which is the closest to j? (a) 0.3 (b) -2\/13 (c) m (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92126, -88250, -84374, -80498, -76622?\nAnswer: -72746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 8:13 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1000310 + 3310?\nAnswer: -331000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -14632\nAnswer: 27\/14632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 15*b**2 + 18*b - 98. What is y(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6558 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -37850 divided by 5?\nAnswer: -7570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -5, -9, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 6*d**2 + 10*d - 2. Let s be (-1 - 6)\/((0 + -2)\/2). Determine b(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1319*j**2 + 4 - 9055*j**2 + 0 - 4.\nAnswer: -7736*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/893 and 43\/18183.\nAnswer: 854601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 9518 + g - 85*g**2 - 9518 in the form d + s*g**2 + f*g and give s.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 960*y + 2080. Let n be c(12). Calculate the greatest common factor of 136 and n.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**4 - 2*u**3 - 2*u + 15. Let w(z) = 14*z**4 - 11*z**3 - 11*z + 76. Let q(h) = 11*s(h) - 2*w(h). What is the first derivative of q(y) wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 3\/79, -1, 2056.25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -47 - -6 - -17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*c**6 - 6784*c**4 + c**2 - 8043*c + 2 wrt c?\nAnswer: 9120*c**3 - 162816*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 7*w + 3*q - 339, -q = -3*w + 238. Calculate the greatest common factor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60179 + 451\nAnswer: -59728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmmxxfmtfxm. Give prob of picking 1 t and 2 m.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a. Let k be 0*((-20)\/(-8) - 3). Let l(s) be the second derivative of 1\/3*s**3 + 0 - s + k*s**2. What is l(g(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 20*m**2 - 11*m - 26. Let o(s) = 7*s**2 - 4*s - 9. Let b(i) = -6*a(i) + 17*o(i). Let t = -48939 - -48943. Calculate b(t).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5584188 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60383?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/8)\/(4\/40). Suppose 5240 = a*h + 355. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -4*g - 692. Let q = g + -26. What is q rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/36*24\/(-2))\/((-548)\/16029)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5.47641 (b) -0.051 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -987, -1019, -1071, -1143, -1235, -1347?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1370166 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + j - 1. Let l(w) = 7*w**2 + 7*w - 7. Calculate 7*h(r) - l(r).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 416, 788, 1146, 1484, 1796, 2076?\n\"Answer: -i**3 - i**2 + 382*i + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 at most -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9588304 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*g + 82*g - 414*g + 86*g + 82*g + 86*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -1\/80*a**6 - 3\/40*a**5 + 0 + 0*a**3 + 2*a**2 - 1\/8*a**4 + 0*a. Factor v(f).\nAnswer: -3*f*(f + 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32729732 by 6.\nAnswer: 16364866\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*h + 0*h = 1, 3*k - 2*h - 19 = 0. Solve 3*p = 17 - k for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 4*r - 7. Determine w(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25168 - -42355. List the prime factors of l.\nAnswer: 3, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**2. Let o(j) = -15*j**2. Let l(w) = 6*o(w) + 11*z(w). Let n(g) = 2*g**2. Determine n(l(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 28. Calculate s(-3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2789537590 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 725 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 130485578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 9*q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 10. Suppose z - 3 = -c. Let h be 1\/((-3)\/(-6)) - -2. Sort z, -1, h in decreasing order.\nAnswer: h, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -34552?\nAnswer: 34566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5950 divided by 7?\nAnswer: -850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 121?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1 - 38*r + 2 + 30*r - r**2. Let m(p) = p**2 + 7*p - 1. Determine -4*j(f) - 5*m(f).\nAnswer: -f**2 - 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 36*p + 257 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x - 3. Calculate h(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 15. Let v be y(9). Let m(k) be the third derivative of 0*k - 1\/60*k**5 + 0 + 1\/24*k**4 + 1\/120*k**v + 1\/2*k**3 + 5*k**2. What is m(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 2*n + 2*n - 1)*(-4*n**2 - 2*n**2 - 2*n + 7*n**2).\nAnswer: -4*n**3 + 7*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (4 - 2)) + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 0*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 3*p + 4. Let f be (-35)\/(-14) + (-26)\/4. Let v be ((-28)\/(-20) - 2)\/(f\/(-20)). Give x(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -606137 + -3?\nAnswer: -606141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-90) - (-583)\/(-9). Let v = 23 - i. Suppose -4*b = 5*w - w - v, 2*b - 68 = -3*w. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 115213.1ml?\nAnswer: 115.2131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2315 - 6793 = 3*h - 337*s, -33 = 10*h - 8*h - s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173915?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2715\/7 or 389?\nAnswer: 2715\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 339 + -180. Let q = n - 0. What is the tens digit of (q\/(-6))\/(2\/(-8)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 times 0.9?\nAnswer: -222.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4)*304\/12. Let n(t) = 2*t + 40. Let p be n(-20). Suppose p = 9*z - 12 - 42. Is z greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n - 5*q = 14, 3*n - 3*q - 18 = 0. Let p be (2877\/(-12))\/(n\/8). What is the tens digit of p\/(-21) + (-2)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (473\/(-26015))\/((-18)\/8100)?\nAnswer: 90\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4678?\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.87 - 6.17. Sort p, -7, 4, 4\/7 in ascending order.\nAnswer: -7, p, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 16*x + 10*x - 39 = 42*x - o, 0 = 47*x + o + 377 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 7:17 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x - 0. Let f(v) = x*v - 1 + 1 - v. Let u(p) = -2*p**2. What is u(f(n))?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2 + 4*l - 28. Let v(z) = 2*z**2 - 3*z + 27. Let c(g) = 3*q(g) + 4*v(g). Let r(w) = -2*w**2. What is c(r(b))?\nAnswer: -4*b**4 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1647, -1651, -1675, -1725, -1807, -1927, -2091, -2305?\n\"Answer: -a**3 - 4*a**2 + 15*a - 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3161 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -3334241?\nAnswer: 3334222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0975873 hours in nanoseconds?\nAnswer: 351314280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 20*g**2 + 6*g + 4. Let i(j) = 7*j**2 + 2*j + 1. Calculate -6*d(f) + 17*i(f).\nAnswer: -f**2 - 2*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 437, 921, 1405, 1889, 2373, 2857?\n\"Answer: 484*g - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 7*f - 25. Let c = 26 - f. Solve -o + 0 = -c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3, 4, 4.5, -1.4 in ascending order.\nAnswer: -1.4, 1\/3, 3, 4, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -11) + -10 + -1 + 6\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1328 - 5473\/4. Suppose 0 = 2*l + 3*l - 200. Let z = l + x. Which is the closest to -1? (a) 4 (b) z (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -16. Solve -y = r*f - 2, 2*f = 5*f + y - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726073347 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17618 divided by 6?\nAnswer: -8809\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 25*j**2 + 118*j - 465. Determine t(4).\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19294369 is divided by 2756337.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -8*j**4 + 89446*j**3 + 5957066*j**2 + 43232540*j + 10437216 = 0.\nAnswer: -58, -8, -1\/4, 11247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*j - 210962 = -217031 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 17 = 6*t - d, -4*t = -2*d + 18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -549 - -575. What is the remainder when 67 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 5*q + 2*c - 71, -c + 4 = q. Put 4, -3, q, -1, -6 in decreasing order.\nAnswer: 4, q, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 55 = -23*x, 229*x + 9*i = 447*x - 220*x + 4*i - 42 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*p = -1, 3*p = 4*i - 4 + 3. Is 1 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - r. Suppose r = p - 19 + 7. Suppose 5*w = 2*w + p. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/28 + (-4)\/14. Let u = 0.34 - -0.06. Let c = u - 0.4. What is the third smallest value in c, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -126, -123, -124, -129, -138, -151, -168?\n\"Answer: -2*d**2 + 9*d - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 3*y**2 + 17*y + 7. Let z be p(3). Determine n, given that 0 + 3*n**2 - 2*n - 3\/2*n**3 + 1\/4*n**z = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 5*f + 50 = 0, f + 20 = 2*s + 5*f. Solve -2*a = t - s, 30 = -3*a + 8*a + 5*t for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38311844 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11844, -11849, -11854, -11859, -11864?\nAnswer: -11869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4024400?\nAnswer: 2, 5, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/6 (c) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -505 and -0.869.\nAnswer: -505.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10\/8 + 66\/88\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o + 23557 = 23197 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6 + 2 + 3 + d. Let z be f(1). Find j, given that 2\/3*j**2 + z*j - 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 9*n**2 + 4*n + 7. Let f(j) = 10*j**2 + 5*j + 8. Determine 4*f(m) - 5*x(m).\nAnswer: -5*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -372504 times -0.033\nAnswer: 12292.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, -179, -767, -1941, -3905, -6863, -11019, -16577?\nAnswer: -23741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 187. Let x be u(-36). What are the prime factors of 0\/x - -1260 - 0\/(-2)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-140)\/16 - -4)\/((-2)\/56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -423 (b) -4881 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 - 158. List the prime factors of (q*(-10)\/(-15))\/(1\/3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 677 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/25 and 79\/5655.\nAnswer: 28275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -111*p - 5862. Let g be h(-53). Solve 4*j = 4*u + 3*j + 1, -u = 4*j - g for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2392117\/11 + -217745. Let l(r) = -35*r**3 + r - 2. Let n be l(2). Let i = z - n. Sort i, -2\/5, 2.\nAnswer: -2\/5, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 - (-31 + -10 - -33)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + sqrt(208)*-6 - sqrt(208))\/sqrt(8) - sqrt(26) - (sqrt(234)*3 + sqrt(26)))\/(4*sqrt(242) + sqrt(2) + sqrt(18)\/(4*sqrt(9))).\nAnswer: -68*sqrt(13)\/181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3 = -2*i - i, 3*i + 2 = 4*t. Let j be 4\/(-14) - 33\/7. Let q be ((-8)\/50)\/((-12)\/210*7). What is the third biggest value in q, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -464\/4607299 or 0?\nAnswer: -464\/4607299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 - 50*r**2 - 68*r - 53. Let w(b) = 2*b**3 - 25*b**2 - 34*b - 26. Let p(f) = -3*v(f) + 5*w(f). Is p(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4028 + -848. Let i(u) = -u**2 - 2153. Let d be i(0). Let c = x + d. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, z: 1, r: 2, u: 1, e: 3, g: 2}. Give prob of picking 1 r and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, and 2 y when four letters picked without replacement from dgqddydddrddrj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 + 9*f + 3. Let n(l) = 78*l + 1 + 84*l - l**2 - 311*l + 78*l + 75*l. Determine -7*n(q) + 3*r(q).\nAnswer: -2*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - -3*(sqrt(136) + sqrt(34))) + ((sqrt(1224) - sqrt(34)) + sqrt(34))*-2)\/(-5*sqrt(90)\/(sqrt(30)\/sqrt(6))).\nAnswer: 2*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 843961555 to the nearest integer?\nAnswer: 29051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 3136811.\nAnswer: -9410433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**10*t*t\/(((t**(3\/11)\/t)\/t)\/t)*t*(t\/(t*t**8\/t))\/(t*t**(-9)) assuming t is positive.\nAnswer: t**(184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-1 - -1) + -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8282\/(-82))\/(54\/(-12)))\/((-4)\/72*4).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x - 7*x + 11*x = 36 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -15*s**3 + 201*s**2 + 642*s - 288 = 0.\nAnswer: -3, 2\/5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**30)**(-25)*h**(-3\/2)\/h*h*h**20)**(-48) assuming h is positive.\nAnswer: h**35112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -261, -403, -643, -1005, -1513, -2191?\nAnswer: -3063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 5*t = -3*n + 15, 5*n + 4*t = 16. Suppose -5*x = -3*z - 30, n*x + 13 = 5*z - 10*z. Solve 5*c + 2 = -x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h + 84*h - n + 3 = 0, 39 = -h + 20*n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/((c\/c**(-1\/3))\/c))**(-2\/25) assuming c is positive.\nAnswer: c**(2\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((k + k + 0*k)*(1 - 1 + 2) - 2*k + 5*k - k)*(-1229*k**2 + 850*k**2 + 843*k**2).\nAnswer: 2784*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48859, 48955, 49061, 49183, 49327?\nAnswer: 49499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -1. Suppose n - 50 = -c*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -126 + -3 + (-1993 - -2127)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/24)\/(58\/12 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -84*g**2 + 1\/3*g**3 - g + 90 - 13\/12*g**4. Differentiate c(q) with respect to q.\nAnswer: -26*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 42*r = 37*r + 10, 0 = -3*k + r + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 27 + 22 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 13. What is the remainder when ((-4)\/6)\/(8\/(-132)) is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 28 = -15*j. What is the greatest common divisor of 33 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 16. Let x(t) = -79*t + 1269. Let p be x(16). Solve -2*h + 1 = -3*k + 11, p*k = -z*h - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.02 + -0.77. Let o = -6.789999426 - b. Round o to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3795276, -3795134, -3794978, -3794802, -3794600?\nAnswer: -3794366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2448\/(-2958))\/((-4)\/58)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 2. Let t be m(-5). Let o(i) = 138*i - 2068. Let h be o(15). Solve -u - h*y = -6, -u - 3*y = -0*u - t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, o: 1, u: 3, i: 4, e: 1}. What is prob of sequence oi?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:50 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -2. Let j = w + 3. Let m = 617\/20 - 125\/4. What is the smallest value in 0.5, j, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.6 * 18.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4 = -1612*m + 1608*m, 5*l = -26*m - 176 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22384 - 22384.2588. Round f to three decimal places.\nAnswer: -0.259","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4\/1 + -1. Suppose -m - s = m. Let q(t) be the first derivative of -t**3\/3 - t**2\/2 + t + 2. Let j(k) = k**2 + 2*k - 3. Calculate m*j(l) - 3*q(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 1379\/218?\nAnswer: 1379\/218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 2*r - 1. What is the lowest common multiple of n(-1) and (-74)\/(-7) + (-44)\/77?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000174001613 rounded to 7 decimal places?\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/3 (b) -1224 (c) 1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26229 = -41*a + 26803 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*r = -9, -2*w + 4*r = -3*w + 15. Let n be (1 + -1)\/(-7 - -6). Let z be 11\/(-22)*n\/(-1). Is z > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -851.\nAnswer: -5\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/n**3)*n)**(-1\/46)*(n\/(n**(-4\/7)*n*n))\/((n*n**(1\/2)*n)\/n) assuming n is positive.\nAnswer: n**(-649\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 7 = -2*w, -3*w + 12 = -3194156*t + 3194152*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 249248 - 85?\nAnswer: 249173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 2857. Let a(d) = -2*d - 39. Determine f(a(i)).\nAnswer: -4*i**2 - 156*i + 1336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11082079 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342486 and 1740732?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 27 = 17. What is the greatest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 3*j**5\/10 + 135*j**2\/2 - 93*j - 108. Let p(r) be the first derivative of n(r). What is the first derivative of p(x) wrt x?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 >= -180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**6\/10 + 13*d**4\/12 + 12*d + 19. Let a(c) be the first derivative of q(c). Find the third derivative of a(r) wrt r.\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85049 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**2 - 5*x**2 - 125 + 9*x + 3*x**2 + 109. List the prime factors of n(5).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -1113, -1716, -2359, -3048?\nAnswer: -3789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**3\/6 + 53*h**2 + 173*h + 3. Let w = 3 + -3. List the prime factors of b(w).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {a: 3, p: 7, j: 1, c: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 - 1 = -3*s, 4*x + 5*s = -5. Suppose g + 3*g + 8 = x. Suppose -3*q - 1 = -4. Which is the second biggest value? (a) -0.2 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393472.\nAnswer: 2, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2976 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/1*-7*(-15)\/(-140)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -196744 and -0.2782.\nAnswer: -196744.2782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35509\/7 - 5073. Which is the fourth smallest value? (a) r (b) -0.2 (c) 54 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158473806 divided by -2?\nAnswer: -79236903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 33 + 6\/(-4)*2. What is the remainder when 1\/(-5) + 216\/d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 180 = -4*v, 8*s - 4*s = 2*v + 90. What is the common denominator of -151\/30 and 2\/(-3) + (-132)\/v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/8711 - 227442\/2081929. Let b = 10324\/2629 + s. Calculate the common denominator of ((-498)\/(-18))\/(-2*1) and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 3*m - 3*m - 7*m**2 + 84 + 10*m**2.\nAnswer: 3*m**2 - 9*m + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-15))\/((7 - 6)\/(-1)). Which is the closest to k? (a) 4 (b) -0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 4*z + 24, -6*z - 4*s + 23 = 55 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2517047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 + 158 = 2*w. Let c = w - 17. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - z**2 - 18*z + 8. Let h be l(-4). Suppose 0 = j - 3*j. Let c = j - -4. Solve a + 2*p - 3 = h, a - 27 = 6*a - c*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 933*n - 24. Let h(s) = -935*s + 18. Determine 4*h(r) + 3*x(r).\nAnswer: -941*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 54 = -6. Let f = -2 + 5. Calculate the greatest common factor of s and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - l = 1, -20*l = 2*n - 16*l - 14. What is the tens digit of 7 + (7938\/n)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-95)\/57*6\/(-85)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4526 - 2173. What is the highest common divisor of j and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 15. Suppose 2*c + 232 = 6*c. Suppose -5*g + 13 = c. Let l be u(g). What is the greatest common divisor of l and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 40, 9 in ascending order.\nAnswer: -2, 9, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -29 - (-645)\/(-75)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*d + 5*x - 270 = 21*d, 3*x - 33 = 3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -v + 4*m - 19, 2*m = -2*v + 12. Let n be 42\/(-15) - (-36)\/(-30). Put n, v, -17, -5 in descending order.\nAnswer: v, n, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1321\/90 + -133\/9. Suppose a + 3*a = -2096. Let m = -1498\/3 - a. Find the common denominator of m and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.3. Let g(r) = r**3 + 4*r**2 - r - 7. Let c be g(-3). What is the third smallest value in c, 0, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9084 by -4542.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 + -0.6. What is the nearest to 0 in 0, d, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*a**2 + 2*a + 0*a - 2*a to the form n*a**2 + x + z*a and give n.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22552 is divided by 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372156, 372111, 372066, 372021, 371976, 371931?\nAnswer: 371886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1477 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d = -42*d + 186320. What are the prime factors of d?\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6891 - 31441 = 38*u + 1768*u + 8624 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1368791299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -7 (b) 21 (c) 4 (d) -0.039 (e) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*r - 32*r = 455. Let s be -64 + r - (-7 - 0). Solve 0 = 10*k - s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 - 29. Suppose -5*h = z, r + 150 = 6*r + 4*h. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 5*h**3 + 3*h**3 - h**3)*(1 - 1 + h**2).\nAnswer: -3*h**5 + 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 378840.\nAnswer: 2, 3, 5, 7, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9*t. Suppose -w - 2 = w. Let o = 6 + w. Suppose -o*m - 25 = 4*c, 3*m - 3*c = 1 + 11. What is l(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 27 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 5*o + 7. Suppose 0 = q + 10. Let t be 2\/1 + (q - -3). Let u be m(t). Solve 0 = 3*p - u - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 2*h = 4*o - 6, 3*h = -2*o + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 9*m**2 + 9*m - 11. What is y(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8088 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 5. Let l be i(0). Suppose l*w + 6 = 1. Let f be (-2)\/(-1)*9*3\/783. Do w and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 - 171\/(-6). Let c = -20 + 90. Calculate the highest common divisor of o and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56 - -b7?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143252444 - 2?\nAnswer: -143252450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + 2cc9a0?\nAnswer: 2cc987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 5:28 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 141*l - 3. Let h(g) = -268*g + 7. Let a(q) = 3*h(q) + 7*p(q). Let s(v) = 2*v. Calculate a(s(f)).\nAnswer: 366*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 480.816g in tonnes?\nAnswer: 0.000480816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 + 3*l + 10*l**2 - 22*l**2 - 150 + 6*l**2.\nAnswer: 2*l**2 + 3*l - 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26\/32703 or -1?\nAnswer: 26\/32703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1367726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*d - 18*d + 9*d)*(0*d - 8*d + 0*d + 2).\nAnswer: 280*d**2 - 70*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3404212 is divided by 126072.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in 1.19, 1\/22, -0.5?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8783*p**2 - 8895*p**2 - 6776*p**2 + 22241*p**2.\nAnswer: -2213*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66 + -55. What is the least common multiple of 1 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8\/29, -16677 in increasing order.\nAnswer: -16677, 8\/29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 16*j - 81. Give p(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2631622*x**3 - 5*x**2 + 169554871*x wrt x.\nAnswer: 15789732*x - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.03032 rounded to the nearest ten?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*u**4 - 25*u**3 + 725.\nAnswer: -40*u**3 - 75*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5, n - r = 5*n - 17. Let s(y) = y**2 - 35*y - 111. Let q be s(38). Solve -5*f - q*z - z = -27, n*z - 24 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b = -14*b - 156 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 1024*h**7\/21 + 1343*h**4\/4 - 1607*h - 1. Find the third derivative of q(x) wrt x.\nAnswer: 122880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 1)*(49*k - 30*k**2 - 49*k).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -6*o - 20. Let w = o + 10. Suppose 0 = -2*d - 5*x - 14, 4*d = -4*x + 5*x + 38. Calculate the least common multiple of d and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*2*(((sqrt(252) + 1 - sqrt(252)) + -4 - (sqrt(252) + (sqrt(252) - -1*(sqrt(252) + -2)) - sqrt(252))) + -2) + 4)**2.\nAnswer: -146176 - 9216*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, 4, -0.4, -1.49378, 1\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -5\/3 (b) 2 (c) 1\/5 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*n - z - 5, -4*n + 4*z + 8 = 0. Suppose -4 = -3*g + 2. Suppose 13 = p - 5*w, -g*p + 3*w = 8*w - 26. Solve -n*j = -p - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69.5 + 28.\nAnswer: 97.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**(-33)\/((l**(-2\/7)*l)\/(l*l*l**(4\/9)*l*l)) assuming l is positive.\nAnswer: l**(-3923\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4785\/11422 or -1?\nAnswer: 4785\/11422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 1215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o - 1. Let i be a(-1). Suppose -4*z - i = -164. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -40*g. List the prime factors of r(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o - 14. Suppose 4*v - 5*v = -2. Suppose 4 = 2*i - v. Let q(a) = 2*a + 5. Let c be 4\/(10\/(-4) - -3). What is c*q(m) + i*s(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 <= 7.74?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o + 17. Let z(h) = 8*h + 17. Let g(x) = -6*f(x) + 7*z(x). What are the prime factors of g(7)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1953280292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 2, m: 1, t: 1, p: 2}. Give prob of picking 1 t, 1 e, and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 301898 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3)*r)**43)**(-31) assuming r is positive.\nAnswer: r**(-6665\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 73294 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 8, 2*l = -5*i - 0*l - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r - 34*r - 511097 = 0. List the prime factors of r.\nAnswer: 16487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-232))\/(2116\/(-22218) + 10\/56).\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**4 - 4*a**4 + 6*a**4)*(0*a - 5*a + 3*a) + (3*a + 5*a - 4*a)*(0 - 2*a**4 + 0).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96162 and 230582.\nAnswer: 21444126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(-1)*q*q*q)**(-39)*(q**(-1)*q)**(-33) assuming q is positive.\nAnswer: q**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 3:33 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32472 - -32482. Sort -7, 7, 2, m in ascending order.\nAnswer: -7, 2, 7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 3 - 15641) + 2. Let u = -6119 - t. Let o = 209411\/22 - u. Calculate the common denominator of -39\/14 and o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000705525928 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92776 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006791352 rounded to seven dps?\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19373639 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*a - 10956, -3*a + 131*y - 126*y + 6594 = 0. Does 46 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1, 2\/5, 891493 in ascending order.\nAnswer: -1, 2\/5, 0.5, 891493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99151\/6, -0.1, -5.\nAnswer: -99151\/6, -5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-1772)\/((-8)\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*y - 69*y**2 - 65*y**2 + 129*y**2 + 2*y - 2*y + 2*y**2 + 0*y + 2*y**2 + 0*y + (y**2 + 5*y**2 - 4*y**2)*(-3 + 1 + 4) + 2*y**2 + y**2 - 5*y**2.\nAnswer: y**2 - 24*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttft when four letters picked without replacement from tzjttbttbtbftbzbtb.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 23*n - 77. What is the remainder when 29 is divided by l(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 5, 0.208214 in decreasing order.\nAnswer: 5, 0.208214, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (14 - 4)) + (12 - 21 - -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 96582 and 18?\nAnswer: 289746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 649500 and 650?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 8 + 7 + 4.\nAnswer: 3*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, j: 1, n: 1}. What is prob of sequence cn?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 3*f. Let i be (-9)\/(-54) + 25\/(-6). Determine m(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 27 + 9*k + 28 + 130*k. Is n(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**3\/4 - 1095*l**2\/4 + 79935*l\/4 - 1945085\/4 = 0. What is l?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 8:25 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 times -871?\nAnswer: 58357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 445 - -10773a?\nAnswer: 108084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-272)*(-174)\/(-145))\/((9\/(-4))\/(-1)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21300 is divided by 175.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10322302 - 2023322?\nAnswer: -13012230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 1, r: 2, x: 1, f: 1, h: 1}. What is prob of picking 2 r?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1251 divide 3409746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 61?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-49)\/(-4) + (-2)\/8. Suppose 2*u - 5*u + z = 0. Let r be ((-5)\/((-35)\/(-1)))\/(2\/(-7)). Which is the biggest value? (a) u (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5028876 and 17604.\nAnswer: 15086628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.2 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**5\/20 - 5*s**4\/4 - 2*s**3 + 43*s**2\/2 - 30*s. What is the smallest common multiple of 25 and m(-14)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-27)\/(-2))*(-6 - -4). Solve h*k + 16 = 31*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-5))\/((-3246)\/(-2705)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -5, -4, 20, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 117849 + -25?\nAnswer: 117824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - 3\/(2 + 1). Suppose 4*q = 4*y - 20, -2*y - q = -h*y + 35. Calculate the highest common divisor of 80 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**2 - 19*i**2 + 45*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78411 is divided by 12423.\nAnswer: 3873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + -1.6. Let r = -4 - -7. What is the third biggest value in r, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22241042 (base 6) in base 4?\nAnswer: -2210211302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -5*d**4\/12 + 2*d**2 - 8*d. What is the derivative of m(z) wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14943?\nAnswer: 3, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 4*w + w)*(-1 + 4 - 6) + 3*w + 2*w - w in the form r*w + s and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, h: 4, d: 3, x: 5, z: 1, q: 1}. Give prob of sequence xdq.\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**5\/60 + 2*a**2. Let u(h) = h**2. Let w(f) = 4*k(f) - u(f). Let g(s) = -539 - 2*s + 539. Give g(w(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 3*u**2 + 4*u + 1. Let p be z(2). What is the closest to 9 in -0.4, -0.5, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 15*i**2 - 11. What is g(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-4\/3)*w**3\/w assuming w is positive.\nAnswer: w**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 43*i**2 + 38*i + 64. Let t be v(-44). Calculate the greatest common divisor of 48 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 10:24 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0873488 and 67.5423.\nAnswer: 67.6296488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 6 + 2*k - k + 5. Let n(f) be the third derivative of 1\/3*f**3 + 25*f**2 - 1\/12*f**4 + 0 - 1\/60*f**5 - 1\/60*f**6 + 3*f. Give 2*c(q) + n(q).\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 1, -5, -35 in decreasing order.\nAnswer: 1, -5, -35, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 736, 1916, 3316, 4936, 6776?\nAnswer: 8836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*k, 0 = -t + 2*k + 2 + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vkdvvvdddd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 25. Let j be u(14). What are the prime factors of (-113 - 1)\/(2 + j + -6)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 12*v**2 - v - 3. Let q be k(-12). Let n be (15\/(-9))\/(-5)*q. Which is the third biggest value? (a) -4 (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -1\/5*s**5 - 7\/2*s**6 + 0*s**4 - 88 + 0*s**2 - 16*s**3 + 0*s. Find the third derivative of j(x) wrt x.\nAnswer: -1260*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7631708 is divided by 70014?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110453547.\nAnswer: 3, 29, 37, 34313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(1584) + -1)*-1)**2 + -1 + -2.\nAnswer: -24*sqrt(11) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 33490608?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*y + 74*y + 12. What is the smallest common multiple of 10 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 = 84*x - 109*x. What is the remainder when (-20)\/(-6)*1134\/35 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3798 = -6*h - 3732 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -83351403 and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) + 3 + sqrt(7) + sqrt(14)\/(sqrt(2)*1 + sqrt(2)) + sqrt(252)\/sqrt(4)*-1 + sqrt(63))**2 + 1.\nAnswer: 15*sqrt(7) + 215\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, z: 4, q: 12}. What is prob of picking 1 z and 2 p?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + o**2 - o + 8. Let z(j) = 2*j + 6. Let r be z(-3). Give g(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 40 (b) -6\/35 (c) 7\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p = 4. What is the second biggest value in 4\/7, p, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(-8\/9)\/((((k*k**(-3\/5))\/k)\/k*k*k*k)\/k**(-4\/7)) assuming k is positive.\nAnswer: k**(-69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (39\/6)\/(3\/12). Suppose -10*p + z = 3*p. Let 10*t + 8 - 15*t - p*t**2 + 11*t = 0. What is t?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1196996325?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*(n**(-2\/3)*n)\/n)\/n)\/n)**(-7)\/((n*(n\/n**(-18\/7))\/n*n)\/(n*n*n**(-21)*n)))**(-50) assuming n is positive.\nAnswer: n**(11450\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -139*k**5\/20 - 23*k**2\/2 - 4*k + 24. Find the first derivative of h(m) wrt m.\nAnswer: -417*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 8*v - 8 = 0. Solve -2*b = -v + 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 75*r**2. Let n(l) = -l**2 + 2*l**2 + 110004*l - 110004*l. Determine n(v(u)).\nAnswer: 5625*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krrokwdkwkso. Give prob of picking 2 r, 1 d, and 1 o.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**2\/11 + 2160*q\/11 - 194400\/11 = 0.\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -144.6 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -740? (a) -4 (b) -0.2 (c) 18 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*v**5 - 6*v**4 - 15555*v**3 - 182697453*v wrt v.\nAnswer: -1460*v**3 - 72*v**2 - 93330*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 19. Suppose -162*m = -139*m - 851. What is the remainder when 49 is divided by b(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1018\nAnswer: 5090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 43 = 177. What are the prime factors of (-1)\/3 - d\/(-33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Let s be (12\/10)\/(((-27)\/(-10))\/(-9)). What is the remainder when s + (-18)\/(-5) - (-496)\/40 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 10 - 4)*(-5*h + h - 2*h) to t*h + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(2*(-3)\/3*-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -64 * -0.0562659\nAnswer: 3.6010176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 60. Let z be (x\/(-36))\/((-1)\/28). Solve -z - 13 = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3227 - 3200. Suppose 5*q - 36 = -4*i + 504, 4*q + 2*i - 432 = 0. What is the greatest common factor of l and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1423014 and 1311978.\nAnswer: 2922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 13682.42442ns?\nAnswer: 0.00000000002262305625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3 = -w, -420*b + 209*b + 212*b - 2*w = 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)\/(a\/((a*a**(-5\/2))\/a))*((a*a**(-2\/7)*a*a)\/a*a)**(-11\/5))**18)**(-22\/5) assuming a is positive.\nAnswer: a**(214434\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 1. Let b(y) = -16*y + 22. Suppose -13*a + 15*a - 2 = -3*u, -u + 6*a + 34 = 0. What is u*b(c) - 88*i(c)?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5051, -35, 4, 5, 3, 27 in ascending order.\nAnswer: -5051, -35, -3, 3, 4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232775.\nAnswer: 3, 5, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**5\/4 - 83*s**4\/2 + 3733*s**3\/4 - 3283*s**2 + 3931*s - 1540 = 0 for s.\nAnswer: 1, 2, 22, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -32, -18.316, 4, 0.5, 3, -5?\nAnswer: -18.316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11341 (base 5) to base 15\nAnswer: -3b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/4 - 4\/16. Is a greater than or equal to 15\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*(u**(-29)*u)\/u*u)\/(u**(-21)*u))\/(u**(-9\/2)*u**(2\/41)) assuming u is positive.\nAnswer: u**(-45\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.645 and -5645.\nAnswer: -3641.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 38 (b) -5 (c) 256 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 1280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183409083.\nAnswer: 3, 11, 13, 67, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d**4 - 3*d**3 + 281 - d**4 + 315 - 67 wrt d?\nAnswer: -20*d**3 - 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 0. Let x = 10 - 16. Let g = x - z. Which is the third smallest value? (a) -0.2 (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*v**3 + 6*v**2 + 38*v**3 - 6*v**2.\nAnswer: -69*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/1768*17*-13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30776.\nAnswer: 2, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 39026*p - 1248848. What is r(32)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2796276, -5592546, -8388816, -11185086, -13981356?\nAnswer: -16777626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -3*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 14*g**2 + 4*g - 53. Let b be u(14). Solve 4*n - y + 21 = 0, 0 = 5*y + b - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5774*d - 409936. Determine h(71).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 3*c - 228. Let l be (-24)\/48 + (-99)\/6. Let z be t(l). Calculate the highest common factor of z and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - -8) + 0 - 7) + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 + 42. Suppose -11*w - 16 = -b*w. Suppose -6*v - 9 = -141. What is the remainder when v is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/2*o**4 - 12*o + 0 - 54*o**2 - 45*o**3.\nAnswer: -3*o*(o + 2)**2*(7*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 117, 232, 345, 456, 565, 672?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70 + 240?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237797*o = 237841*o + 748 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11934900 by -2980.\nAnswer: 4005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8.2 in -5621, 0.1, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 71*a**3 + 14*a - 35. Let j be v(2). Calculate the highest common divisor of j and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 + 104932632*z - 209865276 = 0.\nAnswer: -34977546, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/9 - (-16)\/72. Let w(g) = -g**2 - 6*g - 7. Suppose 4*q = -16, 3*m + 6*q + 31 = 2*q. Let p be w(m). Sort -5, h, p.\nAnswer: -5, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/1*6\/9. Suppose 2*v + w - 6 = 5*w, -w = 1. Differentiate k - v - 6 - n**2 with respect to n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9377256.\nAnswer: 2, 3, 7, 55817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1643125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 635 divided by 127?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*l + 3, j + 5*l = 2*l + 10. Let b be 2 - (-92 + (-3 - -6)). What is the greatest common factor of j and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/12 and 3\/(-20)*(-26)\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -988 + 4*m + 988 + 190*m**2 - 48*m**2.\nAnswer: 142*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 4*p + 3. Let d be a(-3). Let x(o) be the second derivative of 1\/18*o**3 + 0 + 1\/6*o**4 + 0*o**2 + 2\/45*o**d + 3*o + 3\/20*o**5. Factor x(f).\nAnswer: f*(f + 1)**2*(4*f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 604, 1211, 1818, 2425, 3032, 3639?\nAnswer: 4246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 4\/519, -11013 in increasing order.\nAnswer: -11013, -2\/5, 4\/519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*h + 82*h - 598235 + 598223 - 2502*h**5 + h**3 - h**3 wrt h.\nAnswer: -50040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 29 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - -4) + 2 - (-2 + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 6*y - 3*y)*(-56 + 81 - 52) - y - 3*y + 5*y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10*790\/6952)\/(12\/(-32)*-12)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 9. Let t = -5 - p. Let v be 2\/(-4) + -5 + t. Which is the closest to 1? (a) 4 (b) v (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 9*b**2 - 11*b + 12. What is z(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**1))\/s**(-2\/11))**8\/((s*s**(-4))\/(s*s*s\/(s**(-2)*s)*s))**(-2\/41) assuming s is positive.\nAnswer: s**(-6736\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**4*u**3 + 426*j**4*u**2 - 64*u**3 - 4*u wrt j.\nAnswer: -4*j**3*u**3 + 1704*j**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 266\/10 + -30 - (-146)\/(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 88*b + 1. Let r be w(1). Let h = 1583 + -1419. Let t = h - r. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2492 divide 10526208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 10*m**2 + 11*m - 37. Let t be g(4). Let k = t + -165. Solve 10 - k = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p**3 - 166 + 345 - 179.\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x + 41*x + 32 = 0. Solve 4*u - x = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222892 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -68 - (13 + (-11 - (15 - 16)) + 2).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x = 21*x + 208. Let r = x + -49. Suppose -3*f - 2*f + 5*t = -110, 5*f - r*t = 118. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {y: 12, o: 1, e: 3}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0877 - -0.087690038. Round l to seven decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**5 - 31507*r**4 - 34622*r**2 wrt r.\nAnswer: -60*r**2 - 756168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrt when three letters picked without replacement from {t: 6, r: 2, p: 1, x: 4, w: 4}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 2:17 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 7*l**2 - 8*l - 7. Determine t(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 - f**2 + 2*f**2)*(-2330 + 2330 + 10*f)*(-1 + 1 - 3*f) to b + u*f**3 + w*f**2 + z*f**4 + n*f and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w + 4*b - 4 = 0, -4 = 2*b. Suppose 0 = x - 1, -680 = -4*m + w*x - 251. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13348536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -271616 (base 8) in base 11?\nAnswer: -65511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + 2*z + z + (-3 + 4 + 0)*(2 + z - 2) - 85*z + 222*z + 246*z + (1 - 2 + 3)*(3*z - 2*z - 3*z).\nAnswer: 382*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-15 - (26 + -88) - 16).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2. Let g(x) = -11*x + 454. Determine i(g(o)).\nAnswer: 242*o**2 - 19976*o + 412232","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvj when three letters picked without replacement from {u: 1, j: 12, v: 1}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 5*t + 2*z = -42, 39 = 2*t - 3*z. Let o(d) = 74*d**2 - 81*d + 55. Is o(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6222221225 - 17.375?\nAnswer: -6222221242.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1541235330?\nAnswer: 2, 3, 5, 5708279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 + 0.22. What is the third biggest value in -4, 1, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 30*u + 43*u + 487, -40 = s + u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**2\/2 - t - 1. Suppose -3*p - 1 = 4*y + 10, p + 1 = 0. Let q be u(y). Solve -13 + q = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4563658418?\nAnswer: 2, 11, 293, 707983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 861220918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, e: 1, j: 1, i: 5}. What is prob of picking 2 x and 1 j?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1565, 6281, 14141, 25145?\nAnswer: 39293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1900000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -86. Let q = u + -41. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*p - 10 = -7, 2 = -2*f - 3*p. Solve 9*x - f*x - b = 12, -4*x + 5*b = -28 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 22 = -2*l, -l + 0 - 17 = -w. Suppose 0*r - 2*r + w = 0. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -739.952875 + 740. Let h = 0.023 - w. Let l = h - -0.024. What is l rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2. Suppose q = 2*q + 5. Let v(g) = -7*g**2 - 1. Calculate q*n(m) + 2*v(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480956271?\nAnswer: 127, 11661073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-594)\/36 + 18)*8304 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(891)*3)**2 + -4.\nAnswer: 8015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 35. Let g(p) = 35. Let s(x) = 3*g(x) - 2*m(x). Let j(r) = -r**2 + r - 3. Let t be j(-3). What is the remainder when 16 is divided by s(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -6*g - 16 - 3*g + 8*g + g**2. Calculate the remainder when 319 is divided by q(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*u - 588 = 0, 2*h = -2*h - 4*u + 2360. Which is smaller: 0.2 or h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -3\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*w + 8, 3*g - 28 = -3*w + 4*w. What is the highest common factor of 40 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**3 + 25592906*w**2 - 18250489*w?\nAnswer: 6*w + 51185812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2684 * -24.\nAnswer: 30.4416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**0)**(-1\/36))**18*(o\/(o**1*o)*o*o)**(-1\/4)\/(o**(2\/3))**14 assuming o is positive.\nAnswer: o**(-127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 418*a - 1538*a + 5609*a - 1630*a.\nAnswer: 2859*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.56 + -1.44. Let s(o) = -o**2 - 6*o + 2. Let r be s(-5). Let h be 2\/2 + r\/(-5). Which is the closest to -2? (a) h (b) -2\/15 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 12:08 PM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 1119 + 2451. List the prime factors of h.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -87*k - 1830. Calculate y(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221525, -221646, -221765, -221882, -221997, -222110, -222221?\nAnswer: -222330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -31*u - 20. List the prime factors of p(-7).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2551832 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.9 - 18. Let p = 0.5 - 0.3. Let c = 11\/20 + -3\/4. Sort w, c, p in increasing order.\nAnswer: c, w, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*w - 381*w = -230*w + 1908 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z - 10. Let d be u(-8). Suppose -8*l = -d + 6. Suppose l*w + 35 = 8*w. Let g(s) = s - 8. Give g(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370133.6 litres to millilitres.\nAnswer: 370133600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.4 (b) -157 (c) 0.1 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*h**2 + h - h - 4*h**2 to the form t*h**2 + w*h + o and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = -42*j + 41*j, -4*m + 16 = j. Which is smaller: 3 or m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -51\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 2 (c) 0.3 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjvjtovttf. Give prob of picking 1 v and 1 t.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 4*j - 6. Let g be v(4). Let u(k) = k + 13. Let y be u(g). Let f = -7 + y. What is the third biggest value in 0.3, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 54*u - 109. Let m be s(29). Solve 408*d - 401*d = -m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111001100100000010 (base 2) to base 14.\nAnswer: -1c8750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 32 = -5*d + 3, -5*g + 23 = d. Suppose 0 = -d*r, 0*r - 2*r + 545 = 5*b. List the prime factors of b.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4166358339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59995114 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (525\/28)\/25 + 82\/(-88)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 2*y + 112 - 113 + 8*y**2 + 4*y**2. What is l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from {c: 1, j: 1, h: 2, f: 1, k: 1, l: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(85)*-3*-3)\/((-1*sqrt(10)*2)\/sqrt(2)))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 107884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*-2*sqrt(65) + sqrt(65) + ((sqrt(65)*-2 + sqrt(65))*-2 - sqrt(65)))\/(sqrt(45)*-5 + sqrt(1375)\/sqrt(11)).\nAnswer: 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*p - 48, -4*f + 5*p + 30 = -18. Suppose 12 = 2*n + f. Determine x so that n - x + 1\/2*x**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -550*a**2 - 11*a - 14. Let m(g) = 275*g**2 + 5*g + 6. Calculate 7*m(s) + 3*u(s).\nAnswer: 275*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {m: 1, q: 1, j: 1, z: 1, u: 2, o: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 632915271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -155, -156?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 7)*(-2)\/(-4). Suppose -u = -4*k - 19, 0 = -2*u - x*k - 2 - 0. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -y - 5*k, -3*k = -2*y + 31 + 18. What is the remainder when 39 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 360*m**3 + 352*m**2 - 360*m - 356.\nAnswer: 4*(m - 1)*(m + 1)**2*(m + 89)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2313211210 (base 4) to base 3.\nAnswer: -1102012111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 117, 2305, 2\/3, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 921, 919, 895, 837, 733?\n\"Answer: -2*x**3 + x**2 + 9*x + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/5 - 204*n**4\/5 - 2238*n**3\/5 - 7036*n**2\/5 - 264*n + 2160 = 0. What is n?\nAnswer: -90, -6, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*k**4 + 224*k - 10*k**4 + 29*k**4 wrt k.\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + 6 + -2 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -8318474800 to the nearest 1000000.\nAnswer: -8318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnvphvjpx. What is prob of sequence vh?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102022121 + -11110212201?\nAnswer: -11001120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 181021 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 1\/542, -0.4, 1, -2\/9, -1\/144?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 275.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1533015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154703 - -5.\nAnswer: -154698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1521\/65 + (-3)\/(-5). Suppose -41 = -5*n + q. Suppose 23 - n = 5*k. Solve k*f = -c - 1 - 7, 4*c + 3*f = -12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 16*u**3 + 185*u**3 + 137*u**3 - 49*u**3.\nAnswer: 289*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3048 = -8*t - 2798, -2*t + 5*q = -50 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79411?\nAnswer: 79411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k + k**3 - 7*k**3 - 3 + 0*k + 5*k**3 as i*k**3 + m*k**2 + a + q*k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 870874260 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 14406 + 4747. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y - 3. Let t(j) = -4*j + 3. Let f(q) = -5*g(q) - 4*t(q). Let x(p) = -5*p + 4. What is -6*f(m) + 5*x(m)?\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 0, -h + 9 = 2*h + 2*z. Suppose -5*b + 3 = a, -3 = -a + 2*b - h*b. Solve 0 = -a*g - 13 - 2 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 44114.\nAnswer: 44114.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 632690*d + 20014831805.\nAnswer: 5*(d - 63269)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, i: 1, n: 1, x: 5, c: 4, t: 1}. Give prob of sequence cttn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (4 - 2) - (4 + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81225 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49\/10 + 103\/45. Let v = -26\/21279 + -3737621\/319185. Let p = v + 239\/15. Find the common denominator of m and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 3*u + 4. Let z be x(4). Let g(v) = 4 - 4 - v**2 + 3. Let n be g(z). Solve -y = -0*y + 4*l + 18, -n*y - 3*l = 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 689488, 689463, 689422, 689365?\n\"Answer: -8*z**2 - z + 689497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.073 + 0.427. What is the third biggest value in 2\/11, -0.5, -9, w?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 7:29 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*g - 363*g - 131*g = -25*g + 14516 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4193468 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*c + 41*c - 191*c)*(2*c**4 + 2*c**3 - 2*c**3).\nAnswer: -130*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42620214, -85240426, -127860638, -170480850, -213101062?\n\"Answer: -42620212*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 < 2901799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apaaoopaoep. Give prob of picking 3 a.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 441542.8g to milligrams.\nAnswer: 441542800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117540768 + -0.087796?\nAnswer: 117540767.912204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 112.3 and -3.088.\nAnswer: 109.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence slld when four letters picked without replacement from {d: 4, y: 3, a: 1, t: 1, s: 4, l: 2}?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5143, -14691, -30607, -52891, -81543, -116563?\nAnswer: -157951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v - 80. What are the prime factors of l(17)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (sqrt(200) - -2*sqrt(200)) + sqrt(200)))**2.\nAnswer: -2560*sqrt(2) + 51264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2911 - 2908. What is the third biggest value in -2\/15, j, 5.3, -5, -4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2279 + 3064. List the prime factors of l.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/45*(-28)\/(-12)*(-10)\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277331937?\nAnswer: 3, 3343, 27653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/12*((-40)\/(-102))\/(-5).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 41*d**2 + 12*d - 6. Let z(r) = -35*r**2 - 10*r + 6. Let o(g) = -5*q(g) - 6*z(g). Let u(l) = -1. Let m be ((-4)\/(-8))\/(1\/2). What is m*o(b) - 6*u(b)?\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 2. Let r be d(2). Suppose f + 24 = 3*g + 2*g, -f - 18 = -3*g. What is the units digit of 4 - f\/(-1 + r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31598 - 31592. Put -4, o, -65, 4 in decreasing order.\nAnswer: o, 4, -4, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 + 57 = -3*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*v - 74*v**2 + 26*v**6 - 30*v**2 - 3*v wrt v?\nAnswer: 3120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49.021 - -49. Let w = -5.479 + n. What is w rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + (sqrt(21)\/sqrt(3) + 2 - sqrt(784)\/sqrt(7)))**2.\nAnswer: 24*sqrt(7) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.2731 rounded to one dp?\nAnswer: 36.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15346228.\nAnswer: 2, 349, 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 0.23 (b) -2\/17 (c) 0.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*n - 151*n = 432. Calculate the highest common factor of n and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -452328984.2.\nAnswer: -452328979.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4220, -8445, -12670, -16895, -21120, -25345?\nAnswer: -29570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2403875 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/70)\/(2\/154). What is the greatest common divisor of 3322 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -255571806 divided by -18255129\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 433682765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*z = 19220 - 4706 for z.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 10*f = -8. Let u(z) = 6*z**3 - 2*z**2 - 5*z + 12. What are the prime factors of u(f)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 2*n**2 + 3*n. Give a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3*q + 6*q)*(3*q**2 + 2*q**2 - 4*q**2) + 6*q**3 + q**2 - q**2.\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207 by -3.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 9*r**2 + 6*r - 35. Let w be (4 + 33\/(-6))\/(2\/(-12)). Let t be a(w). Solve -8*c = -t - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3}. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/4*(-4)\/(-20)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5634763.\nAnswer: 43, 131041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 80 = 5*p. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*f = 332. Let s = -27969 + 28550. What is the highest common divisor of f and s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4189 times 0.3?\nAnswer: 1256.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 60. Let g = n - 10. Suppose -8*m + g*m = -677. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -210 (base 4) to base 14\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.98 + -4. Let h = -0.02 - k. Let q = h + -0.0000004. What is q rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-122)\/549 + 2463\/27 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9251?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41626515 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -9 - (-16 + 14 + -16 + -2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.53 - -0.23. What is the closest to 1\/3 in 1, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0 + 3 = 0. Suppose 7 = -3*g + 5*t + 1, 3*g = -4*t - 6. Which is greater: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 55240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -49*n - 14. Is z(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24351.9453659039 plus 1?\nAnswer: 24352.9453659039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(171) + (sqrt(171) + 3 + sqrt(171))*-6)**2.\nAnswer: 1188*sqrt(19) + 21015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*n - 3*w - 37, -4*n + 5 = -5*w. Let t(j) be the third derivative of -1\/6*j**3 - 1\/4*j**4 - 1\/60*j**5 + 0*j + 12*j**2 + 0. Give t(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 207446527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.22. Let m = -4363.6 + 4364. What is the second smallest value in m, -2\/9, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1912.87686\nAnswer: 1913.87686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = c + 20. Let d(n) = n**3 - 4*n**2 - 8*n - 2. Let y be d(6). Suppose c*r - 22 = y. What is the highest common factor of r and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 83. Does 3 divide 6*4\/k*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2420 rounded to the nearest one hundred?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149557 is divided by 49233?\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -5*z + 2, r - 177 + 173 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(-6)*(5 - 768\/156). Let z(f) be the second derivative of 0*f**2 + v*f**4 + 0 + 4\/3*f**3 + 3*f. What is the second derivative of z(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 243*q - 544*q - 1175*q - 596*q + (0 + 3 - 1)*(-3*q - 2*q + 3*q).\nAnswer: -2076*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 7*x**2 + 2. Let n be w(7). Suppose n*o + 28 = 9*o. Is 3\/8 > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2328 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*r = 873*r - 426*r - 434 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 18*v**2 - v. Let d be t(18). Is (-2975390)\/(-495) + (-2)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -2\/13, 1\/4, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.098?\nAnswer: -0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273.5 - 274. Let d = 20 + -12. Suppose 4*s + d = -4. What is the closest to -1 in 5, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 + 5 + -3 + (-9 + 21 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**4 + 11*z**2 - 11*z**2 + (-22 - 11 + 22)*(z**4 + 2 - 2).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130098 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.7 - -5. Let n = r + 13.7. Suppose 6*d = -4*d + 21*d - 44. Sort d, n, 2\/11 in decreasing order.\nAnswer: n, d, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.69342128 rounded to three dps?\nAnswer: -14.693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 2*b + b + (-b + 0 + 0)*(-2 - 3 + 3))*(11*b - b - 23*b + (-3 - 3 + 5)*(-66*b + 32*b - 22*b)) to the form j + x*b + z*b**2 and give z.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 take away -0.02?\nAnswer: -563.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 291174544 - 0?\nAnswer: 291174544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/3)\/h*h)**6\/(h**(-1)\/h)**(-3\/4))\/((((h*h**(-3\/5))\/h*h*h)\/h*h*h)\/h*h**(2\/11))**(-10) assuming h is positive.\nAnswer: h**(359\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3113 = -3225. Calculate the smallest common multiple of s and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -23*s + 6. Let q(t) = 68*t - 17. Let f(o) = -17*i(o) - 6*q(o). Let w(k) = -3*k**2. Give f(w(h)).\nAnswer: 51*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1940?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 - 1 + 1 + (-2*h**5 - 2*h**5 + 3*h**5)*(2 + 1 - 2) - h**5 - 2*h**5 + h**5 + (h + 0*h - 6*h)*(2*h**4 + 0*h**4 - h**4).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*23.\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 720\/(-528)*-11 + (8 - -1)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 86*q + 4*q**2 - 86*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*a*i - 23585*a*p**2 - 34*i*p**2 + 33*i - 9*p**2 with respect to a.\nAnswer: -67*i - 23585*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8125 + -8129. Let z(q) = 5*q + 5. Let p(a) = a**2 + a + 1. Let s(l) = -p(l) - z(l). Determine s(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**3 + m - 8*m**3 - 3*m + 13*m**2 + (-11 + 11 + 6*m**3)*(-2 - 1 + 1).\nAnswer: -11*m**3 + 13*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9519.733 years in millennia?\nAnswer: 9.519733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 + x**3 + 6*x**3 + (-2 + 3 - 3)*(0*x**3 - 5*x**3 - x**3) + 3*x**3 - 43 + 43.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85918411152 + 85918226252.400002. Let g = -184900 - v. Let o = 0.4 + g. What is o rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10195 divided by 10.\nAnswer: -2039\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y + 109 + 382 - 3*y.\nAnswer: 29*y + 491","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000277705 rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**3\/3 - 9*c**2\/2 - 17*c - 46. Calculate f(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -1342215?\nAnswer: -1342220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2387\/86886 + 74\/1609. Let d = 1 - 0. Are j and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*t - 481*t + 14256 = -146*t for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 334113 (base 9) in base 6?\nAnswer: 4141103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18 - b00?\nAnswer: -b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111 (base 2) to base 5.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-600)*(-12)\/20.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 7:24 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1764 and 26631108.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -30. Let q be 3*((-24)\/k)\/(-4). What is the nearest to q in 4, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*o - 6 = -7*o, 3*q = -4*o + 15. Factor -10*r**2 + 3*r**5 - 3*r**4 - 3*r + 4*r**2 + q*r**4.\nAnswer: 3*r*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 0 (b) 4 (c) 5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 27*n. Let q(h) = -4*h**2. Calculate d(q(w)).\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**3 + 15*n**3 - 38*n**3 - 20*n**3.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144435 and 34215.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**2 + 7*i + 7. Let y(z) = 2*z**2 - 4*z - 4. Let j be 7*-2*((-55)\/(-10) + -5). Calculate j*y(v) - 4*h(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 2:01 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2859738 + -799730. Let v be 3 - (z\/(-1 - -3) - 1). Round v to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 0*c**2 + 1\/3*c**3 + 0*c + 73. Let w(n) = -3*n + 6. Calculate f(w(j)).\nAnswer: 9*j**2 - 36*j + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1053, -2113, -3179, -4251, -5329, -6413, -7503?\n\"Answer: -3*o**2 - 1051*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 9*k**2 + 10*k**2 - 17*k**2. Let y(w) = 3*w**2. Calculate r(y(b)).\nAnswer: 18*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 5, -5, 280?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -56684 divided by -18773\nAnswer: 56684\/18773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 214559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/11, -0.5, 1\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-12) + 1)\/((-50)\/(-80))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 12:11 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a minute in seconds?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 7*f**2 - 6*f - 4. Let w be (-5*2\/30)\/((-2)\/(-24)). Determine l(w).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.032 - -0.432. Which is greater: -14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**6\/40 + l**5\/60 - l**4\/8 - l**3\/6 - 4*l**2. Determine u so that h(u) = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1123 is divided by 161.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - 0.6. Let q = -44 + 54.2. Let o = 10 - q. Which is the nearest to 0.1? (a) o (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/396*30*36\/(-100)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 81 + 99. Calculate the highest common divisor of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 6099276965169.\nAnswer: 6099276965170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 4*k - 7. Let g be i(6). Suppose 4 = h - 2*n, -4*n + g = 5*h + 27. Let v be 2 - (96\/21 + h). What is the third smallest value in 1\/4, -0.3, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -35. Let m = a + -18. Suppose 0 = -5*n - 3*f + m, -f + 6 = n + 2*f. What is the highest common factor of 48 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*z - 24*z**2 + 2*z**4 + 25*z**2 + 5 - 53*z as i + q*z**2 + h*z**3 + d*z**4 + r*z and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8\/(394\/56 + -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccuuucuuoouocouuu.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127657801?\nAnswer: 73, 1748737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13305 - 535?\nAnswer: 12330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 2. Let n(u) = -u - 3. Let j be n(-5). Suppose j - 4 = -h. Suppose -5*z + h*o - 2 = 0, -2 - 2 = 2*z - 4*o. Give w(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 5*x**2 - 3*x - 3. Let p be s(4). What is the units digit of (p\/(-3))\/(6\/(-18)) + 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 3*i - 3. Let z(l) = 15*l**3 - 20*l + 20. Give 20*a(b) + 3*z(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.22 + -2.78. Let w = 269 - 273. What is the smallest value in -7, a, w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 t, and 1 l when three letters picked without replacement from cxxjluutuxcjctc.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5247 and 24327.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -355561 >= -6044546\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 3:43 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 43. Let z(j) = -j + 21. Determine 2*s(a) + 5*z(a).\nAnswer: -a + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 163 + -1143\/7. Suppose -5*a + 955 = -4*r, -2*r - a - 470 = -5*a. Let w be 5\/45 + r\/(-225). What is the second biggest value in w, p, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rs when two letters picked without replacement from {s: 14, o: 1, r: 5}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/((-2940)\/30)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from gur.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 - 2) + (2 - (40 + -15)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (94\/(-64))\/(15\/(-10)). Let a = i - 5\/16. Determine m so that -a*m**3 - 2\/3*m**4 + 2\/3*m**2 + 2\/3*m + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-5)\/(15\/(-6)). Let s be (a\/2 - 3) + 5. Suppose -2*c + s*c = -4. Which is smaller: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(((t**1*t)\/t)\/t)*t)**(-3\/4)\/(t**(3\/13)\/(t**(-5\/9)\/t)) assuming t is positive.\nAnswer: t**(-1889\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 34*d**2 - 47*d - 11. Let u be x(3). Suppose -2*y = -4*y + 116. Suppose s = 3*l - u, -s = -l + s + y. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4707 at most 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = 4*n, 4*q + 2 = 5*q. Let s be (n\/8)\/((-14)\/16). Let r = 2.9 - 3. Sort 2, s, r in decreasing order.\nAnswer: 2, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9102 is divided by 581.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/15)*l*l**12)\/(((l*l\/(l*l**5))\/l*l)\/l)**(-1\/11) assuming l is positive.\nAnswer: l**(2114\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-15))\/((-27)\/(-36) - (-279)\/(-420))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -6. Let z(g) = 4*g**3 - 9*g + 4. Let d(s) = 4*s**3 - 10*s + 5. Let o(m) = q*d(m) + 5*z(m). Find the second derivative of o(r) wrt r.\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a kilometer?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 154 = -32. Suppose -3*m + 5*a = 3*a - g, 3*m + 5*a = 76. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -3\/5*l**5 - 3*l**4 - 3*l - 6*l**3 - 7 - 6*l**2. Determine c so that o(c) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 503186?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 21. Suppose -33 = -0*a - 5*a + 3*x, a - 2 = -4*x. Calculate the lowest common multiple of a and (-36)\/(-8)*m\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*x**4 - 2*x**5 + 363*x**3 + 9*x + 48 - 68*x**2 - 387*x**3 + 17*x + 30*x**4 + 11*x**4 = 0. What is x?\nAnswer: -1, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*sqrt(176).\nAnswer: -12*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 0*j**2 - 4*j**2)*(0*j**2 - 2*j**2 + 3*j**2) + (3*j**4 - 2*j**4 - 2*j**4)*(-4 + 5 + 2) + 4*j**4 - 4*j**4 + 2*j**4.\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 3*c - 1. Let p be g(3). Let z = 10 - p. Suppose -h = -28 + z. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 - u**2 + u. Let x be o(1). Let l = x + 2. Solve -g + 5*h + 19 = -0*g, -3*g + 17 = -l*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.51. Let x = 0.19 + w. Let b = x + -0.0999963. What is b rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*h + 1 - h + 0*h + 0*h as c + q*h and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/6 - (-6)\/(-9). Solve 4*t = -3*f + 12, t = p*t - 5*f - 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 64*n - 23. Let z be x(22). Let c = -19 + z. Suppose -2*d + 5 = 3. What is the remainder when c is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpc when three letters picked without replacement from {g: 1, z: 4, p: 2, c: 3, j: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 955*w**4 - 3316 - 927*w**4 - 67*w**2 - 9*w**2 wrt w.\nAnswer: 112*w**3 - 152*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 2*z**6\/3 - 8*z**5\/5 - 8*z**4 + 64*z**3\/3 + 32*z**2 - 128*z + 159. What is b in a(b) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*b + 122*b = -3*n - 4, 8*n = -b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 = 2*r + 5*i - 116, -3*r - 25*i = 259 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 37.8?\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/(-24) - 45\/(-108). Let c(f) = f**2 - f - 5. Let d be c(0). What is the third biggest value in x, d, -0.15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297.7066 less than 30?\nAnswer: -267.7066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21884538 (base 9) to base 2.\nAnswer: -101000100010001001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by -3*(123\/(-3) + -6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -275 + 3757?\nAnswer: 3482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 278 = 3*k - 2*l, -3*k + 4*l = -272. Let s = k - 87. Suppose 0 = -s*v + 298 - 28. Does 20 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/10*10\/(-4). Let d = 70235 - -193786. Suppose 4*o + 135975 + d = 2*x, -h*x - 100006 = o. Round o to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -18*d**2 + 3*d**3 - 6*d**3 - 9 - 39*d + 2*d**3 + 6*d. What is y(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 125498540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/3 of a century in months?\nAnswer: 30800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 - 3*u. Let r(n) = 14*n**2 + 6*n - 1. Let m(k) = -3*o(k) - r(k). Let t(h) = 2*h + 1. Let i be t(1). Calculate m(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17739 (base 10) to base 11.\nAnswer: -12367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 + 25*d**4 + 40*d**3 + 20*d**2 = 0. What is d?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microsecond in nanoseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1045860080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 2*n + 31. Let o be 16 + n + -3 + -5. Let c(t) = -t**3 + 15*t**2 - 28*t + 13. List the prime factors of c(o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 265.7 to the nearest integer.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 755935 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 - 6*p**2 + 5*p**2 - 67*p**3 - 182*p**3.\nAnswer: -249*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6223\/635)\/((-1)\/(-2745))?\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 - -4 - 2 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2\/11, 0.09, 1\/2 in ascending order.\nAnswer: -5, 0.09, 2\/11, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54787922 to the power of 1\/3, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4598083 or 13794248\/3?\nAnswer: 13794248\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3060682280.\nAnswer: 2, 5, 1709, 44773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -27*q**2. Let r(a) = -925*a**2 - a + 15. Determine r(j(i)).\nAnswer: -674325*i**4 + 27*i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**4)**(-13\/5))**(-25) assuming g is positive.\nAnswer: g**(-195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-614*w**2 + 27*w**2 - 288*w**2 - 6*w**2)*(2*w**3 - w**3 - 3*w**3).\nAnswer: 1762*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 7. Let s = -11 - -16. Let d be l(s). Let w = 55628 - 55624. Solve 2*h + w = d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*h**3 + 257*h - h - 256*h.\nAnswer: -431*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 + 16*y**2 - 85*y - 100 = 0.\nAnswer: -20, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 1. Let n(p) = 2*p - 1. Let g be (3\/4)\/(34\/(-272)). Determine g*n(z) + 5*l(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n\/n**(-3\/10))\/n*n**3*(n*n*n**21*n)**(-22))**(25\/2) assuming n is positive.\nAnswer: n**(-26135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)\/sqrt(3)*2)\/((sqrt(132)\/sqrt(4))\/sqrt(11)) - (sqrt(26)\/sqrt(2) + 1 + sqrt(13) + sqrt(208)*-2 + 1)**2) + 1.\nAnswer: -471 + 26*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/324*(306\/12)\/17. Is l less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2.6. Let f = -1 - -1.2. Let w = 26994.5 - 26995. Which is the biggest value? (a) f (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (57\/(-4))\/(-19) - (-3)\/(-4). Solve 3*b - 24*b + 21 = a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 75275.\nAnswer: -2, 1, 75275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.95 - -9.35. Put 1\/10, u, -2\/97, -2\/5 in decreasing order.\nAnswer: u, 1\/10, -2\/97, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 4*b + 7. Let t be o(5). Suppose -2*k = 2*j - 12, 4*j + 6 + 6 = 5*k. Suppose -t = -0*s - j*s. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**4\/4 - 8*q**3\/3 - q**2\/2 - 2*q - 166. What is y(-7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.371 - -0.087. Let h = -0.6 + 0.42. Let t = n - h. Round t to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b - 18*b - 16*b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 6*w - 3*a - 18, 5*w - 3*a = 38. What is the least common multiple of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2. Let x(v) = -15*v**2 - 36*v. Determine -18*u(h) + x(h).\nAnswer: 3*h**2 - 36*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*l + 24*l - 93*l in the form q*l + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42454039 is divided by 65?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(1\/(-2))\/1. Suppose -2 = -b + g + 4*g, b = 2*g - 1. Let u be 2 + (-1 - b - 3). Is k >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adddddffdd. Give prob of sequence af.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**1))**(-4\/11)*((t*t**(-2\/7))\/t*t)**2 assuming t is positive.\nAnswer: t**(138\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 13*z - 27. Let c be v(-10). Suppose -5*g + 3178 = m - 3042, -g - c*m = -1258. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -6. Let i = u - 2.06. Let o = -0.054 - i. Round o to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 27 = 5*p + 8, -3*p = -3*m - 9. Suppose -68*v - 26 = -2*g - 73*v, 23 = 5*g + 2*v. What is the highest common divisor of g and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 368075373 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:10 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-75)\/6) + 78\/(-52). Let n be ((-15)\/(-4))\/(2\/40). Suppose n + d = c. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-8)\/(((l**(-4)\/l)\/l*l)\/l)*l**(-5)\/l**(-2))**(-36) assuming l is positive.\nAnswer: l**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 169230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177*d = -4*p + 173*d - 36, p + 5*d + 25 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 + 10 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2. Suppose -4*i = -5*i - 8. Let p(w) = -w**2 - w. Let c(m) = -6*m**2 - 8*m. Let s(k) = i*p(k) + c(k). Give r(s(o)).\nAnswer: -8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -5*m**3\/3 + 25*m**2\/2 + 30*m + 56. Factor s(l).\nAnswer: -5*(l - 6)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1102424 (base 10) to base 15.\nAnswer: 16b99e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2659103095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4 + 11*u - 2*u - 1. Let b(s) = -17*s - 5. Let y(d) = -3*b(d) - 5*t(d). List the prime factors of y(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5322327 (base 9) to base 16\nAnswer: -2b79b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 32256570*w. Let o(k) = -4*k. What is o(v(y))?\nAnswer: -129026280*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (932*g**2 + 2476 - 2476)*(2 + 2 - 3 + g)*(-6 - 10 + 6) + (g + 3*g - 3*g)*(2*g**2 - g + g) as w + q*g + o*g**2 + y*g**3 and give y.\nAnswer: -9318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24\/18 + (-52)\/30\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = m - 108. Calculate the highest common divisor of 162 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13684903 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 179 - 179. Suppose 10*w - w - 2142 = s. Is w a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -562, -1 in ascending order.\nAnswer: -562, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2127 and 4124.3.\nAnswer: 4124.5127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t - 75 = -29 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, j: 5, n: 3}. Give prob of sequence jjjn.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12048047 (base 9) in base 12?\nAnswer: -1b7572a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddssdsssss. Give prob of picking 4 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 106080 to the nearest one thousand.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11063411 (base 10) to base 6.\nAnswer: 1033043255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 270313607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133050526 by 7.\nAnswer: -19007218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2163*m = -2161*m - 3*o + 8, 2*o = 2*m + 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1619378 bigger than -21051906\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -35 - -14 - (-87)\/(-4) - -2?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3270 and 117?\nAnswer: 127530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + x)*(4*x**2 + x**2 + x**2).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*y - 462 = 331*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(297)*1 + sqrt(297)))\/sqrt(9))\/(1*sqrt(192)*-2)*-5.\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.084 and -0.1.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 2\/7 (c) -92 (d) 188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**3 - q**2 - q - 1. Let r be c(-1). Factor 4*x**2 - x**2 + x**2 + 2*x**r.\nAnswer: 2*x**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304) - 6*2*sqrt(2304)) + sqrt(2304))\/((sqrt(352)*-1)\/sqrt(11)).\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 12*a + 4. Let i(r) = 30*r**2 - 1. Let x be i(-5). Let w = x - 744. Let l(g) = -g**2 - 8*g - 3. Determine w*y(q) + 7*l(q).\nAnswer: -2*q**2 + 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -787618 or -787617?\nAnswer: -787617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -39*k**3 - 5*k**2 - k + 9. Suppose -x + 2*s = -2*x - 4, x + 4 = -5*s. Is m(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 8. Let k(z) = -2. Let o(q) = 12*k(q) + 3*w(q). Let l(x) = 7*x. Determine o(l(y)).\nAnswer: 294*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = z - 66. Let a = z + 37. Find the third derivative of o**4 - o**a + 3*o**2 + 2*o**5 - 12*o**5 wrt o.\nAnswer: -600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -354, -708, -1062, -1416, -1770?\n\"Answer: -354*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 4:20 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**3 + 4. Let p(i) = -6*i. Calculate x(p(j)).\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -519243 or -519244?\nAnswer: -519243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118241730 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000563014 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 630.9863 millilitres in litres?\nAnswer: 0.6309863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qess when four letters picked without replacement from {q: 8, s: 5, e: 4}.\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n. Let p(m) = -m + 1. Let d(a) = -88*a**2 - 32*a + 32. Let g(c) = -d(c) + 32*p(c). Determine g(o(s)).\nAnswer: 352*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70)\/sqrt(2)*-6*-4)\/((sqrt(180)*2)\/(sqrt(36)*-2)))**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x**2 - 1 + 1)*(1 - 4 + 4)*(81*x - 16*x - 36*x) as f*x**2 + m*x**3 + a*x + q and give m.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8101320 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6880 greater than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 888, 486, -1214, -4212, -8508, -14102, -20994?\nAnswer: -29184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23.130778+-0.163\nAnswer: -23.293778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/1*(27 - 12). Suppose 0 = 9*j - q - 0. Let s(z) = -z**2 + 6*z - 6. Let t be s(4). Solve -b = -j*o + t*b + 11, -1 = -3*o - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2. Let v(o) = -5*o - 108. Let k(n) = -13*n - 200. Let m(w) = 4*k(w) - 9*v(w). Determine m(d(f)).\nAnswer: 7*f**2 + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 + 19 = 0. Let t = -5.7321 - -5.6021. Which is the smallest value? (a) k (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 10. Suppose -u = -m - 4, 7*u - 2*u + 3*m - g = 0. Let o = 1990 - 1990. Solve -u*n - 2*w = -w - 1, -5*n - 3*w - 1 = o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0302721 rounded to 3 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234169*p - 3231 - 1431 = 234106*p for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 - 0?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000418226379 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-6))\/(-7*(-286)\/1092))\/(-3).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 560653 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 11) to base 3.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 - -86. Let n = r - -42.1. Which is the closest to n? (a) 2 (b) 6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16211325 + -65.52\nAnswer: -16211390.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310\/17*s - 4\/17*s**2 + 156\/17 = 0.\nAnswer: -78, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m - 120. Let z be k(24). Suppose 4*q - 3*j - 3 = 46, 10 = 2*j. Solve -20 = -z*f + 5*f - b, 2*f - 2*b = -q for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1636512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035698151?\nAnswer: 3, 19, 269, 67547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + z**2 + 4*z + 1. Let x be v(3). Sort x, 3, 1 in decreasing order.\nAnswer: 3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -35160755?\nAnswer: 35160755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -30*g**3 - 1. Let t be q(-1). Let z(m) = m**3 + m**2 + m + 1. Let d be z(-2). Let r = t - d. What is the highest common factor of 51 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1411183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.041, -47, -0.2?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 183*m**2 - 7*m - 5*m + 10*m - 45*m**2 - 2*m**3 to the form q*m + w*m**2 + k*m**3 + z and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 5 = -11*l. What is the nearest to 4\/7 in -1\/5, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2413948 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 14 = 2*v. Suppose -2*r - f = -v, 4*r = 3*r - 4*f. Solve 0 = -r*i + 8 + 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/4 - 15\/60. Suppose -x*g + 1 = d - g, d - 4 = -4*g. Calculate the greatest common divisor of 40 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*o = -6*o - 603, -3*o - 1773 = -3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by -2?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 3*a = 0, -25*m + 21*m + 4*a = -40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 80246.08 centuries?\nAnswer: 8024608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9123, -8458, -7777, -7080?\n\"Answer: 8*o**2 + 641*o - 9772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from 0.094.\nAnswer: 0.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least -64517.819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 114820252861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {n: 7, t: 1, h: 1, v: 5, i: 2, f: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5043.877 millennia to decades.\nAnswer: 504387.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10858.\nAnswer: 2, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(102) + 2*sqrt(102)*-6)\/(sqrt(6) + (2*sqrt(60))\/sqrt(10)).\nAnswer: 44*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2413 + 513 + 473 + 9*o + 476 + 479 + 476.\nAnswer: 9*o + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78979 = -9*k + 11084. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 4. Let r be z(0). Let p = r + 1. Let a be 3\/(-3 + p)*-96. What is the greatest common divisor of a and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 2:57 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 197 + 147 = 0. Let p = -51 + n. What is the highest common factor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 3*z + 4. Let q be n(-3). Let u(p) be the third derivative of -1\/108*p**q - 1\/270*p**5 + 0*p + 2*p**2 + 0*p**3 + 0. What is r in u(r) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2178 and 16963232?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33 - 275.962785.\nAnswer: -276.292785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2*o**(-5)*o\/((o*o**(-1\/3))\/o*o)*o**(-2)\/o assuming o is positive.\nAnswer: o**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**4\/(z**(-6)*z))\/((z*z**(-1)*z*z)\/z**4) assuming z is positive.\nAnswer: z**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -17. Solve b = -c - 5, 3*h + 0*c = 3*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -21*d**2 - 2*d + 1. Let r = -45 - -46. Give j(r).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2840346007 to the nearest integer?\nAnswer: 53295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/4)*g)\/g)**(-41)*(g*(g*g**(-1\/2)\/g)\/g)\/g**9 assuming g is positive.\nAnswer: g**(85\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -30*(-6)\/(-24)*-2. Calculate the greatest common divisor of 375 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/3, 0.04 in increasing order.\nAnswer: 0.04, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -408*q + 122. Let j be a(-2). What is the highest common divisor of 14 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.296682*-4\nAnswer: -5.186728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -161555.64 minus -0.3?\nAnswer: -161555.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1105569338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 51*d**2 - 352*d + 15097. Give r(50).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.51, -11, 0.\nAnswer: -11, -0.51, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 237842.4 minus 0.67?\nAnswer: 237841.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 18 = 16*o. Let j(s) = -2*s**3 + 13*s**2 - 7*s - 3. Let t be j(o). Let p = 13 + t. Solve -4*w + 5*n + p - 2 = 0, 6 = -4*w + n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47410250 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acaacccaaaac. Give prob of sequence aac.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 6*r**2 + 5*r + 3. Suppose t = 3*t. Let h = t - 2. Let p be (-3 + 1)\/(1\/h). Determine y(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 102944\/349?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43186765.\nAnswer: 5, 2129, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 593686 = f, f - 3*m - 593651 = -5*m. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-39)*((-7137)\/(-273) + -26)\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 53*s = -59*s + 206, -360 = -5*f - 10*s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-24)\/900 - (-94)\/(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(((-18)\/(-120))\/(-3)). Let t = p + 35. Let j = -4837\/36 + 533\/4. Which is the third biggest value? (a) j (b) t (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.056563 centuries?\nAnswer: 0.56563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -46150 and -1723?\nAnswer: 79516450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*l + 17*c - 424 = 0, 3*l + 4*c - 3980 = -3903 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 10, 0*u = 2*u + k - 9. Suppose 4*n - u*n = 80. Calculate the highest common divisor of 16 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2243823 is divided by 10017.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (302\/(-1208))\/((-108)\/(-32) + -1) - (-2466)\/(-38)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -214 - -2352\/11. What is the fourth smallest value in v, 4, -4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven halves of a litre in millilitres?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7, -457, -1761, -4339, -8611, -14997, -23917, -35791?\n\"Answer: -70*j**3 - 7*j**2 + 61*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40640420 - -1?\nAnswer: 40640421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 123631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let k(c) = 280543*c + 12. Calculate k(q(s)).\nAnswer: 280543*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r. Let h(w) = 2*w - 8. Let k(p) = -p + 5. Let g(x) = -5*h(x) - 8*k(x). Calculate a(g(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 44. Suppose -i = -6*i + o. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 8:49 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -6975516.\nAnswer: -3487758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/4 - 1077*a\/4 + 1075\/2 = 0 for a.\nAnswer: 2, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 29\/5 of a millisecond?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by (2*2\/(0 + -1) - -7) + 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.317 plus 0.4031?\nAnswer: 2.7201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 18. Let g(l) = -34*l**2 - 3. Determine g(c(m)).\nAnswer: -544*m**4 - 4896*m**2 - 11019","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2056, 2055, 2054, 2053, 2052?\n\"Answer: -g + 2057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 76, 106, 134, 160?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-12)*-15 - 2. Let y(u) = u + 2. Let x be y(j). Solve g + 3*h = 14, h - 2*h = -x*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*h - 1508 = -359*h + 128*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h**2*s**3 + 5*h**2 - 2040*h*s**2 - 415004*s**3 wrt h?\nAnswer: -8*h*s**3 + 10*h - 2040*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 686152?\nAnswer: 2, 199, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 1. Calculate r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -279605362*g**4*i**3 - 2*g*i**3 - 66261*g*i - 2*g + 11*i**3 + 5*i**2 wrt g.\nAnswer: -3355264344*g**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22190*x**3 - 5*x**2 - 98*x + 12*x**4 + 97*x - 22180*x**3 in the form v*x**4 + p*x**3 + c + f*x**2 + g*x and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 88634*f**2 + 982131182*f + 2945595894.\nAnswer: 2*(f + 3)*(f + 22157)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -19. Let d be 2 - (0 - (-3 - w)). Let c(s) = 5*s - d*s - 1 + 2*s - s**3 + 6*s**3 - 2*s**2. Calculate c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3452, -7644, -14628, -24404, -36972?\n\"Answer: -1396*j**2 - 4*j - 2052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185768, 185766, 185762, 185756, 185748?\nAnswer: 185738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:04 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -176*x**2 + 2*x - 1. Let v be h(-2). Let f = 9211\/13 + v. Let j = f + 4\/13. Which is the third smallest value? (a) j (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104314 - -141?\nAnswer: -104123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen fifths of a day?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**3 + 4*p - 3*p + p**6 + 0*p - 7*p**3 + 6*p**2 wrt p?\nAnswer: 120*p**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5761611497 to the power of 1\/2, to the nearest integer?\nAnswer: 75905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w**(-30)*w)**(-24)*(w*w**(-3\/5))**41)**(-2\/49) assuming w is positive.\nAnswer: w**(-6404\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 1. Let k(c) be the third derivative of c**4\/24 - c**3\/6 - c**2 + 2179*c + 2. Give -5*k(x) + 3*o(x).\nAnswer: 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 1:31 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.8 + 9.2. What is the closest to -1 in 0.4, 2, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**6\/120 - g**5\/16 + g**4\/4 + 10*g**3\/3 + 8*g**2 + 19*g + 7. What is x in f(x) = 0?\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -1 - (-18 - -18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408164 and 938.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3885 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 492 a factor of 23549161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.69 - 28.21. Let p = l + 35. Let v = 2 + p. Which is smaller: v or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 50 - 32. Let v(b) be the third derivative of 1\/120*b**r + 0*b**3 + 0 + 1\/12*b**4 + 1\/20*b**5 + 2*b**2 + 0*b. Factor v(s).\nAnswer: s*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -106, -188, -270, -352, -434?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/4)\/(0 + (-6)\/552). Suppose 3*s - p = 52. Calculate the remainder when 69 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g**2 - 4*g - 5. Let h(z) = 5*z**2 - 5*z - 6. Let i(x) = 4*c(x) - 3*h(x). Let v = 42 - 28. What is the remainder when i(-6) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -60, -673\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 9}. What is prob of sequence ttt?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -451*s**2 + 4977*s - 92. What is u(11)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16079 - 6239. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -221977383 and -7?\nAnswer: 221977376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1121578 rounded to 3 dps?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 54*h = -19*g - 50*h - 172, 5*g + 5 = 5*h for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(704))*2)**2 + -4.\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.442 + -1.548. Let u = b + 2. Let p = u + -0.51. What is the biggest value in -1\/6, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-183*o**3 + 181*o**3 - 3*o + 5328 + 9*o**2 - 5395)*(-1 + 1 + o) as s*o + u*o**3 + w + d*o**4 + k*o**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 - -325\/4. Let m = 27 - -10. Let g = m - 31. Which is bigger: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/4 + -19\/12. Find the common denominator of q and 91\/46.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhhj when four letters picked without replacement from jtbthhhjlhyhhjlt.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10595*h - 63482. Calculate d(6).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 5*c**2 + 2*c - 2. Let q be u(5). Suppose -3*i = -q*i - 5. Which is smaller: -4\/5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -13. Let q be 6 - (1 - 3) - a. Calculate the remainder when 25 is divided by 11 + 1\/(3\/q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/6588 and 17\/108.\nAnswer: 6588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189914652 less than -0.4?\nAnswer: -1189914652.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-3)\/9) + (20 - -1). What is the greatest common factor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/6 - 8*z**4\/3 + 32*z**3\/3 = 0 for z.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4024 divided by 16840\nAnswer: 503\/2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12201 - -4031421?\nAnswer: 4044122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = -2*l - 0*h, 3 = -4*l + 3*h. Suppose -5*n = -l*n - 20. What is the third derivative of -n*j**2 + 5*j**2 - 2*j**3 + j**3 wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/3 and 94\/165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 37604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 9. What is the nearest to b in -0.3, 5, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.184 * 114048\nAnswer: -20984.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 7 + 1. Let n be ((-10)\/15)\/t + 14\/6. Solve 4*m - n = 5*s - 22, 5*m = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.831 * -4.8\nAnswer: -8.7888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*z - 2*z - 3*z)*(z + 0 + 0) + z**2 - z**2 - 3*z**2)*(-3*z**2 + 11*z**2 + 7*z**2).\nAnswer: -60*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1614, -1625, -1646, -1683, -1742, -1829, -1950, -2111?\n\"Answer: -g**3 + g**2 - 7*g - 1607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 0)*1 - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 22 = -17*y + 109, 3*y - 2*j = 15 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 8 (c) -93 (d) -17 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/70*3640\/(-1092)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 474256971 to the power of 1\/2, to the nearest integer?\nAnswer: 21777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 0 + 7\/300*l**6 - 1\/30*l**5 - 4\/15*l**4 - 4\/15*l**3 - 16*l**2 + 0*l. Suppose h(w) = 0. What is w?\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -339, -4, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 7 - 7)*(0 - 1 - 1)*(-1 + 2 - 2)*(-9 + 2*s + 9) to the form h*s + g and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 102550197521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psrp when four letters picked without replacement from {r: 6, s: 2, p: 11}?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -100*g**3 - 976*g**2 - 732*g - 148. Let k(m) = -m**2 - m + 1. Let v(u) = j(u) + 4*k(u). Determine q, given that v(q) = 0.\nAnswer: -9, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 b when four letters picked without replacement from ddbdbdddddddbbdddddd?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q. Let w(o) = 2*o**2 + 5*o**2 - 2*o**2 - 17*o + 22*o. Determine w(z(l)).\nAnswer: 5*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 3. Suppose -3*m - m = 5*p - 22, 2*p + m - 10 = g. Suppose -6 = 3*l + p. Is l smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g - g + 62 = 3*a, 0 = 2*g - 2*a - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 15*h + 825, -49*i - 165 = -19*i - 25*i + 3*h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*r**3 + 43*r - 50*r + 5*r.\nAnswer: 73*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 7. Let s(u) be the third derivative of -u**4\/24 + u**3\/3 - 11*u**2. Let m(d) = -6*r(d) - 17*s(d). Calculate m(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-3 - (-3 + -3 - -7)) + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -198000*m + 608546 wrt m?\nAnswer: -198000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(76) - -2*sqrt(76))*-4*5 - (4 + sqrt(76)*2)*4) + 4)**2.\nAnswer: 1904*sqrt(19) + 351473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w - 270 = 0. Let i be ((-16)\/(-12))\/((-4)\/w). Let d = i + 27. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**7\/840 + c**6\/480 - c**5\/80 - 5*c**4\/96 - c**3\/12 - 4*c**2 + 20. Let z(a) = 0. Calculate a.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27407, -54791, -82175?\nAnswer: -109559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15 - -13) + 6\/(-2). Suppose 2*t = d - 2*d - 46, -t + 2*d - 13 = 0. Let m = z - t. Calculate the remainder when 45 is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -37*c + 675. Calculate the remainder when 273 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154471522 to the power of 1\/2, to the nearest integer?\nAnswer: 12429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 11*v**3\/3 + 9*v**2\/2 - 2*v + 2. Let z = 7 - 11. Let d(w) = -5*w**2 - 4*w + 1. Calculate z*l(p) - 9*d(p).\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -15 - (22 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 + 4*z + 1. Let s be y(-3). Let p = -18 + s. Solve 5 = -4*k - p for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -101*i**3 - 2*i**2 + 2*i. Let o(c) = 304*c**3 + 7*c**2 - 7*c. Calculate -7*d(a) - 2*o(a).\nAnswer: 99*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30c - 83?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h**2 - 7*h + 11. Let o be x(6). Let q = o + 126. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 422 to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - a, 331*a = -r + 335*a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -280*o**2 + 626 with respect to o.\nAnswer: -560*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c + 0*c)*(1 + 6 - 2)*(3 - 2 - 5) - 2*c - 2*c + c.\nAnswer: -43*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 127\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-6 + 5) - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*q - 2 + 17*q - 75*q in the form d*q + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.312913 rounded to 1 decimal place?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 507.5 + -507. Put j, 4\/5, 0.1, 2\/3, 90 in decreasing order.\nAnswer: 90, 4\/5, 2\/3, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 81 + 81 - 16*c.\nAnswer: -17*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -75047*f*r*u**2 + 9391*f*r + 6425*f - 470*r*u**2 + 2*u**2 wrt u?\nAnswer: -150094*f*r*u - 940*r*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2426475 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 13 - -61) + (-15 - 6 - -14 - 3).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 + 188*i**2 - 111*i + 5. Let f be r(37). Solve -2*z - 3 = -h, 2*z = -h + f - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -32294 - 18606. Let x = b - -413. Let f = x - 8283. Round f to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h**3 + h**2 + h - 1. Let m = 75 + -68. Suppose 15*i = m*i + 8. Calculate a(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 77*s + 36. Let z(j) = -158*j - 70. Give -7*q(f) - 3*z(f).\nAnswer: -65*f - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/50 and -57\/55.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 54 = -18*g, 3*g = 1205*z - 1200*z + 63 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3617 + 3622. Let k = 1.1 + -1. Let y = 6.1 - k. What is the second smallest value in y, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 162\/1937?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 36 (b) 0.08 (c) 3 (d) 1347\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 2. Suppose 2*b + i - 42 = -3*b, -5*b + 36 = 3*i. Suppose 4*m + 16 = -2*a, m + 0*a = -3*a - b. Determine x(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*g + 72 + 918 = 147 - 955 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 5*z = -55 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 20 = -4*q, q = 2*h - 7*h + 13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27289, -27291, -27293, -27295, -27297, -27299?\nAnswer: -27301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38*720\/(-160)*(-2)\/9.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*d - 332030 = -105*d + 4566045. What are the prime factors of d?\nAnswer: 13, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14819 and 406.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 98*z**2 + 4*z + 3. Determine n(-1).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21020 (base 3) in base 14?\nAnswer: -dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62926036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20420*h*v + 1026407000*h - 1583*v**2 with respect to v.\nAnswer: 20420*h - 3166*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 5.6. Let p = -10272 + 10276. Which is the closest to k? (a) p (b) 2\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 600.3983 and -0.2?\nAnswer: -120.07966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -29\/12*z**4 + 0 + 58*z + 1\/2*z**2 + 0*z**3. Let y(o) = o**2. Calculate y(p(w)).\nAnswer: 841*w**4 - 58*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2786 (base 10) to base 4\nAnswer: 223202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(1*sqrt(204) + sqrt(204)))\/(-1*sqrt(1452)*-4 - sqrt(1452)).\nAnswer: -40*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432\/(-4) + 59 + 106.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbaa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 3*r**2 + r - 6. Let c be o(5). Suppose -5*m = -906 - c. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.38, -0.01, -12.4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n. Let j(b) be the second derivative of -b**7\/1260 + 13*b**4\/12 - 2*b. Let i(p) be the third derivative of j(p). Give i(f(t)).\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, d: 3}. What is prob of picking 1 d and 2 j?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 14 = -3*k. Let o = 5 + -5. Suppose -k = -o*h - h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(2 - 1)*-1. Suppose -b - 5*x + 19 = 0, 18 = -2*b - 0*b + 4*x. Sort b, p, 0 in ascending order.\nAnswer: p, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (7 - 9 - -6 - 8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/17 - 305518*z\/17 + 7944820\/17.\nAnswer: -2*(z - 26)*(z + 152785)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/7008 and 23\/13477552.\nAnswer: 80865312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -h**6\/6 + 17*h**5\/15 + 29*h**4\/12 - 5*h**3\/9 - 7*h**2\/3 + 77. Let w(r) = 0. What is r?\nAnswer: -1, 0, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*-3*sqrt(1440))\/(6*(sqrt(220)\/(sqrt(11)*-3 - sqrt(11)))\/sqrt(10)).\nAnswer: 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -24 (c) -1 (d) 3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -25. Let j be (-2)\/l - 716\/(-18). Let t = j + -15. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56119 or 56136?\nAnswer: 56136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-16)*a**(1\/30))**(-4\/7) assuming a is positive.\nAnswer: a**(958\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495956868 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*w - 38*w + 22*w + 2*w**3 - 3*w**2 to b*w**2 + r*w**3 + k*w + j and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9170 and 1490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 210.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i - 125 = -30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -44. Let y(u) = u - 1. Let d(c) = -3*c + 12. Calculate o*d(q) + 12*y(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 14.84857 litres?\nAnswer: 14848.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1140540 and 588?\nAnswer: 55886460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*r = -0*r + 44, -4*h + 44 = -r. Suppose 4*l - h = 13. Suppose -6 = -2*k + l. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 - 160 = 3*t - 5*v - 355, 0 = -6*t + v - 3*v - 5 + 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66599985 = 2*y + 5*v, -3*y = -5*v - 73036817 - 26863198. Suppose -l - 2*l = -y. Round l to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-3)\/7 - 2880\/(-105) and 39?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**2. Let n = 22 + -12. Let z be -2*1 + (2 - -2). Let x(g) = n - 10 + g**z. Calculate d(x(w)).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 840, 1697, 2550, 3393, 4220, 5025, 5802?\nAnswer: 6545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3849, 3784, 3711, 3624, 3517, 3384, 3219?\n\"Answer: -x**3 + 2*x**2 - 64*x + 3912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1078365598 to the nearest integer?\nAnswer: 32838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 - 18*j**2 + 75*j - 5. What is a(9)?\nAnswer: -2975","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 13, r: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/(sqrt(648) - (sqrt(648) + sqrt(648)*-1)))\/(sqrt(24)\/(3*sqrt(100))))**2.\nAnswer: 175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123477 (base 9) to base 11.\nAnswer: -51187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*0.54.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1577430 and 83\/1020?\nAnswer: 3154860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 7152 and 35767\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*f - 2*f. Suppose 2*d + f*q = -14, -3*d - 4*q - 18 = -2*q. Let t be 1804 + 1\/(1\/d). Round t to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2. Let p(j) be the first derivative of -j**5\/60 - j**2 + 1. Let c(l) be the second derivative of p(l). Determine b(c(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by -1250\nAnswer: 38\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3*-2)\/((-7)\/1288*6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62335399.\nAnswer: 7, 1272151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 80 = 40. Suppose 35 = -v*q + 115. Which is the third biggest value? (a) q (b) 0.5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -24 - ((1 - -31) + -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -931 = 78*k + 943 - 704 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2 + sqrt(7))*1.\nAnswer: sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x + x + 15161*x**3 + 15156*x**3 - 30316*x**3 + 4*x.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 z, and 1 c when four letters picked without replacement from {u: 2, z: 1, k: 2, b: 2, l: 4, c: 3}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.55*-0.2.\nAnswer: -1.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 826 and 340784?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217456164 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3966 + 3606 = 15*d for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183042178 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 1, g: 6, c: 1, y: 4, k: 1}. What is prob of sequence yky?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 + (-117 + 124 - (-4 + 1))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/(-20))\/(10\/(-25)). Suppose -w + 687 = g, -w - 4*g - 702 = -2*w. Is 23 a factor of 1\/1 + w\/((-5)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1427.0004345 - 1427. Round l to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khh when three letters picked without replacement from {h: 3, k: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(3 + 140\/(-47)). Let x = u - -14. Round x to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/56 + (-12240)\/(-140). Are 82 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4340583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:41 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 144 = -5*s. What is s rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(540)*-1)\/((sqrt(20) + 1*sqrt(20) - sqrt(20))\/sqrt(4) + 2*sqrt(10)\/sqrt(2))*2.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 951, 960, 981, 1020, 1083?\nAnswer: 1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -28 - (151 + -164) - 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0)\/(2\/(-1)). Let q = 0.18 - 0.28. Which is the nearest to q? (a) 0.1 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 8*w - 2. Let t be c(-7). Suppose -3*j + 5*a + 0*a + 1 = 0, -5*j + 5 = -t*a. What is z in 3*z - 1\/3 - 9*z**j + 9*z**3 = 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 572869450 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 34. Suppose 5*g - j - z = 0, -2*j + 10 = -g + 4*g. Let f = g + -1. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/((-9)\/4)*3. Let x(m) = -m**2 - m - 5. Let d be x(-5). Let i = t - d. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111179 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24245 divided by -11?\nAnswer: -24245\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2948 by -134.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13669874?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 637 - 314 = 0. Suppose 0 = -13*i + v + 47. Sort -6\/7, i, 1\/4, -0.2.\nAnswer: -6\/7, -0.2, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 218, 219, 216, 209, 198, 183?\n\"Answer: -2*b**2 + 7*b + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 796686.8m?\nAnswer: 796.6868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 4 + 10 + 3*d - 8 in the form x + q*d and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-90) + (-40)\/(-18). Is 22 a factor of (n*76 - -3) + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 1. Let x be h(-9). Suppose 4*m + 367 = 1383. Let g = x + m. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 88980 and 88879 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 88, 96, 106, 118, 132?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 9:16 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 5:58 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) + 438\/(-216) + 2. Which is the nearest to -1? (a) w (b) 1\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) 5\/2 (c) 1590 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(162) + sqrt(162))*3.\nAnswer: -3 + 54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -914565058*s**4 + 974204*s - 112 wrt s.\nAnswer: -10974780696*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1018, 1808, 2620, 3466, 4358, 5308, 6328?\nAnswer: 7430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 15. Let t(b) be the second derivative of b**2 + 0 + 1\/12*b**4 + z*b + 0*b**3. Find the first derivative of t(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2911, 4, -3\/43?\nAnswer: -2911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13207255.\nAnswer: 5, 2641451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7745*f**3 + 13*f**2*v**2 + 9*f**2*v + 24368*f*v + 74*v**2 wrt f.\nAnswer: 46470*f + 26*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*(3 + sqrt(208))*-5 + -1 + (((sqrt(208) + -1)*6)**2 - sqrt(208) - (2 + (sqrt(208) - (0 + sqrt(208) + sqrt(208)) - sqrt(208)))).\nAnswer: -404*sqrt(13) + 7431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 26*u**2 - 127*u - 9793. Determine g(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 376 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 246 = -118. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*p + 130*p + 17*p.\nAnswer: -347*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2. Let j(w) be the first derivative of 4*w**2 + 5. Give j(r(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**3 - 10*t**2 - 6*t + 3. Let i = 916 - 920. Calculate a(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29344 is divided by 245?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/33 and 22\/849405?\nAnswer: 9343455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uniauviunnvvnuiaumav. What is prob of sequence vn?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 333941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1926 - -9628\/5. Let x = 0.1 - -0.5. Put x, 4, w, -2 in decreasing order.\nAnswer: 4, x, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87, 94, 105, 120, 139, 162, 189?\n\"Answer: 2*l**2 + l + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -44.6951 + 0.12\nAnswer: -44.5751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 4*u**2 + u - 1. Let p(x) = -2*x**2 + 11*x - 3. Let j be p(5). Suppose 2*g = 7*k - j*k - 33, -5*g - 40 = -4*k. Determine z(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*i**2 - 4*i + 71*i**5 - 5*i**5 - 29*i**5 + i - 11*i**5 - 4*i**6 wrt i.\nAnswer: -480*i**3 + 1560*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f - 2. Suppose 6*r - 14 = f*r. What is the least common multiple of 1 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50935370.\nAnswer: 2, 5, 5093537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 124*x. Let r(f) = -16*f + 504*f**2 + 16*f - 1003*f**2 + 483*f**2. Calculate r(c(m)).\nAnswer: -246016*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 0.3 (c) -10 (d) -2 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + c + 1. Let a(t) = -235*t**2 + 282*t + 282. Give -a(l) + 282*r(l).\nAnswer: -47*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d + 1?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 2:37 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 3*a + 16 = 5*v + 22 + 18, 5*v = 45*a - 110 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.927 rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1262*v - 435*v - 398*v + 2936*v**3 - 434*v as u*v**2 + w*v**3 + h*v + k and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 0.02, 12, -30, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 13 - 17 + 36 - 15 - 17.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -5*f + 16, k - 14 = -3*f. Suppose -2*w - f*m = -3*w + 11, -5*m - 1 = 3*w. Let n(i) = -w - i + i - 3*i. Give n(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162\/24 + (-95)\/(-76)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1\/c)**(-50)\/((c*c**(-3))\/(c*c**(-6)))*((c*c*c*(c*c**(-3\/4)*c)\/c*c)**1)**(-7\/9) assuming c is positive.\nAnswer: c**(-227\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11932\/11? (a) 2 (b) 2\/3 (c) -4\/15 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -19*r**2 + r + 32. Let f(o) = 18*o**2 - 2*o - 33. Let t(b) = 5*f(b) + 4*j(b). Let z(a) be the first derivative of t(a). Differentiate z(l) wrt l.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14664, 14663, 14664, 14667?\nAnswer: 14672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 88148 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*a + 16930 = 0, -14*a + 33860 = 4*j - 9*a. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((299\/26)\/23)\/((2205\/(-28))\/7).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(-9 + 20 + 11)*(-2 - j + 2) + 4 - 2*j - 4.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i. Let s(a) = -28*a. Determine d(s(x)).\nAnswer: -112*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -4*c**5\/5 - 7*c**2\/2 - 11*c - 3. Find the first derivative of q(l) wrt l.\nAnswer: -16*l**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 22011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 0.29 (c) 5 (d) 4\/3 (e) 3\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6692936791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 5*i**3\/3 + i**2 + 4*i + 11. Let o be j(7). Let l = o + -96. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + -2)*(-530)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130 - 269 + 133 + 7*m**3.\nAnswer: 7*m**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1838*a + 1 = -1837*a, -2*a = l - 2. Solve l = -60*w - 287 - 73 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + d = 19, 0 = -2*c - 2*d + 6 - 4. Let n(v) = -v**3 + 7*v**2 - 6*v + 2. Determine n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/6 and -8\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 343303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -43*f + 2. Let m(a) = 86*a - 4. Calculate 3*m(q) + 5*n(q).\nAnswer: 43*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(820\/1804)*4?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/17 + 74100*d**3\/17 + 686351250*d**2\/17 = 0. What is d?\nAnswer: -18525, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**3 + 35*i**3 - 13*i**3 - 9*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 238?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0036880665 to six dps.\nAnswer: -0.003688","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = l - 19. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.1, -0.13, 2, 18?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.968 - -14. Let q = f + -0.132. Which is the nearest to q? (a) 0.2 (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 - f + 2. List the prime factors of z(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -406, -942, -1478, -2014, -2550?\n\"Answer: -536*c + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 3. Let f(w) = -2*w**2 - 3*w + 4. Let n be f(-4). Let j be 58\/n + (-3 - -7). Put i, j, 0 in decreasing order.\nAnswer: j, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*q*x + 24*h*q - h*x - 44*q*x - 10*q wrt x.\nAnswer: 2*h*q - h - 44*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(2*u - 1 + 1) + u + 0 + 0 - 1584 - 117*u + 1584 + (-2*u - u + u)*(1 + 3 - 6))*(-3*u + 3*u + 8*u).\nAnswer: -912*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 4*p + 6572 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2845 divided by 569.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 3*g = -16, 4*g - 15 = -4*s + 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -55*y - 13 - 13 - 22 + 46 + 63*y. Let i(t) = 101*t**2 + 2. Determine l(i(z)).\nAnswer: 808*z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 9*t**2 + t + 3. Let p be r(9). Solve -5*l + 2 - 18 = f, -f + p = -2*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 3\/((-9)\/(-12)). Let i be 0 + 1\/(2\/t). Does 18 divide 6\/(-4)*(-50 + i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 564 divide 11709768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 20. Which is the nearest to 2? (a) 0.2 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*t + 19 - 50. What is the second smallest value in -8, -0.1, t, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*a + 4*a + 17 = 0, 5*v = a - 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -5*q**4 + 1835*q**3\/3 - 680*q**2 - 455*q - 483. Factor w(o).\nAnswer: -5*(o - 91)*(o - 1)*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -90. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*k**3 - 4252*k**2 - 2*k + 10841407.\nAnswer: -63*k**2 - 8504*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 11*u + 8. Let b be a(-4). Is (-1890)\/75*50\/b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8 - (32 - 28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c. Let t(q) = 2*q - 3. Let n(a) = -6*a + 10. Let f(x) = 2*n(x) + 7*t(x). Calculate w(f(r)).\nAnswer: -4*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1538.5 - 1541.5. Which is the closest to 0.4? (a) 3 (b) 2 (c) -18 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 3*z + 0*z)*(-4 + 2 - 2)*(2 - 2 + z).\nAnswer: -12*z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -7.99999981. What is n rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -3, 5 in descending order.\nAnswer: 5, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.46 + -5.54. Let l = h - -1. Let d = -4.6 + 4.9. Which is the nearest to -0.1? (a) d (b) l (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**5\/20 - j**4\/3 + j**3\/6 + 2*j**2 + 11*j. Let a = 7 + -4. Suppose -4*u + 3*r = -7, 3*r + 3 = -0*u + a*u. Give s(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12668 by -63399.\nAnswer: -12668\/63399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2\/5 + 2988*v + 255136\/5.\nAnswer: -4*(v - 3752)*(v + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 3*o - 12. Factor 4*s + s**4 + 5*s**2 - 1 - 2*s**4 + o*s**3 - 11*s**2 + 0*s**3.\nAnswer: -(s - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.073 (b) -3\/35 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 2 + 2 + (-12 + 7 - 24)*(-3*j**2 + 13 - 13).\nAnswer: 86*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 800.975984 + -785.976. Let f = -15 + i. What is f rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 + 4111 = 6*d. Suppose -9*z = -z - d. Suppose -q + 2*q - 5*t - 41 = 0, 5*q = -4*t + z. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1. Let z be (-3)\/(1 + 5\/(-2)). Let r = z - s. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 9302*d + 5567749. Calculate v(-643).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -3*j**4\/4 + 3*j - 7. What is the derivative of n(x) wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 = -3*c, -z + 10 = 4*c + z. Let a(u) = 9*u + 3. Does 18 divide a(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 17380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 3*c - 22 + 13 = -28, -3*w = -4*c - 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 3*x + 1. Let l = 699 - 693. Let d(v) = -60*v**3 + 3*v**2 - 10*v - 27. Let a(k) = l*n(k) - 2*d(k). Find the second derivative of a(o) wrt o.\nAnswer: 720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2\/13 (c) 0.4 (d) -1\/4 (e) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 43*p - 18. Suppose -z + 6*z = n + 106, -2*z + 4*n + 28 = 0. Let g be k(z). Solve -2*h = -m - 3 + 6, -g*m + 25 = 5*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**4*s**2 - 2*m**4 - 33*m**3*s**2 - 2*m**2*s**2 + 34*m**2*s wrt m?\nAnswer: 72*m*s**2 - 48*m - 198*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 656 = 746. Is l less than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1667*j**3*l**3 - 117*j**3 + j*l**3 + 6*j*l**2 - 1821*j wrt j.\nAnswer: 10002*j*l**3 - 702*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -18. Suppose 0 = f - m*p - 1355, 0*f - 4072 = -3*f - p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22\/(-264) - 81892\/(-48) is divided by 349.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85156 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 4*g**2 - g + 35 - 2*g**2 - 30. What is u(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18414, 18428, 18454, 18498, 18566, 18664, 18798?\n\"Answer: n**3 + 7*n + 18406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 91476 and 874104.\nAnswer: 7866936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2 + 928*d + 927 = 0.\nAnswer: -927, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*m + 6 = -0*a, 4*m + 12 = 2*a. Suppose -a = -j + 2. Let g = 17 - 12. Let n(v) = -2*v - 7. Let k(f) = 3*f + 11. Give g*k(h) + j*n(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - s + 0*s)*(2*s**3 - 4*s**3 + s**3) - s**4 - s**3 + s**3 + (-4 + 3 + 0)*(s**4 + 4*s**4 - 3*s**4) to u*s**3 + i + z*s**4 + j*s**2 + f*s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-330)\/4)\/(-8 + (-319)\/(-44)).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 11*j**2 - 10*j + 21. Let u be r(9). Let v = 130 - u. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 f when four letters picked without replacement from fwwwwwwfffwwffwwwww.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 2*t + 23. Determine u(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/4 of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h - 5 + 85 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 12*j - 8*j. Let u(i) = i**2 + 10*i + 9. Give u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 157 - 181 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958276 is divided by 479118?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*b - 2*l - 2, -4*l + 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -936, -655, -190, 459, 1292?\n\"Answer: 92*i**2 + 5*i - 1033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.61 - 0.01. Let l = 0.9 - r. What is the closest to 0 in l, -0.4, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -3f216b?\nAnswer: 3f216c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l**2 - 1. Let n(u) = -4*u**3 + 10*u**2 + 6. Suppose 28 = 10*w - 6*w. Suppose 57 - 15 = -w*z. What is z*f(i) - n(i)?\nAnswer: -2*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 6*j - 5. Let h be b(6). Let k = h + 7. Let r(s) be the second derivative of -s**3\/2 - 4*s + 1. Let x(c) = -c. What is k*r(m) - 9*x(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 224768 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 m, and 1 f when four letters picked without replacement from {m: 5, f: 3, e: 10, r: 2}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5046415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/120 - o**5\/30 + o**4\/12 - o**3\/6 + 2*o**2. Suppose -7 = 3*w + 2*g, 49*w - g = 54*w + 14. Calculate v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1299 + 8*z + 649 + 23*z + 33*z + 652.\nAnswer: 64*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -1, -39, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x**5 + 8*x**4 - 16*x**3 - 2*x**2 + 7*x - 6. Let d(i) = -4*i**5 - 7*i**4 + 15*i**3 + i**2 - 8*i + 6. Let k(a) = -4*d(a) - 3*q(a). Factor k(f).\nAnswer: (f - 1)**3*(f + 1)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6*k**3 + 43*k - 7 + 18*k.\nAnswer: -6*k**3 + 61*k - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42962929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/sqrt(2)*3 + -3.\nAnswer: -3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**3*o**3 + 9*f**3*o - 2*f**3 - 4*f*o - 199*o**5 wrt o.\nAnswer: 6*f**3*o - 3980*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = b - 91, 5*q + 3*b - 17 = 76. What is the remainder when q is divided by (21\/9 - 0)\/((-1)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 871 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55264.\nAnswer: 2, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55.6 - 56. Which is the nearest to -0.1? (a) 0 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-1)*(-10)\/25. Suppose 5*w - 194 = -y*f, -w + 3*w + 5*f - 81 = 0. What is the remainder when w is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 442.\nAnswer: -4862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-39)\/(-455)*-7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 43*g - 41*g - 1 + 181*g. Let f(c) = -2*c. Calculate w(f(v)).\nAnswer: -366*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/9 + 1\/(-1). Let k = 0.1457 - 0.1357. Put k, f, -1 in descending order.\nAnswer: f, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 54*x + 5. Let s be u(4). Let r(t) = -11*t - 23. Let f be r(12). Let k = f + s. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*b + 28\/3*b**5 + 524\/3*b**3 - 224\/3 + 1028\/3*b**2 - 268*b**4 = 0. Calculate b.\nAnswer: -1, -2\/7, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*t - 4*t. Let o(k) = -k**3 - 4*k**2 - 4*k - 2. Let y be o(t). Suppose -y = -p + 1, 0 = -l + 3*p. What is the highest common factor of 18 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3356 + 733. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.321 > 0.08688?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r + 40*r = -b + 9, -4*b - 3*r - 9 = 0. Let j(z) be the first derivative of -1\/14*z**4 + 2\/7*z**3 + 0*z**2 + b*z - 20. Suppose j(o) = 0. Calculate o.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2931\/4 + 1467\/2. Which is the fourth smallest value? (a) 19\/6 (b) 5 (c) y (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 30. Let r(q) = 9*q - 70. Let t(j) = 3*r(j) - 7*u(j). Let l(w) be the first derivative of -1 - 14\/3*w**3 + 0*w + 0*w**2. What is l(t(p))?\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3))**(-36)\/(((o*(o\/(o*(o*o\/o**0*o)\/o))\/o*o)\/o)\/o)**(-1\/15))\/((o*o*o*o*o*o*o**(-7)*o*o)\/o**(2\/7)*o**(-1)*o*o**(3\/5)) assuming o is positive.\nAnswer: o**(-893\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -39. Find the second derivative of 21*m - 12*m - 2*m**2 - m**s - 6*m**3 wrt m.\nAnswer: -42*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2952)\/6*12\/(-36). Which is greater: 490\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19617*n**3*x**3 + 3*n**3 + 5373*x**2 wrt x.\nAnswer: -117702*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 385 + -239. What is the greatest common divisor of v and 657?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.02898t in milligrams?\nAnswer: 93028980000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 816\/7*i + 1496\/7*i**3 - 1684\/7*i**2 - 144\/7 - 484\/7*i**4.\nAnswer: -4*(i - 1)**2*(11*i - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.85 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -247411124 and 2676.\nAnswer: -247408448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1650 and 450.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -845 (base 9) to base 11\nAnswer: -577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 > 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/(-24))\/(-9)*(-3)\/(-4).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 11*p = -90 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1994*w - 40 = 2002*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efefeeeefeefee. Give prob of sequence ffef.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 3*s + 0*s)*(2*s - s**3 - 2*s) + 0 + 797*s**4 + s**3 + 4 - 633*s**4.\nAnswer: 163*s**4 + s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 533617392 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -19*t**3 + t**2 + 3*t - 4. Let d be o(-5). Let k = d - 660. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1418040 and 1350?\nAnswer: 7090200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -668 * 0.2.\nAnswer: -133.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2. Let l(g) = -29*g + 13*g**2 - 11*g**2 + 26*g. Determine o(l(p)).\nAnswer: 12*p**4 - 36*p**3 + 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2697 (b) 3 (c) -254\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7141 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1) + 2\/(-4). What is the closest to n in 21, 0, 5, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99953753\/11220 - -788335\/88. Let q = -853\/17 + b. What is the common denominator of q and -71\/30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c115 (base 16) in base 5?\nAnswer: -3040204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 19 + 8*c**2 + 12*c - c**2 - 6*c**2. Let l be g(-10). Calculate the remainder when 3*l - (9 - 142) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*r + 2 + 14 = 0, 0 = 4*a - 3*r - 14. Let u(s) = s**3 - 2*s**2 + 2*s - 1. Let y be u(a). Solve -4*z = -2*n - n + y, -z + 5*n - 22 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 a factor of 1418056474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/17, 5\/2 in increasing order.\nAnswer: -0.1, 2\/17, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23332012 (base 4) to base 12.\nAnswer: 2445a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-7)\/(-21))\/((-129)\/9). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -317882 - -234337\nAnswer: -83545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -334, -328, -322?\nAnswer: -316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 6*m**2 - 7. Calculate n(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1043 (base 9) to base 13\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*16\/((-48)\/(-9))*4\/24*1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 429535 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 242*u + 55. Let o(w) = 232*w + 21. Let h(j) = -43*j - 4. Let c(z) = 11*h(z) + 2*o(z). Determine 55*c(g) + 2*x(g).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 403 + -745. What are the prime factors of w\/(-15) - (-4)\/20?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate d**2*n - 1202*d*m - m*n - 2*m + 257 with respect to d.\nAnswer: 2*d*n - 1202*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 20 = 4*y, 5*y = 21*q - 13*q - 3*q + 75 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*t + 26 = 0, 0 = 3*q + 3*t + t - 80. What is the remainder when q is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 3*t + 3. Let r = -38 - -17. Let g be 7*(-2 - 48\/r). Suppose 4*v - g*v - 13 = 5*z, 7 = -z - 4*v. Determine p(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -316*y - 2265. Give t(-7).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1196 - 1191. Solve -2*y = -r*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 14 = -4. Let j(f) = -f + 5 - 1 + 6*f. Let n(y) = -4*y - 3. Calculate l*n(o) - 5*j(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(330)\/sqrt(6))\/(sqrt(275)*1))**2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - 266 + 343 - 5*c.\nAnswer: -4*c + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -134*j**3 - 121*j**2?\nAnswer: -804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*b + 10*b, -b = 5*q + 3039. Let a = q + 668. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11 - 5 - 40*s - 53 wrt s.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -4.63.\nAnswer: 18.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 3, 11*y = -4*c + 16*y + 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 = -5*c + 35, 3*c - j = 28. Suppose -6*x + 15 = -c*x. What is the common denominator of (-152)\/(-240)*x\/2 - 2 and 83\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*(78\/9 - 10). Let x(o) be the first derivative of 1\/6*o**3 + 6 + 0*o + 0*o**z. Factor x(j).\nAnswer: j**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10\/13 + 7\/26. Let y(r) = -8*r - 6. Let q be y(-1). Let j = -0.3 + 0.2. Which is the closest to j? (a) p (b) -4\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 597 = 4*h - 283. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(18)\/sqrt(6) + sqrt(3)) + 1 + sqrt(300))**2.\nAnswer: 4*sqrt(3) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**6\/60 - d**5\/60 + d**4\/24 - d**3\/6 + 5*d**2. Let b be w(1). Let q be (b + -1)*2\/4. Solve q*r = r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 658, 898, 1316, 1918, 2710, 3698, 4888?\n\"Answer: o**3 + 83*o**2 - 16*o + 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3676482 (b) -3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -27*o + 6. Let f(g) = 28*g - 7. What is -5*c(m) - 4*f(m)?\nAnswer: 23*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/5 + 3 - -4. Let b(r) = r - 1. Suppose -z - 5*l + 26 = 0, 3*z - 3*l + 2 + 10 = 0. Let w(i) = -4*i + 5. What is a*b(p) + z*w(p)?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c (base 13) in base 9?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21470 - -30132. What are the prime factors of v?\nAnswer: 2, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3\/5 + 2944*g**2\/5 + 5876*g\/5 + 2936\/5.\nAnswer: 4*(g + 1)**2*(g + 734)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**5 + 2*s**4 - 4*s**3 + 3*s. Let l(i) = -5*i**4 + i**4 - 16*i**5 + 25*i**5 - 7*i + 9*i**3. Let y(w) = 7*h(w) + 3*l(w). Find t such that y(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 234*u**4 - 3 - 8*u - 478*u**4 + 249*u**4 + 2*u**2 as h + t*u**3 + k*u + p*u**4 + m*u**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 5*x + 68 = 0, 4*x - 170 = -4013*s + 4003*s for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*p - 19 - 63, -2*p = -2*j - 48. List the prime factors of 19 + j + (1 - -595).\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/25 and 2\/10 - ((-167)\/45 - -6).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u**3 - 5*u**2 + 6*u + 32. Let c be m(-18). Suppose -c = -9*p + p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 + 6*o + 6*o**2 - 11*o**2 - 1 - 4. Suppose 0 = 7*n - 5*n + 160. Let z be n\/(-14) + (-10)\/(-35). What is u(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -834 + 835. Is (-153)\/(-85) - g\/(-5) - -1120 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57105 and 371160.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 0*i**2 - 12 + 0*i - 146\/3*i**3. Let s(l) = -l. What is f(s(r))?\nAnswer: -146*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c. Let d(s) = 9*s - 30. Determine d(p(h)).\nAnswer: 27*h - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14106 - 2*h**2 + 14106.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 15) to base 2.\nAnswer: -1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -9. Let t = -0.05 - -6.05. Let i = t + m. Which is the second biggest value? (a) -0.1 (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 25 = 2*z. Suppose -2*m + 115 - 17 = 0. Suppose m = x - z*c, 0*x - 2*c + 21 = x. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*u + 226*u + 206*u + 109*u + 7*u to v*u + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*v + 2*s, -6*v + 4*v + 23 = 3*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -7. Let y = -5.0011 + v. Round y to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8960949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30, -66, -154, -318, -582, -970, -1506, -2214?\n\"Answer: -4*b**3 - 2*b**2 - 2*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.31 plus -1112980.1?\nAnswer: -1112980.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 2, 109 in descending order.\nAnswer: 109, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027602s in nanoseconds?\nAnswer: 27602000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 747452.9 decades in millennia?\nAnswer: 7474.529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2351 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1859 + 4894. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387*i - 82*i - 82*i - 68*i - 81*i - 77*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 14216*k - 1506739. Determine z(106).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 120590*q - 23515059. What is l(195)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-96)\/(-15) - 6\/15. Let m be ((-62)\/(-4))\/(1\/q). Suppose 3*p = -0*p + m. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Suppose -4*f + 21 = -t*p - 13, -3*f - 5*p + 40 = 0. Suppose -3*h - u + f = -0*h, 4*h = 4*u + 8. Which is smaller: h or 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -158 or -121795\/774?\nAnswer: -121795\/774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3097\/11256 + 17\/1608. Which is the nearest to -0.009? (a) y (b) -0.1 (c) 2\/19 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101408119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 272 and 204.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.53 + 19.8. Let l = 53.27 - v. Let t = 51 - l. What is the closest to 1 in -0.1, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 8 - 3. Let q be m\/12 - (-2)\/(-3). What is the nearest to -1 in 0.1, 1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) -533 (c) -5 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518.23379 minus -96.571?\nAnswer: 3614.80479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.31 or -15.17?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*c**2 + 52*c**2 + 8*c**3 - 99*c**2 - 2 in the form s*c**3 + j + m*c**2 + o*c and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.24465?\nAnswer: -1.22325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-26)\/65)\/((-2)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oohqqooqqoqoqoo. What is prob of sequence qh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**2\/2 - 4*c - 7. Let h be b(9). Solve -h = -z + 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233.03 - -233. Let p = -167 - -167. Which is the nearest to 2? (a) -2\/13 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 7 = -7*g - 26 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j = 33 + 33 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 2*s**2 - 2*s. Let c be (-1 - 0)\/((-2)\/(-4)). Determine x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 + 2)*(-3*v + 2*v - v)*(-27 + 20 + 36 + 22).\nAnswer: -714*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 1. Let l(r) = 7*r - 4. Determine -l(o) + 6*n(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4491368 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31279880339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 4*v - 284, b - 119 = -3*v + 86. Calculate the remainder when v is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 7:07 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 5:39 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 455449 = 72*o + 183793. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 82*d + 448. Determine g(-7).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.400008 - -7.4. Round h to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860057873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 - (4 - (0 - (1 - -2))). Solve 20 = -2*x + 6*x, 3*x - 7 = f*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171 + 227*h + 6*h**2 + 764 - 6*h.\nAnswer: 6*h**2 + 221*h + 593","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0 = -2*s + 8, -5*i = 3*s - 13. Are 3\/4 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*t + 2 = 3*t, -2 = -x + 2*t. Suppose 0 = -x*u - 18 + 56. Suppose u = k + 3*h, 2*k = -2*h + 39 - 17. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(88) + (sqrt(88) - (sqrt(88) - -1*sqrt(88) - sqrt(88))*4))\/(sqrt(2) - (sqrt(242)*3 + sqrt(242))))*5.\nAnswer: 20*sqrt(11)\/43 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*1 + 1628\/(-126). Let y = -106\/7 - d. Is y less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 34?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -156*b**2 - 1247*b + 5. Let o be p(-8). Put -10, 53, o in decreasing order.\nAnswer: 53, o, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-5)\/2*(-3 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52821 divided by -5869.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/53 or -2570511?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 - 0.04056265557188?\nAnswer: -0.11056265557188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 133*u - 143. Determine y(4).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1181 times 1\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -1, 3, 2\/7, 5, 5791 in decreasing order.\nAnswer: 5791, 5, 3, 3\/8, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -12157\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2951090303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 3*-2) + 7. Let n be (-2)\/(-33) - (-17)\/((-1683)\/(-16923)). Calculate the greatest common divisor of b and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*i + 21 = 0, 3*w = i - 2*i + 49. Let z be 1362\/w - 4\/6. Find the second derivative of z*x + 26*x**4 + 1 - 1 - 68*x wrt x.\nAnswer: 312*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + (-44)\/(-23)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -32*u**2 - 7*u - 7. Let b(s) = -32*s**2 - 6*s - 6. Suppose 0*x + 5*x = -35. Let f(i) = x*b(i) + 6*d(i). Let c(h) = -h**2. Determine c(f(w)).\nAnswer: -1024*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 - -62. Let h = k - 17. Let r be -2*(h - 4) + 36. Calculate the highest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 - (-39 + 0 - (-1017 + 988))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 1. Let d(w) = 7*w**2 + 7*w - 6. What is -d(c) + 4*u(c)?\nAnswer: -3*c**2 - 7*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + h - 3*k - 18, -5*k - 22 = 2*h. Let o = 0 - h. Suppose 8*d = o*d. Solve m + 0 + 5 = d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1856 is divided by 66.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2 + sqrt(891) - sqrt(11))**2.\nAnswer: -32*sqrt(11) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 47 - 33. Let f be ((-7)\/14)\/(2\/i). Solve -x + 5*x + f = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -392111.4 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*n**2 + 119*n**2 - 382*n**2.\nAnswer: -175*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 349, -0.01, 5\/2, 1\/10?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**8\/6720 + d**7\/360 + 7*d**6\/720 + d**4\/2 + 6*d**2. Let n(y) be the second derivative of o(y). Determine n(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(0 + 0 - v**2) - 4*v**2 + 3*v - 3*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12761\/18 - -705. Let x = 2\/159053 + -14474027\/16223406. Calculate the common denominator of u and x.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976751 is divided by 1115?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - u + 12 - 48 = 0, -4*b + 5*u = -84. Let c = b - -11. Suppose 0 = -3*m - 0*m + c. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3059*s - 26 - 33 - 6115*s + 3058*s.\nAnswer: 2*s - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/7 + 166*t**2\/7 - 8223*t\/7 + 117450\/7 = 0. What is t?\nAnswer: 25, 54, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*y - 12, 40 = 6*y - y + 4*r. Suppose -30 = -4*l + 9*d - y*d, 0 = -2*l - 4*d + 2. Suppose 0 = 2*p + l*p - 350. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4698 divided by 29.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -6?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*y - 192 = 165 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6121 = -5*d - 4879. Let f = -1217 - d. Let a = f - 588. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 108 and 10.76747?\nAnswer: 97.23253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -283 - -350.6. Let l = 66.757 - j. What is l rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410513959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 13*k**2 + 7*k - 3. Let o(h) = 6*h**2 + 3*h - 1. Give -4*d(a) + 9*o(a).\nAnswer: 2*a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 832 - 2*j - 816 - 364*j**2 + 375*j**2 as o*j**2 + f*j + m and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (136\/(-6))\/(6\/(-18)). Suppose 5*c = 82 + t. Calculate the remainder when c is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 97 and -0.09.\nAnswer: -8.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -12*n + 112. Let k be c(9). Suppose k*w - 122 = -5*u + 35, 4*w - 169 = -u. Suppose 4*s + 1 = 861. Calculate the highest common factor of w and s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 7. Let j(l) = 8 + 10 - 3 + 3573*l - 1784*l - 1788*l. What is j(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2016 * 3.\nAnswer: 6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(4 - (-2485)\/(-15)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8395211?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 + 57\/12. Let w = q - 13. Let n = 14 + w. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17381\/2 - 8691. Are j and -1\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557836.885 less than 76853?\nAnswer: -480983.885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 2\/11 (c) 2 (d) -3 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/1*8\/(-16)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/980 and 67\/9065.\nAnswer: 36260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*y = -4, 8*p - 4*y = 4*p - 32. Sort 22, p, -1 in descending order.\nAnswer: 22, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/2 - 363*v**2 + 7442*v - 13428.\nAnswer: -(v - 18)*(v - 2)*(v + 746)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1270503953?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-21)*-1)\/(354\/(-1652)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (352\/(-55))\/(-8)*-2?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*t - 128*t - 2*k + 105 = 0, 3*t + k = 62 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/6 - 29*c**3\/6 - 275*c**2\/6 - 847*c\/6.\nAnswer: -c*(c + 7)*(c + 11)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/60)\/(2\/(-16)*2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxbxxxb. What is prob of picking 2 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -106?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**4\/s**(3\/5)*s**(-2\/5)\/s*s*s\/((s*s**(-4\/3))\/s) assuming s is positive.\nAnswer: s**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7382 - 12490*l + 18*l**3 + 12490*l - 7382.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + 40*t**2 + 197*t - 10. What is n(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16602 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r - 124 + 33. Let t be (-2)\/(-2) + (8 - 13) - r. Solve k + 5*s = 24 - 0, 2*k + t*s - 13 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 7*c + 31. Let q be v(-4). Calculate the highest common factor of 28805 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -9*z**4 + 96*z**3 - 277*z**2 + 154*z - 24 = 0?\nAnswer: 1\/3, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*v. Let i = -2063\/3572 + 29\/47. Is v > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 10*f**2 + 18*f + 11. Let d be j(-9). Let u = d + 89. What is the remainder when 250\/7 + 2\/7 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((i - 4*i + 5*i)*(i + i + 0*i) - 2*i**2 + 5*i - 5*i)*(-503*i + 2427*i + 1595*i) as x*i**3 + k*i**2 + m + q*i and give x.\nAnswer: 7038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -365 in descending order.\nAnswer: 11, 4, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -0.5 (c) 2 (d) -0.03 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvvwwgddndwnnvgd. What is prob of sequence ng?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+839\nAnswer: 839.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2194512.9941 + -2194422. Let d = q - 91. What is d rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m - 1149 + 1149 + 2*m**2. Give r(-6).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 12 = -2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 81 = 55 - 73 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 27\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 6 - o**3 + o**3)*(0 - 2 + 0).\nAnswer: -4*o**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2607 + -1856. Suppose -2*v = 3*w - 1144, -v - h = -0*w - 2*w. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 544200*y**5 - 2*y - 252101.\nAnswer: 10884000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + -2)**2 + sqrt(475) + -5)*-5 - (-1 + -6*(sqrt(19) + (sqrt(19) - (sqrt(19) - sqrt(171)\/sqrt(9))))*3).\nAnswer: -2369 + 111*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44591, -178357, -401285, -713363, -1114579, -1604921, -2184377?\nAnswer: -2852935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 777 = -114*n - 4615 + 156 - 806 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -5 (b) -1 (c) -8 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 339028.807 to the nearest 100.\nAnswer: 339000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5 = -2*k - 5*v, -3*v = 2*k + 4. Suppose k + 0 = g. Find the common denominator of -73\/12 and 309\/30 - (g + 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/22? (a) 1\/3 (b) 4 (c) 2\/11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v**3 - 1. Let f be p(1). Let s be 4*(-38)\/f + 1. Suppose 0*u = -3*u + s. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2918 and 2.674?\nAnswer: 2.3822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3512794, -3512793, -3512792, -3512791?\nAnswer: -3512790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -23. Let p = 4 - u. What is the closest to -2\/3 in p, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h**3 + 1. Let v be d(1). Put 3, -3, v, 1 in descending order.\nAnswer: 3, 1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -82 (b) 4\/7 (c) 328 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 3*z**2 + 3*z + 5. Let i be p(-2). Sort i, 1, 6 in increasing order.\nAnswer: i, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + (sqrt(5) + sqrt(15)\/sqrt(27) - sqrt(5) - (sqrt(40)\/sqrt(2) - sqrt(5)) - 5*(sqrt(5) + sqrt(5) + 3 + sqrt(5))*3)*2)**2.\nAnswer: 51512*sqrt(5)\/3 + 454913\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -5 + sqrt(2)*-1 + 3 + sqrt(8))*2.\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-43)\/(-5) - 4\/(-10). Suppose -f + 25 + 5 = -5*g, -35 = -5*f + 2*g. Let d = k - f. Solve -r + 5 = d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 287 + -289. Let r(s) = -3*s**3 - s - 2. Let y(a) = -9*a**3 - a**2 - 3*a - 5. Let k(q) = -11*r(q) + 4*y(q). Give k(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 13*s**2 - 18*s + 45. Calculate q(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4\/(2 + -1 + 0) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599300 divided by -5331?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjekkzkzzzj. What is prob of picking 2 z and 1 j?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 214\/(-535) + (-4)\/(-10). Let q(r) be the first derivative of -4\/3*r**2 + z*r**4 + 4\/15*r**5 - 1 + 0*r - 4\/3*r**3. Factor q(m).\nAnswer: 4*m*(m - 2)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1212408 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 67961 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -5\/83, -0.6, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**6\/120 + b**5\/40 + b**3\/3 + 1. Let p(o) be the third derivative of y(o). Find the second derivative of p(n) wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14180082 is divided by 94?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 3*o**2 - 12*o - 1. Let g be b(-5). Does 9 = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 418*k + 16. Let x be l(10). Suppose 4*y = 4*b - 4176, 6*y - 5*y = -4*b + x. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/30*(-6)\/40. Let x = 23\/70 - d. What is v in -36\/7*v**2 + 0 - 18\/7*v**4 - x*v**5 - 39\/7*v**3 - 12\/7*v = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 = 228*o - 539 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i**0))**(-2\/115)*i**(2\/11)\/(i**(-1\/14)\/i))**(-16\/7))**33 assuming i is positive.\nAnswer: i**(-525288\/5635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131781956 divided by -23956.\nAnswer: 5501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -51, -72, -93, -114?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3c26 (base 15) to base 16\nAnswer: 323d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/(-72) - 104\/(-18). Suppose -p = 5*v + 19. Is ((-174)\/v)\/((-4)\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 49. Let j(g) be the third derivative of g**4\/12 + 19*g**3\/3 + 48*g**2 - 3*g - 5. What is j(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5*b**6)\/(b\/(b\/b**(2\/9))*b*b*b*b*b*b*(b*b\/(b\/((b*b\/b**(-6)*b*b)\/b)))\/b*b))\/(b**(-8)*b**(3\/7)*(b**2)**(33\/5)) assuming b is positive.\nAnswer: b**(-3418\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - v - v + (2*v - v - 2*v)*(2 + 8 - 4) + 0 - 2*v + 0)*(4*v**3 - 2*v**3 + 0*v**3).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*v)*(-1 + 1 + 6*v) + (v + 28*v + 32*v)*(v + 0*v + 0*v).\nAnswer: 73*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*g = -24, -23*g = 7*x - 31*g + 6*g + 30 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-801)\/6)\/(-2 - 208) and 69\/8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 417*x - 8355288 - 1168158. What are the prime factors of x?\nAnswer: 2, 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4043 at least -4043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18856, -36799, -53808, -69883, -85024, -99231?\nAnswer: -112504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33597819.5 + -0.112941.\nAnswer: -33597819.612941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + 211130?\nAnswer: 211223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2020591*k**2*u - 8*k*u - 395*k + 21*u wrt k.\nAnswer: -4041182*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69545588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v**3 + 5*v - 4. Let f(g) = 4*g**3 + 3*g - 2. Suppose -5*m = -2*m - 15. Let x(j) = m*f(j) - 3*r(j). Differentiate x(w) wrt w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) + 12\/5. Suppose -2*s + 4*r = 12, 0*s - 3*r = -s - 10. Suppose -p - 9 = 2*p, -3*n = -s*p - 15. Solve 0 = b + k*b + n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 52 = 3*a + m, -a - 2*m = 49. Let n = a + 75. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -22544150341?\nAnswer: -22544150345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010011001101001011111 + -10?\nAnswer: 1001010011001101001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2\/5 - 18916*i\/5 - 3784 = 0. What is i?\nAnswer: -1, 4730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(66)*1)\/sqrt(6).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n. Suppose 3*c - 3 = 6. Let g(s) = 5 - s - 2*s + c*s + 6*s. Let d(v) = -7*v - 6. Let t(j) = 5*d(j) + 6*g(j). Calculate y(t(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 + 39*n**4 + 243*n**3 - 2619*n**2 + 4536*n.\nAnswer: n*(n - 3)**2*(n + 21)*(n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + o**2 - 2*o**2)*(-6*o**2 + 3*o**2 + o**2).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1736 and 28?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7261490287 to the power of 1\/2, to the nearest integer?\nAnswer: 85214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*x = 4*c + 5, -c - 3*x + 19 = 0. Suppose -c*m - 3*s + 160 = -2*s, 0 = 3*m + 3*s - 129. Let o = m - 36. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.66 + -55.66. Let x = s + 54.99. What is the third smallest value in -3\/8, 1\/2, 3\/7, x?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -b - 3*s + 9, b = 5*s + 21. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14751, 58814, 132185, 234864, 366851?\n\"Answer: 14654*v**2 + 101*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 20*a - 215. Let d be n(11). Let k = 35 - 24. Let l = k + d. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22671 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(357) - sqrt(357)*2)*-1)\/sqrt(7))\/((sqrt(24) + sqrt(1536)*2 + sqrt(24))\/(sqrt(968) + sqrt(968)*2 + sqrt(968))).\nAnswer: -110*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*j + 7*a - 2*a, 0 = -2*a - 6. Is (j + 1566\/(-12))*-22 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**3 + 4 - v**3 + 2 + 26*v**2 - 6 - 9*v**3.\nAnswer: -v**3 + 26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -24*l**4\/17 + 84766*l**3\/17 - 613442*l**2\/17 + 31100*l = 0.\nAnswer: 0, 1, 25\/4, 10574\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 26 = -4*m, 5*y - 4 = m + 17. Suppose 0*l - m*l - 4*c + 780 = 0, 0 = -2*l - c + 387. Calculate the least common multiple of 112 and l.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478717 is divided by 272.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrbbzzbqqbrqbubrzzyz. What is prob of picking 1 y and 2 r?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**3 - 1033*o**2 + 151*o + 27615. Give a(258).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 + 65?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 273 or 1095\/4?\nAnswer: 1095\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 594*z + 2487. Calculate the remainder when 275 is divided by l(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**4\/4 + 5*y**3\/3 + y**2 + 6*y + 2. Let x be n(-5). Find the common denominator of -97\/22 and 1\/x - (-415)\/100.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7346.004881 + -7346. What is s rounded to four decimal places?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 12. Suppose -906 = -u*m - 101. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 7\/6, -0.07, -10?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lglgllqllgqlgdgglllx. What is prob of picking 1 q, 1 d, and 1 x?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p**2 - 6055748*p + 3633456 = 0. What is p?\nAnswer: -302788, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1125 and 234.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*u + 2*u + 3, 3*z + 15 = 5*u. Solve -10 = 5*k - z*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 19*r + 12. What is x(-4)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521 (base 6) in base 10?\nAnswer: -409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:01 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -60, 0, 67, 2, -58 in decreasing order.\nAnswer: 67, 4, 2, 0, -58, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**4\/2 - 2526*n**3 + 477877*n**2\/2 - 1563822*n + 1327410 = 0. Calculate n.\nAnswer: -5145, 1, 6, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2 + 1028*c - 104720 = 0.\nAnswer: 140, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2334604 (base 7) in base 6?\nAnswer: -10151504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 16) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kto when three letters picked without replacement from {t: 1, x: 1, e: 1, k: 1, i: 2, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27395\/8304 - 7\/519. What is the common denominator of r and 3 + -5 + 406\/72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 7:57 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/2 - 30155*o**2\/2 - 113657964*o + 113673042 = 0. What is o?\nAnswer: -15078, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (172\/56 + -4 + 2\/(-4))\/(-2).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/24*(-18)\/(-28)*(-30)\/(-45). Let s = -3.89 + -0.11. Which is the smallest value? (a) -4\/7 (b) -1 (c) s (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 203520 and 35361600.\nAnswer: 141446400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -j + 1570, -6*j + c + 6242 = -2*j. Does 52 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 458, -845 in descending order.\nAnswer: 458, 3, -845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-14 + (5 - 1) + 19) - -27\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 1. Let d(i) = -26*i**2 - 4*i - 10. Let a(p) = -7*p**2 - p - 3. Let w(g) = 7*a(g) - 2*d(g). Calculate 2*m(b) - 2*w(b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -984 or -985?\nAnswer: -985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 111, 475, 1079, 1923, 3007, 4331?\n\"Answer: 120*y**2 + 4*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -21. Suppose 0 = 2*c + 8, 3*n - 3*c = -0*n - 6. Let l be (-1)\/n + (-2)\/(-4). Put -0.1, x, l in ascending order.\nAnswer: -0.1, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and 3.8.\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaaxxxaxaxxaaaaa. What is prob of sequence xa?\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -k**6\/8 + k**5\/60 + 9*k**2. Find the third derivative of w(g) wrt g.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c**3 + c**3 - 4*c**3)*(0*c - 3*c + 2*c) + (-1609 + 246 - 1550)*(-c**4 + 2*c**2 - 2*c**2).\nAnswer: 2908*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v**2 + 4. Let a(h) = h**2 + 7*h - 6. Let c be a(-8). Let w(x) be the first derivative of -x**4\/2 + x**3 - 9*x + 80. Calculate c*w(u) + 5*n(u).\nAnswer: u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 5*j + 3*m, 0 = -2*j + 3*m - 6*m - 51. Let w = -21 - j. Calculate the remainder when 35 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 14 = 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10568204.\nAnswer: 2, 109, 24239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -108, -767, -2518, -5907, -11480, -19783?\n\"Answer: -91*g**3 - 22*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 12*f. Let i(l) be the third derivative of -3*l**4\/8 - 216*l**2. Calculate c(i(p)).\nAnswer: -108*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 18 = -164*a + 159*a, 5*f = -7*a - 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5552, -11098, -16644?\n\"Answer: -5546*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -474*n - 8255. Let u = 100 + -30. Calculate the remainder when b(-18) is divided by u.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5870 is divided by 460?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**4 + 2*d**4 + d**2 + 0*d**4 - d**3 - 1 as v + u*d**4 + n*d**3 + y*d**2 + l*d and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3352143.292433 - -0.4?\nAnswer: -3352142.892433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 655 + -11?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 8*p**2 - 2. Is u(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -8 - 2. Suppose w*d + 4864 - 19674 = 0. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1\/6, -18, -24, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -29327.591 to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5118951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 32*z**2 - 105*z**2 + 40*z**2 + 36*z**2. Let d(v) = 2 - 3 - v**2 + 1. Give d(y(b)).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5*r + 14*b**4*r + 2*b**2 - 271*b*r wrt b.\nAnswer: -60*b**2*r + 336*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 3 - 10*p + 9*p. Let v(b) = -5*b + 2. Let h(u) = 4*m(u) - 5*v(u). Differentiate h(w) wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - sqrt(72)\/sqrt(3))\/sqrt(2) + sqrt(12) + sqrt(12) + sqrt(12) + (sqrt(12) - -2*sqrt(768)))\/(4*2*sqrt(100)))**2.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - 1 - (-756)\/324. Let l = 0 - -3. Is s at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 26*i - 267. Solve -i*b = -8*b - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110212311030 (base 4) to base 2.\nAnswer: -10100100110110101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/120)\/((-12)\/(-9))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*m**4 + f**3*m**2 + 3936*f*m**6 - 640*m**2 wrt m?\nAnswer: -48*f**3*m + 472320*f*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -186 - 88 + 273. Let h(u) be the second derivative of u**3\/3 - 4*u**2 - u. Determine -6*c(g) + h(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -118\/5. What is the second biggest value in -0.3, l, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -1206161?\nAnswer: -1206164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.7220388 rounded to 1 decimal place?\nAnswer: 16.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7417 is divided by 2273.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 1. Let c(t) = t**2 + 7*t - 1. Let n(r) = -c(r) + 2*z(r). Let k be n(-6). Let i = k - -11. Solve 1 = -i*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11726, -23448, -35170, -46892, -58614?\n\"Answer: -11722*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.94 + -0.06. Let l = 0.4 - 0.39. Let p = 3.99 + l. Which is the biggest value? (a) g (b) p (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 66048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -6. Suppose 30*h + 201 = -879. Let z be (h + 30)*(1 - 23\/3). Calculate the greatest common divisor of z and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**6 - 7*m**5 - 28*m**2 + 6*m?\nAnswer: 240*m**3 - 420*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -397 divided by -397.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/3, -1\/2, 0.02, -17.\nAnswer: -17, -1\/2, 0.02, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.3349km to micrometers.\nAnswer: 11334900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c - 18. Let v be (-2)\/c - (-8)\/(-36). Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0*d**2 + 7\/135*d**6 - 8\/45*d**5 + 0 - 2\/27*d**3 - 6*d + 11\/54*d**4. Determine s so that x(s) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 1) + (-80 - -73)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.142 (b) -11\/4 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 187*n**3 - 4 + 337*n**3.\nAnswer: 524*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 - 1746*j**2 + 97904*j = 0. What is j?\nAnswer: 0, 58, 1688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 16*i + 9. Let h be w(14). Suppose -3*k + 5*k = 122. Let u = k + h. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/207 and -29\/7038.\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2106 (b) 3 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1255720\/(-140))\/(14\/(-147)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/4 - 273*l. Factor n(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 4. Suppose -z*s = -3*s - 35. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1900) + -1 - 2*sqrt(1900)*6 - ((4 + sqrt(1900))*1 + 4))**2 + -5.\nAnswer: 1980*sqrt(19) + 229976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 281656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-8) - (-14)\/(-4). What is the common denominator of ((-1)\/2 - p)*-5 and 35\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 135. Let x be (h\/20)\/(2\/(-25)). Let j = x - 14. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67152377669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8418, 8404, 8400, 8406, 8422, 8448?\n\"Answer: 5*r**2 - 29*r + 8442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (310\/(-372))\/((-6)\/((-42)\/175))\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -90, -155, -194, -177, -74, 145, 510?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 6 + 3)*(3 + 4*w - 3) + w - 3*w + 0*w)*(-3 + 5 - 1)*(5 - 2 - 4) in the form z + c*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -76 - 131. Let h = 209 + q. What is the closest to h in -4, -1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.295888848 less than -26.45?\nAnswer: -20.154111152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -47. Suppose 186 = s - p*m, -5*s - 4*m + 2*m + 864 = 0. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8 + 8*x - 7*x + 8*x. Let t(z) = -5*z - 4. Suppose 2*j - 4*w - 12 = -10, -5*j - 3*w = 34. What is j*t(m) - 3*d(m)?\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 41 = 5*t. Suppose -80 = -t*n + 3*n. Let d = -7 + n. Let j(y) = -11*y**2 - 9*y + 9. Let k(l) = -5*l**2 - 4*l + 4. Give d*k(b) - 4*j(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 337, 501, 663, 823, 981, 1137?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59682 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) - (sqrt(133) + -2*sqrt(133)*2))\/sqrt(7) + 0.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49656211.\nAnswer: 11, 179, 25219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + 7. Let s = -22 + z. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49214321 a multiple of 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, 895, 2240, 4129, 6568, 9563, 13120, 17245?\nAnswer: 21944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78564 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 11\/11*-1. Solve 4*v = 3*d + 19, -d = -m*d + 2*v + 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30057583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 + 5*t - 144 + 11.\nAnswer: 5*t - 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 - 4*w**4 + 2*w**4 + (2*w + w**3 - 2*w)*(2*w - 4 + 4) + (3 - 4*w - 3)*(2*w**2 - 2*w**2 - 2*w**3).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 3*r + 2. Let g be h(-4). Let y = -4.2 - -0.6. Let j = 4 + y. What is the second biggest value in 5, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a**4 + 50*a**3 + 7*a**4 + 0*a**4 - 2 + 11*a**4 + 4*a**3 + 2*a**2 in the form o*a**4 + n*a**2 + b + s*a**3 + r*a and give s.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + 1159. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -13263 and 1.\nAnswer: -13262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1710 and -56\/55.\nAnswer: 18810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 50*y**2 + 37*y - 544. Let r be p(-49). Solve -r + 14 = -6*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 9. Let u be q(-5). Let h be -2 + u\/35 + (-14776)\/(-10). Let y = h - 1029. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 44\/3*h + 2\/3*h**2.\nAnswer: 2*h*(h - 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -18. Suppose 3*a + i = -0*a - q, -5*a + 2*q = 32. What is the remainder when (-10)\/a*14*2 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1352393 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140130302 (base 5) to base 8.\nAnswer: -2547152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-4) + 15\/(-4). Let z(n) = -2*n - 4. Let y be z(t). Let r(l) = 1 - 8*l - 3*l**2 - 2*l**y + l**2. Let h(p) = -p**2 - p. Calculate 6*h(i) - r(i).\nAnswer: -2*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l - 127636 + 127636.\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = -4*a + 2518. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 6*f - 1. Let q be u(6). Let b = -6 - q. Let y be (5\/4)\/((-8)\/(-32)). Sort -4, b, y.\nAnswer: b, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4160 = 132*y + 72*y + 56*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/447 and -79\/1938.\nAnswer: 288762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 117319\/390 + -3918\/13. What is the common denominator of 51\/4340 and g?\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7 - 9566*y**2 - 7*y - 2*y - 14 + 9565*y**2. What is v(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11146 + 0*x**2 - 10233 - x**2 to a*x**2 + k + z*x and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 + (0 - -3) + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -661*a. Let v(x) = -3393*x**2 - 3. What is z(v(j))?\nAnswer: 2242773*j**2 + 1983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3 - 4395004*q**2 + 2414384455186*q + 135219312574192 = 0. What is q?\nAnswer: -56, 1098779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -36*a. Let m(z) = z**2 - 1. Let n(b) = 5*b**2 - 4. Let s(d) = -4*m(d) + n(d). Calculate o(s(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -191735438 - -191735445.39999927. Let w = u + -7.4. Round w to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 9. Let m = -1006 - -1006. Give c(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 42*v + 547. Let q be t(-13). Put q, 22, 10 in decreasing order.\nAnswer: 22, 10, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 10486804?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-16)*(1 + 0\/(-3)). Which is the second smallest value? (a) 1 (b) 2 (c) -0.3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -91*m + 426. What is the tens digit of r(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 44*w**3 - w**2 - 497*w + 1. Let v(s) = -s**3 - s**2 - s - 1. Let q(z) = -i(z) - 2*v(z). What is the second derivative of q(l) wrt l?\nAnswer: -252*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12253?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*s - 5, -4*s - 1 = x. Find the second derivative of 3*m - 4*m**3 - 4*m + x*m**3 wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**2*x**3 - 12522*m**2*x**2 + 794*m*x**4 - m*x**3 wrt x.\nAnswer: 6*m**2 + 19056*m*x - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*f - 285 - 3 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 10:02 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 1. Suppose -3 = -3*d + 6. Let c be j(d). Suppose 3*k - 59 = -c*i - 0*i, 0 = 5*i + 2*k - 65. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108132 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 555.0547 milligrams?\nAnswer: 0.5550547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8649 divided by -8\nAnswer: -8649\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 119667331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 117 + 2739. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 35220?\nAnswer: 35215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/17, -2\/3, 4, 1.345, 0.8, 2 in increasing order.\nAnswer: -2\/3, -6\/17, 0.8, 1.345, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 71895, 287409, 646553, 1149321, 1795707, 2585705, 3519309?\n\"Answer: -f**3 + 71821*f**2 + 58*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 1004.\nAnswer: 200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.9 + 2.1. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -9*n**2 - 6*n. Let d(m) = -18*m**2 - 11*m. Let u(x) = 6*d(x) - 11*q(x). Determine u(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 27*y**2 - 4*y**3 + 5*y**3 - 23*y**2 - 6. Suppose -12 = 4*g + 2*x, -8*g + 5*g - 5*x = 9. Determine h(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20309 - 0.3?\nAnswer: 20308.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1529\/(-110) - -14)\/((-4)\/15). Sort i, -0.9, 1 in increasing order.\nAnswer: -0.9, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 16 = -5*g - 4*q, -4*g + q = -10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4515 - 1904. Let x = z + -2610.3094. Let i = 0.7 - x. Round i to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of (86\/4)\/((-249)\/(-11454))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - t = 110, 4*o + 102 = -4*t + 6*t. Let q = o + -9. Let z = q - -32. Solve 0 = -v - 3 - z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920519 is divided by 7562?\nAnswer: 7333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**3\/3 + 7*t**2\/2 + 8*t + 1. Let g(d) = -444*d - 11550. Let b be g(-26). What is u(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -97.03 - -96.93. Let x = -21 - -8. What is the third smallest value in x, -2\/13, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t - 5. Let u = 6 - 11. Let i(r) = -1. Let k(x) = 4. Let q(a) = -7*i(a) - 2*k(a). Calculate u*q(o) + f(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -26*m**2 + 2. Let s(q) be the second derivative of -113*q**4\/4 + 27*q**2\/2 + 1386*q. Calculate 27*h(w) - 2*s(w).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2. Let f be (-6)\/45 - 182\/(-15). Let d(n) = -7*n + 10*n - f*n. What is r(d(l))?\nAnswer: 81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/1*(-13)\/(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b**3 - 43*b**2 + 3*b + 3. Give t(-8).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603 - 514 - 148 + 9*w.\nAnswer: 9*w - 1265","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2078849990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -104 (b) 78 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 2 + q**3 - 4*q**2 - 3 + 3*q**2. Let d(r) = -3*r - 2. Let u be d(-3). Let j(w) = -w + 6. Let p be j(u). Give k(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + r**2 - r - 1. Let h(s) = -3*s**4 - 9*s**3 - 12*s**2 + 9*s + 9. Let v(d) = -h(d) - 9*n(d). What is the third derivative of v(p) wrt p?\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.6985, -0.5, -184, 5.\nAnswer: -184, -3, -0.5, 1.6985, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from {q: 10, n: 2, k: 3}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 7:48 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3957 + -3951. What is the second smallest value in -5, b, 0.2, -1.6, 0.04?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -41. Let w(z) = z**2 + 1. Let l(r) = 28*r**2 + 14. Give f*w(u) - l(u).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 39*j + 5. List the prime factors of u(2).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -376*v. Let n(q) be the second derivative of 3*q**3\/2 + 2*q + 1140. What is o(n(x))?\nAnswer: -3384*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/(-9)*170\/8 and -17\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 13.9264. Let m = d + 29.6264. Round m to 0 decimal places.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 515846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = -2. Let c = f + 10. Solve -3*k - c = -r, 2*r + 3*k = -6 - 17 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a2a8 (base 11) in base 2?\nAnswer: 110111010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 6. Let f be q(-6). Suppose -17 = -3*z - 5. Suppose -z*n + 0*n + 68 = f. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**3 - 635*f - 747*f + 1382*f + 3*f**2 + f**3.\nAnswer: -10*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -1\/90*d**5 - 1 + 1\/72*d**4 - d**2 + 0*d + 1\/18*d**3. Let m(p) be the second derivative of w(p). Factor m(k).\nAnswer: -(k - 1)*(2*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**2 + 3*z - 1. Let f(w) = -w**3 - 3*w**2 + w + 4. Let c be f(-3). Let j be d(c). Sort -1\/2, 0.1, j in descending order.\nAnswer: 0.1, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t + 1. Let d(g) be the third derivative of g**4\/24 - 17*g**3\/6 - 2*g**2 + 2*g + 15. Determine -d(y) - 4*x(y).\nAnswer: 3*y + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = 25*g + 35 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1271 is divided by 243?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 6. Let v(j) = -4*j - 7. Let u(f) = -f**3 + 7*f**2 + 7*f + 2. Let w be u(8). Let m(i) = w*n(i) - 5*v(i). Calculate m(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 574 - 547. Calculate the highest common divisor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*h - 18336 = -14608 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/(165\/3) + 325114995\/(-100)*-4. Round b to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -210 (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2095 (b) 3\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19517 take away 4?\nAnswer: -4.19517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let h(f) = -45661806*f**2. Calculate g(h(y)).\nAnswer: 45661806*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*a - 6 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 42, 66, 86, 96, 90?\n\"Answer: -k**3 + 4*k**2 + 19*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + -1.96. Let a = 3 + z. Let h = -1.4 + a. Sort h, -2, -3 in descending order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2015803, -2015801, -2015799, -2015797?\nAnswer: -2015795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u**3 + 2*u**2 - 1. Let o be b(-1). Let h = o - -24. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1891830.\nAnswer: 2, 3, 5, 19, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.36, 622, -4\/3?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*i*v**2 + 1908*i + 5*v**2 with respect to v.\nAnswer: 184*i*v + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -13*t - 4. Let l be h(-6). Suppose -j + 152 = 5*s, 2*j - 200 - l = -4*s. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-3))\/((-4)\/54). Solve -s - 2*s = -c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -0.055?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32919631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 5*h - 2. Let o be w(-6). Let a = o - -4. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.796972997 to three decimal places.\nAnswer: 0.797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*s + 19, -i = 3*s - 0*s - 3. Suppose 2*t + 2 = 6, -s*t - 148 = 4*h. Let l = -43 - h. Let v(z) = 2*z + 7. Give v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-33)\/2)\/(51\/68). Let s be x\/(-28) - (-7)\/(-14). Suppose 0*a - 2\/7*a**2 + s = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-260)\/312*9\/20. Suppose 2*h - h = 0. What is the nearest to 1 in c, -13, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 460*c**4 + 2*c**3 + 2*c**2 + 2*c**3 + 458*c**4 - 3*c as u*c + i + a*c**3 + d*c**4 + y*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + (-3*(sqrt(1088) + -1 + sqrt(1088)))**2.\nAnswer: -280*sqrt(17) + 39177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 10:36 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 3. Suppose -2*z + j + 20 = 5*j, -7 = -z + j. Calculate the greatest common factor of p and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3))**(3\/26)\/(((((n*(n*n**(-6))\/n)\/n)\/n*n)\/n*n)\/(n\/(n*n*n\/(n\/(n*n*n*n**5*n)))*n)) assuming n is positive.\nAnswer: n**(-38\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 7. Let f be z(0). Let d(s) = 3*s - 10. Let r(p) = -1 + 3 - p + 1. Let q(i) = f*r(i) - 2*d(i). Find the first derivative of q(w) wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 3*t**2 + 6*t. Let w = 15 + -18. Let r = -2 + w. List the prime factors of y(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129454 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -1 + (-5)\/4*408\/(-170).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 14 = -2*d, 465 = -5*h + 3*d + 445 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 290 and 1480?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(152) + sqrt(152))*3)\/(-6*sqrt(392) + sqrt(8)))**2.\nAnswer: 4275\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxz. Give prob of sequence xxzx.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*50\/(-44) + -3. Let y = 84 + -82.69. Let z = 1.21 - y. Put z, -4, -5\/6, j in descending order.\nAnswer: z, j, -5\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b = 0. Suppose 0 = 5*g - 4*v + 5, b = -g - 5*v + 25 + 3. Solve g*c = -7 + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 16*i**2 - 18*i + 26. What is the units digit of m(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*f**4 + 210295*f**3 + 859067*f**2 + 12.\nAnswer: -648*f + 1261770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**2. Let u(v) = -3*v**2 + 5*v - 5. Let f(y) = 2 + 2 + 8*y**2 + 1 - 12*y + 7. Let q(p) = -5*f(p) - 12*u(p). Calculate q(r(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (798\/(-1064))\/(6\/(-80)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/296050 and -73\/59210.\nAnswer: 296050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/18 - (-8)\/(-16). Which is the third biggest value? (a) 2 (b) m (c) 0.5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 + 4*w**2 + 2*w. Let h(i) = -i**3 + 5*i**2 - i + 10. Let d be h(5). Let x(b) = -4*b**3 - 7*b**2 - 4*b. Give d*k(f) + 3*x(f).\nAnswer: -2*f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -14. Suppose 4*r - 3*y - y = -16, j = -4*r + y. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w. Let n(d) = -2618*d**2 - 3462*d**2 - 3095*d**2. Calculate l(n(b)).\nAnswer: 18350*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + (-194)\/(-4). Suppose -4*c = -q + 4. Suppose -4*r - 4 = -4*s, 5*s = c + 4. What is the lowest common multiple of 11 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 310413 (base 5) to base 10\nAnswer: 10108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41298, 82229, 122412, 161475, 199046, 234753, 268224, 299087?\nAnswer: 326970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5048000 to the nearest one hundred thousand.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + 6*x**2 + 2*x + 6. Determine m(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 a when four letters picked without replacement from rraaaaar.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6789001l?\nAnswer: 678.9001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**11*v*v*v**(-6\/7)*v*(v*v*v*v**(-2\/13)*v)**(-13) assuming v is positive.\nAnswer: v**(-258\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -86940.3968 rounded to the nearest 1000?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 95\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5155220.72 to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1502 (b) 6.1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544997 is divided by 54475?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*k**3*x - 15*f*k**2*x**2 - 5*k**3 + k**2*x + 4*x**2 wrt f?\nAnswer: k**3*x - 15*k**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20)*(-520)\/(-156)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o - 10. Let h be o\/2 - (-1)\/2. Differentiate -6*b + 0*b + h*b - 2 wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(66\/(-4)))\/((-10)\/45)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3367*d**2 - 3367*d**2 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 17, -0.035, 5, 0 in decreasing order.\nAnswer: 17, 5, 0, -0.035, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 50*o - 3. Let a(m) = 23*m - 1. Let k(j) = -7*a(j) + 4*s(j). Let u(b) = -20*b + 3. Give -3*k(t) - 5*u(t).\nAnswer: -17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235228 is divided by 9392.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 4) + 6 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/45 + (9\/81 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 56\/3*(-15)\/(-10). Let w = -56 + 58. Factor -h*v**w + 107*v**3 - 82*v**3 + 2*v - 6*v**4 - v + 3*v.\nAnswer: -v*(v - 2)**2*(6*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(sqrt(539))**2.\nAnswer: -3236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.07 + 11. Let z = 0.33 - i. Sort z, -1\/3, 1\/4 in decreasing order.\nAnswer: z, 1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/19, 44, 20\/63?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 29.6565?\nAnswer: -25.6565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -520, -1036, -1552, -2068, -2584, -3100?\n\"Answer: -516*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p*p*p*p*p**(2\/3)*p*p))\/p)*p*p)\/(p\/(p**2\/p))*p**(2\/3)\/(p*p\/p**(-5)))\/((p*p**(4\/5))\/(p\/p**(-1\/2)))**(-13) assuming p is positive.\nAnswer: p**(247\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1883600902 and 388.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16.36 and -3.\nAnswer: 49.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 5:38 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26921727?\nAnswer: 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2. Let n = -2.79 - -3.29. Which is the closest to -2? (a) n (b) y (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -5 (c) -2\/5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189343, -189355, -189391, -189463, -189583, -189763, -190015, -190351?\nAnswer: -190783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-124))\/((-152)\/2356).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.2 (b) 4\/9 (c) -0.2 (d) -5 (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 6*r**2 - 7*r + 3. Let f be y(-7). Suppose f + 1 = t. Suppose o - 53 = -b, b = t*o - 9 + 72. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 - (-2)\/((-2)\/5). Suppose -i*j + 24 = 4*n, -5*j - n + 2*n = -19. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 708738?\nAnswer: 2, 3, 19, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 1:56 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55202?\nAnswer: 2, 7, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3783170879 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -4*x - 52, x - 16 = -3*g - 49. Suppose -3*m + 0 = -6. Calculate the common denominator of m\/g*65\/2 and -19.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + h - 12 = 6, 4*i - h - 22 = 0. Suppose 6*b = b - 5. Let t = b - -3. Solve i*g + 15 = t*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28431 divided by 36\nAnswer: -3159\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 + -101. Let i(w) = -w**2 + 5*w + 3. Let g be (-1 + 0)*(-11 - -16). Let n(m) = m**2 - 6*m - 4. Give a*n(c) + g*i(c).\nAnswer: c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6615 and 21168?\nAnswer: 105840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c - 24 + 11 - 36 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -0*w + w - 10, 0 = -3*w - 4*y for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -46, -5\/4, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4 - (-341)\/(-372)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 2*n - 69. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1742 - 71\nAnswer: -1813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -256 + 276. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + 11\/4. Let z be (-1)\/(-2)*(22 + 0). Solve -k*s - 4*i = z, 0 = -s + 4*i + 1 - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**2 + d - 2. Calculate a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188 and 3854?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 + 0*y**4 + 2*y**2 + 2*y**4 + 0*y**2 + y**4 + 4*y in the form z*y**4 + r*y**2 + m*y + i + s*y**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -1 (b) -2\/7 (c) 0.1 (d) -5 (e) 5\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvvppvpvpvpvvpvvvv. What is prob of sequence vv?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-3))\/(((-8)\/(-96))\/(81\/(-1080)))*-25.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5683 <= 5693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 111, 110, 109, 108?\n\"Answer: -r + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {n: 6, d: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 10*w**2 + 47*w + 134. Let s be h(14). Which is the fourth smallest value? (a) -1\/2 (b) -22 (c) -1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224646031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-8) + 11\/4. Let i be 1*(3 - 3 - k - -8). Suppose -4*t + 0*n = -i*n - 54, -30 = -2*t + n. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 12:55 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x - 45 + 72 - 2*x**4 + 130 - x - 56*x**2 wrt x?\nAnswer: -8*x**3 - 112*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/26 and -21\/358.\nAnswer: 4654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/6)\/(254\/762).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -54*b - 630. Give q(-14).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245450, 245451, 245452, 245453, 245454?\nAnswer: 245455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1 (b) 4\/9 (c) 540\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 22*q**5\/15 + q**4\/2 + 29*q**3\/6 - 12*q**2 + 2*q. List the prime factors of z(-2).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 2, w: 4, s: 7, b: 3}. What is prob of sequence ww?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78840 and 14090460.\nAnswer: 4380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 271, -3, -38, 1, -5, -1 in ascending order.\nAnswer: -38, -5, -3, -1, 1, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i - 46*i = 104 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 14*l. Let y be r(-14). Put 0.2, y, 1\/2 in descending order.\nAnswer: 1\/2, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*v - 60. Round v to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -550 + -1104. Is v\/(3\/(75\/(-10))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 5*r**2 + r - 7. Let s be m(-3). Let p(q) = 2*q**2 - 16*q - 6. Let l be p(s). Which is greater: l or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/9*87\/(-3). Which is smaller: 28 or w?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70492471.\nAnswer: 7, 739, 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i + 33. Let o be r(6). Let p = o - -35. Let w(g) = 2*g**2 + 2676 - 2663 - g**p. What is w(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138963040 divided by -5?\nAnswer: 27792608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 303.082 to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 0.04811.\nAnswer: -0.009622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 1066*q**2 + 1068*q.\nAnswer: -2*q*(q - 534)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 964404 = -62*l + 98*l. Is l a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 = -z - 3*v, -3*z - 951 = -5*v - 60. Find the common denominator of 30 and z\/80 - (1 - (-2)\/(-2)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*a - 80, l - 5*a - 8 - 12 = 0. Let i = l + -17. Let h be (-36)\/i*(-4)\/3. Solve h + 3 = 3*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43278 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154841 is divided by 491?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*12\/16*52\/6. Let m be (-1 + 2)\/(13\/i). Suppose -2*t - 2*o = -482, -2*o = -m*t + 3*o + 955. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1022 - -1021)*(-3)\/(-2)*1\/15. Which is the nearest to 0.2? (a) 1\/8 (b) -43 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36681 divided by -36681?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 15*x - 116. Let z be j(8). Suppose 8*f - 12 = -z*w + 6*f, 4*w + 3*f = 10. Solve -6 = -w*b + 10 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/690420 and -69\/874532.\nAnswer: 13117980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 5*f**2 - 997*f - 419. Determine r(30).\nAnswer: 1171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/2 + 44*o**3 + 1152*o**2 + 4096*o - 131072.\nAnswer: (o - 8)*(o + 32)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4969\/6)\/(5\/3). Let q = 498 - l. Calculate the common denominator of q and (147\/((-21)\/(-3)))\/((-66)\/4).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 422 + -4646\/11. Put q, 2\/3, 2 in descending order.\nAnswer: 2, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = -105 - 15. Let k = q - 11. List the prime factors of 4*k\/(-4) + 43 + -2.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.043 - 0.044. What is l rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6861420 - -0.41.\nAnswer: 6861420.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5128, 10275, 15474, 20731, 26052, 31443, 36910?\n\"Answer: t**3 + 20*t**2 + 5080*t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.04 - -1.96. Let h = -41 - -43.3. Let t = w - h. Which is the second smallest value? (a) t (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c2b1 + 3?\nAnswer: c2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2 - 3*s + 1. Let b be t(1). Suppose w - b = -2. What is the nearest to 1 in w, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -186, -265, -334, -387, -418, -421, -390, -319?\n\"Answer: n**3 - n**2 - 83*n - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 96*s**2. Let x(j) be the second derivative of -j**4\/3 + 692*j + 1. What is w(x(q))?\nAnswer: 1536*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**2 + 0*j**2 + 4 + j**2 - 2*j)*(-24 + 24 + 42*j**3).\nAnswer: 294*j**5 - 84*j**4 + 168*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1590.296um?\nAnswer: 1.590296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(588).\nAnswer: 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + r - 13 = 0, -2*l - 13 = -5*l - 4*r. Suppose 0 = -y + 2*p + l*p + 18, 0 = -y + p + 2. Let q be -1*(y + 2 + -9). Solve b = q - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61839.34 millennia to years.\nAnswer: 61839340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/819*(-4396)\/(-1727)?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083581 rounded to the nearest 10000?\nAnswer: 2080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from otottow.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 + 80*q**3.\nAnswer: 5*q**3*(q + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxzwwqqqqqmxqwmz. Give prob of sequence xwqm.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 4, 3\/10, 5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/121 - -125\/484. Let q = -19 - -15.4. Let o = q - -0.6. Sort o, x, 2\/9 in increasing order.\nAnswer: o, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Suppose 0 - q = -p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*h = 6*h - 10*h - 165 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -123919\nAnswer: 123907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*s - 0*s + 28, -s - 5 = 0. Suppose -4 = l - n. Let t be 1 - 28\/6 - (-10)\/15. Which is the third biggest value? (a) 0.1 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1747*l - 5076. What is w(3)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/45594 and -1\/5202?\nAnswer: 775098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*y + 426 - 428 - 134*y**3 + y**2 - 3*y**4 + 132*y**3 - 3*y**2 - 3*y**4 in the form g + l*y + d*y**2 + p*y**3 + s*y**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-24 - (-63 - -29))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -391 + 392. What is the closest to 0.55 in -5, g, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 11. Let g(l) be the first derivative of 0*l + 0*l**5 + 0*l**3 + 0*l**o + 1\/12*l**4 - 1\/18*l**6 - 2. Let g(p) = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.8688 + 0.1312. Is -28 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -86\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44760515783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-1 + 3*-4). Let r = p + -9. Solve 4*x + 3 = r*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-19)*n)**(-3\/7)*(n*n**(1\/2))**(28\/3) assuming n is positive.\nAnswer: n**(152\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 93*g + 121. Let d be c(-3). Let i = d + 158. Solve 4\/3*a + i - 2\/3*a**2 = 0 for a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(200) + -2 + 0)**2 + 1.\nAnswer: -60*sqrt(2) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/450 and 97\/1200?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 84 * -17\nAnswer: -1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*k**2 + 7419*k + 13380.\nAnswer: 3*(k + 223)*(11*k + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let n(o) = o**2 - 7*o - 11. Let t be n(8). Let q be r(t). What is the second derivative of -j**q - 3*j**3 + j + 0*j wrt j?\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 13*x + 17. Let f(i) = -i**2 - 14*i - 17. Let d(v) = 2*c(v) + 3*f(v). What is the tens digit of d(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 12:24 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27 - -23) + (-12)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 90*u**3 - 9*u**2 + 9*u - 1. What is the remainder when 526 is divided by m(1)?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 82.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -67. Suppose 3*q = 45 + r. Suppose 22*c - 81 = q*c. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1573))*-2 + sqrt(1573) + sqrt(1573) - (2 + (sqrt(117) + 2*sqrt(117) + sqrt(117))\/sqrt(9)))**2*3.\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*s**2 + 158*s - 44 = 0 for s.\nAnswer: 22\/57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4867237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - m + 3*t - 5*t + 15 = 2, 123 = -25*t + t - 17*t for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -5*t - 62, -2*v - 18588 + 18522 = 5*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -12249.8 to the nearest ten.\nAnswer: -12250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1 (base 14) to base 2.\nAnswer: -10011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f - 327. Let b = -69 - f. Suppose 7*c = 2*c - v + 65, -2*v = -2*c + 14. What is the lowest common multiple of b and c?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 + 82. Let w(f) = 3*f + f**2 - 1027*f**3 + 1 + 955*f**3 - 2*f. What is the units digit of w(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410122 (base 5) to base 4.\nAnswer: -3031222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14322267743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24602*v**4 - 24600*v**4 + 4930 - 38*v**3 + 49206*v**4 + 3*v**2 wrt v.\nAnswer: 16*v**3 - 114*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 216395669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17*c*y*z + 4*c*y + 33*y wrt z?\nAnswer: 17*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 74*u**3 - 3*u**2 - 7*u + 9. Is i(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1482437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 69 = 6*j. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + w + 1 + 3, -5*b = 3*w - 16. Suppose -b*i = -2*d + 698 - 28, -4*i + 1684 = 5*d. Is 42 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258979006295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75.21 - 6136.99. Round a to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4530416 by -8.\nAnswer: -566302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 4*q**2 - 3*q + 14. What is f(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -937 - -943. Solve 2*m + a = -2*x, -3*m + 5 = -5*x - 6*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + (-60 - -65) - 51.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 7. Let w be n(-6). Let y = 5 - 10. Let a be 8\/(-6) + (-1)\/(-3). Put y, a, w in descending order.\nAnswer: w, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11558115*i**3 + 11558115*i**3 - 1542*i**5 - 2 - 104*i - 4205*i**5 wrt i?\nAnswer: -114940*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - -47 - 104) + (2 - -13) - -22?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*n - 7 + 25 = 0, -15 = -3*z + 2*n. Suppose -3*v - 3*a + z = 0, -a + 5 = 4*v - 2*v. Let p(b) = b**2 - 2*b + 3. Give p(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1275*x - 1421*x + 730 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 12 = -3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57012570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7 - 29. Solve -4*l + m = 14, -l + 3*m - d = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -630*b**4 - 303863*b**3 + 1045699181.\nAnswer: -2520*b**3 - 911589*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 8*d + 26*d. Let u be (-8184)\/(-15) + (12\/30 - d). Calculate the highest common divisor of 42 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 8:33 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20200130 (base 4) to base 3\nAnswer: -1202210112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - (-1 - -9)) + 139?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58\/213 + 2\/355. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 + 33*l + 78 = 0.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/6 + 9*y**3\/2 + 15*y**2 + 2*y\/3 - 20.\nAnswer: -(y - 30)*(y - 1)*(y + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/36 and 2\/3 - (-13240)\/1200.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/4)\/(6\/16). Let p = -2\/11 + -3\/44. Let f = -1 + 1.5. What is the closest to p in -1\/10, f, q?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t - 10 = 0. Solve -t*a + 5*i = -22, 0*a = -4*a + 5*i + 24 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**4*t)\/t)\/t)\/t**(-2\/23))\/(t**5*t*t\/t**(-2)) assuming t is positive.\nAnswer: t**(-113\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/12)\/(1\/(-14)). Suppose -12 = 6*s - t*s. Suppose -i + s = -1. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -282665 - -566856. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 645*k**4 - 334750*k**3 + 42582885*k**2 + 221707020*k + 1716100 = 0?\nAnswer: -5, -1\/129, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d + 12*d = -14*r - 47, -33*d = -30*d + 5*r + 29 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 125 + -125.0165. Round l to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3617384 (base 9) to base 7.\nAnswer: -22444015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -13.6774.\nAnswer: 6.8387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270200*s + 270205*s = 4*t + 66, t - 57 = -11*s for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 4 + 62*r - 17 - 17.\nAnswer: 62*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 0*n**2 + 0*n**3 + 9\/2*n**4 - 51*n - 17\/42*n**7 + 0*n**5 + 0 + 0*n**6. What is the third derivative of p(f) wrt f?\nAnswer: -1020*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3852\/89 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9152 - -9563. What is the remainder when b is divided by 114?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(3584) + 1*sqrt(3584)) + sqrt(3584) + -6*sqrt(3584)*-2)\/(sqrt(392)*1 - sqrt(392) - (-3*sqrt(96))\/sqrt(12)))**2.\nAnswer: 21952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1203867021822.48559947 - 1203867012185. Let j = -9636.6056 + y. Let h = 0.88 - j. What is h rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (52\/12 + 5)*-3. Calculate the remainder when (-4 - o) + (3 - 0\/(-1)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffuroroofrorfooco. Give prob of sequence urc.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7644 or -7914?\nAnswer: -7914","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - -1*(sqrt(85)*1 - sqrt(85)))\/sqrt(1620).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 62587\/(-5390) - (-1)\/(-5). Let r = w - -104\/7. Calculate the common denominator of r and 113\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2323100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1472338835 to the power of 1\/3, to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 570436465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*n + 30300575*i**2 - 2*i*n - 2*i - 19*n - 3561925 with respect to i.\nAnswer: -4*i*n + 60601150*i - 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 362263, 0 in increasing order.\nAnswer: 0, 5, 362263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/56 and -87\/3062020.\nAnswer: 42868280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 1. Suppose 2*a - 2 = -4*z, 2*z = a + a + 10. Suppose 0*j + z*j = 16. What is the highest common divisor of f and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 n when four letters picked without replacement from {h: 5, y: 5, n: 6, m: 1, q: 3}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 7*n**2 - 6*n + 1. Let i be t(-6). Let m be (2 - i)*(-2 + -2). Let v(a) = -a**3 - 3*a**2 - a - 2. What is the units digit of v(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.26 (b) -16 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12780 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(275))**2 + -3 + (sqrt(66)*1)\/sqrt(6) + sqrt(11) + sqrt(176) + -2 + 4.\nAnswer: 6*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 824 and 412?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-520)\/(-1350) + 4\/(-36) - (-3)\/(-15).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 16) to base 11.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/168 and -63\/8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**4 + 124*k**3 - 1188*k**2 + 2420*k + 10648 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 45 = -25. Suppose j*a - 5*z = 9*a + 1429, 0 = a - z - 1437. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 + -13. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -627, -1254, -1883, -2514, -3147, -3782?\nAnswer: -4419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -241.05 - -241. Sort -1, -11, s, 1\/6 in descending order.\nAnswer: 1\/6, s, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -154*h*i**3 - 2*h*i**2 - h*i - 386*h + 2*i**3 + 14672*i**2 - 81 wrt h?\nAnswer: -154*i**3 - 2*i**2 - i - 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3551)\/78122)\/(1\/(-902)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16*x**3 - 15*x**3 + 6*x**3 + 2*x**3 - x**3 - 2*x**3 + (2*x**2 + 2 - 2)*(-2*x - 3*x + 4*x).\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miuu. What is prob of sequence iu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 y when four letters picked without replacement from zyvyykvkvnvynzzvmyy?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, 1, 1393?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - q**5 - q**5 + 111*q**4 - 23*q**4 - q**5 + (2*q**2 + 3*q**2 - 4*q**2)*(-3*q + 3*q - 2*q**3).\nAnswer: -5*q**5 + 88*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*i + 4, 3*i + 2*i = -2*p + 8. Suppose 0 = 2*v - 5*d - 29, -3*v - 2*d - 3*d - 19 = 0. Find g, given that p - g**2 - v - 2*g - 2 - 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89472364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*16\/14*549\/(-5124)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 681752?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*o = -167, 73 - 5 = 2*x - 2*o. Let q = 57 - x. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*l + 54, 3*v - 12*l = -8*l - 47. Let p(u) = -u**2 - 23*u - 59. Give p(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -21 + (-3 - -5 - -1). Suppose s - 3*k + 11 = -13, 2*k = 6. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(19)*2*-5 + 2 + 2 + sqrt(171)*-2 + -1)**2.\nAnswer: -396*sqrt(19) + 82773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220720 and 372.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(720))**2 + sqrt(2940)\/sqrt(12) - 6*(sqrt(180) + -1)**2*-5.\nAnswer: -305*sqrt(5) + 6154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1144 = -6*l. Let g be l\/(-4)*10\/5. What is the greatest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 36*u. Let o(j) = 7*j. Let v be 10 + ((-4)\/(-6))\/(32\/(-48)) + -4. Give v*n(s) - 24*o(s).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 60. Suppose 0*p = -4*p + q. Suppose -2*m = -p*m + 40. Solve -2*d = -c + m, -2*c + 7 = -5*d - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 80 = -4*g - 98, -5*f - 140 = 3*g. Let z be 2*-2 + (-10 - -18). Which is the nearest to -2? (a) z (b) -4\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*k - 24, 65*i = 68*i + 3*k - 18 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + -12220011000?\nAnswer: -12220011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -38. Let w = 31 - d. What is the tens digit of (-8)\/w - (-130)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -11\/2*f**4 + 0 - 235*f + 47\/2*f**3 - 3*f**2 - 69\/20*f**5. Suppose w(t) = 0. Calculate t.\nAnswer: -2, 1\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + ((-2)\/2)\/(-1). Let u = 3 - 7. Let v(x) = x**3 - 27*x**2 - 26*x - 57. Let t be v(28). Which is the nearest to k? (a) u (b) t (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 80 = t. Let o be 42 + (-3 - -5)*1. Suppose 3*h - 2*k - o = 0, 3*h - 2*k + 7*k - 37 = 0. Calculate the remainder when t is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -32. Suppose 18 = d + x*i, 6 = 4*d + 4*i - 18. Let u(w) = 52*w**2 + 2*w - 3. What is the units digit of u(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - 8*t**2 + 3*t - 12. Let h(q) = -q**2 - 7*q - 6. Let o be h(-4). What is the hundreds digit of s(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a microsecond in nanoseconds?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -26542.27.\nAnswer: -26533.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-85)\/(-425) + (2 - (-132)\/(-10))).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 18727?\nAnswer: 9363.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b175 + -32b1?\nAnswer: 27a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3))**(-4)\/(s**(-1\/7)*(s**(-4)\/s)\/s))\/((s**(1\/2))**(-2)*s\/(s**(1\/3)*s*s)*s*s*s**(-1)) assuming s is positive.\nAnswer: s**(101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/((f\/(f*f**(-2\/51)))\/f)*f*f**(-1\/31)*((f**(-1\/3)\/f)\/f)\/(f*(f\/(f*f*(((f**(-30)\/f*f)\/f)\/f)\/f))\/f) assuming f is positive.\nAnswer: f**(-49651\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - 21*o + 14. Let b(u) = 3*u**2 + 32*u - 21. Let p(l) = -5*b(l) - 8*h(l). Let c be p(-8). Put 1, 5, c in ascending order.\nAnswer: c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f**3 - 31*f**2 - 12*f + 22?\nAnswer: -84*f - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 49. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {v: 2, e: 3, a: 3, m: 8}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0*z**2 - 6*z**2 + 3*z**2 - z**2. Let b(k) be the third derivative of -k**4\/8 - 2*k**2. Calculate x(b(h)).\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**3 + 36*c**2 - 375*c + 3376. Give x(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112857, -111201, -108437, -104559, -99561, -93437, -86181, -77787?\nAnswer: -68249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 11, -4.\nAnswer: -4, -2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -386. Suppose -4*g + s = -i, i = 3*g - 3*i - 267. List the prime factors of g.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/((-64)\/(-1120)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1397, 0.21, -1\/5, -3\/7 in decreasing order.\nAnswer: 0.21, 0.1397, -1\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 14 - 20 - 17 + 2*r to f*r + l and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/81*6\/(-28).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34410 is divided by 34394.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 1:27 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 - 2145 + 2139 + 20*q**3 + q**2 - 4*q**2.\nAnswer: 20*q**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 614 and 609 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 173 - 176. Let k(z) = -z**2 + 3*z - 4. Let p(w) = -3*w + 3. What is r*k(l) - 4*p(l)?\nAnswer: 3*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/20 and -1\/1255236.\nAnswer: 6276180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 576242245 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**4\/8 - c**2. Let v(r) = 3*r**2 - 126*r - 63. Let o(t) = -2*t**2 + 90*t + 45. Let g(h) = -7*o(h) - 5*v(h). Give g(f(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-480)*(-25)\/4\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3207 is divided by 445?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -136*a**2 + 7*a + 17. Let b be n(-3). What is the hundreds digit of b\/(-3) + (-4)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + 18. Let c(w) = -w**3 + 8*w**2 - 10*w - 4. Let q be c(6). What is the highest common factor of q and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 14*r + 12, -67*j = -32*j - 37*j + 4*r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2695753 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttdttttutttututtt. Give prob of sequence tud.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 - 10323?\nAnswer: -10310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h**5 + 4584*h**4 - 47865*h**3 - 594390*h**2 - 851532*h + 219096 = 0. What is h?\nAnswer: -179, -6, -2, 2\/9, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 9*b + 13. Let q be y(-10). Calculate the greatest common factor of 1127 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1710\/(-20))\/19)\/(36\/120).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/11468?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11526 + -5297. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 + 3*c - 3. Let t(b) = -12*b**2 - 8*b + 8. Let d = 115 - 117. Let y be (2 - 1) + -1 + 6\/d. Determine y*t(r) - 8*k(r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Let k(i) = -2*i + 7. Let c be k(n). What is the first derivative of -9*x**4 - 11 + c + 2*x**4 wrt x?\nAnswer: -28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 1224?\nAnswer: 7344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 2:40 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2051095?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 21 = 3*f + 5, 4*j - f - 126 = 0. Let m = j - 37. Which is the second smallest value? (a) m (b) -4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168177348 divided by 135846.\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 + -115. Solve -3*k - 24 = -3*c - j*c, -20 = -2*c + 3*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ri when two letters picked without replacement from rrririirriir?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1004 - -5?\nAnswer: -999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396400 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12157143*u**3 + 2628295*u.\nAnswer: 72942858*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71616, 71609, 71596, 71577, 71552, 71521, 71484?\nAnswer: 71441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u - 8. Suppose t = -t + 8. Let d be 1 + (-3)\/(-3) + t. Calculate the remainder when c(d) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 189. Let n = o - -49. Are -93 and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 8*k. Suppose -4 = -5*s - 3*x, -x = -k*s - 2*s + 6. Factor -29*h**2 - 3*h**s - 7*h**4 - 42*h**3 - 11*h**4 - 8*h.\nAnswer: -2*h*(h + 1)*(3*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 375 and 225?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 9. Let f be t(4). Suppose -8*w - f = -9. Let n = 283\/5 - 17268\/305. Is n > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*6\/4 - -7. Let u be (-567)\/(-15) + 2\/k. Let x = u - 31. Solve -3*s + 2*i = -4, 3*s = 3*i + x - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 3*o**2 + 5. Let d be w(3). Let r(k) = k**2 - 3*k - 6. Let u be r(d). Solve 0 = 4*a + u, 3 = 3*s - a - 2*a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 8. Let b be g(5). Suppose 0 = -9*p - b*p + 2475. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-1*sqrt(55)\/sqrt(5) - (sqrt(11) + sqrt(891) + -2)) + (((-2*sqrt(132))\/sqrt(12) - sqrt(11)) + 2)*-2))**2.\nAnswer: 500*sqrt(11) + 6975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 243386 and 55315?\nAnswer: 1216930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/526 and 47\/12.\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 104648729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 448\/(-49)*((-319)\/174)\/(88\/(-168))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23\/33 + 15\/11. Are 11\/5 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3582 and -1.655?\nAnswer: -5928.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express s**4 + 20*s**4 + 2*s**2 + s + 9*s**4 in the form b*s**4 + c*s**3 + y*s + h*s**2 + n and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*l + 6*l - 7*l**2 + 140*l**3 - 2*l**2 - 347*l**3 wrt l?\nAnswer: -1242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*p + 3*p + 7*p - 38 + 2*p + 6*p**2 with respect to p.\nAnswer: 12*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*w = 6*w + 8, -25 = -5*l - 5*w. Let r(u) be the third derivative of -u**4\/24 - 10*u**3\/3 + 10*u**2. Let j be r(-16). Sort 1, l, j.\nAnswer: j, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 471 or -0.06?\nAnswer: 471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2932*h**2 - 9*h + 9870*h**2 + 9*h as c + v*h + f*h**2 and give f.\nAnswer: 6938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + -2. Let o(n) = n + 11. Let x be o(v). Suppose x*z - 48 = -0*z. Calculate the greatest common factor of z and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**4 + 3*p**3 - 2*p - 14*p**3 + 9*p**3 - 2*p**2 - 3 + p**2 to the form q*p**2 + s*p + i*p**3 + l + o*p**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 2*j - j + 41, -v = -2*j - 2. Suppose 0 = v*m - 10*m + 4. What is the closest to m in 4, -3, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*k + 416 = 0, -2*w = -5*k + 6*k - 401. Calculate the remainder when w is divided by 175.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1450 + 2269. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 a when three letters picked without replacement from {g: 1, r: 10, x: 3, a: 4}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -44, 0.4, -26, -0.009, 0.5?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from gfjgfgegeggeggefge?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 105 - 1?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 5 - 5. Suppose 0 = 4*m + q*d - 3, m + m + 1 = -5*d. Suppose -25 = -2*o + 11. What is the lowest common multiple of m and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5\/5 + 4*t**4 + 16*t**3 + 32*t**2 + 32*t + 64\/5 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10810730057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*g + 29*g - 1716 = -28*g for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1181 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b**2\/3 + 1590*b - 4756\/3 = 0. Calculate b.\nAnswer: 1, 2378\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + n - 3, 4*x - 3*n + 8 + 1 = 0. Suppose -r + 2*p - p + 6 = x, 0 = 2*r + p. Find the first derivative of u**r + 2 + 2*u**2 - u**2 wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242626 (base 7) to base 12\nAnswer: -2170a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46216*i + 46188*i - 868. Sort 5, i, 0, -3, -2 in ascending order.\nAnswer: i, -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 622 + 291 + 331.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 + 166*b - 9. What is the remainder when 1263 is divided by z(33)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 64*a**3 - 553*a**2 - 5*a - 19541.\nAnswer: 192*a**2 - 1106*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -538 - -543. Suppose -150 = -r - 2*i + 5*i, b = i. Calculate the remainder when r is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3397 - -33943\/10. Suppose w - 3 = -2*w. Find the common denominator of (-3 + w)\/(18\/(-11)) and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 47627\nAnswer: 39\/47627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13137 less than or equal to 13136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76402\/5 - -15280. Which is the closest to -2? (a) j (b) -0.3 (c) 3 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**2 - w**2 + 0*w**2)*(1 - 1 - 4 - 2*w**2) as a*w**2 + n*w + v*w**4 + f + b*w**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -4 - (36 - 5)*574. Let m = -1423299\/80 - c. Find the common denominator of m and 76\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -276.45231 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99 - 121.5. Let w = u - -23. What is the second biggest value in -1\/4, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.073 + -0.417. Let d = -0.39 - h. What is the biggest value in 0.2, d, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6296 - 6295. Which is the nearest to o? (a) 4 (b) 33\/2 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x - 134 + 277 = -55 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*0.08.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001365 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*f*k**2 + 312*a*f - 361087*a*k**2 + 4*k - 4 wrt k?\nAnswer: 4*a*f - 722174*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**4\/5 - 162*q**3\/5 - 1248*q**2\/5 - 1998*q\/5 - 183 = 0.\nAnswer: -5, -1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*n**3 + 18415*n**2*t - 73*n*t + 463*t + 8194 wrt n?\nAnswer: -15*n**2 + 36830*n*t - 73*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/4 (b) 12\/137 (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(99\/(-12)))\/((-3)\/81). Let h be (-90)\/(-35)*((-224)\/6)\/(-2). What is the highest common divisor of h and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a + 5*a + 0*a + (-14*a + 11*a + 11*a)*(-1 - 3 + 5) + 0*a - 5*a + 2*a as m + h*a and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (1 - (2 - 6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4636 is divided by 221.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237 by 2726.\nAnswer: -237\/2726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uguuugjtoougi. Give prob of sequence jouo.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - 12*p - 94. Let w be x(-9). Is w less than or equal to -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31043 divided by 839?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (9 - 5 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14856 (base 12) to base 6.\nAnswer: 341350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/120 and -83\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 892, 809, 820, 937, 1172?\nAnswer: 1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59.735 or 0.08?\nAnswer: -59.735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18486?\nAnswer: 2, 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-123)\/164*104\/390?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299096713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, y: 6, i: 7}. Give prob of sequence lill.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 3. Let s be d(2). Suppose -23 = -s*r - 3*a, 3*r - 4*a - 10 + 2 = 0. Suppose 76 = r*g - 48. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -836\/14313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 684, 1369, 2054?\n\"Answer: 685*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -238 - -1119094.\nAnswer: 1118856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 17. Is (-6)\/8 - 599\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 - a - 5*a + a + a + (-a + 3 - 3)*(2 + 2 - 3) + a + 0*a + a + (2 - 4 + 0)*(-2 + 37*a - 39*a - 3) in the form r*a + x and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 34 = -0*p + 2*p, -3*n = 3*p + 3 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3)\/(4\/(41 - 5)). Suppose 2*a - 5 = -4*w + 1, r*w = -a + 5. Find the second derivative of 26*v + 1 - 24*v**w - 14*v - 1 wrt v.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 13, -6, 251.3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((0 + sqrt(272))*1 + -5 + 6*(sqrt(272) + (-1*sqrt(272) + -1)**2)).\nAnswer: 228*sqrt(17) + 4899","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 362*h**2 + 2 + 10*h - 231*h**2 - 8*h + 243*h**2 to the form k*h**2 + a*h + z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -16*j - 22. Suppose 10*w = 5*w + 15. What is the least common multiple of j and w?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 - 14*y + 114*y - 4 - 2*y**3 + 116*y as a*y**3 + u*y**4 + g*y**2 + p + c*y and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 170, 5 in descending order.\nAnswer: 170, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 396816896 to the power of 1\/2, to the nearest integer?\nAnswer: 19920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 q when three letters picked without replacement from tqqyhqlqqqttlqlqtq?\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60776 and 1498?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1713 (b) -4\/517 (c) -2\/15 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/12 - 2*s**3\/3 + 3*s**2\/2 + 3*s. Calculate c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211 (base 13) to base 8.\nAnswer: -4765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 5*r + r**2 + 3*r.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3 - 10 + 5*j + 299*j**3 + 6 + j**2. Is p(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phfaiiiiirfhpihra. What is prob of sequence hhr?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 64 = -32. Solve q*z = 3*c + 2*c, -2*z + 4*c = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27562903?\nAnswer: 103, 267601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6715198 or -6715199?\nAnswer: -6715199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*c**2 + 1 - 1 + 153*c**2.\nAnswer: 207*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0149 + -0.013. Round f to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -90, -119, -140, -141, -110, -35?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 22. What are the prime factors of g\/(-3)*4\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 3*i**2 + 4*i - 2. Let u be q(2). Suppose 9 = -u*o + 27. Calculate the least common multiple of o and 168\/27 + (-2)\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 10*w - p - 71, -w + 141 - 136 = -7*p + 2*p for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let o = 0.1 + -0.1. Let t = -1 - o. What is the smallest value in t, 0.4, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*-3*(-3)\/(-18). Suppose -4*z + 2*h + 4 = 12, 8 = -4*z - 4*h. Let x = w - z. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(15*t**5 - 14*t**2 + 14*t**2).\nAnswer: -15*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 101?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18146 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 5592.\nAnswer: 11184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 6 - 27. Let o be (-2783)\/46*(-1 + i). Let m = -117 - o. What is the nearest to 1\/3 in m, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/13 - (-1160)\/65. Suppose -u - 3*u + d = 2*a, 0 = a + 3. Suppose 5*t = 6*t - u. What is the lowest common multiple of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88579 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60776.\nAnswer: 2, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**3 - 6*m**2 + 11. Let o(q) = q**2 + 2. Determine i(d) + 6*o(d).\nAnswer: -6*d**3 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 3*f**2 - 11*f - 1. Let v be g(-5). Suppose 2*p = -2*t + 148, -3*t + 256 = v*p - 37. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -121*q**3\/6 - 1562*q**2 - 40328*q + 2923. Let r(n) = 0. What is n?\nAnswer: -284\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -m**2\/2 - 1. Let f(k) = -41357*k**2 + 2*k - 3*k + 41395*k**2 + k. What is f(u(o))?\nAnswer: 38*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2 - m**2 - 3 + m**3 - 7*m**3 - 2*m**3. Let n(j) = -j**3 - 1. Suppose 0*w + 5 = w, u - 2*w = -5. Give u*n(l) - y(l).\nAnswer: 3*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 16*i - 1. Let m(o) = o. Let t(q) = -6*m(q) + y(q). Suppose 6 = 4*k - 3*k - v, -k - v - 4 = 0. Give t(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 610, 20087 in ascending order.\nAnswer: 4, 610, 20087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - u - 26. Let l be s(6). Solve 0 = -2*o - 4*b - 6, 0 = -4*o - 3*b + l*b - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/130*-1)\/((3\/3)\/((-26625)\/(-2130))).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -11*f**3\/6 - 29*f**2\/2 + 4*f - 10. What is the derivative of s(p) wrt p?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 - 327*z - 8640.\nAnswer: -3*(z + 45)*(z + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81319 is divided by 1540?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2352)\/504 + 4\/6 + 0. Is -71\/14 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3265*s**4 + 3771*s wrt s?\nAnswer: -39180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/7 of a week in minutes?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 4)\/(0 - 1) - 1. Let q(u) = -u**3 - 9*u**2 - 7*u - 4. Give q(o).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8*b = -14. Solve -1 + 11 = -b*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4278560 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12*-15*(-18)\/(-180)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 7*j - 4*j - j + 17*j - 6*j = 0, 0 = -4*b - 3*j - 50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 22.5. Let o = -1.98 + -0.02. Let q = o - -2.3. Which is the third smallest value? (a) q (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 61 = 5*x, 0 = 2*c + 5*x - 18 - 35. Let d = c - 16. Suppose -5*w + d*w - 7 = q, 2*q - 4*w - 18 = 0. Put 1\/5, -2\/5, q in increasing order.\nAnswer: -2\/5, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 = 6*t - 213. Calculate the remainder when t is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v**2 - 81*v**2 + 24*v**2 + 1246*v**3 - 205*v**3 + 30*v**2.\nAnswer: 1041*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164 + -118. Let x = w - -579. Suppose 2*r + 209 = -x. What is r rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26046 and 17364.\nAnswer: 52092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(11)*-1 + -5 + (2*(sqrt(891) + 1))**2 + sqrt(891).\nAnswer: 80*sqrt(11) + 3561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 255\/119*2814\/(-10251).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + x)*(-x**4 - x**2 + x**2) + 4*x**5 - 7*x**5 - 5*x**5.\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34.000184 + 34. Round s to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26243477\/10 - 2630777. Let k = 6423 + i. Calculate the common denominator of 47\/35 and k.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 - -46. Suppose 0 = s - 4*j - 47, r*s - j - 17 = 49. List the prime factors of s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2639.87 to the nearest ten.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 6 - 41)*(2*q + 4 - 4) + 27 - 27 - 14*q.\nAnswer: -146*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20*(-2)\/(-4440))\/(163\/489).\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 15, g: 3}. What is prob of sequence ggg?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 0*w + 3*w + 8*w + 95.\nAnswer: 11*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-118)\/4)\/(14\/(-512)). Let q = -1074 + m. What is the common denominator of 814\/30 - 8\/60 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 + -114. Let c(p) = 1565*p - 2. Let n be c(1). Let j = g + n. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeaxxjx. What is prob of sequence xjxa?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {a: 1, j: 1, p: 6, d: 3, n: 1, l: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.29.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1))\/f)\/f*f*(f\/(f*f\/(f\/(f**5\/f)))*f)\/f assuming f is positive.\nAnswer: f**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172 (base 9) to base 16.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, w: 9, b: 3}. Give prob of sequence bwee.\nAnswer: 27\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 126.8?\nAnswer: 380.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 9:50 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 293 + -1b?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -175*k + 2. Let s(r) = -75601*r + 865. Determine 2*s(j) - 865*w(j).\nAnswer: 173*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1139176387?\nAnswer: 37, 832123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 3*k - 3*o + 855, 2*k - o - 425 = 0. Let z = -1915\/9 + k. What is the closest to 1\/2 in 3, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 263 - 264. What is the closest to 0 in 1\/5, p, 3\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 249226, 249624, 250024, 250426?\n\"Answer: m**2 + 395*m + 248830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9954 divided by -79\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1008 and 84?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2773 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5331 (base 6) to base 3\nAnswer: -1122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 - 2*m**4 + 5*m**3 + 6*m**2.\nAnswer: -m**2*(m - 2)*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 - -180. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1998890 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6280 and -103\/12560.\nAnswer: 12560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146.5 + 146. Let w = 8968507\/23 + -390136. Let g = 201 + w. Which is the second smallest value? (a) k (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8252?\nAnswer: 2, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 - 3*s. Let z be q(2). Let k = 1 + z. Suppose 25 = 5*y - 0*y, k*h + 3*y - 30 = 0. Solve -2*l + 4 = -l + m, -3*l - h*m + 12 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44042683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -81, 13 in ascending order.\nAnswer: -81, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x - 0*x. Let w(i) = 3*i**2 + 7 + 4*i**2 + 2 - 2 + 7*i. Let f(y) = 13*y**2 + 13*y + 13. Let h(z) = -6*f(z) + 11*w(z). What is h(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6031 - -501562?\nAnswer: 462531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(3 - (-2 + 4)). Let w(h) be the first derivative of 13*h**2 - 2*h + m*h - 2 - h - 12*h**2. What is the first derivative of w(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 510*b - 511*b + 4*v - 6, -b - 2*v = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 17 = -21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 217, 489, 869, 1357?\nAnswer: 1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30401520\/506240 - (-6)\/(-112)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.97717 + -0.2.\nAnswer: 0.77717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a decade?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9*0 + 3. Let a be (-2)\/v*3\/2. Let w be -4 - (a + -2) - -6. Solve -w = 5*o - 6*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 4 + 472. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5483 divided by 398.\nAnswer: 5483\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**4\/8 - 2*u**3\/3 + 5*u**2. Does 2 divide i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2660 (b) -21 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 14*q - 15*q. Let y be 5\/(15\/(-6)) + 1*q. Let o = -2 + 4. Solve -o = -g - y*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f. Let y(m) = 3940*m**2. Determine y(b(a)).\nAnswer: 476740*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -11, 25, -5 in increasing order.\nAnswer: -11, -5, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*p - 31 = 3*n, 0 = n - p - 11. What are the prime factors of ((-57)\/4*-1)\/(2\/n)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**33\/w)\/(w\/(w*w\/w**27))*(w*w*w\/(w**25*w))\/w**(1\/4) assuming w is positive.\nAnswer: w**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 11*t + 5. Let i(c) = 7*c + 15. Let g be i(-3). What is the hundreds digit of s(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-1))**49\/(v**(-13)\/((v*v**19\/v)\/v)) assuming v is positive.\nAnswer: v**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*h + 30, h + 3 = -4*n - 10. Let j be 0\/(-21) + 25\/5. Solve -j*s = -3 - h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 43*m**6\/3 + 2*m**5\/5 - m**3 - 47. Find the third derivative of l(z) wrt z.\nAnswer: 5160*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27143\/2 + (-88)\/(-308)*(-63)\/12 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 23*o = -28*o - 5116, -5*p = -4*o - 8518. What is the remainder when p is divided by 851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 7*i + 12. Let w be (i + 24\/9)*-3. What are the prime factors of 36 + w*(-1 - 0)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (152\/(-32) + 5)*-4*(-367 + 3). What is the greatest common factor of 39 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.24 - -1.34. Are y and -40 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/7 - (-1 + 0). Let c be (8\/(-7))\/(2520\/(-1470)). Put 0.6, c, r, -2\/15 in increasing order.\nAnswer: r, -2\/15, 0.6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4080135 by -6.\nAnswer: -1360045\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d = -39*d - 30056. Suppose 5*s + 4*o = d, -o = -3*s + 2983 - 722. What are the prime factors of s?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zv when two letters picked without replacement from {z: 9, h: 1, g: 1, b: 2, v: 5}?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + (-1 + -5*sqrt(448) + sqrt(112)\/sqrt(4) + -2)**2.\nAnswer: 228*sqrt(7) + 10121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3993) - 2*sqrt(3993))*5)\/(2*sqrt(363)*6).\nAnswer: -5*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 59. Let u(x) = 4*x**2 + k*x**2 + 271*x - 274*x + 3. Let f(j) = 14*j**2 - 7*j + 7. Determine -3*f(b) + 7*u(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381, -1123, -2161, -3495, -5125?\nAnswer: -7051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 5*a - 5, 5*a + 69 = -5*d + 34 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/25979056 and 65\/159121718.\nAnswer: 1272973744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, u: 7, w: 2}. Give prob of sequence uuww.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 + w**2 + 5*w - 2. Let z be q(3). Let v = 34 - z. Let g be (6\/(-5))\/((-3)\/110). Calculate the highest common divisor of g and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 2*f + 29. Let g = f - -40. Which is the closest to g? (a) -4 (b) -2\/13 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v - 70. Let t be u(24). Let r(d) = 2*d**t - 103*d - 2 + 204*d - 106*d. Suppose 4*z = -a - 2*a - 8, 2*z + 10 = 0. Determine r(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39118.\nAnswer: 2, 19559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*y - 10. Suppose 4*s - 4*p + 996 = 2988, 1001 = y*s - 3*p. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625 is divided by 1622.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 184237?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.23 - -269.77. Let v = 272.98 - c. What is the second smallest value in v, 10, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 5*g - 16. Let a(k) = 2*k**3 + 4*k + 16. Give -3*a(f) - 2*l(f).\nAnswer: -2*f**3 - 2*f - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2748 - 8 = 0. Let z = v - -26188\/19. Let m = -80\/133 + z. Which is the nearest to 0? (a) -2 (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**2 - 923. Let g(k) = 237*k. What is g(i(l))?\nAnswer: -474*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 448799.31us?\nAnswer: 0.000124666475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 589709278?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.41 * -118.677\nAnswer: 48.65757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 81540, 162916, 244288, 325656, 407020?\n\"Answer: -2*v**2 + 81382*v + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 17262 = -z, 38*z + 3*i = 40*z - 34533. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o + b = -251, 4*b - 236 = -4*o. Let u = -44 - -65. Calculate the remainder when o is divided by u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*z**4 + 2*z**3 - 6433121*z + 75778399?\nAnswer: 12*z**3 + 6*z**2 - 6433121","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = -28*n - 331 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 7 + 2\/(-1). Suppose -2*i = y*i. Solve i = -s - s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/2)\/3 - 1. Suppose -4*j - 147 = -5*q, j - 5*j = -r*q + 54. Solve 5*w + 0*i - 4*i - q = 0, 3*i + 27 = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426977, 426982, 426991, 427004?\nAnswer: 427021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 3.7?\nAnswer: 0.259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176.1 + -176.09995816. Round b to 6 dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10 = 2*q. Let i(t) = 3 - 58*t - 2 + 57*t - 6. Give i(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o - 58*o + 39*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-2 - -5) + 1. Let w = 1 + k. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*f + 121*f - 183*f + 570 = 0 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2959628 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(36\/48)\/((-15)\/340).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -1. Let q be -5*d\/((-30)\/28). Suppose -w = s - 18, 0 = s + 4*w - 7 - q. What is the highest common divisor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3090, 6182, 9274, 12366?\n\"Answer: 3092*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -767 and 0.08?\nAnswer: -61.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 2801452.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 7:17 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*t - 18, 2*t - 10 = -2*r + r. What is the remainder when 66 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-35)\/(129\/12 + -11). Calculate the greatest common factor of p and 8540.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112.9867 + 113. Round r to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9444.\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -15 - (-1)\/(1 + 0). Let v = 35 + w. What is the third derivative of 2*j**5 - v*j**5 - 17*j**2 + 0*j**5 wrt j?\nAnswer: -1140*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 440642097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.3 (b) -7 (c) 9 (d) 126 (e) -0.4 (f) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r - 31. Let l be b(11). Put l, 8, 1 in ascending order.\nAnswer: 1, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 3*f**2 - 6. Let w(l) = 6*l**3 + 7*l**2 + 13. Suppose -7*i = -14 + 2 - 9. Calculate i*w(c) + 7*h(c).\nAnswer: -3*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18052\/28 + 3)\/2. Let s = 319 - l. What is the common denominator of (1\/(-3))\/((-8)\/(-177)) and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319118, -319117, -319116, -319115, -319114, -319113?\nAnswer: -319112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -362 + 12?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 6746.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 429.09 - 429. Which is the nearest to 1? (a) -4 (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62804?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 9 + 6. Let u(j) = -j - 1. Let q(b) = -b. Let c(n) = -2*q(n) + u(n). Give c(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2214 - -56?\nAnswer: 226a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 + 4451*o**2\/3 - 22406*o\/3 - 187152.\nAnswer: (o - 14)*(o + 9)*(o + 4456)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14, 38, 62?\n\"Answer: 24*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a millimeter in micrometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10207043 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)\/q*q\/q**(-4)*q)**(-1\/15) assuming q is positive.\nAnswer: q**(-13\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -295?\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 935 - ((7 - 3) + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -83 - (-23 + 5 - (-498 - -491))\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1566 and 1388?\nAnswer: 1086804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 898924907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 5*i**4\/24 - 7*i**3\/6 + 4*i**2. Find the first derivative of o(g) wrt g.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6756\/79022447 + -4430505352365149\/7112020230. Let i = 622960 + l. Let x = -2\/315 - i. Sort x, 2\/15, 0 in increasing order.\nAnswer: 0, 2\/15, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9106 is divided by 106.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 3 + 3 - t + 5*t + 2*t + (-3*t + 2*t + 0*t)*(3 - 5 + 4) - 4*t - 7*t + 3*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 6:59 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 9. Let g be o(11). Suppose 0 = -2*s + 5*d + 6 - g, -4*s = -4*d - 8. Find the third derivative of -q**4 - 3*q**2 - q**2 + s*q**4 wrt q.\nAnswer: 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, f: 13}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 12:15 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172573 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2385.1 - -2385. Let d = -10 - 6. Let o = 21 + d. Which is the biggest value? (a) o (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.075 - 0.075. Sort -12, -2\/3, -3, f in increasing order.\nAnswer: -12, -3, -2\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/313 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 358*i - 564*i + 6240 = -362*i for i.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -b61b (base 13) in base 11?\nAnswer: -17a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, i: 13}. What is prob of picking 1 i and 3 o?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 864 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 2 - -16*6\/12 - 12. Factor -1\/5*o**4 + j + 0*o**2 + 0*o + 2\/5*o**3.\nAnswer: -o**3*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*g - 2 = -0*c, -2*g = 2*c - 2. Let y(r) = -19*r - 1. Is 15 a factor of y(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0*s + 1\/60*s**6 + 0 - 1\/15*s**5 + 1\/6*s**3 - 1\/6*s**4 - s**2. Calculate the remainder when v(4) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1)*((5 - 2*k - 5)*(-3 + 3 - 2) - 5*k + 7*k + 2*k).\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -42 (b) -27 (c) -0.2 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -229*o + 209*o + 14520. What is the highest common factor of 132 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 283*a**4\/8 + 157*a**3\/3 - 50*a**2. Differentiate j(h) with respect to h.\nAnswer: 849","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/(-4))\/(2\/2))\/((9870\/423)\/7)\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1458 divided by -243\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209435?\nAnswer: 5, 41887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -7. What is the remainder when 38 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyxy when four letters picked without replacement from kkyekkyxeeyyyykkkkeg.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -5)\/(4\/834). Let v = r + -5807\/7. What is the common denominator of v and 9\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 6*i + 6. Let t be q(3). Let k be 99\/1*((-12)\/(-3) + t). What is the highest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38965159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-5))\/(6\/90). What are the prime factors of (1 - 2)*(k + -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.4, -3\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 + 2*h**2 - 6*h**3 - 11*h**3 + 36 + 13*h + 13*h**3. Is 17 a factor of d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 436836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n**2 - 53*n + 17. Let v(w) = -2*w**2 + 13*w - 4. Let f(o) = -6*c(o) - 26*v(o). What is the lowest common multiple of 4 and f(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/(-40)*2*(-2)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51626.86 years to months.\nAnswer: 619522.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + -36 + (-7 - -23) - -13.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-180) + 1\/(-3))*-60. Is j < 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbgblzbfbzofbfb. What is prob of picking 2 b and 2 f?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7354 - -7433. Solve d = -15*b + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92 by -75.\nAnswer: -92\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4801.\nAnswer: 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**2\/3 - 48733352*s\/3 + 48733364 = 0.\nAnswer: -12183341, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.65609 from -1346775043.\nAnswer: -1346775040.34391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(9\/2 + -3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 2. Let q be b(-5). Let y(i) = -i**2 - 7*i + 10. Let d be y(q). Let r = 3 - d. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000345295 rounded to 6 dps?\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 15364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 156.84240974 + 7085\nAnswer: 7241.84240974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010012211 + 101?\nAnswer: 2010020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 j when four letters picked without replacement from {j: 3, i: 4, y: 3, z: 2, t: 2, c: 2}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1068025 less than -1068023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -408105284336 and 120.\nAnswer: -408105284216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2759000 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18132155.\nAnswer: 5, 3626431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 - 5*s. Let i(p) = p**2 - 6*p + 1. Let b be i(5). Let d be j(b). Suppose -5*x = -3*x - d. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (88\/33)\/(6\/27*3). Suppose 4*h - s*n = -2*n + 6968, 4*h + 4*n = 6956. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54296583 to the power of 1\/2, to the nearest integer?\nAnswer: 7369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -60. Let m = -51 + d. Suppose -m*k - 56 + 317 = 0. List the prime factors of k.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 6*t - 11. Determine b(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b. Let a(s) = -6*s**2 + 45*s**2 + 11*s**2 - 17*s**2. What is p(a(u))?\nAnswer: -231*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 61, 176, 399, 766, 1313?\n\"Answer: 6*v**3 + v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*b + 237 = 2023 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0.344.\nAnswer: -5, 0.344, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 79420 and 1292?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/15, 2\/7, 4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79 + 5255*d + 39 - 5253*d)*(-2 - 1 + 1 - 5 + 2 + 5 + (-2 - 1 + 2)*(-2 + 3 - 3) - 5 + 6 + 1).\nAnswer: 8*d + 472","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55380 + -55382.6. Let v = -98\/3 - -32. Which is the biggest value? (a) v (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15937829 + -7204229. What is q rounded to the nearest 100000?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -9. Solve -3*b - 13 = -5*z, 2*z - k = 2*b + 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10311 is divided by 311.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (-6 + 10) - -5) + -17?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.6? (a) -0.09 (b) -0.2 (c) -18\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-100)\/(-84)) + 3)\/(16\/120)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inniggniiiiiin. Give prob of picking 3 n.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055595 rounded to 4 decimal places?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-84)*(-12420)\/(-1150)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 5. Let z = 15 - 19. Calculate k(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 108*p + 7. Let r(w) = -53*w - 4. Give -6*g(z) - 13*r(z).\nAnswer: 41*z + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 775 + -774.7. What is the second biggest value in 3\/2, v, -49?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 27*a + 106. Let l(s) = -41*s - 149. Calculate 5*l(h) + 7*v(h).\nAnswer: -16*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**2\/3 - 17516*y\/3 + 17518\/3 = 0.\nAnswer: -8759, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*x + 4488*x + 5637 = -42879 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6735237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189036 and 595944?\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2. Let k(v) = -4*v - 9*v + v. Determine i(k(l)).\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 772\/85 + -46\/5. Suppose -1 = 3*m + 2. Let b = -4 - m. What is the third biggest value in -0.4, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3)*v**(-5\/3))**(-12\/13))**(-3\/5) assuming v is positive.\nAnswer: v**(-168\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -9.1. Put r, 2\/19, -4 in increasing order.\nAnswer: -4, r, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 9*j**2 + 3*j + 20. Give o(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/12 + 10\/8. Let c = a + -2. Suppose -5*j = -2*f - 5, 3*f + 3 = -2*j + 5. Put c, j, 5 in decreasing order.\nAnswer: 5, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -188*g**3 - 13*g**2 + 11*g. Suppose 4 + 10 = 3*d + 2*s, 4*d - 37 = s. Let n be q(d). Round n to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2 - 3*m + 5. Let b be (-6)\/(-4)*4*(-1584)\/(-2376). What is x(b)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16356 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103955084669 + -103955085114.999999479. Let d = n + 446. What is d rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + (11 - (7 - -1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of 1627*l**7\/35 + 3439*l**4\/24 + 2*l**2 + 2*l - 263. Find the second derivative of w(c) wrt c.\nAnswer: 117144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1 + 3 - 1 - h. Let x be n(0). Is ((-13)\/(-3))\/(x\/9) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, d: 6}. What is prob of picking 1 m and 2 d?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2 = 2*g + 7*b, -g - 4*b = -7. Let a be -7*g\/25 + 3\/5. Solve 16 = -4*m - s, -4*m + a*s - 14 = 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304) + 0 - (sqrt(19) + -2*sqrt(19) + 2).\nAnswer: -2 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 + 7*t - 7. Let x be p(2). Let h(w) = -236*w - 177. List the prime factors of h(x).\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d = -130. Let q = -131\/5 - d. Let w = 41 - 122\/3. Which is the nearest to 1? (a) -1\/7 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 0 - 1\/300*x**6 - 1\/12*x**4 - 2\/15*x**3 + 0*x + 10*x**2 - 2\/75*x**5. Factor p(j).\nAnswer: -2*(j + 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 divided by 7.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 not equal to 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4159 - -4269. Calculate the remainder when 4506 is divided by d.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2, 3\/4, -4, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 + 8*j - 5. Let n(a) = -15*a**2 - 23*a + 14. Determine 17*l(f) + 6*n(f).\nAnswer: -5*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 4, -0.118?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = n + 3*n - 5, 0 = -3*t + 4*n - 11. Factor 42*i**2 + 30*i**3 - 42*i**2 - t*i**5 - 25*i**4 - 2*i**5.\nAnswer: -5*i**3*(i - 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-680)\/315 + (-2)\/7)*(-342)\/76. Let x = 0.7 + -0.4. Let h = 0 - -0.4. What is the nearest to i in h, -0.4, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5*m + 4*m + 4*m + 9. Suppose 2*j - 3 = 5*p, -4*j + 78 = 5*p + 27. Let b(a) = -3*a - 2. Let i(o) = j*b(o) + 2*y(o). Let g(v) = -v. Determine g(i(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9784 + -9670. What is the remainder when 910 is divided by s?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/700 and 58\/133025?\nAnswer: 3724700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 276 = -4. What is the greatest common factor of h and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904562.\nAnswer: 2, 47, 9623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 234479 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-222144)\/(-156195) - (-6)\/(-5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4835 + 4295 = -18*d for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + -0.1. Let g = -5.4 - q. Let z = 2 + -5. Which is the second biggest value? (a) z (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -12*t + 4. Suppose 5*h + 3*y = -3, -2*y + 0 = 3*h + 1. What is the units digit of n(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0344082 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 15758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4746*r - 166106. Give w(-35).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 19*s**3\/6 - s**2 - 3837*s. Give y(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*j = -9, 29*n - j + 4 = 33*n. Let l(c) be the first derivative of 1\/18*c**4 - 4\/27*c**n - 33 + 0*c - 1\/3*c**2. Factor l(f).\nAnswer: 2*f*(f - 3)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v + 0*v + 0*v)*(-1 + 0 + 3) - 3 + 3 + v)*((-3*v + 2*v - v)*(v**3 + 3*v**3 - 2*v**3) - v**4 + 6*v**4 + v**4).\nAnswer: 6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5470 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 35 - 5. Suppose 2*y - 4*y - 2*o - 719874 = 0, 0 = -p*o + 10. Let s = 536939 + y. Round s to the nearest ten thousand.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*j**3*k**2 + 36*j**3 + 3*k**2 - 2*k wrt k?\nAnswer: -84*j**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 299 + -299. Suppose w + 0 = z + 2, 3*z - 22 = -4*w. Which is the closest to n? (a) -5 (b) z (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.5 (b) 28 (c) -5 (d) -6.217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/24 (c) -5 (d) 118\/17 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/114 and -25\/57?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 753 + -329. Suppose 3*o + 3*n = 879, -3*n - h + 1885 = 5*o. Suppose o = 5*d + 106. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -8*g**3\/3 + 13. Let n(q) = 17 + 31 - 63 + q + 15. What is d(n(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(4 + -3) + 2 + 495. Let h = u - -131. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 5*y**2 + 2*y - 1. Let w be h(5). Let g(r) = -r**2 + 12*r + 2. What is the remainder when g(w) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61961606087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 1:14 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 12 - (0 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 452 divided by -113\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 148\/79?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k, -170 = 7*p + k - 212. What is the highest common divisor of p and 243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 393 - 386 - (23 - 0)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32 - 720358293272\nAnswer: -720358293304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -2*u + 9*w + 43, 3*u - 2*w = 37. Let p be (-16)\/(-12) + -2 - (-15)\/u. Solve 3*z + 10 - p = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*m = 119, 3*h + 0*m = -3*m + 87. Let d = 40 - h. What is the remainder when 47 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1017857 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169 - -122. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000827931 rounded to 6 decimal places?\nAnswer: -0.000828","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/3, -86 in descending order.\nAnswer: 0.5, -1\/3, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 10 = 5*v, 0 = 5*g + 14 + 11. Suppose v*z + 4 = -z. Find the common denominator of -41\/10 and ((-236)\/(-10))\/(45\/25 + z).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7328, 7327, 7322, 7313, 7300?\n\"Answer: -2*m**2 + 5*m + 7325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 144649, 2, 5, -3 in increasing order.\nAnswer: -3, 2, 5, 144649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-377 - -349) + 54 + -3\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 104, 22, -62?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 762 times -0.1504?\nAnswer: -114.6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2398 + -1139. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 881 - 881.4. Which is the third smallest value? (a) 2 (b) h (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 12 = -3*u - 15, 3*v + 26 = -2*u. Let y be 74 - 5\/((-20)\/v). Calculate the greatest common factor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (31 + (-15 - 10) - 65) + -6 + 0 + 1\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3076796 divided by 3\nAnswer: -3076796\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.5 (b) 4188 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-128)\/(-60))*(-306)\/(-306).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13753 - 13755. Which is the nearest to 2\/5? (a) 1.9 (b) f (c) 0.4 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m**3 + 2*m**2 - m. Let n(v) = 15*v**3 - 6*v**2 + 3*v - 3. What is n(o) + 3*t(o)?\nAnswer: -9*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1573) + (sqrt(1573) - ((sqrt(1573) - (-1 + sqrt(1573))) + -5))))**2 - (3*sqrt(1573)*-1 + sqrt(1573) + sqrt(1573) + -5))*2.\nAnswer: 1430*sqrt(13) + 50474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 56. Let v = -24.9 + f. Which is smaller: 0.13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 7*w**2 + 12*w**2.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/18*9*-1. Suppose -y*c + 1479 = -3*i, 2*i = -0*i - 4*c - 968. What is i rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1458 and 648?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 + 38 + -1 + -323 + 308\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -151 (base 11) to base 6\nAnswer: -453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*f + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 26*q**2 + 38*q + 112. Let g be j(-22). What is g rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.394 + -16.224. Let h = r + -0.42. Round h to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86689654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13343 (base 9) in base 2?\nAnswer: -10001101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -107278.\nAnswer: -13\/53639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191919864.\nAnswer: 2, 3, 7996661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200901 - 200900.8. Let j(r) = -r**2 - 5*r + 4. Let v be j(-6). What is the nearest to v in 4, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 17 = i, 5*i + 25 + 12 = -3*u. Put -2, -3, u, 58 in descending order.\nAnswer: 58, -2, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 26. Suppose 2*s + s = -5*l + 25, -2 = l + 2*s. Let b(h) = -l + h + 3 + u. Determine b(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.01726 or 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 95 (b) 3\/5 (c) 12 (d) -63\/221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/6 + 17\/33. Let o be ((-12)\/(-63))\/(-2 - (0 - (-56)\/(-49))). Sort -2, g, 1, o.\nAnswer: -2, o, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-5)\/v))\/(v\/v**(-13))*(v**(-5\/3))**(-1\/15))**(-47) assuming v is positive.\nAnswer: v**(2914\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - 23876.6198.\nAnswer: -23884.6198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 12*s - 25. Let r(l) = 7*l - 13. Let a(h) = -5*r(h) + 3*t(h). Suppose -2*w = -4*v + 22, -2*v - 18 = -5*v + w. Determine a(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1.09.\nAnswer: -1.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -5. Suppose -3*j = -p*j + 260. Let o be j\/(-91)*(-2)\/(-5). Is o < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Suppose c*b - 5*b + 8 = 0. Suppose 3*a - 5*s - 126 = 0, 2*a - 5*s + 59 = b*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2115 - -2145. Calculate the highest common divisor of 30 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 627380 and 1577.\nAnswer: 52072540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-632)\/56 + (-220)\/(-35) + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15, 81, 237, 453, 729, 1065, 1461?\n\"Answer: 30*v**2 + 6*v - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2623*b + 7620*b - 3269*b + 968 - 968 as c*b + h and give c.\nAnswer: 6974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1)\/s)**(-30)\/(s**0)**(-13\/6) assuming s is positive.\nAnswer: s**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4436315, -8872635, -13308959, -17745287, -22181619, -26617955?\n\"Answer: -2*t**2 - 4436314*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1326*f**2 + 1141*f**2 - 3838*f**2 as s + i*f**2 + k*f and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -3 + 104\/8. Find the common denominator of 2 - ((-254)\/12 - -1) and ((-2)\/u)\/((-24)\/150).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 430 = 450 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 = 2. Let x be j\/((-1 - 0) + 2). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 766842 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 2 j when four letters picked without replacement from sevgqjv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/17 - (-1026410)\/7378. Solve -n = 16*p - 27 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (86\/(-258))\/((1\/(-6))\/(19\/2)). Let w(l) be the first derivative of q + 2\/33*l**3 - 3\/11*l**2 + 4\/11*l. What is z in w(z) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303 + 286 - 589 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let k = -225\/892 - -1121\/2676. What is the closest to 0 in 1, h, 0.2, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 33 = y + n, 4*y - 135 = -5*n. Let i = -117\/4 + y. Put 0.1, i, 0.3 in descending order.\nAnswer: i, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 288100 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.31 + 18.11. Sort -3, -0.02, 4, h in ascending order.\nAnswer: -3, h, -0.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -1\/12*n**4 + 1\/3*n + 1\/3*n**3 + 3 - 1\/2*n**2. Determine t, given that r(t) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/95, -22 in ascending order.\nAnswer: -22, -3\/95, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 13*z - 100. Solve 8*i = 10*i - z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*n - 73*n - 28 + 325 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -3\/22*s**4 + 2\/11*s**5 + 3\/11*s**2 - 14\/33*s**3 + 4\/11*s + 9. Determine t so that f(t) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 237871 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 3 (b) 0 (c) -16\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17405 and 461555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 4 + (0 + 0 - 2)*(0 - 4 + 1) + (0 + 4 - 3)*(3 - 259 + 10)*(4 - 1 + 1))*(-1 + 1 + 2*j**3) to w*j**3 + s + f*j**2 + h*j and give w.\nAnswer: -1954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 61509396\nAnswer: -1\/61509396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -6*l + 12. Let h be (18\/(-24))\/((-1)\/(-16)). Let x = h + 18. Calculate the highest common factor of x and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**5\/60 + 13*s**4\/24 + 7*s**2. Find the second derivative of r(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*x**2 + 30*x**2 - 25*x**2 + 17*x**2.\nAnswer: 43*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 833050 divided by -2\nAnswer: -416525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 575 (base 13) to base 5\nAnswer: 12231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 12*t + 88. Calculate the common denominator of (1863\/16)\/(-9) + t and -95\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 5*s**2 - 6*s + 3. Suppose -n = 2*n + 2*x - 47, -n - 2*x = -21. Suppose 6*g - n + 49 = 0. Let b be t(g). Solve j = -b*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3541 + -92087\/26. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-48)*(21\/(-98))\/(18\/(-6)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11080*y + 21 = 3*t - 11077*y, -4*y = -2*t + 8 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10884.\nAnswer: 2, 3, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -15061, -14781, -14501?\n\"Answer: 280*v - 15341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n + 450 = -34*n - 8*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 18. Let u = o - 19. Let x = -1 + 13. Solve u*d - x = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n + 8. Let d be l(9). Let m(s) = 11*s + d*s + 44*s - 19*s. Let j be m(-9). What is j rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-72)*12)\/1*4\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 3*k + 2*k)*(2*k + 0 + 0) - k + 2*k**2 + k - 11*k**2 + 13*k**2 - 2 + 14*k**2 as p + j*k**2 + w*k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*f = 56, 0 = q - 0*f + 4*f - 68. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 4*b + 2. Let g be f(5). Let i(j) = j + 7. Let z be i(0). Let p = z + g. Calculate the remainder when 55 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**4\/7 + 60*k**3\/7 - 136*k**2\/7 = 0?\nAnswer: -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 926\/12 - -4*(-6)\/144. What is the tens digit of (-14)\/y - 640\/(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 + 1. Let l = 0.1 - j. Let u be 3298\/(-8148) - (-20)\/35. Which is the smallest value? (a) 5 (b) l (c) -0.2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 192?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 1)*(6 - 5 - 28)*(3*c**2 - 4*c**2 + 0*c**2).\nAnswer: 108*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/5 - 24152*r\/5 - 289248\/5.\nAnswer: -4*(r + 12)*(r + 6026)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 7) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*l - 1188, 0 = -q - 5*l + 427 - 138. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -376331510 divided by -5?\nAnswer: 75266302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w - 2*w**2 + 2*w**2 + w**3 - 3*w**2 + 5*w**2 + 3. Let r be f(-2). Let n(j) = -j**3 - 3*j**2 - 2*j + 4. Give n(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -255, -270, -283, -294, -303?\nAnswer: -310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1695086 and 0.211?\nAnswer: 357663.146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hannnnnnanonnn. Give prob of sequence nh.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -438, -390, -328, -246, -138, 2?\n\"Answer: h**3 + h**2 + 38*h - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354, 353, 352, 351?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9025335 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 465427 and 62708?\nAnswer: 113564188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1603 - 357. Suppose 5*f - 3619 = j. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -743, -2, 15, -289 in ascending order.\nAnswer: -743, -289, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 133544590051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 + 84. Solve 0 = 3*i - v + 4*v - 3, 2*v + 18 = h*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - w + w + (0*w + 5*w - 3*w)*(-3 + 0 - 2) + 81 - 81 - 4*w.\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3128 divided by -782.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5 + 5 = 0, -4*o - 4*l - 332 = 0. Let q = 141 + o. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v. Let t(m) = 3*m. Let q = -101 + 98. Give q*x(b) - 2*t(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 654 and 15531.\nAnswer: 3385758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2542944691 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -413*r**5\/10 + 2028*r**2 - 33*r - 25. Find the first derivative of y(f) wrt f.\nAnswer: -2478*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 910.8965 centuries in decades?\nAnswer: 9108.965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utpucud. What is prob of picking 1 u and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -448.7 + -128.8. Round r to the nearest ten.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, k: 2, n: 6}. What is prob of picking 2 k and 2 n?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 13\nAnswer: -15\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 3 + sqrt(612) + 5 + sqrt(612) - sqrt(612))**2.\nAnswer: 192*sqrt(17) + 2512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:22 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 12.21.\nAnswer: -3.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - (sqrt(90) + sqrt(90)*5)) + -4*(sqrt(10) + (sqrt(10) - (sqrt(10)*-4 - sqrt(10)))))\/(6*(sqrt(128) - -5*2*sqrt(128))).\nAnswer: -43*sqrt(5)\/528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*1\/((-9)\/(-30)). Let c = h + 14. What is the greatest common divisor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/369 and -46\/219.\nAnswer: 26937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -p, 0*d + 5*p = -4*d + 9. Are 0.05 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9823*f + 18916. Give r(2).\nAnswer: -730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*j + 2*j - s + 7*s - 5*s - 505, 3*j - 106 = 2*s for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 246. Let c(j) = 28. Let g(h) = 2*b(h) - 19*c(h). What is g(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*a - 117*a - 114*a - 7*a**3.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 446 = -3*j - 3*q, q = 4*j - 367. Let n = j + -25. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -534*s**2 + 3009*s**2 - 358*s**2 to a*s**2 + g*s + b and give a.\nAnswer: 2117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 35396834\nAnswer: -1\/17698417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.17 - -7.83. Let b = w + -7.99. Let f = b + -0.0099988. Round f to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/2 - 3*-1. Let j = f - -3. Differentiate -4*z**3 + z**3 + 4*z**3 - j with respect to z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) 1 (c) 2\/9 (d) 192 (e) -0.24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 28 = 3*q - 17, 0 = 3*y + 4*q - 44. Let i = -111 + 174. Calculate the remainder when i is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -43 (b) 24 (c) 1\/10 (d) 4 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeewywdydwwldyln. Give prob of picking 2 d and 1 l.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/(-3) + (-8)\/(-24). Let g(y) = -y**3 - 9*y**2 - 11*y + 7. Calculate the remainder when 91 is divided by g(d).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14 - -6)*3\/(-8). Let b(v) = 2 - 1 - 25*v + v**h + v**2 + 23*v. Let k(g) = 4*g - 7. Let w be k(2). What is b(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 0*s**2 + 1\/4*s**4 + 0 - 10*s + 0*s**3. Find x such that k(x) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*h - 99 + 925 = 0. What is the fourth biggest value in 2\/11, h, -0.3, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8349 and 233013.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 divided by 60?\nAnswer: -58\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -444, -1096, -2022, -3222?\nAnswer: -4696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -974 + 1137. What is the nearest to d in -5, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26\/3, 1.1, -1\/9 in descending order.\nAnswer: 1.1, -1\/9, -26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117 + 24729?\nAnswer: 24846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 4)*(2 - 5 + 10)*(2 + a**2 - 2) to the form j*a**2 + u + b*a and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1067 and 435433.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15*z - 4. Let b(t) = -8*t + 2. Let h(j) = -2*j**2 + 15*j + 9. Let v be h(8). Let q be b(v). List the prime factors of f(q).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4.5853.\nAnswer: 13.7559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115\/104190*151)\/(-2*1\/(-16)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - m**2 + 2*m + 4. Let k be x(0). Let l = 54 + -50. Solve k*y - 16 = 2*y - l*v, 4*v - 18 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3812 - 3?\nAnswer: -3815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11.7 * 2.34\nAnswer: -27.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l - 8. Let g be m(2). Let s = -4 + 4. Factor -2\/3*d**g + s - 2\/3*d.\nAnswer: -2*d*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -341905*g*m*s + 30*g*m + g*s + 5*g + 288*m + 1 wrt s.\nAnswer: -341905*g*m + g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 25*n**4\/24 - 4*n**2. Suppose -2 = -2*g - 0. Is d(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 189*y**2. Let g(j) = 677*j**2 + j + 2. Calculate g(u(d)).\nAnswer: 24183117*d**4 + 189*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y**2 - 16*y - 24. Let p(h) = h**2 + 1. Let q(c) = -m(c) - 6*p(c). Let s = 1 + 3. What is the smallest common multiple of q(-16) and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 9*o - 140 = 4*o, -5*z = 4*o - 145. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*b + 17. Let o(x) = -11*x**2 - 75*x + 19. Let m be o(-7). What is the units digit of (3\/b)\/(m\/(7*20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 + -31.98. Let a = y + 45. Let f = a - 8.4. What is f rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 21. Let z = o - 9. What is the third biggest value in 3, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-39)\/((-663)\/(-748)))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.078 - 0.078. Let g = 3.9 + 1.1. Let a = -2.5 + 3. What is the smallest value in m, g, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 * 315748\nAnswer: -9156692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.5, -229, 1\/7 in decreasing order.\nAnswer: 1\/7, -2\/11, -0.5, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81.98 + 81. Round t to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minus 158906020936?\nAnswer: -158906020806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235 - 27*i + 2*i**3 + 28*i - 235.\nAnswer: 2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + t - 1)*(0 + t**2 + 0) + (-5 - 4*t**2 + 5)*(-5*t + 2*t + 0*t) in the form a*t + m*t**2 + h*t**3 + y and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 - 211*p**3 - 411*p**3.\nAnswer: -628*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggsgggsgg. What is prob of picking 2 g and 2 s?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522, -531, -540?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.23957 rounded to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241 - -241.598. Let f = p + -0.598. Suppose -s + 0*s + 5*o = 69, -5*s + o - 225 = 0. Is f >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(12\/(-32)) + 0. Calculate the remainder when 37 is divided by -1*51*h\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2828, -5655, -8482?\nAnswer: -11309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/5 + 19746*t**2\/5 - 35499*t + 157752\/5 = 0. What is t?\nAnswer: 1, 8, 6573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-236)\/(-118) - -1954*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + 8 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 + 10 + 2*l**3 + 7*l**3 - 17*l**3 - l**2 + 0*l**2.\nAnswer: -5*l**3 - l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r + 3. Let z be k(-3). Let i = -6 + z. Calculate the remainder when 61 is divided by 22 - (6\/i - 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 d, and 1 f when four letters picked without replacement from fmhhfwmhdhffdmhhhj?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.8 + -2. Let x = 0.3 + y. Suppose 5*r + 5 = -4*a, -a + 0 = 3*r + 3. Is x less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-3) + (0 - 3). Suppose -66 = -5*x + 4*a, x + 3*a = v*a + 18. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - -38 - (105 + 29).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*r = 119 + 20, -u + r = -41. What is the second derivative of u*n**2 + 25*n - 43*n**2 + 12*n**5 wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 = -0*l. Let o be ((-2)\/(-105))\/((-472)\/11800). Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -2*w - 16, 0 = 5*z + 29 - 9. Suppose 0 = 4*p - p - 81. Solve 5*f = -3*v + p - 5, -3*f + v + w = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3 and 19\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 6 = 0. Suppose -3*q = -3*f - 18, 0*q + f = -m*q + 24. What is the highest common divisor of 20 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -89b (base 12) to base 8\nAnswer: -2367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f\/f**(-6\/5))\/f)\/f)\/f)\/f*f)**(-47)\/(f\/(f\/(f**1\/f)*f))**(2\/11) assuming f is positive.\nAnswer: f**(2078\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhmhhhhhh. Give prob of sequence hm.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 1 + 1 + (1 - 2 + 2)*(4*a - 4*a - a) - 6*a + 5*a + 5*a)*(-2*a**4 - 4*a + 4*a).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 4*d**2 + d**2. Let u(t) = -t**3 - 5*t**2 + 6*t + 3. Let k be u(-6). Let b(z) = -3*z**2 - k*z**2 + 5*z**2. Determine o(b(n)).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130*d**3*o**2 - 102209*d**3*o - 2*d**2*o**2 - 5624*d*o**2 - 287*d*o wrt o?\nAnswer: 260*d**3 - 4*d**2 - 11248*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/66345 + 575096\/3516285. Calculate the common denominator of f and -4\/7.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 9 - 9*r + 9 to h*r + f and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -270, -281?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a century in months?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**3 + 4*y**2 - 3*y + 2. Is q(2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 4\/5, -29, 1\/3, 60, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003207 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 20. What is the second smallest value in f, 7, 2\/19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -191 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2516550 by -475.\nAnswer: -5298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 46649061\nAnswer: -5\/46649061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3007048?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 228. Let s be c(37). Let d(q) = 2*q**2 + 3*q - 15. Is 6 a factor of d(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -3, 2\/11, -3\/4, 10\/123?\nAnswer: 10\/123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g - 53. Let o = 58 - g. What is the highest common factor of 35 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*r + n - 10, -n = -5*r + 14. Sort -3, r, 55 in decreasing order.\nAnswer: 55, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 107, 0.4, 0.04, -32\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/22 + 1612\/124.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5185b + 8c4?\nAnswer: -50e87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0)**42)**(9\/5)*((b**0*b*b)\/(b\/(((b**(-1\/4)\/b)\/b)\/b)))\/(b**0)**45 assuming b is positive.\nAnswer: b**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-2 + 2) - (-44 + 75 + 7)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + 1 + (-19 - (-41 - (-10 - 10)))?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 69040 - 462663 = -2*d, 0 = 4*d + 4*b - 1063448. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1174, -1189, -1218, -1267, -1342, -1449, -1594?\nAnswer: -1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 115289136+-5121\nAnswer: 115284015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-12)*(4 + -1). Let j = -9 + t. Let r(s) = 7*s**2 + 6*s. Let m(g) be the second derivative of -2*g**4\/3 - 7*g**3\/6 + 3*g. What is j*r(b) - 6*m(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-2))\/((-405)\/(-540)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -399256 divided by -32?\nAnswer: 49907\/4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 2*q + 25. Let f(h) = h**3 + 3*h**2 + 3*h - 2. Let c be f(-3). What is the hundreds digit of s(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 3 - (-11 + 5))\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*k - 3*b, -7*k = -2*k + 2*b + 16. Let n be (k + 0 + 0)*-1. Solve -13 - 2 + 21*h**n + 12*h - 18*h**2 = 0 for h.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - 2*v + 4*v)*(42*v - 95*v + 63*v - 9)*(-1 + 0 - 2)*(4*v - 9 + 9) to the form t*v + d + a*v**2 + m*v**3 and give m.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2822051, 5643914, 8465777, 11287640, 14109503?\n\"Answer: 2821863*f + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -193*n + 1351. What is the tens digit of x(-41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -5*s + 1\/210*s**7 - 2\/15*s**6 + 0*s**4 - 1\/30*s**5 + 0*s**3 + 3*s**2 + 0. Find the third derivative of o(v) wrt v.\nAnswer: 24*v - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**3 + 25*x - 37*x + 23*x)*(-x**2 + 0 + 0).\nAnswer: 6*x**5 - 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1932 (b) -0.3 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1153731*y**2 - 2307516*y**2 + 1153789*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 40 = 7*q. Does 4 divide 210\/56 + (-2)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 0 (c) 90 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16819 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 592\/7 - 85. Which is the smallest value? (a) 5 (b) d (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(8*f**2 + 2*f - 2*f**2 + 2*f**2).\nAnswer: 8*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -198541 rounded to the nearest one thousand?\nAnswer: -199000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = g + 3 + 3, -g - 5*f - 6 = 0. Let n(w) = 9*w + 2. Let t(o) = 8*o + 2. Let r(x) = -6*n(x) + 7*t(x). Give r(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 398984357 to the nearest integer?\nAnswer: 19975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/14 - (3 + -2). Let d = -8 + 8.6. Put d, 2\/11, h in decreasing order.\nAnswer: d, h, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2507, 2676, 2845, 3014, 3183, 3352?\n\"Answer: 169*b + 2338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5136384?\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hkc when three letters picked without replacement from khhhggggkkkccc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 129? (a) 603 (b) -0.3 (c) -5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 5612403?\nAnswer: -5612408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 31. Let q(z) = -4*z - 62. What is -5*j(n) - 3*q(n)?\nAnswer: 2*n + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.1, 3, -0.1, -0.33 in increasing order.\nAnswer: -3.1, -0.33, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -24*l**5 + 120*l**4 - 162*l**3 - 75*l**2 + 207*l - 24. Let f(i) = -i**4 - i**3 + i**2 + i. Let q(w) = c(w) - 3*f(w). Suppose q(y) = 0. What is y?\nAnswer: -1, 1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**2 - 5*n**2 + 3*n**2 + (-2*n + 3 - 3)*(0 + n + 0) + 0*n**2 - 3*n**2 + 0*n**2 + 3.\nAnswer: -4*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 - 4*o**2 + 3*o**2)*(-o - 3 - 2*o + 4*o)*(4 - 1 - 1).\nAnswer: -2*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 20. Let a = f - 5.9. Let l be -2 + 2 + 1 - 5. What is the closest to a in 0.3, l, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3168956*p - 2471907?\nAnswer: -3168956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjcjjcaacj. Give prob of sequence ca.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b66 + -4c31?\nAnswer: -7a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 1:03 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852 + 292 = 8*v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + -4. Let h = t - -34. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 533, 1071, 1609, 2147?\n\"Answer: 538*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*g + 7*g + 21*g + 13*g.\nAnswer: 61*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 16, v - 5 = -2*d - 7. Let z be 40\/2 + (d - (3 + 0)). Calculate the greatest common factor of 36 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -804 times 12\nAnswer: -9648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = -29*a + 55 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -17.4493719 and 29.1.\nAnswer: 11.6506281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12211095 - 22722543. Let f = 27611448 + a. Round f to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1737 + 4783 = -2*j, -o - 3*j = -1304. What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -37*t + 38*t. Let y = -171 + t. What is the nearest to y in 4, 1, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/5 (b) -77 (c) -6\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -32*d**2 + 5*d + 5. Let r(a) be the second derivative of 76*a**4\/3 - 8*a**3 - 24*a**2 - 284*a + 2. What is -48*p(f) - 5*r(f)?\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 13. Let x(v) = v - 5. Let j be x(g). Which is smaller: -1\/6 or j?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -230, -752, -1762, -3422?\nAnswer: -5894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 134*j**4 - 758*j - j**2 - 5 + 381*j + 379*j + 6 to d*j**2 + p*j + s*j**3 + o + n*j**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-14)*z\/z**9*z)**(2\/5) assuming z is positive.\nAnswer: z**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -170.509 - -170.5. Is 0.23 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 6 = -3*j, 5*j + 771*t - 775*t = 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one fifths of a minute?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.477511 rounded to two decimal places?\nAnswer: 237.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*(n**9*n)\/n*n*n)\/(n**(-7)*n))**(-1\/10) assuming n is positive.\nAnswer: n**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 greater than -226\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -33. Suppose 10*t - s = 8*t. Is 7 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 29529, 2.\nAnswer: 0, 2, 29529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-9)\/(-3))\/(-6))\/((-10)\/21140).\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Suppose -2*p = n - 8, -n = 5*p - 3*n - 20. Let i be p + (-2 + 3)*-6. Let g be i\/(-9) + (-6)\/27. What is w(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b*b**(-4\/7))\/b)*b*b**(2\/11)*b*b*b\/(b\/b**(-1\/3))*b*b**5 assuming b is positive.\nAnswer: b**(2407\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 + 12*q - 2*q**2 - 9*q + 1 + 11*q + 22*q to the form o + t*q + w*q**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + m - 18 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-300)\/30*3\/(-3). Solve 4*m - 3*g = 9 - 1, 5*m = 2*g + q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/2 - 18*k + 3. Let h(y) = -3*y + 1. What is z(h(m))?\nAnswer: -54*m**2 + 36*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w. Let m(p) be the third derivative of 0*p + 0 - 6*p**2 + 0*p**3 - 1\/12*p**4. Calculate l(m(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-4 - 0))*15\/(-6). Solve -3*p - 12 = -4*j, -9*p - 16 = -2*j - l*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -573056*x**2 - 11165*x - 584958. Let j(h) = -4477*h**2 - 87*h - 4570. Let i(w) = 6*g(w) - 770*j(w). What is the derivative of i(v) wrt v?\nAnswer: 17908*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70344015839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1370 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*u = -56 + 311, 3*u + 3 = 0. Suppose 38*t = 35*t + g. Calculate the remainder when t is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -552311 and 0.16?\nAnswer: -88369.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2. Let y(q) = 1141568*q**2. Give p(y(f)).\nAnswer: -1303177498624*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5428, 3946, -78, -7916, -20840, -40122, -67034, -102848?\nAnswer: -148836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.0023 - 29. Round g to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*x - 24 = 0, m - 2*x = 32116 - 32111 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24515 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3 = -t. Let l = 56 - 167\/3. Sort t, -3\/23, l in decreasing order.\nAnswer: t, l, -3\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1074 = 6*r - 540. Suppose y - 5*b + 55 = r, -4*b = 2*y - 470. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (-3 - (2 + -10)) + -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10. Suppose 0 = -n*x - 3*u + 7, u + 3 = 4*x - 4*u. Factor -2\/3*p**x + 2*p - 4\/3.\nAnswer: -2*(p - 2)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o + 70. Let w be n(-5). Suppose w = -8*v + 1647 - 151. Calculate the remainder when v is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 10 = -5*b + 11, -4*c = 16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 7 + -1 + -3. Let t = w + 3. Solve 3*c - 12 = -t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274567 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091 take away -118784009.0909?\nAnswer: 118784008.9999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 689 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/2 + 709294*g**3 - 251548989218*g**2.\nAnswer: -g**2*(g - 709294)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/64075 and 37\/5825.\nAnswer: 64075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -11\/7*k**3 - 288 + 6\/7*k**2 + 0*k. Determine z so that f(z) = 0.\nAnswer: 0, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1577654375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u - 0. Let l(z) be the second derivative of -z**5\/20 + 5*z**4\/12 + 5*z**2\/2 + z + 15. Let f(r) = r**3 - 4*r**2 - 4. Calculate u*f(k) - 2*l(k).\nAnswer: -k**3 + 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence joy when three letters picked without replacement from {i: 5, y: 1, g: 1, o: 3, x: 2, j: 8}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*t - 4 = 0, 5*m + 53 - 71 = -t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvrorrkmdkkkovd. What is prob of sequence mk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (4 + -7 - -8) + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 118\/160265 or 0?\nAnswer: 118\/160265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-54)\/12*44\/(-3)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -379387+523451\nAnswer: 144064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/22 and (-1164)\/(-16)*1\/(-15).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202656 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) -3 (b) 2\/9 (c) 5 (d) -51\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**5 - 2863014*y**3 + 14*y**2 - 38*y + 8707.\nAnswer: 60*y**2 - 17178084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 9*t - 7. Let z be f(7). Let x = -1327\/12 + z. Calculate the common denominator of x and 1\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n. Suppose 4*w - 3*v = -3, -v + 3 - 2 = -2*w. Suppose w*j - j = 0. Let m be a(j). Solve -h + 3 = -m*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/(51\/19635*-22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1100 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13331034 + -2301?\nAnswer: 13323233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 + -148.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 244?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63 or 25119\/404?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - g = -177, 4*g + 27 = -f + 2*f. What is the remainder when f is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -2382, -1 in increasing order.\nAnswer: -2382, -20, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3591\/(-12) + (-6)\/8. Let b be (-689999994)\/(-10) + 18*(-10)\/u. What is b rounded to the nearest one million?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 = -3*m - 44, 2*m + 8 = 0. Let g = 32 + h. What is the second derivative of 7*s**g - s**2 - s**2 + 9*s + 2*s**2 wrt s?\nAnswer: 42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -176.544\nAnswer: 706.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.49 and -1.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from bjldlbtjbj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 16*d - 38. Let q be o(4). Let f(u) = u**2 - 10*u - 13. Calculate f(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 7*y + 7. Let t be o(5). Let b = 4 - 1. Let h = b + t. Let z(a) = -a + 4. Calculate z(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24342393, -24342395, -24342397, -24342399, -24342401?\n\"Answer: -2*m - 24342391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/36*2)\/((-2)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -25*s**2 + 30*s - 6. Let d be b(10). Let x = -1330 - d. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8*l - l**2 + 2*l**2 - 18 - 9*l + 6*l. Is x(14) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 1:09 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198.41 + -203. Let w = -4.555 - o. Which is the second biggest value? (a) 0.1 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -13523250?\nAnswer: 13523253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142912 and 434304.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61800115 rounded to the nearest 10000?\nAnswer: 61800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22444402 - 300?\nAnswer: 22444102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**2 + 251232*n - 1256235 = 0.\nAnswer: -83749, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hgbnynyghhhggn. What is prob of picking 1 y and 1 n?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1481548 - 1481547.110061. Let g = -139.11 - -140. Let p = g - q. What is p rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v*v*v*(v*v**(-3\/7))\/v*(v**(-2\/5))**(15\/4))\/((v**6\/v**0)\/((v*v*v*v\/(v*v**6)*v)\/v**(1\/5))) assuming v is positive.\nAnswer: v**(-919\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -48 + 50 - (1 + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, k: 4, x: 2, q: 2}. Give prob of sequence kkcc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5182*n - 15647. What is x(3)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 88 + -166 - -63?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4204038 - -2?\nAnswer: 4204041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j - 3. Let x be (29\/(-4))\/(6\/(-144)). Let s(i) = 101*i - x*i + 75*i. Determine s(h(u)).\nAnswer: -10*u - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -9*b**2 + 69*b - 156. Suppose 0 = -8*f - f - 27. Let d(p) = -17*p**2 + 136*p - 312. Let s(n) = f*d(n) + 5*q(n). Suppose s(g) = 0. Calculate g.\nAnswer: 4, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 805.9689 decades in millennia?\nAnswer: 8.059689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - 4*x - x)*(-3*x**2 + 5*x**2 + 2*x**2)*(-3 + 4 - 3)*(0 + 1 + 1) to the form r*x**3 + o*x + k + f*x**2 and give r.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d - 1. Let h(i) = -i. Let r(w) = 9*h(w) + 2*s(w). Let o be r(6). Solve -3*p + p + o = 0, -2*g + 5*p - 18 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6) - 2*(-7)\/168.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.6445133 hours?\nAnswer: 38.670798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29\/4 + 195\/28. Put 1, -5\/2, -3, b in increasing order.\nAnswer: -3, -5\/2, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 8) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3)**(-6\/13)\/(o**(2\/5))**(-40) assuming o is positive.\nAnswer: o**(184\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 6 = 5*q. Suppose -q*y - 20 = -4*y. Suppose 3*r - 4*n - y = 0, -2*r - 2*n + 6*n = -8. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2916 and 11664?\nAnswer: 11664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*f*l*r**3*s**2 + 2*f*l*r**2*s - f*l*s**3 - 206*f*r**3*s**3 - l*r**3*s - 2*l*s**2 wrt s?\nAnswer: -6*f*l - 1236*f*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.6, 0.4, -1\/5 in descending order.\nAnswer: 2.6, 0.4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 9309*u**2 + 9295*u**2 - 13*u - 38*u)*(u**2 - 1 + 1).\nAnswer: u**5 - 14*u**4 - 51*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + c. Let z(r) = 3*r**2 + 3*r + 1. Suppose 722 = -q + 2*q + 3*t, -710 = -q + t. Let d = q - 714. Determine d*y(h) + z(h).\nAnswer: 2*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-330)\/12705)\/(6\/(-231)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/11 (b) -5.77 (c) -0.3 (d) -0.4 (e) -0.037\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 254999 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-50) - (-3602)\/10. Suppose s = -2*m - 2 + 83, -4*s + v = -4*m. What is the remainder when s is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8*a + 8*a - 7*a)*(0 + 0 - 4*a) - 3*a**2 - 6 + a**2 + 4)*(0 + 0 + 2*a).\nAnswer: -76*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84340.\nAnswer: 2, 5, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 + 37. Let w be ((-32)\/6*-1)\/(12\/54). Calculate the highest common factor of w and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Suppose -4*x - 1 = 3*n, 0 = 2*n - 3*n - x. Let b be 3\/(-2) - 36\/8. Let a(f) = 5*f + 1. Determine b*w(i) + n*a(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57373278 is divided by 28686631.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.9 and -0.3?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/14)\/((-10)\/35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3924883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1129 = 18*n + 1201. Put n, 1, -18, -1 in descending order.\nAnswer: 1, -1, n, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 52\/40005?\nAnswer: 52\/40005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*l = -24*l - 20. Suppose 12 - 42 = -2*v. What is the highest common factor of v and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 60 + 35 = -5*s, -4*j = -s + 22 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -109\/4 (c) 11 (d) -7 (e) 2\/7 (f) 0.06 (g) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, -3, 3 in descending order.\nAnswer: 5, 3, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) + -6*sqrt(209)*-1 + sqrt(209)))\/(sqrt(22)\/(sqrt(8)\/sqrt(4)) + sqrt(11)) - (sqrt(19)*1 + 2 + 3*sqrt(19) + -4))**2*3 + 5.\nAnswer: -90*sqrt(19) + 12893\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, 4, 1117 in ascending order.\nAnswer: 4, 101, 1117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 123, 260.6, -0.5 in decreasing order.\nAnswer: 260.6, 123, 23, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - 6*b - 7*b)*(b**4 + 2*b - 2*b + (2 + b**2 - 2)*(5*b**2 - 5*b**2 + b**2) + (3*b**3 + 3 - 3)*(2*b + 2*b - 2*b)).\nAnswer: -64*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z - 1. Suppose -16*s + 0 = -72*s - 168. Let b(f) = -10*f**2 - 2*f - 5. Calculate s*i(y) + b(y).\nAnswer: -13*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 31609172 - 5*j**3 - 31609172.\nAnswer: -5*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 4*y + 3. Suppose -4*h + 35 = 4*c - 33, 43 = y*c + h. Let j(v) = 11*v - 3. Let d be j(c). Round d to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from {e: 5, c: 15}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010000101100101 (base 2) to base 6.\nAnswer: -1330553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -12 - 8. Let s(p) = 2319*p - 3. Let r be s(-1). Let t be r\/(-189) - (-4)\/(-14). Solve d*c = 4 + t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3652457 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210 - -1011220010?\nAnswer: 1011222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/3 + 13447*x**2\/3 - 44793*x + 40311 = 0. Calculate x.\nAnswer: 1, 9, 13437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -26. Let t = 143 + -145. Let c(x) = -81*x - 89. Calculate the remainder when c(t) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*r**2 + 42*r**2 + 47*r**2 + 27*r**2 to h*r + z + p*r**2 and give p.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16080 and 760.\nAnswer: 305520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 29 = 1. Suppose -2*p + c*p = 224. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 281 + -113. Let i = d - -19. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/16 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15591730 by -40498.\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/6 + 23219*o\/2 - 69655\/3 = 0. What is o?\nAnswer: 2, 69655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three tenths of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**(6\/11)))*h*h*h*h*h**0\/h*h**(-2)\/h*h**(-5)*h*h*h)**(4\/23) assuming h is positive.\nAnswer: h**(-20\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {h: 1, v: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + 6*q. Let v be i(6). Let j = 0 - v. Let d = -11 - -12. Put j, -2, d in decreasing order.\nAnswer: d, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -323*l**4\/12 - l**3\/6 + 79*l**2\/2 + 110*l - 1. Find the second derivative of p(g) wrt g.\nAnswer: -646","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-20) + (-46)\/(-8). Let c be (3 + 1)*k\/(-20). Let u(h) = -h**3 + 24*h**2 - 4. Let s be u(24). What is the second smallest value in 13, s, c, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((44\/8)\/11)\/((-38)\/1330*10)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 385172 (base 10) in base 14?\nAnswer: a0524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -3*s**5\/20 + 45*s**4\/4 - 483*s**3\/2 - 1587*s**2\/2 + 147*s. Factor f(j).\nAnswer: -3*(j - 23)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 101000?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 426735.3 rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 11*u + 34764. Let r be (0 - 3) + u\/(-26). Let p = r + -220. Which is the second smallest value? (a) 4 (b) 0.17 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6724*c**4 - 32964*c**3 - 23632*c**2 + 2544*c - 64 = 0 for c.\nAnswer: -4, -1, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -419, -353, -289, -227?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(1008)*-1)**2 + 3 - (-2 + -2*sqrt(1008))) + -5*(sqrt(700) + -1*sqrt(700) + (sqrt(7)*-2*-4 - sqrt(7)))**2.\nAnswer: -699 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1712\/64 - (1\/(-1))\/4. Let k be -3*(-2 + 2 + -1). Solve 5*t = -3*z - g, z + 1 = -k*t + 3*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656*r**2 - 9*r**3 - 659*r**2 - 662*r**2 - 485*r**2 + 2462*r**2.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 65284975\nAnswer: 2\/65284975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 191 = 229. What is the smallest value in 5, l, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878*f + 2636*f - 2 - 888*f - 890*f + 2.\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 2*l - 1, -57178*l + 57172*l - 9 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*k**3 - 206*k**2*m - k + 3*m - 1168 with respect to k.\nAnswer: 18*k**2 - 412*k*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/131291540 or 0?\nAnswer: -1\/131291540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-20) + 303\/(-202)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -229249396*z**4 + 150911704 wrt z?\nAnswer: -916997584*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 35017728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**5 + 4*u**3 - 3*u. Let a = -6 - -5. Let g(i) = i**5 - i**3. Let v(w) = a*n(w) - 4*g(w). Find the second derivative of v(d) wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -614.1*414\nAnswer: -254237.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8477784 and 1188?\nAnswer: 93255624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230903 is divided by 502?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -402314 (base 5) to base 16.\nAnswer: -3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -0.86 (b) -1041 (c) -1\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + q**2 + 6*q - 6*q + 5 - 7. Let n be t(-1). Suppose -n + 3 = j. Does j = 7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.429155 from -103.\nAnswer: -103.429155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2\/19, -13, 5, -70?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 28 = 106. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/1356690 and -139\/8954154?\nAnswer: 44770770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12822.\nAnswer: 2, 3, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2266177237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45835 is divided by 1141.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*2*1\/(-4) + 46. Suppose 4*y - f = 52. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -8 + 23 + -18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4939*w**2 + 8*w - 11064. Let i(h) = -1650*h**2 - 3*h + 3688. Let g(r) = 8*i(r) + 3*n(r). Differentiate g(b) wrt b.\nAnswer: 3234*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-46)\/(-10) + -1)\/(15\/(-150)). Let h = o + 38. Solve -g - m = h, -2*g = 3*g - 5*m + 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1.4211.\nAnswer: -0.71055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = 17*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.61549 minus 132.919?\nAnswer: -7.30351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 6:39 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) -0.0166 (b) -5 (c) -2\/9 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -2, 3, -16.\nAnswer: -64, -16, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypck when four letters picked without replacement from {t: 1, c: 1, p: 1, y: 2, k: 1, h: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096\/13860 - 46\/(-2277)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 - (-18)\/30. Is ((-6)\/4)\/(v\/(-38)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxhhxxxxxh. What is prob of picking 2 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2815437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1. Let u(i) = 0*i + 4 + i - 6. Let z(n) = -5*h(n) - u(n). Let r be z(6). Let p(q) = -12*q**2 - q + 1. What is p(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147539 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 9647883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 12:13 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -21. What is the closest to 1 in -1\/2, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -4795*r**4\/12 + r**3\/3 + 705*r**2\/2 + 3867*r. Find the second derivative of x(p) wrt p.\nAnswer: -9590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94215, -94210, -94205, -94200?\nAnswer: -94195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270160, -270162, -270166, -270172?\nAnswer: -270180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - -5)\/(2\/(-12)). Let a(h) = 12*h - 11*h**2 - j*h. Let s(g) = 9*g + 7. Let q(d) = 8*d + 6. Let c(w) = 7*q(w) - 6*s(w). Calculate a(c(l)).\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6)*(-712)\/4272)\/(3\/(-12))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + -2 + -12 + -21.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -0.1 (c) -4 (d) 22\/1435 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60592 divided by -15148?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/(-10))\/((-2)\/1228) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/75*(3069\/62)\/((-7)\/(-28))\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3646, -120 in decreasing order.\nAnswer: 3646, 1, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12427 and 571931.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: -246 divided by 250292\nAnswer: -123\/125146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543 = 11*t - 1393. Let k = 7 - -9. What is the highest common divisor of t and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22944, 24804, 26664, 28524?\n\"Answer: 1860*d + 21084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22547 * -1.2\nAnswer: -27056.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26571, -106505, -239731, -426249, -666059, -959161?\n\"Answer: -26646*c**2 + 4*c + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -14.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0037646 to 3 decimal places.\nAnswer: -1.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9875, -9886, -9897, -9908?\nAnswer: -9919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 11*n**2 - 12*n + 7. Determine w(9).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 11) to base 4\nAnswer: -1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4482831, 8965666, 13448501?\n\"Answer: 4482835*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 1:47 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 5) to base 9\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/1)\/((-2)\/(-4)). Suppose 5*d + 0*l - 2*l - v = 0, -l - 5 = 0. Let t(n) = -4*n**2 - d + 2. Let j(z) = -2*z**2. Determine j(t(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.878 rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 21*i - 12. What is the remainder when f(25) is divided by 53?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -380957*d - 6. Let j(w) = -5*w. Give u(j(m)).\nAnswer: 1904785*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (-3)\/(-6)) + 0. Let r = -29\/301 + -2\/43. What is the closest to j in 4, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**2\/2 - 2*v + 5. Let z be b(4). Which is bigger: z or -8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 12:58 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 3*l**2\/2 + 15*l - 4. Let p be x(5). Is 34 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152\/219 - -2\/73. Which is smaller: v or -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z + 34 + 27 = 61. Let d(a) = -a**3 + a**2 - 3*a + 49. What is d(z)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56022743 + 2.79196?\nAnswer: -56022740.20804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176675, -353377, -530079?\nAnswer: -706781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 72, 93, 104, 105?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61374564?\nAnswer: 2, 3, 37, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3)*(-27)\/(-36). Let q(a) = a**3 - 8*a**2 + 7*a + 4. Let k be q(7). Let w be 2 - 3\/(6\/k). Is w less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128749 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1137*(2 + -11)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*x + 6*x, 21 = 2*y + x. Find the first derivative of -y*t**4 - 9*t**4 + t**2 - 4 - t**2 wrt t.\nAnswer: -72*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -3*y**5\/100 + 11*y**4\/30 - 5*y**3\/6 + 3*y**2\/5 - y - 2. Solve g(t) = 0.\nAnswer: 1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4162882 (base 9) in base 5?\nAnswer: 1032220414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*h + 24*h + 27*h + 39*h - 140*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, z: 3, h: 3, g: 12}. Give prob of picking 2 h.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54.807 + 12.193. Put 5, k, 0.042 in decreasing order.\nAnswer: k, 5, 0.042","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3 + 16*s**2 - 20*s - 400 = 0.\nAnswer: -4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5 - 208329*s**4 + 2*s**3 - 222023*s**2 + 4*s wrt s.\nAnswer: 60*s**2 - 4999896*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4918.0000019048 - -4918. Round u to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3232848 and 1.\nAnswer: 3232848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -236.4 + 213. Let p = j + 15. Let q = p + 8.3. Which is the closest to -1? (a) 1\/3 (b) 0.2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -9. Let a(t) = t + 3. Let z be a(j). Put z, 1, 0 in increasing order.\nAnswer: z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20880 and 12240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*t**5 + 5195*t**2 + 3893*t + 15 wrt t.\nAnswer: 420*t**3 + 10390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 611859471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qttbqtqqqqqqqqtqqt. Give prob of sequence ttqb.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1066340*r + 374 + 2986 = -1066400*r for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**3 + 24*f**2 - 9*f + 19. Let g(i) = -13*i**3 + 49*i**2 - 16*i + 36. Determine 6*g(y) - 11*x(y).\nAnswer: -y**3 + 30*y**2 + 3*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**16*d**8*(d\/(((d**(-3\/10)*d)\/d)\/d*d))**(-29))**(-46) assuming d is positive.\nAnswer: d**(3151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/7)\/i)\/(i**(-9)*i)*(i**(4\/9))**21 assuming i is positive.\nAnswer: i**(346\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1053)*1*-2*-2*4*2)**2.\nAnswer: 38817792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/4 + 133\/14. Suppose -i*j - 16 = -12*j. Solve -g - 3*g + j = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1166)\/(-332) - -161*134\/(-6164)\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(10\/(-8))*-10. Let g be 78\/l + 1\/4. Let z(q) = q + 11. Let f be z(-6). Solve 0*n = -f*n + g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**6\/144 - j**5\/120 + j**4\/12 + j**2. Let y(p) be the second derivative of n(p). Suppose 0 = -10*l + 13 - 3. Give y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 126*i**2 - 5*i - 67. Let x(u) = 129*u**2 - 6*u - 66. Let r(j) = 5*w(j) - 4*x(j). Find the second derivative of r(y) wrt y.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*q**4 - 126204*q**3 + 273866*q**2 + 7?\nAnswer: -744*q - 757224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 721923 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 29, 15, -33, -127?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(33)\/sqrt(3) - sqrt(1584)*-2.\nAnswer: 2 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 81953.44g in kilograms?\nAnswer: 81.95344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5 - -3711)*3\/18*18.\nAnswer: 2, 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22229471, -22229469, -22229467?\nAnswer: -22229465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.3034.\nAnswer: -2.1238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/5))**(-23)\/(j**(5\/6)*((j**17*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-919\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8078.2806 + 8123.28059971. Let l = c - 45. Round l to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -316 - 90. What is the tens digit of (b\/(-56))\/((-2)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5.87, 15, 1\/45?\nAnswer: 5.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -523*j**4 + 687*j**3 + 232934*j**2 wrt j.\nAnswer: -12552*j + 4122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**2 - 36*j + 80 = 0?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)\/(a*a**(-11)))**(13\/4) assuming a is positive.\nAnswer: a**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b1275 (base 15) in base 9?\nAnswer: -2431852","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**8\/420 + 2*n**7\/175 - n**6\/50 + n**5\/75 - 4*n**2. Factor m(y).\nAnswer: -4*y**2*(y - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11855797 by 1.\nAnswer: 11855797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 5. Let g(u) = u**3 - 5*u**2 + 5*u + 3. Let f be g(4). Let c = f + w. Solve -c = 4*v + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -30 - 22. Suppose 2*y - 2*x = 10, -5*x - 20 = -2*y - 1. Find the common denominator of -5\/3 and y\/t*(-7)\/(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59808 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:48 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2008*o**2\/7 - 52210*o\/7 + 52\/7 = 0.\nAnswer: 1\/1004, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -74, -60, -40, -14, 18, 56?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c**3 - 145835*c**2 + 1210670*c - 334000 = 0. What is c?\nAnswer: -4175, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:27 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = q, -5*n - 13*q = -12*q - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (54\/36)\/(1\/13296) + 1 + -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 10*n - 10. Let y be h(8). Suppose t = 3*t - y. Suppose 2*i + t*b = 7*i + 1, b = 2*i + 1. What is the nearest to i in -5, -0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*d + 17, 0 = -0*l - l - 5*d + 23. Suppose l*v = 4*v - 5. Suppose 22 = 4*f + v*c + 4, -f = 4*c - 10. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**6\/240 - z**5\/24 - z**4\/12 - 129*z**2\/2 + 88*z. Let u(s) be the first derivative of a(s). Factor u(i).\nAnswer: -i*(i + 1)*(i + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 59. Suppose 5 = 3*g - 1. Suppose 0 = v - g. Solve -o + t = v*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -402.156 and -21289.7725.\nAnswer: -21691.9285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d = -33. What is the first derivative of -d + 24 + 3*m**3 - 14*m**3 wrt m?\nAnswer: -33*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by 812.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -73871 divided by -7?\nAnswer: 10553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -488 + 498. Suppose p*v + 7*v = 289. Let w = -80 + 144. What is the remainder when w is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttthhhhthtthhhthtt?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x - 200. What is the tens digit of (-1)\/(148\/x - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h + 16. Let g be k(0). Differentiate g*y**3 + 5 + 18*y**3 - 32*y**3 with respect to y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4288.3 and 1.9?\nAnswer: 8147.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1470336 and 798.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eupueelgeelue. Give prob of sequence gpu.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 30\/9 - (-2)\/3. Let j be (l\/6)\/(-1 - 55\/(-45)). Suppose n = -y + 5, -y - 4*n = -j - 8. What is the lowest common multiple of 5 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3131499 is divided by 282.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 15*h + 19. Let i be k(-14). Solve -c - i = g - 2*g, -2 = 2*g + 2*c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -79*u + 22. Let g(p) = -14*p + 1. Let s(r) = c(r) - 6*g(r). Let x(t) = -t - 3. Suppose -5*w = i + 21, 5*i = -2*w - 38 - 21. Give i*x(o) - 2*s(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i. Let j(c) be the second derivative of 0*c**2 + 1\/6*c**3 + 0 - c. Determine l(j(u)).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627 is divided by 513.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -2)\/(-5 - (-189)\/35). What is the second derivative of -t - x*t**3 + 3*t**3 - 37*t + 20*t**5 wrt t?\nAnswer: 400*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*6)\/(sqrt(360)\/sqrt(8) + sqrt(5)).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -22*y + 4. Let m be d(-5). Let x be m\/42 - 2\/(-7). Suppose -40*u + x = -37*u. Solve 4*r - 6 = -4*p + 2, 0 = 2*p + r + u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -1)\/(3\/5). Let q(t) = x*t + 0*t - 7*t. Let v(c) = -3*c**2. What is v(q(l))?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, b: 2}. What is prob of sequence gg?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u**2 - 7*u**2 + 3*u**2 - 2*u**2 to the form y*u**2 + n*u + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.4019 to 1 decimal place.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, -22, -7, 14 in descending order.\nAnswer: 14, -7, -22, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -12922*z + 710712. What is j(55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -55d924?\nAnswer: 55d924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*b - 194 = -144*b. Factor 4\/3*f**2 - 11\/3*f + 1\/3*f**3 + b.\nAnswer: (f - 1)**2*(f + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 61*b**3 + 8*b**2 + 10*b - 169. Is m(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -4, -1, -11 in decreasing order.\nAnswer: 5, 4, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 620 + -403. What is the remainder when m is divided by (-9 - (-2366)\/260)*580?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (30 - 11 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -4*f - 64, -61*f - 2*s - 64 = -57*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21439173 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45823.\nAnswer: 45823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -505917 + 505917.0599903. Let p = -0.06 + m. What is p rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6360*r + 71901. Calculate v(11).\nAnswer: 1941","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/l)**(3\/5) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d - 1. Let h be x(1). Suppose 53 - h = 3*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -108680*g**2 + 13728*g - 1144. Let r(d) = 569*d**2 - 72*d + 6. Let k(m) = -572*r(m) - 3*s(m). Let i(w) = w**2. Determine i(k(x)).\nAnswer: 327184*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6122a7 + 1?\nAnswer: -6122a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 153817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 146.\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 141325.\nAnswer: 282650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4*(36\/80)\/(15\/10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 2338*f + 25587. Calculate b(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(-26*c - 15*c - 64*c)*(8*c - 1 - 6*c + 2 - c - 3*c + 2*c + (3*c - 3*c + 2*c)*(4 - 4 - 1)) as l*c**2 + u + s*c and give s.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381, 396, 433, 498, 597, 736, 921?\nAnswer: 1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3591, 3564, 3537, 3510, 3483?\n\"Answer: -27*o + 3618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**6 + d**4 - d**3 - d**2. Let t(k) = 2*k**6 - 5*k**4 + 5*k**3 - 5*k**2. Let l(a) = -5*m(a) - t(a). What is the third derivative of l(w) wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 250 = -v, -3*v - 500 = -5*v + 2*p. Differentiate -250*n - 32 + v*n + 35*n**4 with respect to n.\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6120 * 12.334\nAnswer: 75484.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 63 (b) -1\/2 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*u**2 - 36550*u + 13704.\nAnswer: 2*(u - 2284)*(8*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3195)\/(-2130))\/((-426)\/(-8)).\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 + -1) - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 966.836182 + 1421249438.163818. Let b = n + -1421250366.99999915. Let f = -38 + b. Round f to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7734*m + 7738 = 55*m - 261027 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/8 - 3\/8*f**2 - 15\/4*f.\nAnswer: -3*(f + 1)*(f + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16.40994l?\nAnswer: 16409.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 132415 = -15592. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*y**2 + 471*y**2 + 1283*y**2.\nAnswer: 2112*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -16*a + 53*a + 3 - 28*a. Determine r(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8 * 3.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 8 = -2*t, -3*t = -3*v - 0*v - 30. What is the highest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 10\/5403?\nAnswer: 10\/5403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 58110120.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36662 + 36652. What is the second smallest value in 4, -203, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2167699386 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 - 9*h. Let j be s(5). What is the second biggest value in 24, j, -2\/7, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**5\/20 - n**4\/6 - n**3\/2 + 2*n**2 + 23*n. Give v(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/2604 and 11\/1860.\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -21\/585428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 1985 + 7907. Suppose 2*v + 3*v = -2*s + 1645, -2*v + y = 3*s. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**7\/70 + m**5\/60 - 121*m**3\/2 + 3*m**2 - 12*m. Differentiate o(z) wrt z.\nAnswer: -12*z**3 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)\/c)\/c)**5\/(c\/c**(-5)*c**(-2\/3)*c) assuming c is positive.\nAnswer: c**(-181\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -19*t + 21*t + 0 + 2 - 3*t. Let q = -15 + 11. Let o be g(q). Solve -w + o = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -177, -216, -255, -294, -333, -372?\n\"Answer: -39*s - 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(3 - 2 + 3)*(2 - 3 + 6)*(-4*t + 0*t + 5*t) as d*t + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30963279 to the power of 1\/2, to the nearest integer?\nAnswer: 5564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 8*s**2 - 5*s + 7. What is r(9)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*i**2 + 39*i**2 - 82*i**2)*(-3 - 4*i + 3).\nAnswer: 308*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206 divided by -1.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1279*j**2. Let m(q) = -79263*q. Give l(m(x)).\nAnswer: -8035475033151*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -23. Let l = -171.8 - -172. What is the nearest to q in -5, l, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 111. Let d = u - -70. Sort d, -6, 0.5, -1.\nAnswer: -6, d, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 3 + z**2 - 3)*(z**2 + z + 0*z - 2*z**2) + 2*z**2 + z**4 - 2*z**2 + (4*z**2 - 5*z**2 - 5*z**2)*(-6*z - 2*z**2 + 6*z).\nAnswer: 12*z**4 - 3*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 4*w**2 + 3*w + 1. Let a be r(-2). Suppose -a*d + 14 + 13 = 0. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*w, -17*f + 13*f - 4*w + 12 = 0. Sort f, -72, 3 in increasing order.\nAnswer: -72, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**3 - 5*q**2 - 27. Let r(n) = 252*n**3 - 484*n**3 + 230*n**3 + 8 + 5 + 3*n**2. Calculate -3*b(x) - 5*r(x).\nAnswer: x**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 5)*(63 - 63 + 9*m).\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -733*x - 335. What is the hundreds digit of s(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 3*y + 2*y + y**3 + 0*y + y**2.\nAnswer: (y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 5:39 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23505 divided by 7835\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -3. Suppose -3*c + 6*c = 2*o, 0 = d*o + 3*c. Suppose 2*r - 7*r + 25 = o. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3272 - -0.3272041324. What is j rounded to seven dps?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 - -110044?\nAnswer: 104423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 234 divide 3190122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4393158?\nAnswer: 2, 3, 7, 11, 37, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1217 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100010200000111120 + 0?\nAnswer: 100010200000111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 706 in decreasing order.\nAnswer: 706, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h - 88. Let l be q(11). Solve 2*n - 14 = -4*j, -4*n + 4*j - 26 - 6 = l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -521 + 2452555?\nAnswer: 2452034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6367?\nAnswer: 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 4623639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k. Let j(o) = -o + 69. Determine j(a(r)).\nAnswer: -2*r + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 - 2484*o**2 + 116700*o - 1427500.\nAnswer: 4*(o - 571)*(o - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 + 0 = -5*i, 2*h = 5*i + 6. Let r = -3 + h. Suppose -d - 9 = -6*q + 3*q, -3*q - 9 = r*d. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 16. Let j = 4 + 0. Let s = 1 + j. What is the third biggest value in a, 3, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 87 = 2*v. Suppose -u + v = 153. Is 1*u*1\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k - 2 + 6*k**3 - 5*k**3 + 4*k**3 - 23*k**2 + 0*k**3 + 10*k**2 wrt k.\nAnswer: 30*k - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51\/8 + 341\/56. Put 2, 0.1, p in increasing order.\nAnswer: p, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18733\/17 + -1102. Which is greater: -0.7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 10*l + 14*l + 20*l)*(4 - 1 - 2) to the form o*l + u and give o.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1401 - -1987. Let m = y + -555. Solve 5*b = m - 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = 2*n - 22*h - 10, 5*n + h - 42 = 0. Solve -49*q + n = -51*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 419*w + 75*w - 1664 = 78*w. Put w, 3, 275, -18 in descending order.\nAnswer: 275, w, 3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220 - -20221211012221?\nAnswer: 20221211001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59\/18 + -127\/36. Which is the closest to 0.3? (a) -8 (b) m (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -69. Let n = -39 + d. Let l = -19 - n. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**2 - 1. Let b(f) = f**2 + f - 1. Let r(h) = -4*b(h) - c(h). Give r(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4, 16 in decreasing order.\nAnswer: 16, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*z + 90*z = 5*c - 10, -76 = 18*z + 2*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26299668\/577 - 45580. What is the common denominator of 9\/47 and m?\nAnswer: 27119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 19 = -73. What is the third derivative of -18*u**2 - 11*u**2 + d*u**2 + 7*u**5 wrt u?\nAnswer: 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 5*i + 7. Let d be s(7). Suppose -d = -2*w + 3. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108256 * 919\nAnswer: -99487264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1193 by 1193.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.452 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/15302 and -11\/4.\nAnswer: 30604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242 + 4*w - 298 - 36*w + 540.\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*f - 163*f**2 - 31*f - 778 + 690*f**2 + 780 to the form v*f + j + o*f**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -420778183 - -0.15\nAnswer: -420778182.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15449?\nAnswer: 7, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 571*w**8\/28 + w**5\/60 + w**4\/12 - w**3 + 3*w**2 - 2*w + 130. What is the third derivative of n(z) wrt z?\nAnswer: 411120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.93751 - 4.06249. Suppose -7*y + y = -18. Let j = -572\/15 + 38. What is the closest to j in 2\/5, y, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2932\/5 + 53521\/90. What is the common denominator of -57\/2 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - o = -5, -4*f - 24 = o - 13 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.57 and 8173.\nAnswer: -4658.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 6*r - 9 = 0, 12 = 4*t + 13*r - 15*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 418*t**2 - 17341*t + 5930. What is q(456)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 13. Let l = x + 1. Let t = l + -4. Which is the nearest to 2\/3? (a) 0.5 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence clul when four letters picked without replacement from cghltuhghult.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, 0.01, -4, 5, -1 in decreasing order.\nAnswer: 5, 0.01, -0.7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 6896*z - 6894. Give c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 3*h = 0, -30 = -h - 27 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**4 - f**4 - 3*f**4)*((3 - 3 + 2*f)*(0 - 2 + 1) + f + 2*f + f + 4*f - 2*f + 0*f + (3*f + f - 2*f)*(-3 + 3 + 2) + 2*f - 1 + 1).\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 7) to base 8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -12*k**2 + 7*k. Suppose -4 = 18*p - 17*p. Let m(z) = 13*z**2 - 7*z. Let r(s) = p*d(s) - 3*m(s). What is the second derivative of r(a) wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 24 (c) -0.2 (d) 3 (e) -54 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/(-8) + ((-14)\/8)\/(-7). Suppose -2*o - 2*u + 9 = 3, u = k*o - 15. Solve -o*h - 3 + 9 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbbijbbbibb. Give prob of sequence jbi.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01872500682 to six decimal places.\nAnswer: -0.018725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239 - 3*m + 21*m**2 - m + 239.\nAnswer: 21*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9*1\/(3\/(-4)). Let m = n + 101. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.113 - 0.113. Let n = s + -27.479. Round n to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-370 + 493 + 643)*(0 - 6*a + 0 - a**2).\nAnswer: -766*a**2 - 4596*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71471 is divided by 217?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {q: 1, j: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.12 - -5. Let i = p - -0.62. Let u = 182 + -551\/3. Sort -1\/4, u, i in decreasing order.\nAnswer: i, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - o + 40 = 0, 4*v - 5*o - 250 = -v. Suppose -10*x + v + 25 = 0. Let d be (10\/(-4))\/(-5)*10. Solve 0 = -q - 5*l - 4, -4*l + 8 = d*q - x*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40086 divided by -6.\nAnswer: -6681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 418.5768 millennia to years.\nAnswer: 418576.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2308*g + 15376 = 777*g - 7589 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -1502.\nAnswer: -15\/751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.35 (b) -5 (c) 2 (d) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00360015073 rounded to four dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 40 = -2*l. Suppose -3*r + l*m + 617 = -1796, -2*m = -4*r + 3224. What are the prime factors of r?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1058\/28 + ((-33)\/(-7) - 5). Let f = v - 963\/26. Factor -2\/13*w**3 - f*w**2 + 8\/13 + 0*w.\nAnswer: -2*(w - 1)*(w + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 8) to base 7\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {r: 5, s: 14}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 0.7, 5, 3, -79.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15395 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -2 - -1 - (6359 - 6354).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433 is divided by 148?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1299244 rounded to 2 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(sqrt(567) - sqrt(567)*-5)**2*-5 - ((-5*sqrt(567)*1 - sqrt(567)) + (2 + sqrt(567) - sqrt(567)) + sqrt(567) + sqrt(567) + 5)**2).\nAnswer: -417361 + 504*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*g**4 - 4*g**4 + 3*g**4 + (-405*g - 14*g**2 + 405*g)*(15*g**2 - 3*g - 3*g**2 + 1 - 10*g**2) in the form k*g**3 + w*g + p*g**2 + r + a*g**4 and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + -11102?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 9. Is z != -0.099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*d = 2, -q - 3*d + 0 = 5. Let t be 23413\/13 - (q + -1). Suppose 1646 = 5*w - t. Round w to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25\/13 + 43\/52. Calculate the common denominator of 133\/6 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:56 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 1\/3 (c) 2 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 3*b + 10. Let l be a(-3). Suppose -l = -2*w - 3*t, 0 - 4 = w - 3*t. Which is smaller: w or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.47105 + -0.47. What is m rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**5\/15 - 2*h**3\/3 + 3*h**2\/2 + 2*h. Let o(d) be the first derivative of q(d). What is the first derivative of o(r) wrt r?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70030.607 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*r. Let s(f) = -f**2 - 6 + 8*f**2 - 8*f**2. What is s(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39139, -40835, -42531, -44227?\n\"Answer: -1696*q - 37443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/49 + (-220)\/14. Let h = 48 + v. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 24*f**2 + 8*f - 8. Let y(j) = 8*j**2 + 3*j - 3. Let s(d) = -3*u(d) + 8*y(d). Let x(o) = -17*o + 59*o - 23*o - 15*o. Give s(x(b)).\nAnswer: -128*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2, 3\/10, -80.3 in ascending order.\nAnswer: -80.3, 0.2, 3\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 5*a**6\/3 - 2*a**5\/5 + 7*a**4\/2 - 22*a**3\/3 + 27*a**2\/2 + 4*a + 10869. Find the third derivative of j(o) wrt o.\nAnswer: 600*o**2 - 48*o + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 14*n + 39. Let o(u) = -u - 14. Give -j(r) + 6*o(r).\nAnswer: 2*r**2 + 8*r - 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a minute?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 40*v. Let b(a) = -8*a. Give w(b(g)).\nAnswer: -320*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u**5 + 292*u**4 - 756*u**3 + 586*u**2 - 37*u - 78 = 0 for u.\nAnswer: -2\/7, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmqqdqmqqdqd. Give prob of picking 3 d and 1 m.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30297476549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1467*r**2 + 2*r + 779*r**2 + 820*r**2 as x + s*r**2 + t*r and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0278491 to four dps.\nAnswer: 0.0278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17643859500 rounded to the nearest 1000000?\nAnswer: -17644000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i = 33. Suppose 0 = 5*v - l - 4 - i, -2*v + 3*l + 19 = 0. Calculate the lowest common multiple of 1 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -11*x - 5. Let n(a) = -2*a - 1. Calculate 34*n(y) - 6*p(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010 - -1001110?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2613.37398 rounded to the nearest one hundred?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83373.49 + -83381.4900015. Let l = -41 + 49. Let h = x + l. Round h to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*b - 28842 = 5*b - 38*b. What is the remainder when b is divided by 88?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758521 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/3, -17, 32 in increasing order.\nAnswer: -17, -5, 1\/3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - (-5 + 0) - 3. Let c = d + -1. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*f + 50 = f, -3*f + 22 = -n. Let o = 748 + -579. Let y = -171 + o. Which is the closest to -1? (a) y (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 8 = -2*q, -5 - 6 = -3*r + 2*q. Let z be (-3)\/6*-2*r. What is the derivative of -4*l**3 + 4*l**3 - 5*l**3 - l**z - 3 wrt l?\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -0.3, 0.05, 1\/19.\nAnswer: -0.3, 0.05, 1\/19, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 4\/5, -611.889 in increasing order.\nAnswer: -611.889, 0.03, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11042\/158837 or 1?\nAnswer: -11042\/158837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.7, 0, -2.4, -0.49245?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23\/9 + 22\/9. Let t be (4\/(-36))\/((-1)\/2) - (-1220)\/(-10431). Suppose 5*r + 16 = -s - 0, 5*r = -5*s. Which is the closest to t? (a) h (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035761252 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7239 + 0.2761. Put 0.4, o, -11\/2 in decreasing order.\nAnswer: o, 0.4, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Suppose p - 24 = -2*i, -t*i - 3*p + 38 = -2*p. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -130*y - 846. What is z(-20)?\nAnswer: 1754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (sqrt(16) + -4*-1*sqrt(16)))\/(sqrt(48)\/sqrt(24)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 2:39 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18250 divided by 6.\nAnswer: 9125\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n - 5*u - 15, -3 = 3*n + u. Suppose 7*b = -3*g + 5*b + 2057, -g - 4*b + 699 = n. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 379296784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -921.00407 + 921. Round p to four dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*b = -6*l, -3*l = 3*b - 30 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 4.33, 5\/2, -2\/9, -0.1, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x - 22. Let i be r(-14). Calculate the highest common factor of 312 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/4 + 901*r**2\/2 + 483085*r + 964366 = 0. Calculate r.\nAnswer: -754, -2, 2558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + (-147)\/15)*(5 - 4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 28188615 + 19899370 = 5*p, 3*o + 5*p = 72131985. What is o rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 451312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1579 + 3975 + 3387 - 1456 - 1663)*(-3 - 3*n**2 + 3) to b*n + m*n**2 + i and give m.\nAnswer: -17466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 2*q**2 - 8*q - 3. Give y(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 minus 8355985771?\nAnswer: -8355985676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 3*u + 3*z - 49, 4*u - 3*z = 63. What is the least common multiple of u and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:17 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 12:52 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/3)\/z*z)*(z**(-2\/27)\/z)\/z)**(-33)*(z**1\/z)\/((z**(-3\/4)\/z*z)\/z)*(z**(1\/4)\/z)**(-2\/5) assuming z is positive.\nAnswer: z**(2789\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 o when four letters picked without replacement from {v: 12, o: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a second in microseconds?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/5))\/l**(2\/65) assuming l is positive.\nAnswer: l**(76\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) 1\/2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 + 2*g**3 - 4*g**2.\nAnswer: 2*g**2*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/25 and 9\/63742720?\nAnswer: 318713600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/8)\/(2\/(-12)). Let g = 5 - s. Suppose -g*v - v = -9. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418.086 rounded to the nearest ten?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 11*d**2 - d - 7. Let y be n(-11). Suppose 0 = 3*k - 36 + 3. Let u = y + k. Solve 0*o = 3*o - u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2495400 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 8*a**2 + 12*a - 11. Let j be d(7). What is the greatest common factor of 15 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -892, -899, -908, -919, -932, -947?\n\"Answer: -s**2 - 4*s - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 31012311?\nAnswer: 31012311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0350614 rounded to three decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:52 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m = -40. Let f(n) be the third derivative of -13*n**4\/24 - 31*n**3\/3 - 5*n**2 - 7. What is the least common multiple of m and f(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23740106*f*n**2 - 2*f + 651066*n wrt n?\nAnswer: 47480212*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 60*m + 13 - 5 + 35*m**2 + 27. Let t(j) = j**3 - j**2 - j - 1. Let o(b) = -i(b) - 5*t(b). Factor o(k).\nAnswer: -5*(k + 1)*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 13*d**2 + 2*d + 2. Let r(p) = -p**2 - p. Give j(w) + 3*r(w).\nAnswer: 10*w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8349.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - ((12 + -25 - -6) + -86 + 14)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b. Let y(h) = 602439*h. What is x(y(i))?\nAnswer: 3614634*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1*sqrt(20) + sqrt(5))**2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/267 less than or equal to -374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 147*x + 451. Is 5 a factor of p(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 0*u**2 - 1\/4*u**4 + 9*u + 0 + 1\/6*u**6 + 0*u**3 + 0*u**5. Find the third derivative of r(k) wrt k.\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3014, -11749, -26278, -46601, -72718, -104629?\n\"Answer: -2897*j**2 - 44*j - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 14*j**2 - 16*j - 7. Let c be y(-15). Let g be (12\/c)\/(6\/8). What is the lowest common multiple of 20 and 16 + 6 - (g - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -256*o - 759. What is the remainder when 37 is divided by d(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-49)\/(-14))\/7)\/(-2*2).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.5 and 3?\nAnswer: -19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3*q - 6999*f**3 + f**2*q - 63*f**2 + 13 wrt f?\nAnswer: -6*q - 41994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 1 = 7*s. Let w = 13 + s. Is 12 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46212055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -149.6 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 546\/3933 + (-480)\/(-13680)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.85, -11\/3, -0.4, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 5*q**2 - 6*q - 5. Let d be j(-9). Suppose -d - 330 = -8*c. Let l = 100 - c. Solve -g = 3*w - 5 + 13, -l*g + 12 = -w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/3*(-3)\/(-2). Suppose -5 = -4*m - i + 1, 3*m + j*i + 2 = 0. Solve 2*w = m - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 3*j - 2*o + 1, -8 = -4*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 72*q**2 + 36*q. Let b(r) = -r**2 - r. Let l(i) = 36*b(i) + o(i). Let d(v) = 4*v**2. Determine d(l(z)).\nAnswer: 5184*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32971 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3357399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqqxx. Give prob of picking 1 q and 1 x.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (155680\/510825)\/(12\/(-21)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/3 + 6856816*n**2\/3 + 2938413070096*n\/3 - 23508621087872.\nAnswer: 4*(n - 24)*(n + 857114)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*o**2 - 128*o**4 + 2*o - 10*o**2 + 127*o**4 + 3 to the form x*o**2 + g + w*o**3 + y*o + i*o**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22307771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -813730*y + 4882373. Calculate r(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1014 - 5?\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15028 and 3068?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556.745 decades in centuries?\nAnswer: 55.6745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkq when three letters picked without replacement from {k: 7, u: 1, q: 3, t: 5, l: 3}?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -21\/2, -0.2, -6, 5, 0.4, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-443*x - 4*x**2 + 4 - 8 + 441*x)*(90 - 90 - 16*x) in the form n + k*x**3 + p*x**2 + h*x and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3342.\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = n. Suppose 2*x = 5 - n. Suppose 3*a - 11 = -2*t, 3*t + a - 9 = t. Sort t, x, -1 in ascending order.\nAnswer: -1, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1268972300 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020011 (base 3) in base 14?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3 + 87*q**2 + 336*q + 2324. Solve w(o) = 0 for o.\nAnswer: -56, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37.3*-5421\nAnswer: 202203.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1212 - -2770. Calculate the remainder when s is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1988 - 6488 = 125*d for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168507502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 3*k - 47. Give m(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24230235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 5. What is b(10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 312 = -8*a + 7*a, a - 627 = -2*q. What is the remainder when q is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9388, -10857, -14848, -22621, -35436, -54553, -81232?\n\"Answer: -210*g**3 - g**2 + 4*g - 9181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14080 divided by 1408\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 - 5*l**2 - 3*l + 4. Let o(b) = b**3 - 2*b**2 - b + 1. Calculate -f(m) + 4*o(m).\nAnswer: 6*m**3 - 3*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -14. Suppose -w*i = -9*i + 12. Let c = 15 - 11. Are i and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 736 and 416.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 572885557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5222785 rounded to two decimal places?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (2 - (4 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**5\/10 - 7*f**4\/12 - f**3\/2 - 5*f**2 + 4*f. Does 40 divide r(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/21 of a week?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -225 - -228. Let r(j) = -4 - 5 - l*j + 10 + 8*j. Calculate r(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a litre in millilitres?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 2*o**2. Let c(h) = -203*h**3 - 15*h**2 + 31. Let n(s) = c(s) + 5*m(s). What is the third derivative of n(r) wrt r?\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 10 = -4*n. Solve -3*a + 9*a**2 + a - 12*a**n - a = 0 for a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10330210 + 2?\nAnswer: -10330202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/12)\/(2\/6). Is (p - -10)\/(12\/8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 8 - 2)*(4*s**2 + 0*s**2 - s**2)*(-2*s**2 + 2*s**2 - s**2) to the form n*s + p*s**3 + h + u*s**2 + r*s**4 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2)*4\/2. Let u be -2 + (z - 1) + 0. Let l = u - -6. What is the third smallest value in -2, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 3. Let b(w) = 142*w**2 - w - 1. Determine b(k(s)).\nAnswer: 142*s**2 - 853*s + 1280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28342?\nAnswer: 2, 37, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 5:54 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*((-10)\/25)\/(135\/225). Find u, given that x*u - 2\/9*u**2 - 10\/9 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24.3 + 27. Let u = d - 2.746. Round u to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1495*u + 1498*u = 5*o - 20, 5*u + 15 = -35 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -106 - 29) + -60\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, -4, -2\/35, 0, 1, -11\/7 in decreasing order.\nAnswer: 20, 1, 0, -2\/35, -1, -11\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3803 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1068 greater than -1073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of -10 - 4 - -5044 - -10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = j - 6, -l + 4*j = -3*l + 2. Solve -3*t + 14 = l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32 - -14. Let a be 2\/9 - 68\/w. Suppose -32 - 88 = -a*s. What is s rounded to 0 decimal places?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8855 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17059, -34132, -51233, -68374, -85567, -102824?\nAnswer: -120157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268.625us in nanoseconds?\nAnswer: 2268625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*10\/(-2))\/(((-689)\/13)\/(-1696)*-2)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -4118a7?\nAnswer: -411901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*f*y**5 + 2*f*y**3 - 119*f*y + f + 3*y**4 + 2*y wrt y?\nAnswer: -800*f*y**3 + 12*f*y + 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -18. Let g be (-3 - -4) + m - -2. Solve g*r - 6 - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -7761.\nAnswer: -1552.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 24. Let v be (-2)\/y + 46\/(-715). Let j = v + -2\/13. Sort -0.3, 2\/11, j in decreasing order.\nAnswer: 2\/11, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 186 = -2*s, 3*a + 5*s = 7*a - 718. Does 17 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/5*6\/(-294)*-7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 674913133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 3\/2, 1\/7, 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 3*r**2 - 7*r - 3. Let d(n) = -2*n**3 - 8*n**2 + 22*n + 8. Calculate 3*d(p) + 8*w(p).\nAnswer: 2*p**3 + 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34546 (base 7) to base 2.\nAnswer: -10001010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 29*w**2 - w + 3*w**3 - 3 - 2*w**3 - 26*w**2. Let c be t(-3). Is (-3367)\/14*(-2 + c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of 7*t**6\/40 - 2*t**3 - 18*t**2. Differentiate p(l) wrt l.\nAnswer: 63*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*d**3 + 67 - 18*d**3 - 67.\nAnswer: -61*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185823080 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 1156*l - 588*l - 568*l.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106.75 + -32.75. Let z = -1046 + 1120.3. Let d = m - z. Which is the biggest value? (a) d (b) 7 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c = 25*c + 235 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 2155?\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15 + 6)*(1 - 2). Let k(r) = r**2 - 10*r + 12. Let m be k(x). Is m - (-12)\/(-4) - -115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 3*r + 8. Calculate u(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 14*c**2. Let i = 104 + -118. Give m(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-8 + 20)) + (-7 - (10 + -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 174 (b) -5 (c) 0.086\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -434*77\/462*(-3)\/7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6 + 2\/4. Suppose h = 2*o - 3*o + 26. What is the highest common divisor of 39 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -17*h**3 + 2*h**2 - 5*h + 77. Let n(t) = 18*t**3 - 3*t**2 + 6*t - 77. Calculate 6*a(q) + 5*n(q).\nAnswer: -12*q**3 - 3*q**2 + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + 2*z - 2. Let i be a(1). Solve 4*o + 5 = i*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20374 + -14544. Is 98 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0.2 (c) 6 (d) -77\/92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 18 = 3*l + 4*q, 2*q = -3*l - 15. Let y be l + 4 + (-2)\/2. Suppose -2 = 2*a - y*a, 5*a + 3 = o. Sort -3, 3, o.\nAnswer: -3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -7*g - 3. Suppose 4*s = 87*s + 166. Let i(n) = -2*n + 0 - 3*n - 2. Let t(k) = s*c(k) + 3*i(k). Let p(f) = 30*f. Calculate t(p(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from {j: 6, i: 3, y: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*w**5 - 638*w**3 + 703225*w - 1.\nAnswer: -320*w**3 - 3828*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 452 + -451. Suppose 0 = d + 5*h + n, -5*d + h + 3 = -18. Let w = 15 + -9. Solve 4*a + d*i = -20, -2*a - 2*a - w = -3*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -99*h**2 + 2*h - 4. Let u(p) = 92*p**2 - 3*p + 6. Let t(v) = 2*u(v) + 3*w(v). Let m(k) = 23*k. What is t(m(s))?\nAnswer: -59777*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/11? (a) -1 (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d\/(d\/(d*d**(-2\/11))*d)))\/d**(-3\/8))\/(d**(-2)*d\/d**(2\/15))*(d**(-1\/8)\/d*d)\/(d*(d*d**(-5))\/d)*(d**(-2\/3)*d*d)**(-4\/11) assuming d is positive.\nAnswer: d**(4673\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313311 + -13442?\nAnswer: -332303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) 0 (c) -3\/8 (d) 921.1 (e) 15 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246124.\nAnswer: 2, 37, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3438*r**2 + 1761*r**2 + 485*r**6 + 737*r**6 wrt r?\nAnswer: 146640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m. Suppose 20 = t - 5*p, -2*t + p = -0 - 4. Suppose t = -0*k - k + 5. Let j(h) = -3*h. Give k*y(v) - 7*j(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663994208 to the power of 1\/3, to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 169\/7 (b) 1\/11 (c) 3 (d) 0.5 (e) 4 (f) -10.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 0 (b) -1\/12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 - -42. Let p = -20 - v. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-14)*(0 - -7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2, -2\/13, -5, -1.7.\nAnswer: -5, -1.7, -2\/13, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -30 - 0. Suppose 2 = -2*n + 22. Let m = o + n. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 10 = -2*f. Suppose f*c = 6*c - 20. Calculate the smallest common multiple of c and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4338.3 + -4338. What is the fourth biggest value in -5, -40, -1.2, w?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14 + 5\/((-10)\/(-4)). Let v be (3\/(-3))\/(2\/q). Suppose 5*k = -7*u + 5*u - 10, 0 = -5*u - 3*k - v. Solve -9 = -u*o - 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3529858080.\nAnswer: 2, 3, 5, 7, 223, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19585*a*b*c**2 - a*b - 2*a*c*g**2 - 2*b*c + 15392*b*g**2 + 2*c**2*g**2 wrt c.\nAnswer: 39170*a*b + 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39540 + 55774. Suppose 3*g - 2*h + 7*h = -82312, h - 82300 = 3*g. Let u = g + v. What is u rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9434.\nAnswer: 2, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 5\/6*z**3 + 5\/12*z**4 + 0 + 0*z - 3*z**2 + 1\/60*z**5. Let l be s(-10). Solve -3*a = -4*k + 15, 15 = -l*k - 2*a - a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9\/(-6) + 138\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 7. Let u = 16 - p. Let j = u + -4. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/72 - (-554)\/(-12). Let p = -10 - y. Calculate the remainder when p is divided by (1\/3)\/((-2)\/(-78)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w**5\/11 + 102*w**4\/11 - 180*w**3\/11 + 54*w**2\/11 = 0 for w.\nAnswer: 0, 3\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31011 - 12?\nAnswer: -31023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2144)\/(-260))\/1 + (-748)\/(-4862).\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 33*g**2 - 4*g - 132. Let p be r(-33). Sort -2, p, -8 in ascending order.\nAnswer: -8, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*h - 8. Sort 0, h, -3 in descending order.\nAnswer: 0, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*p = -12, -w + 2*p + 3 = 3*p. Let y = 291 + -289. Suppose -3*h = -0*h - 18. Sort y, h, w in ascending order.\nAnswer: y, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x**3 + 20*x**2 - 2*x - 14. What are the prime factors of w(-6)?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**5\/30 - 5*m**4\/6 - 23*m**3\/3 + 23*m**2 - 54*m. Let z(s) be the first derivative of o(s). Differentiate z(q) wrt q.\nAnswer: 4*q - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -19.75. Let z = g + 2. Let y = -0.23 + z. Round y to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(200) + 1 - sqrt(200))**2 + sqrt(200).\nAnswer: 6 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 4:45 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251215?\nAnswer: 5, 7, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 318955964?\nAnswer: 318955964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 819 less than 6551\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-30)*48276\/(-447)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2*w + 115 + 20, d = -3*w + 138. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence am when two letters picked without replacement from {a: 10, m: 9}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -65*r. Let v be y(1). Let h = -45 - v. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 44 = -3*z, z + 41 = 4*k - 61. Suppose -2*r + 685 + k = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 11*l. Let o be t(-8). Suppose o = 5*g - 196. Suppose -4*p + p = -g. Solve 5*f - f = -4*s - p, -4*f - 4 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -58*c - 4988. Let h be b(-82). Sort -5, -4, h, -2.\nAnswer: h, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135949 - -378. Suppose -3*o + 7 = -4*t, 6*t = t - 4*o + 30. Suppose 0 = -d - t*q - z + 446337, -2*q + 620010 = 2*d. Round d to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2534896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*f = 0. Suppose -5*l = 4*j + 1016, f*j + 1270 = -5*j - 5*l. What is the tens digit of j\/(-12) + 5\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215 and 49106.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115819.\nAnswer: 11, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*i*l - 235*a**2*i - 558*a**2*l + 30*a**2 - 2*a*i*l - 2*a*i + 16*a + 2*i*l - 2*i + 37*l + 4 wrt a?\nAnswer: -4*i*l - 470*i - 1116*l + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2612560 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 104.\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -510253, 4, 0, -4, -3 in descending order.\nAnswer: 4, 0, -3, -4, -510253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 16*k**2 - 83*k + 1332. Determine w(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 5\/42*k**4 + 2*k + 0 + 2\/7*k**3 + 1\/7*k**2. Factor p(u).\nAnswer: 2*(u + 1)*(5*u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 5011*h - 50012. Give a(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259957601?\nAnswer: 19, 13681979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 1:09 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 11:33 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 87*z + 142*z - 2)*(5 - 101 - 198 - 68) as r + s*z and give s.\nAnswer: -19910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -20905*g + 7505. Let r(q) = 10452*q - 3777. Let y(b) = -4*k(b) - 9*r(b). What is the derivative of y(d) wrt d?\nAnswer: -10448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/9 - 2\/(-9). Let x be p\/(-6)*4*3. Suppose o - x = 1. Solve 10 = -o*a - g, 5 = 3*a + 4*g - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 45*n**3 + 2*n**2 + 3*n + 2. Let b be v(-1). Let x = b + 90. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 8*q - 7. Let j be a(9). Let m(h) = 3*h - j + 3 + 1 - 1. Determine m(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5*c - 190 = 0, -673*l + 38 = -665*l - c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1428 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 19, -1\/3, 5, -8, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-42)\/(-9) + -3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2050192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 169\/3*16\/56. Let q = 16 - g. Let y = -50 - -50.1. Which is the closest to y? (a) q (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n - 22. Let r(s) = s + 1. Let f(q) = b(q) + 22*r(q). Let v(x) = -2*x - 17. Let p(d) = -10*d - 68. Let h(a) = -p(a) + 4*v(a). Determine h(f(w)).\nAnswer: 66*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06766639 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwcccksqccccsjsq. What is prob of sequence qc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7844, -31323, -70456, -125243, -195684?\nAnswer: -281779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -2*d + 41*l - 2*l + 40, l = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g. Let y be h(0). Suppose y*b + 4*b - 2*o = 12, -5*b + 21 = -o. Suppose -b*p = 6*p - 22. Solve -2*d + 3*i + 1 = 0, -5*d + p*i = -d - 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 38. Suppose d = 7*f + 13 + 36. Let x = f + 11. Solve 2*h = x, 4*r + 3*h = 3*r + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203 + 231 - 654 + 221 + 30*z.\nAnswer: 30*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 4:06 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -4 (b) -2\/7 (c) -10 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97535097 is divided by 2683.\nAnswer: 2681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 171\/5*l**3 + 3\/5*l**4 - 177\/5*l**2 + 174\/5 - 171\/5*l = 0.\nAnswer: -58, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/11, 0.2, -64992.\nAnswer: -64992, 1\/11, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43220 and 1065560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -122\/7 (b) -1\/3 (c) -2\/1221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 619*r**2 + 2*r**3 - 2*r - 517*r**2 + 2*r to g*r + l + w*r**2 + s*r**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121 or -28823?\nAnswer: -28823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -773*a**4 - 21675*a**3 + 3*a**2 + 99116902*a.\nAnswer: -9276*a**2 - 130050*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 4, k: 9, s: 4}. What is prob of picking 1 k and 2 c?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30338937.\nAnswer: 3, 3370993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -2)\/(1\/(-40)*-1). Let r = x - -3. Let d = -113 - r. Solve -n + 5*n + 28 = d*y, 4*y + 17 = -5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44272883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32101 + -22112?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 10, -2, -32, -86, -170, -290, -452?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 643452 - 434152. Round o to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -104*j + 2338. What is b(18)?\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 117499 divided by -2\nAnswer: -117499\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 6, i: 1, s: 2, x: 2}. What is prob of sequence xsg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, 17, 184, 417, 716, 1081?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*p = -158*p + 11305. Let f be 90\/(-25)*530\/(-16). Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(50620\/(-610) + 83)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3665\/1146 - 6\/191. Suppose 0 = -9*g + 16 + 56. Calculate the common denominator of (g - 89\/12)\/((-2)\/(-16)) and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 at most 1.8368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.0356668 to three decimal places.\nAnswer: 8.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35806 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1502 and 12492134.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 - 52. Let y(g) = -g**3 + 25*g**2 + 14*g + 32. Let i be y(b). Suppose -2387 = -13*m + i. What are the prime factors of m?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - (-6 + 2 + 4)) - (-1325 + 1346).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -1, 2, -2, -7 in increasing order.\nAnswer: -24, -7, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -5, -14024, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3, 2*z = 3*z - h + 7. Let v = z + 23. Calculate the greatest common factor of 90 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (266\/(-50))\/(539\/385)\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2624*o - 6772801 - 8502*o + 6772799 as x*o + k and give x.\nAnswer: -11126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117987 < 2117986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/15)\/((-14)\/35). Let j(u) = 8*u + 18. Determine j(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o**3 - 2*o**2 + 3*o. Let j(z) = 2*z**3 - z**2 + z. Suppose -2 = 2*l - 26. Suppose 2*c - l = -14. Let y(m) = c*i(m) + 4*j(m). Factor y(t).\nAnswer: t*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 803.737 micrograms to tonnes.\nAnswer: 0.000000000803737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -389*j - 19243. Give p(-50).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 717 - -912. Let c = t + -22829\/14. Let u = -1101585\/14 - -78684. What is the common denominator of u and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + p**3 - 3*p**3 + 5*p**3 - 2*p**3 - 4*p**3 + (-3 + 3 - 2)*(-p**3 + 0*p**3 - p**3))*(0*p + 5*p - 2*p).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.93 (c) 2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5.2 + -77\nAnswer: -82.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w**3 - 133*w**2 + 36*w + 486. Determine i(-19).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**2. Let j(n) = 10184*n**2. Calculate p(j(s)).\nAnswer: -622283136*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1 + 2 - 6*t + 11*t. Let a be p(-1). What are the prime factors of (-1)\/(2\/a) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 108, 26\/111?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*1*(-76 + 5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.2242816 centimeters?\nAnswer: 2242.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*i - 73 = 0, -i - 140 = -4*n - 5*i. Suppose n = 7*d - 11. Is (-123)\/(d\/(-2))*(-2 + 9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 303*m**5 - 13*m + 9?\nAnswer: 6060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.0704 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21296537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*j - 1 + 3, 0 = -5*j + 4*x + 51. Let n(w) = -w**2 + 10*w - 14. Let q be n(j). Solve -3*s = -r + q, -4*s + 2*r - 5 = 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 - 1077\/21. Let p = v - -83. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**6)\/k*k**(-29))\/(k\/(k**12*k))**(-4\/9) assuming k is positive.\nAnswer: k**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let n(d) be the third derivative of -d**4\/24 - d**3\/6 - 3*d**2. Let p(w) = -w + 2. Let s(v) = 2*n(v) + p(v). Determine s(h(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -13. What is the second derivative of 36 - s*u**3 + 2*u - 16 - 20 wrt u?\nAnswer: -60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 2*a**2 + 6. Determine r(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*h + 4*y - 180, 6*y - 389 + 151 = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 76 = -3*i, 0 = -4*m - m - 2*i - 79. Let b = m - -21. What is the nearest to -1 in b, -2\/19, 5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 15*v**2 + 2*v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 - 176*k**2 - 355*k - 178.\nAnswer: (k - 178)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 95.72 + -23\nAnswer: 72.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, -3, 3, 3863, -8 in decreasing order.\nAnswer: 3863, 5, 3, -3, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 5. Suppose -12 = 6*a - 9*a. Suppose -4*p - 1 = -4*r - 5, 4*r + 4 = -a*p. Calculate h(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 6 + 5)*(2*s - 2*s - s) + 1 - 1 + 2*s)*(0 + 0 - 3).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 169.\nAnswer: 1\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**3\/3 - x**2 - 8*x - 244. What is w(-5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -566 - 53?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 - 4*h - 1. Let p(g) = -5*g**2 + 11*g + 2. Let z(s) = 8*l(s) + 3*p(s). Factor z(r).\nAnswer: (r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 318407 to the nearest 1000.\nAnswer: 318000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*r**3 + 27*r - 53*r - 43*r**3.\nAnswer: -r**3 - 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8791433?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - (-1 + 5 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**4\/4 - p**3\/2 + 3*p**2\/2 - 218*p + 3. Let d = -2 + 4. Give c(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9 = -d - 49, d + 3*m + 30 = 0. Let t be ((-24)\/10)\/(d\/(-50)). Find the common denominator of t\/36*206\/8 and 29\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {n: 1, o: 2, t: 5, q: 6, d: 2, f: 3}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -7. Let l be 81\/21 - h\/(-14). Suppose t + 50 = 2*t + 4*s, l*t = -s + 170. Calculate the remainder when t is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 231?\nAnswer: 22d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x = -47*x + 2. Let j = -1.63 - 1.37. Which is the closest to -0.2? (a) x (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45*g**3 + 2786*g**2 + 18*g + 43854765?\nAnswer: 135*g**2 + 5572*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 + 103. Suppose 4*r - 28 = y. What is the greatest common divisor of r and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238697 and 5912.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38633.\nAnswer: 7, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k*p**2*s + 2*k*p**2 - 260*k*s + 2*k + p*s wrt p?\nAnswer: 2*k*p*s + 4*k*p + s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338213 is divided by 1025?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3672, 3722, 3798, 3912, 4076, 4302?\n\"Answer: 2*d**3 + d**2 + 33*d + 3636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0145151 - 6.\nAnswer: -5.9854849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**1*p))**(36\/11)\/((p\/(p**(-5)\/p))\/p**(5\/3))*(p**(2\/7)\/((p**(3\/8)\/p)\/p))\/(p**(-2\/5)\/p)**(-43) assuming p is positive.\nAnswer: p**(-648353\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 12) + 3 + 0 + -8 + -7\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6608080?\nAnswer: 2, 5, 82601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmmn when four letters picked without replacement from {h: 6, n: 4, o: 2, m: 2, x: 1, r: 2}?\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15459589499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -383\nAnswer: 1\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, 12, 24, 28, 18, -12, -68?\n\"Answer: -j**3 + 5*j**2 + 6*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10015671331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 0)\/(2\/(-40)). Let y(f) = -f**2 - 16*f - 27. Let j be y(-14). Suppose x - 2 = j. Solve -x*a = a + o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2281*h - 11406. Let l be t(5). What is the closest to l in -1\/3, -3, -15\/8, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 2 - 1 - -5) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c**2 + 7*c + 10. Let t(w) = -4*w**2 - 8*w - 11. Let x(z) = -5*i(z) - 4*t(z). Let r be x(5). Suppose -r*g - 12 = -8*g. Solve 8 = g*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1553*r + 1548*r - 449050 = 0. Round r to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -13. Let y(r) = -r**2 + 5 + 4*r + 0*r + 0*r. Let p(t) = 2*t**2 - 7*t - 9. Let i(g) = v*y(g) - 3*p(g). Let i(h) = 0. Calculate h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -6*j**2\/7 + 104*j\/7 - 34\/7 = 0?\nAnswer: 1\/3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -754, -1333, -2906, -5971, -11026, -18569?\nAnswer: -29098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 9 (b) -106 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68572 = 30*p - 34*p. Let v = 24260 + p. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 8325?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100100011100111001 (base 2) to base 6.\nAnswer: 145001053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 421.7 - 961.1. Let q = d + 539. What is the nearest to 1 in q, -0.9, -9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1320.\nAnswer: -1\/1320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1)\/(10 - 8). Suppose a = d - 13 - 11. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62474631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 94745846*m. Let j(y) = -2*y**2. Give j(x(c)).\nAnswer: -17953550668511432*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**3 - 153*d + 153*d)*(2*d**2 + 3*d**2 - 4*d**2 - 2*d**2 + 6*d**2 + 0*d**2 + (-2 + 2 - 2*d**2)*(-4 - 2 + 5)).\nAnswer: 35*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p. Let t(q) = -2515*q. Give t(m(k)).\nAnswer: -17605*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhbh when four letters picked without replacement from bhhhb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - 27*s - 75. What is v(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 166.987 + -167. What is a rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1147569716.\nAnswer: 2, 179, 1602751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*t**3 - 15*t**3 - 53*t**3 + 3*t**4 - 21*t**2 - 14*t**3 - 14*t**3 to the form v*t**4 + k + i*t**2 + d*t + n*t**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 8 = 5*x, -4*x - 7 = 4*g + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-100*(-196)\/(-31850))\/((-1)\/39)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606741696 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -141 - -377. Suppose q*v = 242*v - 2664. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11853 or -11851?\nAnswer: -11851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -152.7 * 0.30009.\nAnswer: -45.823743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-12) + 4)\/((-2)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94778717?\nAnswer: 11, 8616247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 4*l**2 + 143*l - 45. What is the units digit of x(-49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 632034 - 1?\nAnswer: 632033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + 39*w**2 + 125*w - 104. Give v(-15).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -841, -1481, -2119, -2755?\nAnswer: -3389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t - 661509*t**2 - t + 661506*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-13 - -3)) + (-81 + 44 - -27) + -57\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 - 2*t**2 + 4*t - 5. Calculate v(3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 696, -4, 6 in increasing order.\nAnswer: -4, 6, 696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/405*-3)\/(8\/(-84))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -13*t - 10. Let w(a) = 4*a + 3. Let h(d) = 2*l(d) + 7*w(d). Let p(z) = 3*z**2 - z. Let i be p(1). List the prime factors of h(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3371605280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*c - 11988990 = 0. Suppose -3*r - 27294480 = 4*o - o, 0 = 3*o + r + 27294490. Let f = o - c. What is f rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14*(-13)\/13)\/(26\/(-52))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-7 + 4 - (18 - -9)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z - 11 + 10 - 2)*(3*z - 7*z + 0*z).\nAnswer: 16*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) 3 (c) 0.822\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 3*i - 4. Determine q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1242, -2510, -3794, -5100, -6434, -7802, -9210, -10664?\n\"Answer: -t**3 - 2*t**2 - 1255*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 + 284*w\/9 + 94\/3.\nAnswer: 2*(w + 1)*(w + 141)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 0.29.\nAnswer: -1.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -1026, -1678, -2322, -2958, -3586, -4206?\nAnswer: -4818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -519\/10478?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*q**4*w**2 - 2*q**4*w - q**4 + q**2*w**2 - 3*q**2*w wrt q.\nAnswer: 96*q*w**2 - 48*q*w - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -782 - -778.6. Let u = -335.9 + 353. Let b = p - u. Round b to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-3 - -9))*-14. Let b = c + -505\/6. Let f = -6 - -29\/5. What is the third biggest value in -4, f, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-50 - 3)\/(((-25)\/(-4950))\/(2\/(-4))) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 14. Let o = 0.6 + 3.4. Let l be (0 + 1)\/(7 - 3). Which is the closest to s? (a) o (b) 5\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 36*b - 8. Let f be w(0). What is the third biggest value in 3, 1\/3, 4, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y + 7. Let f(h) = 3*h + 6. What is -6*f(q) + 4*w(q)?\nAnswer: -2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2141.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*t + 21*t + 152. Let l = t - -25. Solve 0 = l*n - 7*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 815 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 160 = 7*w. Calculate the remainder when 57 is divided by 2\/(-3)*(w - -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 6\/5 (c) -11 (d) 163 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/(-39)*1257 + (-10)\/(-65) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h + 0*h + 2*h + (4 + 1 - 3)*(-1938 + 1938 - 403*h) as k + d*h and give d.\nAnswer: -808","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5764 (base 10) in base 3?\nAnswer: 21220111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1554 + 1504 - (-69 + 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 12 - -3)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from xxxttxttttxtxxxx.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 280 + 210 = 0. Let p(b) = b**3 - 15*b**2 - 15*b - 17. Let y be p(16). Calculate the smallest common multiple of ((-21)\/14)\/(y\/6) and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 179*q**3 - 7*q**2 - 22. Let y be n(5). Suppose 62*i - 60*i = y. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = r - 11, 0 = 2*v - 5*r - 27 - 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*p + 46, 2*p + 52 = 2*i - 40. Let l be (-12)\/6 - (-100)\/i. Is l < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/53, 2\/21, 0, 281, 1\/5, -0.5 in descending order.\nAnswer: 281, 1\/5, 2\/21, 2\/53, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 19 + 305 + 19607*d - 19654*d + 106. Give q(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735)*2)\/sqrt(3) + -3 + 1)*4.\nAnswer: -8 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2042531.0068 + 2041655. Let g = 876 + k. Round g to 4 decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 15, m: 4}. Give prob of picking 1 m and 3 v.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 6*j**2 + 2*j - 10. Let l be m(-7). Suppose -2*q + 8 = 5*s - 7, -l = 5*q. Solve 0 = -c - 2*r - 1, -5*c = -s*r + 9 + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4020931 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*z - 3*r + 15, z + 1 = r - 4*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/78*(-5)\/((-195)\/(-52))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.355 - -16.355. Let m = y - 12.1. What is m rounded to one decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12348670 and 410970.\nAnswer: 259322070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**3 + 24*u**2 - 33*u + 3. Let x(q) = 6*q**3 - 24*q**2 + 34*q - 2. Let p(o) = 2*w(o) + 3*x(o). Suppose p(c) = 0. Calculate c.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 13*v**2 - 26*v - 40. Let t be s(-11). Solve p + 12 = -5*i, 0 = p - t*p - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 576009 = 2*o + 1231136, -5*q + 3*o = -3011908. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -786103 (base 10) to base 9.\nAnswer: -1427287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -15332.4484125?\nAnswer: -15328.4484125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 7 + (-2)\/2. Suppose n - 7 = -j. Solve -4*l - 2*x + 21 = -n*x, -l - 3*x = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1525666546 to the nearest integer?\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 378 and 53992302.\nAnswer: 485930718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/21449 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**4\/4 + 3*y**3 - 7*y**2 - 7*y - 4. What are the prime factors of b(-10)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/(-4)*-20 - -3. Let x = -99 + w. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2 + 3. Calculate the smallest common multiple of o - (0 + -3)\/1 and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388987112?\nAnswer: 2, 163, 298303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*j + j. Let s(c) = 4*c + j*c**2 + 4*c + 4*c + 3 + c**3. What is the units digit of s(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*r + 36, 4*o - r = 2 - 35. Suppose -2*b - 11 = -0*z + z, b + 4 = z. Let t be o\/4 - z\/4. Which is smaller: t or 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 1:14 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or -4591\/131?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 79 + -55. What is the greatest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217149*-7.\nAnswer: 1520043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1324174, 5296704, 11917592, 21186838?\nAnswer: 33104442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 1af717?\nAnswer: -1af716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((13\/(-3))\/(-13))\/(2\/84). Which is bigger: j or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f\/(f\/(f\/f**23)))*f**(12\/7)*f*f assuming f is positive.\nAnswer: f**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3 - 9353244*d**2 + 5467693656096*d + 5467703009344 = 0.\nAnswer: -1, 1169156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -41*r**3 - 4*r**2 + r + 2. Let c(b) = 42*b**3 + 6*b**2 - 3. Calculate -2*c(p) - 3*n(p).\nAnswer: 39*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240237 is divided by 120116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (146\/2*-5*27\/((-135)\/4))\/2?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.0517685524+-4\nAnswer: -4.0517685524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + 11 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8404 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 22*x - 26*x. Calculate the smallest common multiple of x and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4 = -3*b, 3*b + 22*q - 9 = 25*q. Sort -1, 7, b, 20, 5.\nAnswer: -1, b, 5, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/(7\/70).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -416*d**3 + 3*d - 9. Let m(c) = 2495*c**3 - 17*c + 51. Give -6*m(k) - 34*o(k).\nAnswer: -826*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*j + 23 = -0*r, -6 = -3*j. Let w(d) = d**2 - 3*d - 17 + 18 - r. What is w(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-5\/6))\/(d*d\/(d\/d**(-2\/9))*d)*(d**(-2\/9))**(-18))**11 assuming d is positive.\nAnswer: d**(803\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a3 (base 11) to base 7\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -171 + 178. Let a be 296\/36 - (7\/(-9) + 1). Suppose 3*m - a = 7. Solve -2*c - m = 3*z, 12 = -4*c + 3*z - k*z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940970177?\nAnswer: 7, 67, 286619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37.1 - -19.2. Let p = 18 + x. Let k = 0.1 - p. Sort k, 0.4, 0.5 in increasing order.\nAnswer: k, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2201 and 4160032?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3478080804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2050\/160 - ((9 - -15) + -11)\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d - 3. Solve -g - 3 = -d*s, -5 = 2*s + 2*g - 5*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**5 + 28325*m**4 + 40325750*m**3 + 592193750*m**2 - 8960546875*m + 24939453125 = 0.\nAnswer: -2825, -25, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 56, 0.1 in decreasing order.\nAnswer: 56, 2\/11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2066044, -4132095, -6198146, -8264197, -10330248?\n\"Answer: -2066051*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*k = -k + 23190, -2*d + 23204 = -3*k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 s when four letters picked without replacement from {s: 5, c: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2737.6 - 2738. What is the nearest to -0.1 in -105, t, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.7261736 + 65.\nAnswer: 79.7261736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -11*w**8\/336 + 7*w**4\/24 + 5*w**2 - 29. Let r(g) be the second derivative of u(g). Find the second derivative of r(q) wrt q.\nAnswer: -220*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 383 = 4*i + i, 4*b - 524 = 4*i. Let w = 2 - -7. Suppose -4*a = 0, -a + 136 = -5*z + w*z. Calculate the greatest common factor of b and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a183 + 25?\nAnswer: -a15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(14)\/sqrt(2))*-2)\/(-5*(sqrt(6)\/(sqrt(3)*2) + sqrt(2))).\nAnswer: 4*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1017.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 2818*a**5\/5 - 2*a**2 - 476*a - 1235. What is the second derivative of i(s) wrt s?\nAnswer: 33816*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-30))\/(3 + 407\/(-165)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25 and 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from appkpupupuuu. Give prob of sequence uua.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + (-6)\/(-4). Let m be (-46)\/(-69) - ((-8648)\/6)\/4. Let i = 361 - m. Solve 3*y - 12 = s*d + y, -d + 5*y - 10 = i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 25\/21453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*m + 2*g, 2 = 3*g - g. Solve -m + 3 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 443420 - -2?\nAnswer: 443422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-596)\/420 - 40\/(-30))*-5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1790*b*f**4 + 122*b*f**3*z + 2*b*f**3 + b*f**2 + 122*b*f + 568*f*z wrt f?\nAnswer: -42960*b*f + 732*b*z + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*t**2*w + 2*b**2*t*w - 13*b**2*t + 23615*b**2*w - 273780*b*t**2*w - 14*b*t**2 + 2*b*w + t*w wrt t?\nAnswer: 6*b**2*w - 547560*b*w - 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 26.26714 and 0.4?\nAnswer: 10.506856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*-2 - (-11 - -9). Suppose -5*i + k = -i + 4, -5*i + 2 = -3*k. Let c be (-1)\/(-2)*(-3 + a)*i. Solve c*g = 2*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 0.44941?\nAnswer: -2.69646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -69758, -69749, -69726, -69683, -69614, -69513, -69374?\n\"Answer: y**3 + y**2 - y - 69759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3475 + -3479. Which is the fifth biggest value? (a) y (b) 5\/2 (c) -3 (d) 0.2 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -60*l**4 + 115*l**3 + 205*l**2 - 440*l + 180 = 0.\nAnswer: -2, 2\/3, 1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -238, -4, 2, 6, -5, -23.\nAnswer: -238, -23, -5, -4, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1141\/1580 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 508, 1024, 1540, 2056, 2572?\nAnswer: 3088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6340696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2)*(4\/(-12))\/(10\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 - 36*f**2 + 9*f + 285. What is the thousands digit of k(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1590924 or -0.3?\nAnswer: -1590924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40321346 (base 7) to base 6.\nAnswer: 155444515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -628, 2\/5, -2\/7, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*h + 16, -5*h + 5*v - v + 11 = 0. Suppose -5*m = 2*g + h - 13, -5*g = 0. Solve -s = 4*b + 3, 4*b + 3*s - m = 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -8*x. Let w be 87*((-23)\/46 + (-10)\/(-12)). Let c(r) = -69*r + w*r + 25*r. Determine y(c(l)).\nAnswer: 120*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*g = -8, 5*v - v + g - 2 = 0. Which is the closest to v? (a) -4 (b) 5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 0.0482, -1, 4\/3, -1\/2?\nAnswer: 0.0482","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 11171*d - 11171*d + 0*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/9 + 7*17\/(-612)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -9. Let z(n) = -111*n**2 + 237*n**2 - 120*n**2 + 5 + 3*n. Let o(b) = -7*b**2 - 3 - 1 - 4*b - 2. Give x*z(v) + 5*o(v).\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o**2 - 137*o + 611 wrt o?\nAnswer: -4*o - 137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(132) - (sqrt(132) - sqrt(132)*1*3))\/((-1*sqrt(1728) + sqrt(1728) + sqrt(1728) - sqrt(1728)) + sqrt(12)))**2.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/99)\/1)\/(70*(-23)\/483)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2 + 4*n - 4 + 1 + 2 - n**2. Let h be w(4). Let i(a) = -12*a + 5. What is the tens digit of i(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 2*h + 4601*h**2 + 6194*h**2.\nAnswer: 10795*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23460097, -23460096, -23460095, -23460094?\nAnswer: -23460093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3076284 to the power of 1\/2, to the nearest integer?\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-16))\/(2*(-10)\/8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4905*s + 9741*s - 4958*s.\nAnswer: -122*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 4. Let n be f(3). Let w(a) = -3*a**n + 2*a**2 + 5*a**2. Let o(x) = -1056*x + 527*x + 527*x. Determine w(o(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*b - 0. Let w be b\/2 + 1 + -4. Let x = 4 - w. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 1112\/(-292))\/(-2). Let k = o - -4425\/292. What is the common denominator of k and 43\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -609 + 59 = -5*i. Suppose -2*p - p + 3*a = -72, -5*p = 5*a - i. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*t + 4 = 2, -5*t = 3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -82\/9, -543, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a + 19 + 11*a - 19.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 2*u**2 - 4*u**2 + 5*u**2. Let w(o) = 8*o**2 - 48*o. Let i = -102 + 54. Let h(z) = -z. Let x(f) = i*h(f) + w(f). What is x(j(b))?\nAnswer: 32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 3062203 and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 731163 and 1447761.\nAnswer: 2913","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.279991 - -0.28. Round l to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 41*k - 38. What is o(18)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8438, 8436, 8434, 8432, 8430, 8428?\nAnswer: 8426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(190)\/(sqrt(90)*-1)*3.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*g - 82115 - 22645 = 0. Calculate the remainder when g is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 5*c - c)*(-150*c - 326*c - 39*c) - 3*c + 2*c - c + 2*c**2.\nAnswer: 1032*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5175*m**2 + 5202*m**2 + 20*m - 4*m + (-m - 5*m + 4*m)*(m + 1 - 1) to the form b*m**2 + i*m + l and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11736 and 1?\nAnswer: 11736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1252 divided by 2.\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*p + 4*l - 3*l, 4*p + 5*l - 20 = 0. Suppose 3*u - 6 = 3. Suppose 1 = h - u. Put h, p, 5 in ascending order.\nAnswer: p, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 924, 2083, 3706, 5793?\nAnswer: 8344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdvqvvddqd. Give prob of picking 1 q and 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*y**4 + 939.\nAnswer: -140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-96))\/((-1)\/(18\/(-2))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + r - 12. Calculate the smallest common multiple of b(-6) and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 35*o**3 + 2*o**2 - 2*o - 1. Is j(1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 36779 and 36779 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 8*z**2 - 4*z - 27. Let o be p(-8). Let u = -17\/6 + 13\/3. Which is the closest to o? (a) -4 (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 3870 (c) 14280\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 250*g + 2396. Calculate q(10).\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (1 - -1) - (0 - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*x**5\/4 - 51*x**4\/4 - 27*x**3\/4 + 183*x**2\/4 - 39*x + 9 = 0. What is x?\nAnswer: -2, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + (sqrt(80) - (sqrt(80) + -2 + -2)))*-5 + 0)*-3 + 4)**2.\nAnswer: 4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of y**7\/280 + y**6\/120 - y**3 - 3. Let b(r) be the third derivative of o(r). Find the third derivative of b(w) wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 25. Let c = -0.1 - 0.9. Let j = c - -0.9. What is the third smallest value in j, l, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318669, 318595, 318427, 318117, 317617, 316879?\nAnswer: 315855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*y + 27 - 1, -4*r - 70 = -3*y. Let d be (-6)\/r + 495\/24. Suppose -5*c + 2*c + d = 0. Calculate the greatest common divisor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 0.6, 3, 198?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 2 + (-755)\/(-1). Suppose 2*g = -0*g + t. Suppose 3*z = -z + g. Calculate the greatest common divisor of z and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p - 4*p - 8*p = 2*m, 19*m - 2*p - 75 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q = -56*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 993 and 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**3 - 30*v**2 - 786*v - 7069. Give h(-9).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61\/154 or 67.4?\nAnswer: 61\/154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-85))\/((-2)\/10*2)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49*c**3*l*z + 298*c**3*l + 8*c**2*l*z - 2*c**2*l + 3*l*z + 2 wrt z?\nAnswer: 49*c**3*l + 8*c**2*l + 3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = a - 2*d, -2*a - 3*d = -0*d - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = i - 3*w + 10, -3*i - 3*w = -6. Let j = i + -2. Suppose 4*m = j*m + 35. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**5\/2 - 12552*d**4 + 33483276*d**3 - 23849982528*d**2 - 12390823867656*d = 0.\nAnswer: -338, 0, 2902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -263*i = 274*i - 119*i + 222*i + 48640 for i.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -13*x**5\/60 - x**4\/6 - 133*x**2 + x. Let t(c) = 5161 - 5161 - 2*c. Determine t(w(n)).\nAnswer: 26*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -3*b**4\/4 - 129*b**3 - 16641*b**2\/2 - 238521*b - 248. Determine z, given that q(z) = 0.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**4 - 69180*o**3*q**3 - 4*q**3 + 3*q**2 + 2961 wrt o?\nAnswer: 4*o**3 - 207540*o**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*p - 386*p - 744*p.\nAnswer: -821*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 b, and 1 s when three letters picked without replacement from bbsvsvvubvs.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -6) + -18 + 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*y + 3 + 5 = 0, 2*y = 8. Suppose g = 2*c + 2*w + 10 - 50, -w = -c + 28. Calculate the highest common factor of 192 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.044 - 0.083. Let o = 4131 - 4135. What is the second smallest value in y, 0, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1476 + -1480. Put -5, -9, -6, 0, n in increasing order.\nAnswer: -9, -6, -5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.940601 micrometers in meters?\nAnswer: 0.000000940601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from ezqezvjqf.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 24 + 6 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 3*k - c - 77 = 0, -5*k - c + 139 = 0. What is the remainder when 5 + 32 + 20 - (7 - (2 + 0)) is divided by k?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 519717 to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/8662 and -15\/7982033.\nAnswer: 15964066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83223 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)*2)\/(-3*(sqrt(5) + sqrt(20)\/sqrt(4)))*-3 + -2.\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 9) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 303\/143 + 69\/26. What is the common denominator of s and -55\/1024?\nAnswer: 11264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:33 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2544 and 636?\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + a**3 - 4*a**3 + 0*a**3 + a**3 + 5. Let h = -13 + 12. Let f(i) = 63 - 189 + 66 + 61. Determine h*d(s) + 4*f(s).\nAnswer: 2*s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 7)*(5*p**2 - 6 - p**2 - 5*p**2)*(2 + 1 - 6).\nAnswer: 27*p**2 + 162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 67 + 3 + (17 + -7 + -10 - (9 + 1))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -110*d**5 + 125*d**4 + 95*d**3 - 125*d**2 + 15*d = 0. Calculate d.\nAnswer: -1, 0, 3\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2616?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 3*z**2 - 5*z + 3. Let u be x(4). Let f be 0\/2 - (u - 1). Let s = 4 - f. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4785*-0.308.\nAnswer: -1473.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + -1*5*(sqrt(500) - -1*sqrt(500))*-2)**2.\nAnswer: -400*sqrt(5) + 200001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 507 * 1\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*f = 4173, -817*t - f + 6972 = -812*t. What is the greatest common factor of 105 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2147, -1837, -1527?\nAnswer: -1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 37*h + 1. Let c(g) = 418*g + 150. Calculate m(c(b)).\nAnswer: 15466*b + 5551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*n - 0*n. Let o be (1 + -1)\/n + 1. Let b be (156\/273)\/((-4)\/(-14)). Solve -5 - o = -b*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:21 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125350 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 + -9. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-11)\/22)\/(2*(-1)\/12). Suppose 3*j = -q*n + 3276, 3*j = 5*n - 2*n + 3288. List the prime factors of j.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 24 = 5*j - 2, 0 = 3*j + 3*m + 6. Let g(r) = -514*r + 2058. Let p be g(4). Calculate the greatest common factor of p and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3bc + 333?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*m + 30. Suppose 0*x + 2*o + 540 = 5*x, -5*o = m*x - 540. Suppose 8*h = -44 - x. Is -19 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17468483 to the nearest integer?\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12667\/30 + -417. Let a = -6853\/2 - -17173\/5. Find the common denominator of p and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**3 - 19*q**2 - 13*q. Let i(o) = 2*o**3 - 6*o**2 - 4*o. Let c(d) = -13*i(d) + 4*m(d). Solve c(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3561 * -10.96\nAnswer: -39028.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctt when three letters picked without replacement from {t: 4, y: 1, c: 3, n: 3}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-48) + (-50)\/(-120)*(-3)\/((-90)\/1956).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*b**2*g**5 + 2*b**2 + 207*b - 11*g**5 + 2*g**2 wrt g.\nAnswer: 2340*b**2*g**2 - 660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105 + 16?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000 (base 4) to base 10.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r - 202 = 86 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 39800*o + 2109404. What is h(-53)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -3750, 0, -2, 5.\nAnswer: -3750, -2, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-164)\/(-24) + (-2)\/(-12). Suppose d + 4 = 0, -q + v*d - 3*d = -18. Solve -q*l = -5*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -0.6, 0.1, 3\/2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 553 = -71. Solve 4 + r = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -3. Let b(i) = -i - 1. Let m(o) = -6*o - 2. Let x(y) = p*b(y) + m(y). Is x(-4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 26*h**2 - 25*h + 18. Let i be l(-25). Suppose 0 = -32*n + 38*n - i. Solve 5*s + 8 = n*u, 6*u = 5*s + u + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1432*b + 66995 = -8079 - 3485 - 8793 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/13 - 1317480*n**2\/13 - 16680914658*n + 2972414679572 = 0.\nAnswer: -329459, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 621.2 - 621. Which is the second smallest value? (a) v (b) 137 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374214236?\nAnswer: 2, 3, 114517853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -7*r**6\/15 - 9*r**5\/10 - 526*r**4\/3 - 383*r. What is the third derivative of i(z) wrt z?\nAnswer: -336*z - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20.2, -0.14, 13.21, 2?\nAnswer: 13.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 1378 = -1363. Suppose 4*o - z*k = 3 + 15, 5*k + 10 = 0. Solve c - 7 = -5*y - 34, 14 = -2*y - o*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*c + 84, 59*c - 62*c + 126 = 3*k. What is the remainder when 167 is divided by c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1300?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 363.7676ug?\nAnswer: 0.0003637676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v - 4590 = 8*v. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = i - 3*i. Let j be (2 + 1\/(-3))*12. Suppose j*s = 19*s + 3. Solve 0 = -i*l + 7 - s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*k + 3*k. Suppose -k*x - 5*v + 1075 = 0, -x + 0*v + 211 = 2*v. Let i = x + -91. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*i - 78*i = 9*r + 111, -i = -r - 29 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1398 and -1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 977 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (774\/2580)\/((-36)\/(-80))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2 = -8. Suppose -u + 5*u - 2*n = 110, 0 = j*u - 3*n - 65. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 28*t - 19. Calculate a(-27).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*o - 3 + 42*o + 3 - 3*o**2 + 44*o.\nAnswer: -3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4884, 9073, 13248, 17403, 21532, 25629?\n\"Answer: -a**3 - a**2 + 4199*a + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*((-4 + sqrt(57)\/sqrt(3) + 5 + (sqrt(171) - sqrt(19)))**2 + ((sqrt(684) + 3)*-5)**2).\nAnswer: 4530*sqrt(19) + 87486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-2680)*(11\/99)\/((-1)\/(-3))?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/6*(-3)\/(-6). Suppose -3*q + 201 = 6*u - 3*u, 120 = g*u - 5*q. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5696 + -5694. Let i = -7 - -4. Which is the closest to t? (a) 0.11 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 28a5?\nAnswer: -28a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.46217 - 0.06217. Sort x, -2, -71, 5 in increasing order.\nAnswer: -71, -2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-5)\/(-100)*10\/(-5))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 0.2, 5, 2\/7545, -4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9\/67 - 834\/1273. Does 0 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * 5.22.\nAnswer: 219.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vbwq when four letters picked without replacement from vbwqwvwvwb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-48))\/(265\/(-22896)*-54)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226\/(-168) - (-1)\/((-357)\/(-34)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -48 - 75. Let t = l - -65. Is 15 a factor of ((-80)\/t)\/((-2)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 - 202. Factor m + 25\/4*g**3 + 30*g**2 + 21*g.\nAnswer: (g + 4)*(5*g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*q = 32*q + 28*q - 1050. Let t(y) = -36 - y + 12*y - 2*y. Let a be t(q). Solve -2*l + a = 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018 plus 102.4777?\nAnswer: 102.4957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3 + 3 - 2*r. Let i(k) = k + 1. Let y(f) = -3*f**2 - 18*f - 18. Let m(w) = 18*i(w) + y(w). Determine d(m(b)).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1012, 907, 812, 733, 676, 647, 652?\n\"Answer: q**3 - q**2 - 109*q + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**6\/120 + w**5\/15 - w**4\/12 + 3*w**3\/2 - 34*w**2 - 46*w + 3. Give o(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*l - 2*l + 30 = 0, 5*l - 15 = 2*k. Suppose -2*a = -5*a + 144. Suppose -9 = -4*v + 2*s + 25, -3*s = 5*v - a. Solve k*z - 24 + v = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2812066999?\nAnswer: 7, 61, 1609, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a + 12. Let n be b(-5). Suppose -2*h = -3*h + n. Let x = h + 3. Sort 1, x, 4 in decreasing order.\nAnswer: x, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 22) + (8 + 0 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -34*c + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -873347.\nAnswer: 4366735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 212 + 131423?\nAnswer: 131635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 19192.9 (b) 0.14 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*g - 50 + 153*g - 144*g.\nAnswer: 33*g - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1971*o**3 - 2020*o**3 + 3990*o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5)\/(x**6\/x))\/(x\/(x\/(x*x**(-2))))**(-2\/9))\/(x*x**(-5\/6)*x**(1\/6))**17 assuming x is positive.\nAnswer: x**(-481\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 13*l + 18. Let s(a) = -a - 2. Give n(k) + 6*s(k).\nAnswer: 7*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3*d + 15, 2*d - 7*d = -2*i + 2. Let g be (6\/i)\/((-2)\/12). Let q(v) = 4*v - 5. Let t be q(g). Solve 0 = 4*l - 5 - t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (15449 - -11)*2\/4 + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12*g - 14. Is h(6) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67.1 + 67.1000635. Round q to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**11*n**(1\/39) assuming n is positive.\nAnswer: n**(469\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1003804825?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 316660 divided by -5?\nAnswer: -63332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*(2 + sqrt(72) + 0 + -1) + -3)**2*6*4.\nAnswer: -576*sqrt(2) + 6936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 373 - 117)*(-3*s + 0*s + 5*s) + (0 - 1 + 0)*(2 - 2 + s).\nAnswer: -967*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - ((-531)\/(-15) + 162\/(-405)))*(-60)\/35\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12464 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7537716 and 90?\nAnswer: 37688580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 2:48 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 11*x + 2. Let u be y(-10). What is the greatest common divisor of 132 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20000112 (base 3) to base 10.\nAnswer: 4388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-968)\/(-264) - (-1)\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 - 3 = 0. Suppose 5*k + 2*r + 1 = 4*r, 5*r - 15 = 0. Let g be -5*(2\/(-2))\/k. Solve g*t - x + 18 = 0, 4*x + 4 = w*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q + 35. Let b(r) = 14*r - 37. Let p(h) = -2*b(h) - 3*g(h). Differentiate p(a) with respect to a.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/(s**5*s))\/s**(-2\/15)*s**(-5)\/(s*s**7) assuming s is positive.\nAnswer: s**(-238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3, -5*l - d + 0*d = -14. Factor -48 + 15*m - 235*m + m**2 - 19*m**2 + 4*m**2 + 18*m**l.\nAnswer: 2*(m - 4)*(m + 3)*(9*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 392787249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 81. Let d be (-2)\/(-4 + 2) - 0. Which is the nearest to l? (a) d (b) -0.2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - (76 - 64) - -25?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*12\/84*7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**4)*w**(-4)\/w)\/(w\/w**2*(w**(-2\/3)*w)\/w*w))\/(((w**(-2\/3)\/w)\/w)**(4\/11)\/(w\/w**(2\/7))**(4\/7)) assuming w is positive.\nAnswer: w**(563\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 7*r**2 - 4*r + 7. Let x be s(6). Suppose 4*f + 12 = -0. Let b be 2 + f + (-5)\/(-3)*3. Solve 0 = -2*p - b*k - 14, -3*p + 2*k + x = -0*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((3 - 6 - -3) + 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13123 and 105919.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167945 is divided by 65.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03524374 to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 193, 194, 195, 196?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269737 - 5*g + 16*g**2 + 2*g + 269698 to b + p*g**2 + i*g and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -4 + 0*z - 1\/6*z**3 + 26*z**2 - 61\/24*z**4. Let m(t) = -2*t**2. Calculate m(r(f)).\nAnswer: -7442*f**2 - 244*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 9*s - 4*s - 9 + 0*s. Let o be v(2). Let c(r) = -4*r + 7. Give c(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -14*a - 26. Let v be x(-3). Suppose 8*i - v = -0*i. Solve 0*d + d + i = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164353 divided by 7.\nAnswer: -23479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14d7f (base 16) in base 13?\nAnswer: -2cb24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*z + 642, -f - 7*z + 4*z = -612. Suppose 2*b + 0*o - 3*o = 603, -f = -2*b - 5*o. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 + 3*t**4 - 4*t**3 + (0*t**3 - 3*t**3 + t**3)*(t + t + 0*t) - 3*t**4 + 3*t**4 - 3*t**4.\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z - 4. Let d(p) = 0*p + 0 - 1 - p**3 + p + 2*p**3 - p**z. Let y(q) = -5*q**3 + 6*q**2 - 6*q + 8. Determine -6*d(v) - y(v).\nAnswer: -v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17572*w - 80 = -17588*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15*-0.03296703\nAnswer: -0.49450545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.066 + -2.066. What is the closest to -7 in 5, 5\/6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 12800*f**5\/7 + 4185280*f**4\/7 + 10296366*f**3 + 302746574*f**2\/7 - 7602482*f\/7 + 6798 = 0.\nAnswer: -309, -11, -7, 1\/80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/172 and -43\/4.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -473405 at most as big as -473404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 + 7*w**2 - 2*w**2)*(-3 + 4 + 0) + (w + w**2 - w)*(4 - 3 - 3) to b + g*w + q*w**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1, 3, 0.01456 in decreasing order.\nAnswer: 3, 1\/2, 0.01456, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 183.6 (c) 0.301 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 36\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3465 and 34980.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17726, -1358, 25928, 64138, 113278, 173354?\n\"Answer: h**3 + 5453*h**2 + 2*h - 23182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbbb when four letters picked without replacement from {b: 6, j: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0, -652?\nAnswer: -652","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -32.6 (b) 0 (c) 0.9 (d) 95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/20 or -1?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1705*c - 454*c - 197090 = -621 for c.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) 28\/5 (c) -5.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c*l**3 - 9*c*l + 2468*l**3 + 7*l**2 + 2*l - 9 wrt l.\nAnswer: -24*c + 14808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + v = 149, -4*l + 0*l - 184 = -5*v. Let b = -48 - l. Solve 0 = n - b*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24154412 - 3?\nAnswer: -24154415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - -160. Suppose 19*p - 17*p = 3*k + 61, p - 4*k - 38 = 0. What is the highest common divisor of p and s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 11. Let m be u(4). Solve -19 = -4*z - 2*h - m, 2*h = 2*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 - 3 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/9 + 10\/6. Let h = 50 + -48. Factor 4\/3 + w*l - 10\/3*l**h.\nAnswer: -2*(l - 1)*(5*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9278464, 18556949, 27835434, 37113919?\n\"Answer: 9278485*r - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 = 350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*(-4)\/(-42)*6)\/((-215)\/86)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17917 divided by -246.\nAnswer: 437\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10348 + 10347.92422. Is l bigger than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2952, 3370, 3792, 4218, 4648?\nAnswer: 5082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3013, 0.12, -5\/4, -2\/9, -2?\nAnswer: -3013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*d - 3*d - 11*d**5 - 4*d + 3*d wrt d.\nAnswer: -220*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 - 1082*n**2 + 1356*n**2 + 2*n + 1581*n**2 - 2*n**4 in the form d*n + b*n**3 + l*n**2 + v + x*n**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 10*b**2 - 15*b - 31. Give c(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40081 - -23828. Let z = w + 16469.412. Let q = z - 216. Round q to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83828669 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -81*o**5\/20 - o**3\/3 + 197*o**2\/2 - 9*o + 2. Differentiate t(d) wrt d.\nAnswer: -243*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(70)*-2*3)\/(sqrt(10) + (2*sqrt(100))\/sqrt(10)) + 4 + 1.\nAnswer: -2*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -13. Let p = 9\/2 + g. Let y = 83 + -80. What is the third biggest value in y, p, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1592 = 2*x + 3*a + 1585, 4*x = a + 35. What is the highest common divisor of 4504 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5.951262 hours?\nAnswer: 21424543200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.38 in -1.7, 10, 2, -57?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3865 divided by -5.\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1072 + 1.068. Round j to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 112469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 583811 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 - 28*d - 3*d**2 - 7 + 21*d. Calculate b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-4)*(-3)\/9*5.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5274139 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2053734 millilitres in litres?\nAnswer: 0.0002053734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 153212 and 8?\nAnswer: 306424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - o**2 - o**2 + 0*o**2 to the form i + p*o + y*o**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-12)\/(-20) - 6\/15). Suppose -t*w + 177 + 8 = 5*h, 0 = -3*h + 5*w + 95. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3061933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = m + 6. Suppose 8 = m*y + 2. What is the first derivative of 14 + y*t**3 + 6*t**3 - 2*t**3 wrt t?\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 225 - 224. Let i = -5 + 5.01. Which is the closest to 0.1? (a) y (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -6, -1, 3\/14, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(5 - 2 - 4)*(5 + 27 - 97)*(0*u - 4*u + 6*u) as s + f*u and give f.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-8)*40\/(-125)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89322229 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5203 or -1\/3?\nAnswer: 5203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 258632 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) -2\/5 (c) -3.7 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6113\/7 + 871. Let o = 2586 - 2587. Are o and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000202272 rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/(sqrt(8)*2)*-4)\/(6*(-1*sqrt(64) + sqrt(4))) + -2.\nAnswer: -2 + sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*g + 3*x - 35, -g - 17 = -5*x. Solve g = -2*w - 4*s + 10, 5*w + s = -22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646 at least 1645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - z = 4*z - 28, -4*u + 2*z - 24 = 0. Let h = -720 + 722. Sort -1, u, h.\nAnswer: u, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*c + 190. Suppose 2*f - 34 = 16. Let z = c - f. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4 + d + 2 - 3*d + 3*d. Determine h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 282 = -47*x. Calculate the greatest common factor of x and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6633 is divided by 73.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 divided by -64.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/116)\/(2\/36).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/871 and -4\/11.\nAnswer: 9581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2098.9 - 2459. Let s = l - -459. Let t = s - 81. Round t to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-43)\/(12\/(-4) + 2). Suppose -f - b + 56 = 0. Suppose 11*v = f*v + 104. What is v rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(176) + 4).\nAnswer: -16*sqrt(11) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/7, 1\/5, 1\/2 in ascending order.\nAnswer: 0.1, 1\/5, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 6*c + 5. Calculate u(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(6) + sqrt(150)*2 - sqrt(216)*1)\/(-6*-5*sqrt(27)).\nAnswer: sqrt(2)\/18 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-661 + 9)*(2 + -1)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3333 + -4703. Let n = j - -1369.999343. Round n to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/647430 and 151\/2774700.\nAnswer: 19422900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004447 rounded to 5 dps?\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k + 3*k**2 + 0 + 0 + 20*k.\nAnswer: 3*k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 5 = 4*k. Let l be (-2 + 4)\/((-2)\/k). Solve -3*c - 4*j = 4, 0 = l*c - 9*c - 2*j - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24 - 35 - 3424*x + 839*x + 59 in the form a + w*x and give w.\nAnswer: -2585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 16. Suppose -5*c = 2*i - 4*i - 5, c - 9 = z*i. Let g be c*3 + 9 + -6. Solve g + 6 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (87\/58)\/(123\/6)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 3*m - 6. Let u be (-30)\/(-8) + 1\/4. Let z be p(u). Suppose -3*s = -8*s + 330. Calculate the highest common divisor of s and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Let n be 7\/t + (-2)\/(-4). Is ((-5)\/n)\/(3\/(-132)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 3*n + 19. Let x(h) = 3*h**2 - 4*h - 28. Let y(o) = 7*f(o) + 5*x(o). List the prime factors of y(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 2280?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -1\/24*j**4 + 8\/3*j**3 - j**2 - 7*j + 1\/3*j**5 + 0. Is q(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30159736 - 134059736. What is t rounded to the nearest one million?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96.6 + -6.6. Let t = x + -85. What is the nearest to t in 1\/4, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 4*x = 2*d + 152, -4*x = -d + 13. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9756673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 5)*(7 - 20*j - 18*j + 40*j + j**2) + 0*j + 0*j + j**2 to the form f*j**2 + d + l*j and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(1 + sqrt(14)\/(sqrt(49)\/sqrt(7)) + 0).\nAnswer: 3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -138 divided by 6\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96.81 - 88.363. Let o = h - 8.4. Let m = -0.0469838 + o. What is m rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3 - 3428*k**2 - 3480*k - 47935. What is h(-856)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = -4. Let c be 1 + 68\/(-12) + s. Suppose 2*o = o - 5*b - 10, 55 = 3*o - 2*b. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*o + 68, 5*o - 52 - 298 = 5*r. Let j = 101 + r. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -2, 3114, 78?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - 7. Let k(u) = 2*u + 8. Let l(a) = -2*k(a) - 3*v(a). Let w be l(2). What is the second derivative of w*s**3 - 3*s + 7*s**3 + s + 0*s wrt s?\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 19*x**4\/24 - x**3\/6 + 27*x**2 + 2*x. What is the tens digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/133559 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q - 10. Let s(o) = 1. Let h(y) = 10*s(y) + x(y). Let j(w) = -w**2. Calculate j(h(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12451 by -12.\nAnswer: -12451\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 283109?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 651 - 645. Is 0.05 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*j = -0*c - 4, 4*c - j - 2 = 0. Suppose 6*p - p - 5 = c. Solve f - 2*f = -p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 + -5 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 9 - 15, -2 = 5*g - m. Let q be (14\/28)\/(g\/2). Let i be -2 + (-282)\/(-284) + 1. Are i and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -14e?\nAnswer: -14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 5*d + 3. Calculate t(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(304)*-2 + sqrt(304)) + sqrt(304))*-2)**2*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -51 - 29. Let z = -5 - h. Let i(w) = -w**3 + 6*w**2 + 37*w - 1. Let m be i(-4). Calculate the highest common factor of m and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 5:05 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 - 40*j + 130. Calculate s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15998 + 16014.167. Let x = 15.18555 - r. Let w = x + 0.98. Round w to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2, -404, 2375 in increasing order.\nAnswer: -404, -5, -2, 4, 2375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yasassssayyds. Give prob of picking 2 y and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b - 32 + 30 - 2*b**3 + b**4 - b to g*b**3 + p*b + h + l*b**4 + q*b**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -2. Let i(k) = 5*k + 25. Let q be i(-4). Put n, 1, q in decreasing order.\nAnswer: q, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 751 + 333 = 4*v. Let a = v - -244. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341 and 1643.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b + 6. Give o(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012577 rounded to 4 dps?\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 r when three letters picked without replacement from {r: 2, i: 7, l: 3, m: 4, t: 3}.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1513, -122 in ascending order.\nAnswer: -122, 1, 1513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 1. Let h = -22 + 28. Let g(f) = -5*f - 27. Let v(c) = c + 7. Let j(y) = 2*g(y) + 9*v(y). What is h*m(t) - j(t)?\nAnswer: t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.90056mm to micrometers.\nAnswer: 15900.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 294249103 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzejzzizkjzzzkeezki. What is prob of sequence ieik?\nAnswer: 1\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-110)\/8 - ((-1 - -18) + (-161 - -130)). Factor 1\/4*k**4 - 1\/4*k**5 + 1\/2*k**3 - 1\/2*k**2 + c - 1\/4*k.\nAnswer: -(k - 1)**3*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 8, t + 11 = -2*s + t + 2*t - 13 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 99 + 0 = 0. Calculate the remainder when 95 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2713 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**0\/f)\/f)\/f**(4\/3)*(f*f**5)\/f**1*(f*f\/(f**(-10)*f)*(f*(f*f\/((f\/f**(-4))\/f))\/f)\/f)**38 assuming f is positive.\nAnswer: f**(920\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4314914 is divided by 1046?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.03 - 0.03. Let h = g - 22. Let a = -20.00000038 + h. Round a to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -378 - -1321. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/2640*24)\/(4\/176)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 37*s - 251. Let r be l(7). Solve -10*n - r*n = 72 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 11*a**2 - 11*a + 16. Let x = -64 + 76. Let c be q(x). Suppose -25*k = -c*k + 1353. What is the greatest common factor of k and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*g - 162*g - 9200 - 7464 = 33730 for g.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6117 divide 620416725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013154 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 44 = -j, 4*x + 5*j - 46 = -5. Suppose -2*b + x = -5*b. Let d be b*-1*(-1 - -2). Solve d*m = 7*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 - 3*x. Let n be 12\/(-8)*4\/2. Suppose 6 = 3*f + 5*c, -4*c - 10 + 2 = -4*f. Let i(z) = 2*z + 1 + 2 - 5 + 2 + 3*z**f. Determine n*i(w) - 2*s(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w - 2*w - 4*w + (0 + 2 - 1)*(4*w + w - 4*w) + (0 + 1 - 3)*(3*w - 2*w + 0*w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39 or -253110\/6739?\nAnswer: -253110\/6739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.97 + 10.47. Put -3, y, -0.1, 2\/35 in descending order.\nAnswer: 2\/35, -0.1, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9b1 (base 12) to base 13\nAnswer: 85c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnbb when four letters picked without replacement from {c: 11, n: 2, b: 7}.\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/61944 and -43\/1527240.\nAnswer: 44289960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 68 + 34. What is the greatest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = z - 2*j, 3*z + 19 = -j + 2*j. Let f(p) = p + 2. Let g be f(z). Let q be 56\/4 - (g + 4). Is 13 equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 4*g**2 - 5*g - 1. Let s be i(5). Let n(v) = -v**3 - 18*v**2 - 20*v - 734. Calculate the least common multiple of n(-19) and (-1)\/s*46 + -2.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5541, 11082, 16621, 22158?\n\"Answer: -h**2 + 5544*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 29.9 - -227.424\nAnswer: 257.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14097, 55860, 125529, 223110, 348609?\n\"Answer: u**3 + 13947*u**2 - 85*u + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (2 - 1 - (-3 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 19a6?\nAnswer: -19ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1480149606 and -0.5612.\nAnswer: 1480149605.4388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/11))**(1\/5)\/(u*u*u*u*u**(6\/7)*u)**(-3\/40) assuming u is positive.\nAnswer: u**(1409\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13235638.88 to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258911130.\nAnswer: 2, 5, 167, 753839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-2*sqrt(567) - sqrt(567))*-5 - sqrt(567)*1*2))**2 + -5 + -5 + (sqrt(567) + 1)**2 + (sqrt(567) - (0 + sqrt(567) + 1)).\nAnswer: 18*sqrt(7) + 96380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {r: 5, h: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/6 - 2*s**2\/3 - 26*s\/3 - 40\/3 = 0. What is s?\nAnswer: -4, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1589*f - 1574*f - 10 = -2*z, 4*f - 2*z + 6 = 2*z - 14 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29146*s**2*v - 923470*s**2 - 13*s*v**4 with respect to v.\nAnswer: 29146*s**2 - 52*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2912*g**3 + 6*g**2 - 20*g - 9. Let d(n) = 728*n**3 - 2*n**2 + 5*n + 2. Let f(i) = -9*d(i) - 2*t(i). What is the third derivative of f(r) wrt r?\nAnswer: -4368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lkl when three letters picked without replacement from {u: 1, f: 3, k: 4, e: 1, g: 1, l: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/2 + 563*w\/2 + 2284 = 0. What is w?\nAnswer: -8, 571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) + (-107)\/(-5). Let f be 3*(2 - (-3)\/(-3)). Solve -2*y = -o - 3, 0*o - f*y = 4*o - l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h + 24 = 36*h - 4*u, -5*h - 3*u + 52 = 0. Suppose -7 = -j + 2. What is the remainder when (-17)\/((-20)\/h - -2) is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let b(z) = z**2 - 14*z - 310. Let s be b(30). Let f be (-12)\/(-15) - (-544)\/s. Solve 4*o = f*m - 20, y = -o + 4*o - 5*m + 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/2)\/g)**(-1\/2)*(g*g*g*g**(-1\/7))\/g**(-14\/9) assuming g is positive.\nAnswer: g**(1049\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + sqrt(19) + (sqrt(95)\/sqrt(5) - sqrt(19)))**2.\nAnswer: -140 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -23. Let w = 0 - -1. What is the closest to o in w, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcfx. Give prob of sequence cf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i - 2*i. Solve 0 = 3*f - i*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 + 292\/5. Let k = -689\/2 - -357. Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2886 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 17*q**3 - 5*q**2 - 11*q + 31. Let h(l) = -12*l**3 + 3*l**2 + 7*l - 21. Let r(g) = 7*h(g) + 5*w(g). What is r(6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - ((-6 - (-8 - -7)) + 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-40)\/9401) + (-1)\/8. Let d = -1169 + r. Suppose -5 = 3*w - 14. Calculate the least common multiple of w and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -6*d + 5. Let a(w) = w - 1. Let q(i) = -10*a(i) - 2*r(i). Let b(t) = -4*t + 10*t + t. What is q(b(s))?\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -128660 divided by -5\nAnswer: 25732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 2 - (10\/(-135))\/(30\/(-4185)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) - 20\/(-9). Suppose 3 + 2 = 4*d - w, 3*w = -5*d - 15. Suppose 5*c - h - 4*h = d, 2*c = -4*h + 24. Solve c*y - 6 = o*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**4\/5 + 564*a**3\/5 + 572*a**2\/5 - 564*a\/5 - 568\/5 = 0?\nAnswer: -1, 1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide ((-1650)\/(-12))\/11*4128\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ul when two letters picked without replacement from {n: 1, x: 1, l: 1, u: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-12)\/(-72) + 1679*3\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5\/3 - 364*a**4\/3 - 1900*a**3\/3 - 1940*a**2\/3 + 632*a + 768 = 0. Calculate a.\nAnswer: -3, -2, -1, 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -12 - 676\/(-39)*(-12)\/22?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13658 + 13701. What is the remainder when 506 is divided by x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -86? (a) 2\/37 (b) 0.4 (c) 27 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.006\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/10191 or 1?\nAnswer: 2\/10191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0 = -4*v + 34, -37 = -5*v + 3*f. Calculate the remainder when v is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -17079.\nAnswer: 8539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) 5 (c) 0.1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bmbbbbnbmb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.164 - 6.936. Let g = z + 4.2. Let k = 3 + g. Is k greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 134*w**5 + 2*w + 453?\nAnswer: 2680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2700625 by 29.\nAnswer: -93125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 51252443\nAnswer: 35876710.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2. Let m = -28657 + 28659. Let q(s) = -s**3 + 2*s**2 + 23. What is m*q(b) - 4*h(b)?\nAnswer: -2*b**3 + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 16 = -8*k, -k + 3*y = -124 + 115 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204)\/561*11\/2 + (2 - -20).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1131 divided by -13\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 10*d - 5. Let h be f(7). Let z = h - 13. Find the first derivative of 0 + 1 + z*c**4 - 9 wrt c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 8 = 3*k, -4*w + 7*w - 2*k - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 1 (b) 0 (c) 0.067\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 11. Let g be m(-5). Let w be ((-70)\/(-49))\/(4\/14). Suppose w*q - 5*c = 0, c + 1 = -q + 3*q. Solve -q = d - g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281*b - 284*b = -9. Let m be (-1)\/(-6)*(b + 63\/(-14)). What is the nearest to m in 2\/11, 0.6, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 98282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -220613.2 to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - h + 30 = 0, -3*c + 2*h + 19 = -3*h. Suppose -c*l - 647 = -14*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3605699.\nAnswer: 47, 76717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25757249 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b - 6. Let s = 7 + -5. Let n be ((2 - s) + -14)\/(-2). Let x(m) = 8*m + 5. What is n*x(i) + 6*o(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 2 + (-9 - -8) - 19.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 220\/22 + 340\/(-35). Which is the biggest value? (a) 0.5 (b) -1\/5 (c) h (d) -3 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2135127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 288.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69546.89ug to grams.\nAnswer: 0.06954689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51113605308 + -0.013?\nAnswer: 51113605307.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2\/2 - 4204*t - 150414 = 0 for t.\nAnswer: -106\/3, 2838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21696679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 401657 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -1 + -23 + (-43 - 12 - -12).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 - 2*v**3 + 0*v**3)*(4*v + 6*v - 3*v) + (v - 2 + 2)*(2*v**3 - 1 + 1) - 5*v**4 + 0*v**4 + 3*v**4 + (-3 + 2 - 1)*(2*v**4 + 0*v**4 - 4*v**4).\nAnswer: -17*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*w**3 - 35*w**2 - 25*w + 30.\nAnswer: 5*(w - 2)*(w + 1)*(4*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 100, 44877, 0.3, 5 in decreasing order.\nAnswer: 44877, 100, 5, 0.3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22221 + -1468?\nAnswer: 20642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + f - 3129 = 0, 2*x + 22*f - 2096 = 18*f. What is the greatest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 + 7*m**3 - 13*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Let y(f) = 3*f**2 + 0*f - 2*f - 5*f**3 - b - f**2. Let v be y(-2). Calculate the greatest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(140)\/(sqrt(44)\/sqrt(99)))\/(2*-2*sqrt(252)))**2.\nAnswer: -187\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102292848191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2289926131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3858991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.123574 tonnes in micrograms?\nAnswer: 1123574000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1, -5, -27?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5*n\/(n\/n**12)*n*(n**(-2)\/n*n)\/n**(-4\/9) assuming n is positive.\nAnswer: n**(148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.2701 rounded to one dp?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.012*-29336.\nAnswer: -352.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*c + 19*c - 15*c + (c + c + 2*c)*(2 - 1 + 1) to the form k*c + i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 54. Let w be j(7). Calculate the common denominator of ((-11)\/(-3))\/((-3)\/w) and ((-3)\/4)\/(231\/(-112)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/(w*w**(-12))))\/w)\/(w\/w**(-2\/15)))\/(w**(-6)\/w)**(-10) assuming w is positive.\nAnswer: w**(-1232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s - 88 = c, -179 = 2*c + s. Let t = -36 - c. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -11*t**2 + 1\/144*t**4 + 0 + 0*t + 1\/18*t**3 - 1\/360*t**5. Factor l(o).\nAnswer: -(o - 2)*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by -3796.\nAnswer: -79\/3796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/4 of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/11546460 and 143\/6624.\nAnswer: 92371680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 + 21*f + 9*f + 23*f + 70*f - 28*f to the form b*f + t and give b.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 11, 3, -9, -25?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 1139*f**2\/2 + 98*f - 231. What is the derivative of z(c) wrt c?\nAnswer: 1139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 55, -139, -411, -761, -1189?\nAnswer: -1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226236 is divided by 3585.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 81. Let j(g) = 5*g + 132. Let l be j(0). Suppose -l = -5*q + 93. Calculate the greatest common divisor of q and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3160*o**3 - 41386*o**2 - o + 40968149?\nAnswer: -18960*o - 82772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15, -1633329, -5 in descending order.\nAnswer: 15, -3, -5, -1633329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 - 2*c\/7.\nAnswer: 2*c*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8410964658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 562 = -v, -5*v = 5*c - 550. Suppose -c = -2*b + 4*l, -5*b + 3*l - 2*l = -325. Suppose 3*z = -0*z + b. List the prime factors of z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -484450207*u - 454222874.\nAnswer: -484450207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -939*a**3 - 3*a + 545 wrt a?\nAnswer: -5634*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 46*o**2 - 2336*o - 17462. What is w(35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -3*j**2 - 1. Suppose -2*r = -m + 13, 3*r + 0 = -12. Suppose 5*w = 5*v + 5, m*v - 5*w = 3*v - 8. Determine n(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - y**2 + 6*y - 4. Suppose 4*m + 16 = 4*h, 4*m - 3*h + 13 = 2*m. Let v be z(m). Let t(f) = -2 + 0*f + f**2 - 2*f**2 + f. Give t(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 4*a - 16, 5*m + a - 768 = -790 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsiinuuyysii. Give prob of picking 2 u, 1 s, and 1 d.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 1. Let l be b(3). Let x = -5477 - -5480. Solve 0 = -c - x*c + l for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118708 + -118705. Factor -33\/2*j**2 + 6*j + 3*j**u + 15\/2.\nAnswer: 3*(j - 5)*(j - 1)*(2*j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxjgxxjgxgxxx. What is prob of picking 1 x and 3 g?\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -878?\nAnswer: 4390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 10*g = 14. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141728028, 141728029, 141728030?\nAnswer: 141728031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 680 in -2\/7, -4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, 0, -4.\nAnswer: -11, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 150386 to the power of 1\/2, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -688, -3, 8, 3, 34, -5 in increasing order.\nAnswer: -688, -5, -3, 3, 8, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 33*v - 32*v - 3, 4*t - v = 17. Solve -11 = t*g + b, 7*b = -4*g + 2*b - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-8) - (-1)\/2. Let k = 29 + r. What is the highest common divisor of k and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 15. Suppose -i + 77 = 7*y - 3*y, -l*i + 410 = -5*y. Is 23 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2. Let g(j) be the second derivative of 715*j**3\/6 + 4*j**2 - 868*j - 5. What is g(d(p))?\nAnswer: 1430*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-7)*s)*s)\/((s*(s*s\/(s\/s**(4\/11))*s)\/s)\/s) assuming s is positive.\nAnswer: s**(73\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - h = -3*h - 10, 4*z + 5*h = 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 15 = 0, -2*x - 5*r + 14 = -5. Let f = 6 + x. Let w(g) = 3*g + 2. Let l(z) = -z**2 - 4*z - 2. Determine f*w(o) + 2*l(o).\nAnswer: -2*o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12601*j**3 + 2*j**2 + 159*j + 4?\nAnswer: -75606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 6:23 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from araaabgaaaagaaar. Give prob of picking 2 g.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9bb9e (base 16) in base 15?\nAnswer: c8ed9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 282 - 282 + 76*u**5 + (0*u**4 + u**4 - 3*u**4)*(-4 + 2*u + 4) + (3 - u**3 - 3)*(2 - 2*u**2 - 2) - 6*u**5 + 4*u**5 + u**5.\nAnswer: 73*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -852? (a) 0.4 (b) -3\/13 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150580 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -3 (b) 512.4 (c) 0.2 (d) 42 (e) 2\/3 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -2.5, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**4\/6 - 3*i**3\/2 + 114*i**2 + 2*i. Let x(q) = -q**3 + 6*q**2 - 6*q - 2. Let z be x(4). Determine v(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -2) + -4 + 1. Let y(x) = -2*x. Let v(i) = -2*i - 3. Let q(h) = v(h) + 3*y(h). What is the smallest common multiple of q(z) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 4046 = -16*y. What are the prime factors of y?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - d - 6, 7*f - 2*f - 3*d = -30. Let s(w) = -5*w - 5. Let l(g) = g. Let c(h) = h - 11. Let v be c(5). Let k(a) = v*l(a) - s(a). Determine k(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29779.5 - 528125\nAnswer: -498345.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**5\/20 + 10*r**2. Let y(f) = 8*f**2. What is y(b(z))?\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1272 and 176.\nAnswer: 27984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 33*j + 2787. Let q be i(-84). Let o(p) = 4*p**2 - 61*p + 12. Give o(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + 0. Let y be (-17)\/(-5) - 2\/b. Let n be y*(1 - (2 - 2)). Solve 2 = n*l - 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2.2. Let s = 23070.9 - 23071. Put a, s, -270 in decreasing order.\nAnswer: s, a, -270","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149 - 16*i + 149)*(-i - 30 + 14*i + 22).\nAnswer: -208*i**2 + 128*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46132.52 litres to millilitres.\nAnswer: 46132520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 184820484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 6427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -2\/13 (c) -79888 (d) 0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - (-3 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/(-30))\/(1*7 + (-95348)\/13794)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqx when three letters picked without replacement from bbqmpaxmxqmp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.21 (b) -9\/10 (c) 0.01279 (d) 3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/6)\/6 - -2. Let q(p) = 172*p + 24. What is the hundreds digit of q(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4090, -3896, -3570, -3112, -2522, -1800, -946?\n\"Answer: 66*h**2 - 4*h - 4152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-12)\/21)*59. Let b = -270 - c. Suppose -b = -n + 10. What is the highest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrcrojcrrrjcocjrrjj. Give prob of picking 1 o and 1 c.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 223 - 104. Suppose f*l - 320 = 111*l. What is the greatest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**4 - 732*d**3 - 7*d + 1882 wrt d.\nAnswer: 72*d**2 - 4392*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4124*w + 230258 - 19396 = 1425*w for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = 4*k, 0 = 4*s + k - 2*k - 21. Suppose 702 = s*r - 323. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -0.5, 0.01, 0.63, 0.175 in increasing order.\nAnswer: -43, -0.5, 0.01, 0.175, 0.63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19375 (base 14) in base 7?\nAnswer: -354005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11676, -23072, -34478, -45900, -57344, -68816, -80322?\n\"Answer: -j**3 + j**2 - 11392*j - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-119)\/(-35) - 4\/10. Let r(n) be the second derivative of -n**2 + 2*n + 0 - 1\/3*n**s. Differentiate r(t) with respect to t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - 45. What is the greatest common factor of f and 290?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 1, p: 2, r: 1}. What is prob of picking 1 r, 1 g, and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**4\/24 + 10*j**3\/3 + j**2 - 1438*j. Calculate s(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3699038 to the nearest integer?\nAnswer: 1923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(432) + 0 + sqrt(432)*-2 - ((sqrt(432) + 0 - sqrt(432)) + -5 + sqrt(432) + 0 + 5))*-4)**2*-5 + -5.\nAnswer: -139525 + 15360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13182 = 119*f + 5566 for f.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-1 + (-2)\/(-2)). Let v = z - 6. Let n be v\/6 - (-18)\/4. What is the third smallest value in -2, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125484385 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 17*x - 3. Let y be c(-9). Let s be 10\/y - (-4)\/12. Factor -180 - 3*b**2 - 3*b**2 + 60*b + 2*b**s - b**2.\nAnswer: -5*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26419, -105662, -237733, -422632, -660359, -950914?\n\"Answer: -26414*s**2 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1003175.\nAnswer: 5, 40127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18247 + 98235. Suppose 14*v - w = 10970. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 divided by 2?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 - 5 - 46*t**2.\nAnswer: -46*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22\/231)\/(1 + 25\/(-15)). What is the closest to -0.1 in -0.2, j, -309?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8996848 is divided by 1153.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 696528727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/2 - -8)*((-3 - -1) + 2). Solve 4*c - 4*n - 16 = l, 3*n = 3*c - 2*n - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 23*n**2 - n - 175. Calculate y(0).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/((-450)\/(-1416)))\/(2\/(-10)). Suppose 3*w - 458 = 2*r + o, -2*w + 3*r = -466. List the prime factors of w.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6388 divided by -4.\nAnswer: 1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*m - 5, -7 + 10 = -3*s + 3*m. Solve -3*d = 4*y - s*d - 2, 14 = 2*y - 5*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 2)*(-d + 4*d - 4*d) + 2*d - 4*d + 0*d - d - 4*d + 3*d - 1 + 1 - d + (2 - 3 + 2)*(3*d - 3*d + 2*d) + 36 - 36 - 13*d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*f - 19 = 12, -2*f + 56 = 5*y. Suppose 5*a = -n + 19, -2*n + 30 = -3*a - 8. Suppose -y = n*g - 21*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - -1*(-29924)\/(-4).\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 39*b - 770 = -37*b for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -332 - -440. Let x(i) = 0*i - 1 + i + 0 + 12*i**2. Let w be x(1). Calculate the greatest common factor of u and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*v - 2*v. Suppose 4*r - 20 + 4 = -v*k, 4*r - 4 = 0. What is the remainder when 3 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*d - 192172 = 143587, i - 111922 = -3*d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16000 and 64096?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 32. Let x be k(-10). Let l be (-1)\/1 - (-1 + -22). Let i = x + l. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45233 + 46973. What is the lowest common multiple of 3190 and v?\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -531437770*d**2 - 513018*d + 253?\nAnswer: -1062875540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38628 < 38628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 12 = 2*n, -p + 3 = 2*n - 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 11.2. Let z = -8 - i. What is the nearest to 1\/3 in z, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02809780717 - -20.\nAnswer: 19.97190219283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + n + 3*r = -12, -4*n - 3*r = 11. Let u(m) = 52*m**2 + 39*m**2 + 51*m**2. What is the hundreds digit of u(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 k, and 1 u when four letters picked without replacement from nkwnwwduknf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19759 is divided by 1667?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -46*o**2 - 560*o - 102. Give s(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -11 + 11 + 8 - 9*f - f**2. List the prime factors of b(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1451 + 2140. What is the greatest common factor of 39 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1442175 and 139\/304850?\nAnswer: 37496550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 44 - 2 = -5*b, -k + 21 = 4*b. Calculate the greatest common divisor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 508, 1017, 1526?\nAnswer: 2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9069?\nAnswer: 3, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - (25 - ((7 - -17) + -28))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 108 (b) 0.31 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3894 - 3893.54. Is x < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 637245*w**4 + 4269720*w**3 + 10593560*w**2 + 11529440*w + 4646480.\nAnswer: 5*(w + 2)**2*(357*w + 482)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + (-8)\/(-3). Suppose 0 = -0*g - h*g. Suppose i - 4 + g = 0, -4*v = i - 24. What is the remainder when 14 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 395 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 9714*v - 203868.\nAnswer: -2*(v - 33978)*(v - 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802*n + 796*n = -7734. Let u = 1965 - n. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 2*g + 6. Give b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eewwww. What is prob of sequence ew?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(5\/2)\/f*f)\/f)\/f)\/(f\/f**(2\/13)) assuming f is positive.\nAnswer: f**(-9\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 575475 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {a: 1, u: 3, x: 6, b: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 0.4, 47, 0.1 in decreasing order.\nAnswer: 47, 3\/7, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(0 - (-3 - -2)). Sort p, 28, 0.\nAnswer: p, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 3*s**2 - 5*s - 1. Let x(q) be the first derivative of q**4\/4 - q**2\/2 - q + 839. Calculate p(f) - 3*x(f).\nAnswer: -2*f**3 - 3*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621600185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11.408 or 0.22?\nAnswer: -11.408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, r: 3}. Give prob of sequence crc.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 24 - 16 - 13, 0 = 2*f - t - 10 + 37 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41255009 to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 101300 and 700?\nAnswer: 709100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(704) - sqrt(44))\/(sqrt(4) - sqrt(96)\/sqrt(6)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2 - 18*x - 3. Let a(d) = -8*d**2 - 37*d - 7. Give -3*a(t) + 7*g(t).\nAnswer: 3*t**2 - 15*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429 is divided by (-16)\/(-88) - (0 + -2)\/(352\/3136)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -406, -5, 2\/9.\nAnswer: -406, -5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a16 + 0?\nAnswer: a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 n when four letters picked without replacement from fnffffnff?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3 - 5*f**2 - 4 - 2*f - 7*f**3 + 8*f**3. Determine o(4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.99 - -0.01. Let x = -1.9 + f. Which is smaller: -1\/3 or x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:50 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -369 + 327. Let s be 159\/h + (20\/35)\/2. What is the nearest to -0.2 in 0.3, -2\/5, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 543718*a**4*c**3 - 19*a**2*c + a**2 + 3*a*c**3 - 2*a*c - 8*a wrt a?\nAnswer: 13049232*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**3\/3 - 5*b**2\/2 - 4*b + 13. Let s be r(-3). Solve -7 = 3*z + n, z + s*n + 0 = -4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 5*l = -7*l, 2*r + 12 = 2*l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2743366 to the nearest integer?\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10777*h**3*w**2*z - 3*h**2*w**2*z + 3*h**2*w**2 + h**2 + 2*h*w*z - 589 wrt h?\nAnswer: 64662*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1122 - 123.3178. Round j to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)\/((a\/(a\/(a*a\/(a**(-2\/7)\/a)*a)))\/a**3)*((a*a\/a**(-2)*a)\/(a*a*a*a**0*a))**(-25) assuming a is positive.\nAnswer: a**(-191\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4017 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + l**2 - 5 + 1 + (-3 - 2*l + 3)*(3*l - 6*l - 2*l) + 4*l**2 - l**2 + 2*l**2.\nAnswer: 16*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21120 - -10?\nAnswer: -21110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 a when three letters picked without replacement from uhgzaazaaaazauza.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*p = -9, -l - 2*p + 0*p - 11 = 0. Let w be 3\/12*-3*4. Sort l, 0, w in decreasing order.\nAnswer: 0, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43142376?\nAnswer: 2, 3, 599, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4506*j + 49726. Give c(-11).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 651 (base 8) to base 15\nAnswer: 1d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = t - 157, -4*a = 12*t + 5 - 10 - 136 - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208162 and 430902.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -12. Solve -5*f - m = 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + f**3 + 3 - 2*f**3 - 7*f + 4*f**2. Suppose 0 = -4*p - 0*p + 140. What is the remainder when p is divided by q(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3722*u**2 + 10*u - 9. What is the thousands digit of o(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 6, i: 2, k: 5}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e777 (base 16) in base 2?\nAnswer: -1011110011101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19396189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*w + 184, -3*q - 184 = -4*w + q. Is w a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12\/17 - -31\/68. What is the second smallest value in w, 0.4, -2\/13, 2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.419 - -3.419. Which is the nearest to -5? (a) -5 (b) z (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9 plus 0.05964015981?\nAnswer: -5.84035984019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 717*u**4 - u**2 + 718*u**4 - 2167*u**4 - u**3 - 230*u + 730*u**4 to the form h + v*u + z*u**4 + l*u**2 + j*u**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p - 66 = -157. Let s(l) = -l**3 + 5*l**2 + 16*l - 10. Determine s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.52 and -5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h = 14*h - 588. Let v be 24\/h - (-37)\/7. Solve -v*l + 1 + 14 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -4. Let p(n) = -n. Let o(s) = -s**3 + 8*s**2 - 5*s - 7. Let v(k) = -o(k) - 3*p(k). Let z be v(7). Solve -b*f = f + 8, z = -3*r - f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {o: 2, k: 5, a: 2, l: 1, f: 2, g: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j**2 + 55. Let s(o) = o**2 + 4. Let b be (-282)\/5 - (-63)\/45. What is b*s(d) + 4*a(d)?\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.73 + 0.32. Let o = -1.05 - -1. Let h = o + u. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/45 + (-2)\/(-9). Suppose 4*n - 2*n - 16 = h. What is the greatest common divisor of n and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.166652 to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -3\/2, 98, -5, 4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**2\/3 - 940*n + 132540 = 0.\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0*f + f - 2*f - 3*f + 2*f + 3*f + (-2 - 2 + 5)*(2 - 2 + f))*(-1 + 1 - 1) as m*f + n and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 270126*m + 1419. Let z(k) = -381*k - 2. Give 6*q(o) + 4257*z(o).\nAnswer: -1161*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + 2 + sqrt(343)))**2.\nAnswer: 2520*sqrt(7) + 13248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + (sqrt(36)\/(sqrt(6)\/sqrt(2)))\/(sqrt(16)*-1 - sqrt(4)))**2.\nAnswer: -2*sqrt(3)\/3 + 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117*h - 156*h - 122*h)*(5 - 4 + 1) to r + z*h and give z.\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -13*m + 19. Let o(b) = -4*b + 6. Let y(w) = -2*a(w) + 7*o(w). Let h be y(3). Is 30\/20 + (-295)\/h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31455 - -31459. Let y = 3 - 5. Put 6, o, y, -1 in ascending order.\nAnswer: y, -1, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) 2\/11 (c) 1.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362*b - 2025 = 227*b for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10297 + -9176. Is 19 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*1*2. Let r be (h - 5)\/(2 + -4). Let n(d) = -3*d + 4. What is n(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mvmvmvmmmmv.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897760.5 weeks to microseconds.\nAnswer: 542965550400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12\/7, -0.1, -1\/6?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbvd. Give prob of sequence dbb.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*q**4 - 3 + (6*q**4 + 63*q - 63*q)*(1 + 1 + 7).\nAnswer: 57*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 317 (base 9) to base 5\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167218 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 8*u**2 + 7*u - 2. Let p be o(7). Let x = 9 + p. Suppose z + 2*c - 15 = x, -4*c + 64 = 3*z. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -788 - -4?\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 396413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 11. Let s = -1.8 - 29.2. Let j = 34 + s. Which is the closest to -4? (a) r (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30068, 30332, 30592, 30848, 31100, 31348, 31592?\n\"Answer: -2*c**2 + 270*c + 29800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (93 - -3)\/(9\/12). Let r = -77 + l. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -12 - (-4 + -5 + (-5 - -37))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/691 in 2\/15, -0.7, 17.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2392 and 3009734.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12398, 1, 103, -2 in decreasing order.\nAnswer: 12398, 103, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(539) + sqrt(11) + (sqrt(110)*2)\/sqrt(10) + (sqrt(891) - (-2 + sqrt(891) + 1))**2 + -1.\nAnswer: -1 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 8*h - 4*h)*(-4 + 7 - 4) - 3*h - 2 + 4*h - 3*h.\nAnswer: -6*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -53*u**3 - 3*u**2 - 28*u - 8. Let h be v(-3). Round h to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 62*d - 30. Give r(-8).\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32, 48, 90, 170, 300, 492, 758?\n\"Answer: 2*q**3 + q**2 - q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16836 is divided by 4207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -6*z + 7\/2*z**3 + 4*z**2 + 0 - z**4 - 1\/2*z**5 = 0.\nAnswer: -3, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -y - f - 8, y + 2*f = 12. Suppose 3*u - y*u = 0. Solve v - x + 3 = -u*x, 3*v + 13 = 5*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-15)\/(x\/(x\/(x\/(x**(8\/9)*x)))))\/(x*x**(-19)*x*(x*(((x**(1\/2)*x)\/x*x*x)\/x)\/x)\/x*x) assuming x is positive.\nAnswer: x**(25\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and (-94419)\/(-81) + (-20)\/12?\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 + 130.2. Which is the closest to 2\/7? (a) -4 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, l: 2, q: 5}. What is prob of picking 1 q and 1 l?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 17*w + 146. Give c(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 13, -26, -63?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 12*s**2 + s + 42\/5*s**5 + 29 + 9\/10*s**6 + 93\/4*s**4 + 27*s**3. Factor u(p).\nAnswer: 3*(p + 1)**2*(p + 4)*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*n + 5*g + 8, g = -n - 2. Let w be -13 - (-7 + 7 - 17). Suppose 910 = 5*r + 2*x, x + w - 9 = n. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22883733 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1450, 1322, 1136, 862, 470, -70, -788?\n\"Answer: -5*y**3 + y**2 - 96*y + 1550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 53 - 29 + 315*d - 24 as p + b*d and give b.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/44 and 89\/2431136.\nAnswer: 26742496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/3 + 11594*n + 243376\/3 = 0.\nAnswer: -17384, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48908 is divided by 357.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y. Suppose y = -d - 0 + 10. Calculate the least common multiple of d and (-1 + -23)*(-6)\/8.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*l - 6 = 0, -3*x + l + 4 = -1. Let j = -32929\/33 - -9220\/11. Let r = j - -161. Are x and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3386680 and 5728.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -4. Let n be (0 - 3) + 2 + k. What is the tens digit of 31\/3 - n\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1254 divided by -209.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = 2*s + 5*k, 2*s = k + 11. Suppose 3*m - 167 = s*q, 220 = m + 3*m - 4*q. Let x = 87 - m. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)\/(sqrt(12)\/sqrt(2)))\/((2*sqrt(63))\/sqrt(7)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122487 is divided by 263?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -416*z - 152279. Calculate f(-366).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5176424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113751?\nAnswer: 3, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let p(o) = -2*o - 218 + o + 226. Determine p(q(i)).\nAnswer: i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/11 and 35\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**4 + 66*o**2 + 4*o + 4. Let l(f) = -f**3 + f**2 - f - 1. Let s(y) = -d(y) - 4*l(y). What is the third derivative of s(k) wrt k?\nAnswer: -72*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274487039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2 - 10\/6). Suppose 4*i - 433 = l*s + 201, -5*s = -4*i + 638. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 12*p - p. Suppose -5*s + 6 = -3*s. Let g be 3 - (7\/1 - s). Sort g, p, -14 in decreasing order.\nAnswer: p, g, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 6*k**2 - 4*k + 3. What is p(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3817900 and 5475?\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -31. Suppose -2*k = -6*k + 24. Suppose -a = -g + k*g. Put g, 2, 3 in descending order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15, 0.4, 1\/6, -50007, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(108)))**2.\nAnswer: -12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 v, and 1 h when three letters picked without replacement from {h: 4, v: 10, g: 3, i: 2}.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 3:15 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/2403 at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47937 is divided by 60.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/9)\/((-1)\/(-3)). Suppose -3*v + x = -8. Let w be v\/2 - 245\/182. Which is the biggest value? (a) 0 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2 - r**2 - 2*r**2. Let f(n) = 7*n**2. Give c(f(t)).\nAnswer: 49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0)*(-2)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c59e (base 16) to base 3.\nAnswer: 2120101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 5*j + 2*j + (-5*j + j + 3*j)*(-1 + 4 - 1))*(-2*j**2 + 4*j**2 - 5*j**2) to g*j**3 + f*j + x*j**2 + q and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -14) + (2 + -10 - (-8 - -6))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 1, b: 2, i: 1}. What is prob of sequence bw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -178\/3 in 1\/5, -13.2, 2, -0.2, 4, -5.5?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44100 rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 - 74. Let m = 13 - 13.1. Which is the nearest to 1.4? (a) d (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-1)\/1 - -3. Suppose 2*g + 2*w - 8 = 0, 3*g - u*w = -2*g + 4. Calculate the lowest common multiple of g and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**3 - 235*m**2 = 0?\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 229*k**7\/70 + 263*k**3\/6 + 260*k**2 - 1. What is the first derivative of a(t) wrt t?\nAnswer: 2748*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7629407 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.2934 rounded to one decimal place?\nAnswer: -29.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961549420?\nAnswer: 2, 5, 13, 547, 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -2, 107 in increasing order.\nAnswer: -11, -2, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 - 83 = -n - 9 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 + 33203654?\nAnswer: 33203602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134410433 - -124?\nAnswer: 134411112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = f - 3964, 15*f - 19*f = 4. What are the prime factors of k?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 16577383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**4 - 26*o**3 + 41*o**2 - 25*o + 7. Let m(a) = -a - 8*a**2 + 3*a + 1 - 3*a + 9*a**2. Let y(q) = i(q) - 3*m(q). Factor y(n).\nAnswer: 2*(n - 2)*(n - 1)**2*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 4*v + 1. Let a = 15 - 17. Let p be g(a). Suppose -j = -4*n - p, n + 29 = 4*j - 20. Solve -5*t - 7 - j = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 6.2, 7, 0, -1.03, 4, -7\/2 in descending order.\nAnswer: 7, 6.2, 4, 0.1, 0, -1.03, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16590698?\nAnswer: 2, 8295349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241 - -246. Suppose -r + 4*r - 57 = m*j, 0 = -5*r + 4*j + 108. What is the least common multiple of 66 and r?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*o - 45255 + 43407 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a**2 - 2038*a + 4678. Determine p(-257).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15\/44 - 1\/11. Let o = -0.32 + 0.22. Which is the third smallest value? (a) -4 (b) u (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -74 + -6212?\nAnswer: -6286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153 - 83. Let d = 73 - s. Calculate the lowest common multiple of 5 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 172 + -171. Solve -5*x + a = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1605597 days?\nAnswer: 13872358.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewtwttwwwwewe. Give prob of picking 2 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b6189 (base 12) to base 4.\nAnswer: 20200101321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*b - 26 = 0, 2*b - 21 = 2*m - 19. Let s(g) = 4*g + 7. Let d(p) = -13*p - 22. Give m*d(c) + 14*s(c).\nAnswer: 4*c + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9577 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637*r + 26 = 318*r + 306*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0)*-6 + 12*583\/(-636)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*t**2 + 244*h**3*t + 19*h*t - 12138*t**2 wrt t.\nAnswer: 2*h**3 - 24276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 354 * 70\nAnswer: 24780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 18644493.\nAnswer: 205089423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2473 = -16*u - 1430 + 5805. Calculate the remainder when u is divided by 55.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -14. Calculate the remainder when (1\/2)\/((-6)\/(-156)) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -3 + (-1 - (-7 - -4) - 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1135, 1452, 1913, 2518, 3267, 4160?\n\"Answer: 72*n**2 + 101*n + 962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/3 in 58063, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-8) + (-29)\/(-4). Let n = 177859 + -177806. Is z <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 9 (b) -0.4 (c) 72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18021.\nAnswer: 3, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -297600, -297632, -297666, -297702, -297740, -297780?\n\"Answer: -n**2 - 29*n - 297570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/8 + 39*h**3\/8 - 1881*h**2\/4 + 3010*h = 0 for h.\nAnswer: -86, 0, 7, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 2*r**2 - 11*r - 5. Let a be d(-4). Suppose -a*p - 32 = -11*p. Calculate the lowest common multiple of 1 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 17\/(-2))*3308. Let w = 3289847\/117 + b. Let y = w + -2\/117. Which is smaller: y or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -71.695, -4\/7, 26\/3, 5 in descending order.\nAnswer: 26\/3, 5, -4\/7, -71.695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2 + (-10)\/(-4)). Let q(n) = 1 - n - 264*n**2 - 2 + 412*n**2 - 149*n**2 + 2. What is q(o)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -3\/14, 0, 1\/2 in increasing order.\nAnswer: -3\/14, 0, 1\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 48885560 and 48885554 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**6\/60 - a**5\/3 - 3*a**4\/8 + 4*a**3 + 84*a**2. Is h(-11) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18330.\nAnswer: 2, 3, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52*c + 139 - 139 + (1 - 2 + 2)*(3*c + c - 2*c) + 2 - 2 - c.\nAnswer: 53*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5 = 10, 4*u - 22 = 2*k. Let m = 3 + k. Suppose m = 5*x - 8. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/10)*v*v*v**(-23))**(-3\/32))**8 assuming v is positive.\nAnswer: v**(633\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 5 + (0 - (6 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 14294 = -6217. Suppose 0 = 3*x + 3*p - 5913, -x - 312 = 3*p - a. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33 - 26) + -12 + -1 - -6 - (-5 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -16 + (13 - -22) - 17. Factor 0 - 2*f**4 + f**h - 7\/2*f**3 + 0*f.\nAnswer: -f**2*(f + 2)*(4*f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -16*g**3 + g**2\/2 + 143. Let l(d) = 2*d. What is l(x(a))?\nAnswer: -96*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 1\/17, 4, 1\/3, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 12:04 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1331 - -1603. Calculate the remainder when a is divided by 164.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11085, 11151, 11225, 11307, 11397?\n\"Answer: 4*n**2 + 54*n + 11027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92088, -92087, -92086, -92085, -92084, -92083?\nAnswer: -92082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 2. Let o be w(-2). Suppose o = 3*f - 0*f - 6. Factor 0*m**f + 0*m + 0 - 1\/3*m**3 - 1\/3*m**4.\nAnswer: -m**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19956620.\nAnswer: 2, 5, 53, 67, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-476))\/(7\/56).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-48)\/(-108))\/((-4)\/(-36)). Suppose -3*v + 5*m + 233 = -v, -3*m + 453 = g*v. Calculate the remainder when v is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49601 (base 10) in base 15?\nAnswer: -ea6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/21*44\/(-88). What is the closest to j in 1, 4, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001174291 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)\/sqrt(108) - (sqrt(52) - (2*sqrt(468) + sqrt(468))\/sqrt(9)))\/(-1*-3*sqrt(400)).\nAnswer: 7*sqrt(13)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5663533 litres?\nAnswer: 566.3533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -723 + 6946. Suppose -4*b = 3*b - p. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 13*y - 12*y - 3, -3*y - 21 = 3*g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*q + 10. Suppose 0 = 7*x - 25 - 122. Let t be (2\/(-18))\/(-2 + x\/9). Which is the nearest to t? (a) -3 (b) q (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 - 169.099. Let n = 0.2442 + -1.4532. Let t = n - m. What is t rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 622297 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042 (base 5) in base 8?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176856 + 2*o + 176856.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*c = 17*c + 670 - 2412 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 2) + (4 - (9 - 7)) + 54 + -19.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 13. Suppose 4*p = -4*l + 2432, g*p - 7*p = l - 628. List the prime factors of l.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/8)\/d*d\/d**(2\/19))**29*d*d**7*d*d*(d**(2\/5)*d)\/d*(d**(4\/7)\/d)\/(d*d**(2\/3)*d) assuming d is positive.\nAnswer: d**(125719\/15960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6053 to two dps.\nAnswer: -4.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -0.0948 (b) 3\/4 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3172254 to the nearest integer?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -132\/7 (b) -5 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 232 = 16. Let h(z) = 43*z - 93*z + g*z. Let c(k) = -7*k**2. Determine c(h(t)).\nAnswer: -112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + u - 14. Let s be r(5). What is the common denominator of ((-1)\/(24\/s))\/(21\/(-54)) and -91\/194?\nAnswer: 1358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -1.7452.\nAnswer: -1.4452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3*c - 2*c - 6*c**2 + 5*c. Let j(v) be the third derivative of -v**5\/60 + 6*v**2 - 11*v. What is d(j(w))?\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -14430.\nAnswer: -14430, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 153 - 17937\nAnswer: -17784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -7*p**2 + 5*p + 276. What is w(6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-27)*(-3)\/(12\/((-96)\/(-8)))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.022 - -16\nAnswer: 16.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(95) + -3*(sqrt(95) - (sqrt(95)*1 - sqrt(95))))\/sqrt(5) + 5*(sqrt(57)\/sqrt(3) + sqrt(19))*-6)**2.\nAnswer: 73038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h**(-3)*h)\/h)\/h)\/h)\/h)**(-5\/4)*h**(-11)*h\/(h\/h**(-14\/3))*h assuming h is positive.\nAnswer: h**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**5 + 40982*d**4 + 307516*d**3 + 758656*d**2 + 676680*d + 184554 = 0. Calculate d.\nAnswer: -3, -1, -1\/2, 10253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*r = -78*r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-9 + 9) - (-10 + 17 + -71).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.734 + 8256.266. Let i = x + -8268.2893. Let w = i - 0.7. Round w to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 392145 + -37253427\/95. Let d = -24\/19 + g. Find the common denominator of -127\/6 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 10*n**2 + 11*n - 2. Let o be b(11). Let m be 750\/(o\/160*1). Round m to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - u - 2 = 0, -3*u - 246 = -10*a - 506 + 253 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:07 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1181\/13445 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/41 (b) -2 (c) -2\/5 (d) 4 (e) -1\/4 (f) -291\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2102048205 to the nearest integer?\nAnswer: 45848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 19920*v - 79600.\nAnswer: -5*(v - 3980)*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 5. Find the common denominator of g\/(-75)*(-1)\/((-12)\/(-1245)) and -89\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 - -136.5. What is the second biggest value in -0.06, a, -0.05?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151980 and 110.\nAnswer: 1671780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 122 (b) -2863 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-10)\/5)*7. Solve u*y = 2*y - 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**5 + k**4 - k**3 - k**2 + k + 1. Let h(d) = 9*d**5 - 15*d**4 + 27*d**3 - 21*d**2 + 5*d + 5. Let o(q) = 5*f(q) - h(q). Find w such that o(w) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 17 + 8 = 0. Suppose x - 59 - n = 0. Suppose -6*b + x = -2*b. What is the greatest common factor of b and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -146052, -146413, -147018, -147867, -148960?\n\"Answer: -122*f**2 + 5*f - 145935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 129*i**3 - i - 1. Let h be n(2). Let q = -263 + 344. Let j = q + h. What is j rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3687\/355 - 1\/71. Let t(z) = z**3 - 4*z**2 - 7*z + 9. Let i be t(5). Which is bigger: i or v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 201177124 - 0?\nAnswer: 201177124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5 - 12 = -2*o, -o - 5*v - 11 = 0. Suppose 0 = -0*p + o*p - 40. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3 + sqrt(80))*5*-6)*-4.\nAnswer: -368 + 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**3 - 2*g**2 + 6*g - 73. Give u(-6).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 964.\nAnswer: -3\/964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27.8 + -29.8. Which is the nearest to 2\/7? (a) 0.2 (b) 2.6 (c) w (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*f + 24, -2 = -4*f - j - 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 33*d**3 - 6*d)*(-5 + 3 + 4 + (0 + 0 + 2)*(-6 + 4 + 3) + 3 + 3 - 1).\nAnswer: 297*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elmjilje. What is prob of picking 1 m, 2 l, and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxxb when four letters picked without replacement from {x: 6, t: 1, u: 3, b: 2, k: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3799, 7660, 11517, 15370, 19219?\n\"Answer: -2*i**2 + 3867*i - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 - 1415 = -5*j. Let t = j + 40. Suppose 4*g - t = 1893. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -101 + 0 - (-5 - 5\/(-5)). Let q = c + 99. Let t be 2*q\/(-10)*-5. Solve 13 = d - 3*h + h, -12 = -4*d - t*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 10*t**2 - 12*t - 5. Let u be k(9). Let c be (8\/2)\/((-4)\/u). Let r = c + 7. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -108. Which is the biggest value? (a) -3 (b) u (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 29 = -6*u + 8*u, c - 3 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03986 or 1?\nAnswer: 0.03986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3704*g = -3729*g + 175 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 318*j**2 - 28*j**2 - 2 - 2.\nAnswer: 290*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - 956\/(-48) - (-6)\/(-9) and 101\/136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 943\/46 + 0 + 3 and 27\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o = 213. Let c = o - 27. Suppose -3*x + c = -34. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4 = 2*i, -2*i + 0 + 8 = -3*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:47 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*x, 2*n + 403 = -3*x + 480. Calculate the greatest common factor of 8738 and n.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 458146 and 7364.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9703*w + 16297*w - 8174*w)*(w**3 + 5*w**2 - 5*w**2).\nAnswer: -1580*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -128 (c) 963\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74\/65 - -7\/13. Let m = -17.8 - -18. Let y = -2 - 1. Which is the closest to 1? (a) m (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-9) + 47\/6)*248\/12. Is 184 at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3920 + -3725.11. Round p to 0 decimal places.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37270, -37432, -37704, -38086, -38578, -39180?\nAnswer: -39892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b + 8. Let y be c(-8). Suppose -5*h = -5*j - 41 - y, 30 = 2*h - 4*j. Let w = -5 + 12. What is the smallest common multiple of h and w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + -0.96?\nAnswer: -27.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 20*v**2 - 1. Let a(l) = l**2 + 5*l + 3. Let k be a(-5). Let r(g) = 122*g + 1354. Let n be r(-11). Suppose n*b + k = 15*b. Calculate z(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4 - 19722277*t**3 - 59166837*t**2 - 59166839*t - 19722280.\nAnswer: (t - 19722280)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3, 2, -0.12, 2\/2633, -3\/5, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -650.073 + -0.4?\nAnswer: -650.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 572 = 5*x + 4*v, x + 5*v - 572 = 0. Calculate the highest common factor of x and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 + 12*d + 11. Let w be j(10). Let l be 0 - -1 - ((w - -1) + 2). Let t = l + -54. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 295625 and 16082.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (11 - (5 - (0 - 13))).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-9)*(-27)\/126)\/(20\/30). Put -30.8, 5, m in decreasing order.\nAnswer: 5, m, -30.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 5*c**6\/6 - 2*c**5\/5 + c**2\/2 + 44*c + 36. Find the second derivative of g(x) wrt x.\nAnswer: 100*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1179975 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w**2 + 55*w - 46. Let j(d) = -14*d**2 - 55*d + 44. Let t(a) = -4*j(a) - 5*s(a). Suppose t(c) = 0. Calculate c.\nAnswer: 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.255, -1, -6 in ascending order.\nAnswer: -6, -1, 0.255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22590*f**4*k*p - 60*f**3*k*p + 86*f**2*k - 2*k*p + 6*k + 830 wrt f?\nAnswer: 542160*f*k*p - 360*k*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 1)\/((-2)\/(-18)). Is i not equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2 + 4170*u - 859275.\nAnswer: 5*(u - 171)*(u + 1005)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hch when three letters picked without replacement from {q: 2, c: 2, h: 4, a: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.612 and -582005.66.\nAnswer: -582006.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98344*i + 7946 = 98207*i for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 times 300642?\nAnswer: -33671904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 345.\nAnswer: 345.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -1)*(-13 - (3 - 540)). Let k = -520 - p. Solve 3*x + k = 7*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwuh when four letters picked without replacement from wwhuuwuw?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*g - 3*g + 3*h, -4*h = 16. Let o be (4\/g)\/((-2)\/(-380)). Let w = -39 - o. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**2. Let h(z) = 2574*z - 414*z + 2548*z. Determine b(h(s)).\nAnswer: -66495792*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**11*m*m*m\/(((m**(1\/4)\/m*m)\/m)\/m*m)*(m\/((m\/m**(-1\/5))\/m))**(-16) assuming m is positive.\nAnswer: m**(39\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3331207 is divided by 203?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 1\/6*l**6 - 2\/3*l**4 - 2*l**3 - 11\/6*l**2 - 2\/3*l + 4 + 4\/15*l**5. Solve i(n) = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/492 and 163\/1857834.\nAnswer: 152342388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 52250?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 1. Let n be f(-3). Suppose -q = 4*x + n*q + 132, q + 99 = -3*x. Let p = x + 66. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5601633193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7131004 to the nearest integer?\nAnswer: 2670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.42259cm to kilometers.\nAnswer: 0.0003242259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10\/3 + 4. Let o be 168\/21 + 0 + (-7)\/((-546)\/(-612)). Which is the second biggest value? (a) t (b) o (c) -2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -103\/14 - -48\/7. Which is the nearest to 10? (a) 5 (b) 2 (c) 2\/7 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-9)*(-30)\/5. Solve -m = y, -y + q = -2*m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 360 = 23*o. Calculate the remainder when 477 is divided by o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15720 at least as big as 15720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 11*h = -912. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*g - 3*g. Let w(j) = 3*j + 4. What is w(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y - 6. Let j = -37 - -41. Let l be b(j). Suppose l*p - 2 = -3*t + 17, -2*t - 3*p = -6. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 2, v: 8}. What is prob of sequence jjv?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -1.8 (c) 1\/5 (d) -0.1 (e) 0.02249 (f) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, w: 10, h: 1}. Give prob of sequence wwwd.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1155 and -1155 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + (sqrt(1900) - (sqrt(1900) + (sqrt(1900) - sqrt(1900)*2))*4))**2 + (sqrt(1900)*2)**2*2*-4.\nAnswer: -58872 - 100*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5 + 522*d**4 + 5892*d**3 + 9720*d**2 = 0 for d.\nAnswer: -162, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 12:33 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26646.52 rounded to the nearest 10?\nAnswer: -26650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21552410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22140 and 85119444.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 - ((-5 - -3) + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1320 - 100414?\nAnswer: -44044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 10*w. Let t = 310 + -304. Let q(d) = d**2 - 6*d**2 - 3*d**2 + d**2 + t*d**2. Calculate r(q(z)).\nAnswer: -z**4 - 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + 76. Let b = -1367\/15 + 91. Sort 0.4, b, w in descending order.\nAnswer: 0.4, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(60)\/sqrt(160))\/(sqrt(4)\/sqrt(2)*-6).\nAnswer: -2 - sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12531*g - 848 = 12637*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665 > 3671?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -385480000 to the nearest 1000000.\nAnswer: -385000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 - 37 = -u. Sort 1, -3, 4, u in decreasing order.\nAnswer: 4, 1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 77*s**2 + s**3 + 77*s**2)*(-4*s**2 - 4*s**2 + 4*s**2 + 1).\nAnswer: -4*s**5 + s**3 - 52*s**2 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 41808 and 41799 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 660*x - 2830. Calculate o(4).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7544*l - 30174. Give k(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -276 divided by -138\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 8229 = -18*g - 8157 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1198 + 13*d**2 - 7*d**3 + 1164 + 2*d + 2*d. Let g be w(21). Let v = -26956 + g. Round v to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 33\/5 (b) -21 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 50.79765kg?\nAnswer: 50797650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**3 - 1 + 1)*(2*a + 3*a - 3*a + 0*a + a - 3*a + (3*a - 5*a + 4*a)*(2 - 3 + 0) + 17103 - 17103 + 2780*a).\nAnswer: 5556*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 10*t**3 + 465*t + 6. Let y(k) = 54*k**3 + 2326*k + 33. What is -11*d(j) + 2*y(j)?\nAnswer: -2*j**3 - 463*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 84\/491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -89434586, -89434590, -89434592, -89434586, -89434566, -89434526?\n\"Answer: d**3 - 5*d**2 + 4*d - 89434586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -362 + 356 - 266\/(-46)\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-45))\/(56\/(-42))*(-45)\/27?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/10049800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8417363 millilitres in litres?\nAnswer: 0.0008417363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 4379*c + 531750.\nAnswer: (c + 125)*(c + 4254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(5*((sqrt(121) - -2*sqrt(121)) + sqrt(121)) + sqrt(121)))\/(5*2*(sqrt(11) + sqrt(22)\/sqrt(2))))**2.\nAnswer: 43659\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let x(q) = 2*q - 2*q - 614*q**2 + 176*q**2. Calculate x(a(j)).\nAnswer: -1752*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2895 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -7*k**4\/34 - 76*k**3\/17 + 2908*k**2\/17 + 1680*k\/17 + 7044. Suppose v(a) = 0. Calculate a.\nAnswer: -30, -2\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:53 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 24 + 9*m**2 + 45 in the form o*m**2 + r + y*m and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1907438319971 take away 58?\nAnswer: -1907438320029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*p = 24, p - 3*p = 3*a - 14. Let j(y) = -21*y - 45. Let x be j(-7). Let d = x - a. What is the greatest common divisor of d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(832) + sqrt(832)*-1 + -2)**2*-4 + -4*(-3*sqrt(117)*-2 - sqrt(117))\/((sqrt(72) - 2*sqrt(72))\/sqrt(8)).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - x**2 + 2*x**2)*(17*x**2 - 28*x - 50*x + 54*x).\nAnswer: -34*x**4 + 48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -736167510*l**2 + 1552643354*l wrt l.\nAnswer: -1472335020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 4:38 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = b - 16, 4*b - 38*v + 21 = -43*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -43235471\nAnswer: 3\/43235471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 - 2*p**2 - 4*p - 1 - 3*p**2. Let l(s) be the third derivative of -s**4\/24 - 8*s**2 + 23. What is f(z) - 5*l(z)?\nAnswer: z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**5\/90 - x**3\/27 - 2*x. Let r(d) = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -49. Let f(y) be the third derivative of -y**6\/40 - y**5\/60 + y**4\/24 + y**3\/6 - y**2. Is f(k) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111562 (base 11) in base 13?\nAnswer: -62b5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1365564964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33912992?\nAnswer: 2, 293, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-2 + (-3 - -6). Calculate the smallest common multiple of ((-1)\/(-2))\/(y\/8) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -24 (b) -3 (c) 3 (d) -14.23 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - (-15)\/9. Suppose -z - 1607 + 570 = -x*a, -2*z = -10. What are the prime factors of a?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 - 4\/6. Let p = 2 + y. Suppose -2*c + p = -5. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*s**3 + 0*s - 22*s**3 + 57*s**3 + 0*s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = k - 63. Solve 3*s - 19 = 2*z, -3*z - 4*s = -2*z - k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a micrometer in nanometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9556, 19111, 28666?\n\"Answer: 9555*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u - 3. Let d = 1 + -3. Let y be x(d). Suppose 188 = m - y*m. Round m to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5db + -5?\nAnswer: 5d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 10*i - 12. Let a(y) = 2*y**2 - 9 - 17*y + 3*y**2 + y**i + 15*y + 0*y**3. What is the remainder when 24 is divided by a(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**7\/168 - b**6\/12 - b**5\/2 - 5*b**4\/3 + b**3 + 2. Let t(n) be the third derivative of m(n). Factor t(k).\nAnswer: -5*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*r, 5*k = 2*r + 19 - 4. Suppose -5 = 5*h + r. Let q = -2089.7 + 2090. Sort h, 0, q, 4 in ascending order.\nAnswer: h, 0, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.961 to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**3\/6 + 17*h**2\/2 + 47*h. Let i be g(-9). Solve 0 = 3*k + i + 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (0 + -10) - (-18)\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/32*((-14)\/(-63))\/((-10)\/(-60))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302 + 21321442?\nAnswer: 21321140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 696002\/151 - 4610. Let w = a + 21603\/10570. Find the common denominator of 45\/91 and w.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13 - ((-4)\/(-4) + -1). Let m = -9 - l. What is the units digit of 19 + (m - 0 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/11 + 51*a\/11 - 106\/11 = 0.\nAnswer: -53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1. Let c(d) = 8*d - 2. Let g(v) = -c(v) + 5*w(v). List the prime factors of g(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 185 - 122. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -4*i**3\/3 - 4*i**2 - 4. Find z such that a(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525198 (base 10) to base 16.\nAnswer: 8038e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from mmmmmmmemmmmeemmmem?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 484568 and 1270464.\nAnswer: 4072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 2, 5, -4, 60, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 3*x - 3. Let i be u(-5). Suppose -4*s + i = 4*c, s + 3*c = -c + 40. Let a = s + 36. What is the greatest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -20*y**3 + 17*y**2 - 11*y - 649. Let i(u) = 7*u**3 - 6*u**2 + 4*u + 216. Let j(n) = -17*i(n) - 6*p(n). Is j(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/5 (c) -107\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwuowww. What is prob of sequence wu?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 98 + 764 = 0. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 144911\/53 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 26*l + 7 - 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 - 164232*l - 2247679152 = 0.\nAnswer: -27372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/1849 (b) -0.9 (c) -12 (d) -1\/3 (e) 1\/2 (f) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 12.3012593\nAnswer: -4.92050372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/7 - (-5)\/(-35).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -614.85 + 615. Let f = 4.85 + -3.7. Let s = w - f. Which is smaller: s or 17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6048 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153*o**4 - o**2 + 4*o + 8242.\nAnswer: -612*o**3 - 2*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express y**3 - 6*y**2 + 326*y + 71*y - 423*y in the form a*y**3 + c*y + f*y**2 + q and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 430 divided by 37\nAnswer: 430\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k = -17*k + 632. Let n = -60 - k. Calculate the smallest common multiple of n and 3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*m + 28*m = 0. Which is the closest to -3\/4? (a) -0.3 (b) 2 (c) m (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 8*s**2 + 5*s. Suppose 0 = -4*o + 2 + 2. Let r(y) = y**2 - y. Let i(d) = o*j(d) + 5*r(d). What is the third derivative of i(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181 and 6061328?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8743340439.\nAnswer: 3, 1531, 634541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 r, and 2 f when four letters picked without replacement from {t: 1, u: 2, f: 2, x: 1, r: 1, w: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 431*v**3 + 25400*v**2 wrt v.\nAnswer: 2586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 189b60 + -7?\nAnswer: 189b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -30.9986. What is i rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/30 - t**4\/3 + 7*t**3\/6 - 2*t**2. Let l(j) be the first derivative of s(j). Differentiate l(m) wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3684014.\nAnswer: 2, 41, 44927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 547704641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(0*r - 2*r + 0*r) - 2 - 2*r + 2 + 13*r - 9*r - 13*r - 21 - 21*r + 21 in the form l*r + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 91037.12 millennia in centuries?\nAnswer: 910371.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 55, 46, 4, 4\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 12:28 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11)*j\/(j*j*j\/(j**(-11)*j)*j)*j\/j**(2\/7)*j*j**11*j*j)**(23\/5) assuming j is positive.\nAnswer: j**(3358\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 399. Let i(d) = -d**2 - d + 399. Let o(v) = -3*i(v) + 4*k(v). What is the tens digit of o(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(3 - 1) - -22. Let a = z + -15. Let p(g) = -2 - 6*g + 4 - a*g + 13*g + g**2. Let f(l) = 2*l**2 - 5*l + 5. What is 2*f(m) - 5*p(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-76)\/(-95))\/(-2*(-3)\/105). Suppose 54 - l = 8*m. Solve -m*j + 4*s + 26 = s, 2*j + 4*s = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/5)\/(q*q\/(q\/(q\/q**3)))*(q**(-1))**(2\/177) assuming q is positive.\nAnswer: q**(1052\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((42\/14)\/((-60)\/(-8)))\/((1155\/(-2250))\/(-77))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 2215?\nAnswer: 221.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.5, -10 in descending order.\nAnswer: 4, -0.5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u**(-4\/9)\/u)))\/(u\/(u*u**(-8))))\/(u*u*(u*(u*(u*u**(-1\/8))\/u)\/u)\/u*u\/(u*u\/(u\/u**(-5)*u)*u)) assuming u is positive.\nAnswer: u**(-1247\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.01 + -0.01. What is the second smallest value in z, -0.5, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muuuuuummuu. Give prob of sequence uumu.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**4 - 2602*c**3 + 55*c + 12 wrt c.\nAnswer: -24*c**2 - 15612*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -16*x - 30. Let a(k) = -25*k - 10. Let f(r) = -8*r - 3. Let m(l) = x*f(l) + 3*a(l). Let y(h) = -4*h**2. What is m(y(b))?\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/130)\/((-3)\/(-2))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*y - 3*v, -v + 25 = 3*y - 6*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 2*x - 2. Let j = 5 - 2. Calculate the least common multiple of 6\/(-6 + -3 + 10) and d(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1063 (base 7) in base 12?\nAnswer: -284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -542 - -1348. Let b = 809.79 - h. What is b rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66672 + 66665. Let n(s) = -s**2 + 6*s - 5. Let d be n(6). Let g(w) = -13*w**3 + 10*w**2 + 6. Let a(l) = 9*l**3 - 7*l**2 - 4. Give c*a(z) + d*g(z).\nAnswer: 2*z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m)**(-21\/2)\/((m\/m**(-1\/5))\/(m\/(m*m**(4\/5)\/m))) assuming m is positive.\nAnswer: m**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g. Let k(p) = 2*p + 587853. What is x(k(d))?\nAnswer: 2*d + 587853","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -238 + 487. Suppose 639 = 2*y - b. What is the highest common divisor of y and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1413\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express w**3 + 148 - 18 - 3*w + 507*w**2 + 4*w - 131 in the form h + z*w**3 + s*w**2 + b*w and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 533332, 533330, 533328?\nAnswer: 533326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10\/25)\/((-2)\/(-240)). Let v be (-8)\/14 + (0 - 844\/(-7)). Calculate the greatest common divisor of v and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2417238493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 17. Suppose -4*x = 20, -3*g + 2*x = 3*x - n. Find the second derivative of -h**5 + 0*h**2 + 9*h**5 + 5*h + 0*h**g wrt h.\nAnswer: 160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((999\/296)\/9)\/(15\/12)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 5 + -5 + -321 + 1. Let g = x - -341. What is the greatest common divisor of g and 475?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.4 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 173 = -221. Solve 38 - 34 = -y*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let g = 529 + -524. Which is the closest to m? (a) g (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144627, -289290, -433953, -578616?\nAnswer: -723279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000128148932 to 6 dps.\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 0.00277.\nAnswer: 0.20277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*g + 3. Let o be (-1 + 3)\/(g\/12). Solve -c = 2*c - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**3 + 19*o - 87*o + o - 18 - 27*o.\nAnswer: 21*o**3 - 94*o - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -29, -103, -259, -527?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from onbcgncbckbngng.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2. Let i(q) be the second derivative of -1\/6*q**4 + 0 + 0*q**3 - 3*q + 0*q**2. What is r(i(m))?\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.35.\nAnswer: 0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*v**5 + 22*v + 2*v**4 - 2*v**2 + 2*v**2 + 60*v wrt v?\nAnswer: 720*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/44902 and 29\/108.\nAnswer: 2424708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 7. Let p = 70 - 65. Suppose 0*j + 24 = p*j - 3*m, 4*j - 2*m = 18. Suppose j = -2*v + 13. Give a(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3))**(-2\/23) assuming l is positive.\nAnswer: l**(2\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b + 452 = 522 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2\/9 + 29943976*z\/3 + 628823300\/9.\nAnswer: 4*(z + 7)*(z + 22457975)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 1.9, 743 in descending order.\nAnswer: 743, 1.9, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1052*a**2\/7 - 4230*a\/7 + 88\/7.\nAnswer: 2*(a - 4)*(526*a - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c + 16*c - 15*c + 3*c**2 - 8*c**4 - 6*c**2 - 2*c**4 in the form n*c**3 + h*c**2 + w + l*c**4 + z*c and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - 1648\/(-544)*-4) + 7858\/34. Sort -3, -5, v in increasing order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/3, -1\/6, -18\/17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k + 66. Determine w(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p + 0*p)*(-135 - 49 + 127)*(1 - 5 + 17).\nAnswer: -741*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-70)\/(-21)*(5 + -2). Let q = 9 + n. Suppose -r - j + 93 = 2*r, 4*j = -3*r + 93. What is the remainder when r is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5788.\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -h**3\/3 - 3*h**2\/2 - 32*h + 43. Let m be n(-6). What is m rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 4 + -1 + 7 + -3 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**4 + 2*o**3 + 13*o + 124. Let c(j) = -2*j**3. Let t(w) = 2*c(w) + 2*m(w). What is the first derivative of t(i) wrt i?\nAnswer: -56*i**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96\/160*-2*(-7)\/((-2499)\/7).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from zjdzzddyjddd?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**5 + 2564*n**4 - 407020*n**3 - 1236484*n**2 - 1241632*n - 414736.\nAnswer: -4*(n - 322)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/2381? (a) 1\/7 (b) 17\/5 (c) -0.5 (d) -2 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 - -261. Let o = -51 + k. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74085202 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*j + 189*j = 69208 - 26424. Solve -j = -37*s + 21*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 d when four letters picked without replacement from hddhhddhdhhhhddhdd?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4 - (-153)\/(-6). Let p be (-15284)\/41886 + (-6)\/r. Let h = 2\/179 - p. Which is the second biggest value? (a) h (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2 + 17 = 5*g, 0 = -2*g + 3*l + 17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/41 - 97\/205. Suppose 2*n - 6 = -10. Which is the nearest to n? (a) m (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -237073333*5\nAnswer: -1185366665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 1 - 11, -y + q + 2 = 0. Let s(o) = -o**3 + 5*o**2 + 2*o + 4. Let b be s(5). Let i = b + 0. What is the highest common divisor of y and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1193905581 to the power of 1\/2, to the nearest integer?\nAnswer: 34553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7 + 4\/7*u**2 - 47\/7*u.\nAnswer: (u - 12)*(4*u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -20 - (2 - -2*2) - 4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b - 233 + 232. Let z = -66\/23 + 381\/253. Are b and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137816 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -268, -230, -170, -82?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.172 times -33177\nAnswer: 5706.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172*b**5 - 52*b**2*m**2 + 7*b*m**2 + 2112*m**2 wrt b.\nAnswer: 3440*b**3 - 104*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.2 + -11.2. Suppose 0 = 3*f - d - 2*d - 666, f = -2*d + 228. Let n be 4\/f - -1*1\/(-7). What is the closest to 1\/3 in r, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 850 and 12682.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6408\/(-1780))\/(756\/15)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -192 + 172 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9923257.\nAnswer: 17, 229, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-11) - (-16)\/88. Let f be (-2)\/6 + (-40)\/(-84). Which is the third smallest value? (a) -0.3 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**2 - 24*u + 6. Let j be o(-12). Calculate the highest common divisor of 12 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13335 + -827?\nAnswer: -14263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 x, and 1 d when four letters picked without replacement from dxdyxxdkxyyyfyyyy.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let g(i) = -5. Let w(r) = -8. Let a(u) = 3*g(u) - 2*w(u). Let n(y) = y + 2. What is c*n(o) + 2*a(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73.3 - 73.2. Let r = 125 - 122. What is the nearest to r in 0.3, -1\/4, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1469\/30 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4101 + -64. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + -2. Let c = x - -13. Let b be (-1)\/1*(c - -2). Put b, 0.2, 0.4 in decreasing order.\nAnswer: 0.4, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43114 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79386576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a. Let m(h) be the third derivative of -h**5\/30 - 5*h**4\/12 - 223*h**2. Calculate m(q(o)).\nAnswer: -128*o**2 + 80*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/2 - (-2 - -4). Solve -j - 2*j = y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v = -31*v + 345 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -797936, -1595870, -2393804, -3191738, -3989672?\n\"Answer: -797934*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 485 - 154. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l - v = 2*l + 13, -5*v - 25 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -1\/7, 1, 5, -74?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/53107 and 59\/207.\nAnswer: 477963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - 17 - -87) + -74?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 47. Let f be c(-19). Let l = f - -44. Find o, given that 16*o + 4*o + 22*o**3 - l*o**2 + 20*o**4 - 25*o**4 + 2*o**2 - 4 = 0.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233203034 (base 5) in base 16?\nAnswer: -105058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + -6. Let f = 23 + g. What is the closest to 0 in 2, f, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/87 - (-1 - (-152)\/3) and 0 - ((-74)\/8 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 20*i**2 + 41*i + 3. Let q be n(-9). Let w(g) = -2*g**3 + 19*g**2 - g + 3. Let r be w(9). What is the highest common divisor of q and r?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1582.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + z + 3*z)*(2*z + 4 - 4 + (2 + 1 - 4)*(0 + 0 - 2*z) - 2*z - 5 + 5 + (0*z - 3*z + 5*z)*(5 - 3 - 1) + 2*z - z + z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.1 (c) -2\/9 (d) -0.04 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7521, -8403, -9881, -11961, -14649?\n\"Answer: -c**3 - 292*c**2 + c - 7229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -489, 11, -2.\nAnswer: -489, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 5*sqrt(588) + sqrt(12))\/sqrt(4).\nAnswer: 37*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 3*t + 7, 0 - 1 = -2*o + t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1497, -1213, -945, -693, -457, -237, -33?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -151, -162, -175, -190, -207, -226?\n\"Answer: -t**2 - 8*t - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -50\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 1 + 1)*(l + 3 - 3)*(-2 - 2*l + 2).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqllllgggg. Give prob of sequence qlg.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9560 and 44570632.\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -14*k - 8. Suppose -v - k*v + 10 = 0. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 54. Let r be k(-8). Which is the fourth smallest value? (a) 2 (b) -1\/10 (c) -5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5178795*d**5 - 5790*d**2 - 36*d + 2 wrt d?\nAnswer: 310727700*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**7\/14 + 51*f**6\/10 - 147*f**5\/20 - 51*f**4\/4 + 25*f**3 + f + 128. Find l such that u(l) = 0.\nAnswer: -1, 0, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 5 + (-8 - -5) + 4 - (-170 + 154)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 - 7 - (-1 - -1). Suppose 2*r - 23 = -g*s, 125 = -r + 6*r - s. Factor 12*o**5 + r*o**3 - 14*o**5 - 22*o**3.\nAnswer: -2*o**3*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:27 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-350)*42\/4)\/((-49)\/392).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.319 (b) 4\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11474 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/3)\/w)\/w)**(-1\/79)*(w\/w**(-4))\/((w*w**(-1))\/w*w) assuming w is positive.\nAnswer: w**(1187\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31500 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (261\/(-232))\/(3\/(-24)). Solve -11*u = -14*u + z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q + 27 - 261 = 0. Let p(l) = l**2 - 2*l - 3. What is the smallest common multiple of p(5) and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 48*y**3 - 3*y**2 + 3*y - 88. Let n(o) = -143*o**3 + 8*o**2 - 8*o + 262. Let w(m) = 8*f(m) + 3*n(m). What is the first derivative of w(i) wrt i?\nAnswer: -135*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27839 - 35443 = 1849*s - 2446*s for s.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 254*z + 362*z - 351*z as c + x*z and give x.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 5, 0.5, 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 8*d - 7. Let l be q(-6). Let a be 2 + (2 - 2) + -2. Suppose -l*t - 10 = -a*t. Is -2 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/12 and 34\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 10039 = -37399. Calculate the highest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, -5, -2, 21\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3310348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4 = 0, -70*g - 3*n + 202 = -65*g. Solve -41*q = -g*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 623806 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-40))\/((-2)\/3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 393.292985 - 1047.293916. Let i = d - -654. What is i rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 817 + 1055 = -3*z, -s = 2*z - 618. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*5*(-2)\/(-2). Suppose -3*b = -h*a + 2*b + 1265, 3*a + 2*b = 784. Suppose -v = -3*v + a. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 45*z - 6. Let f be v(15). Let p = -190 + f. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 30018*n - 30015.\nAnswer: -3*(n + 1)*(n + 10005)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891689519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 21*g. Let x be b(7). Solve a + 1 - 4 = x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v + 5. Let k be w(-3). Suppose k = -0*l + l. Let o = 18 - -8. What is the highest common divisor of l and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -16, -6, 20, 68, 144?\n\"Answer: z**3 - z**2 - 4*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 10*l**2 - l - 4. Let y(k) = -k + 0*k + 5*k**3 - 7 + 0*k**3 + 21*k**2. Let z(g) = 7*u(g) - 3*y(g). What are the prime factors of z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27771649447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.069353\nAnswer: -0.0277412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3441 + 3444. Let f(g) be the third derivative of 0*g**4 + 0*g**5 + 0 + 0*g - 2*g**j + 11*g**2 + 1\/30*g**6. What is the derivative of f(v) wrt v?\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**8*p*p)\/p**2)\/((p**5*p)\/(p**(-2)\/p)) assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1143, 5, -2 in decreasing order.\nAnswer: 5, -2, -1143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202155?\nAnswer: 3, 5, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/13 - 7635076*c\/13 + 7286798190722\/13 = 0. What is c?\nAnswer: 1908769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*7*4\/112*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.317 - -131.683. Let q = t - 132.01. What is the smallest value in 5, 2\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 12*m. Let g = 8 + -11. Let t(h) = -13*h. Let c = 32 + -36. Let q(a) = c*x(a) + g*t(a). Find the second derivative of q(f) wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/468 and 32\/22059.\nAnswer: 1147068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 879, 1734, 2563, 3360, 4119, 4834?\n\"Answer: -r**3 - 7*r**2 + 883*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/110 and -81\/80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2389 smaller than 2389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 12 = -3*z, 2504 - 2514 = -3*t + z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55 - 20*i**4 - 5*i**3 + 2*i**3 - 2*i**3 + 8*i**3 with respect to i.\nAnswer: -80*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3764, -3624, -3488, -3356?\nAnswer: -3228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14283 = -6*r + 315. Factor 7*u**2 + u**4 + 0*u + 2428*u**3 - 3*u - r*u**3.\nAnswer: u*(u - 3)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**2 + 128*o - 297. Give w(-53).\nAnswer: -1463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -37622\/461?\nAnswer: -37622\/461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 50439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q = -70*q - 42 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 2 + 104 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -42*j**3 - 36*j. Suppose 0 = 2*x + 2*x - 76. Let w(k) = k**3 - 24*k**2 + k + 43*k**2 - x*k**2. What is n(f) + 36*w(f)?\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1498955 is divided by 103.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101023 - 3?\nAnswer: 101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**3 - 13*h**2 + 2*h + 18. Let a be j(6). Which is bigger: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*y + 1125 = 0, 3*y - 5 = 4. Suppose -2*o + 3*k - k + 160 = 0, 3*k - n = -3*o. Let s = o - -41. Calculate the highest common factor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1138880*j*u**3 - 2*j*u**2 + 357455*j*u wrt u.\nAnswer: 6833280*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070781 is divided by 169.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -76245 rounded to the nearest one thousand?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5953 + -5952.7441. Let t = -0.1439 - j. Let h = 0.4 + t. Round h to 5 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73004326 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1215) + sqrt(1215)*2 + sqrt(1215))\/(sqrt(3) + sqrt(6)\/sqrt(2)*4 + sqrt(3)))**2 + 3.\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68169, 136331, 204473, 272589, 340673, 408719, 476721, 544673?\n\"Answer: -a**3 - 4*a**2 + 68181*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -1.75.\nAnswer: 0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibacacaiaccacacic. What is prob of sequence ib?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 4. Suppose -s = -3*r + r. Solve 0 = -d + r, -2*n + d - 8 = -d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 divided by 12?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-904)\/1243)\/((-144)\/440).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**4\/4 - 2*t**3\/3 + t + 1989. Suppose -2*q + 1 + 1 = 0. What is l(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 3*b - 134, 2*o - o - 4*b - 27 = 0. Solve 0 = -3*w - 4*u - 4 - 1, 5*u = 2*w - o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:50 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r - 15 + 23*r**2 + 3 - 1 - 2. What is the tens digit of x(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10853.8 - 10854. What is the nearest to p in -684, -0.1, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfwfyw. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.3 + 1.18. What is w rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*w**5 - 2*a**2*w**2 - 2*a**2 - 6*a*w**2 - a*w + 2 wrt w?\nAnswer: -80*a**2*w**3 - 4*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnn. What is prob of picking 3 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuvyuruuvxxruxx. Give prob of picking 2 x.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8608306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 3*w**2 + 293691*w + 881128. What is l(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -362 and -1297304.\nAnswer: -1297666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -60800 rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210400917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17348 - 13546. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.529836977 rounded to 2 decimal places?\nAnswer: 1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*i**2 - 2*g**2*i - 15*g**2 + 50406*g*i**2 + 2*g + 2*i**2 + 5*i - 20 wrt i?\nAnswer: -2*g**2 + 100812*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/5)\/k)\/k)**30*k*k**(1\/3)*k*k*k**(-4))**(-39) assuming k is positive.\nAnswer: k**1898","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m\/m**7)\/m)\/m*m)**(-23)*(m**0*m)\/m**(-11))**(-50) assuming m is positive.\nAnswer: m**(-7500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 8*o + 371. Let q = o + 2496. Suppose -5*s + q = -3940. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*(2\/3 + (-2 - -1)). Let r = 451\/6 - 75. Let c = -10 + 18. What is the third biggest value in q, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -33 - 9. What is the highest common factor of c and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541515 (base 6) in base 13?\nAnswer: 3262a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 5*p + 5. Let z be b(-5). Suppose 2*m = z*m. Suppose 2*i - 14 - 34 = -4*q, 2*q - 5*i - 48 = m. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 14*h - 40. Determine z(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/1026*(-195966)\/(-3629)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63343994 by -5.\nAnswer: -63343994\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h - 3. Let k be y(-3). What is the tens digit of -3 - (2 - 354\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 272*o - 71 + 9*o**2 + 22 + 24 + 25 in the form a*o + u + l*o**2 and give a.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -28. Suppose x + j = 6*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/8 - (-45)\/(-10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -16870*h**2. Let z(a) = a**2. What is z(d(u))?\nAnswer: 284596900*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12123?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406163360*r + 2 + 406163291*r - 2.\nAnswer: -69*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 286*h - 473. List the prime factors of c(52).\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 44.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20)*-1*22\/11.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2011 - -868. Suppose -h + 10037 = 3*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.4 + -31.4. What is the nearest to t in 5, 3, 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -343 and -0.053596?\nAnswer: 18.383428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.65 - 7.7. Let z = 0.6 + -0.2. Let q = z - 3.4. Which is the second smallest value? (a) w (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*g + 40*g - 1960 = 0. Is g smaller than -492\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i. Let k = -17 - -19. Let p(y) be the third derivative of 1\/30*y**5 + 0*y**3 + 0 + 2*y**k + 0*y + 0*y**4. Calculate o(p(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 8*p**2 - 29.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 49*b - 220. Let o be x(5). Let n = 9 + 1. Calculate the highest common divisor of o and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5429, -5431, -5435, -5441, -5449, -5459?\n\"Answer: -d**2 + d - 5429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 194 or 8?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/1*8\/(-24)*(-424)\/106.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**3 - 20*b**2 - 16*b + 57. What is the least common multiple of 600 and h(9)?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3198 divide 1305254106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/((-8)\/(-36)). Calculate the remainder when (0 - 2*-1) + 8 is divided by (p + -6)*-1 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2474521 and 4316025.\nAnswer: 185589075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106986293 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3001314 (base 5) in base 11?\nAnswer: -32414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1426 + 1427. Suppose -d - 2*q = 2*q + 2, -8 = -2*d + 4*q. Let l(b) = b**3 + t + 2 + 6*b + b + 7*b**d - 2. Determine l(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8100?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/20 and -79\/394153336.\nAnswer: 1970766680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.5 - -7. Suppose 5 = 5*d - 15. Which is the nearest to 1? (a) r (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 9*l - 24. Suppose -2*q + 15 = q. Suppose -q*m + 4*r = 51 - 231, 0 = 4*m - 3*r - 144. Calculate the greatest common factor of m and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -20. Let u(b) = 7*b + 1. Is u(x) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and -67365062957?\nAnswer: 67365062956.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 3. Let u be h(-3). Let v = 24 + u. Is ((-9)\/v)\/((-2)\/40) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54840\/25 + (-3)\/5. Suppose -3*w = -4*f + a, -2730 - 18 = -5*f - 3*w. Suppose -f = -5*y - 164. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 2*w**2 + w. Let q be h(-1). Let c(y) = y - 1. Let r be c(3). Find the second derivative of -2*u - u**q + u**r + u - u**4 wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64 and 1230754.\nAnswer: -78768256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 106.3571\nAnswer: 425.4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sex. What is prob of sequence xe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3730 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8478\/(-11304)*16\/(-10)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/45*4\/72*15*(-10452)\/134?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18404, 36825, 55264, 73721, 92196?\nAnswer: 110689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270.7 - -271. Which is the nearest to -2\/3? (a) r (b) -4\/11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -138, -149, -174, -219, -290?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6340039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 122026223213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 111011?\nAnswer: 111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/138 and -27\/5656?\nAnswer: 390264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26218 + 29821.2. What is c rounded to the nearest 10?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/33)\/(2\/6). Suppose -6 = -n*l + 4*l. Let c be (l - -9 - 3) + -4600003. What is c rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*g + 6 = 57*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -23 (c) -0.3 (d) -0.011 (e) 27\/2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 4*g**2 + 4*g - 6. Let i be -10 + (3 - (-2 + 4)). Let v = i - -4. Let l be n(v). Is l > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/33)\/i**(-3\/8)*i**(2\/3)*((i\/(i\/(i*i**4)*i)*i)\/i)\/i)**1 assuming i is positive.\nAnswer: i**(361\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-18)\/(-5 + -4). Solve 30 = -y*u - 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-2)\/36. Let h = l - -2\/45. Which is the second smallest value? (a) h (b) 0 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 180 = 3*i, -a - i + 176 = 2*a. Suppose -v + a + 51 = 0. Suppose -112 = -4*r - 2*h, 0 = -2*r - 2*r - 3*h + v. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**19)**9 assuming m is positive.\nAnswer: m**171","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 22 - 23 + 25*t**2 - 2*t**3 - 24*t**2 - 4*t. Give j(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 3*z. Let l(o) = -o**2 + 4*o - 2. Let g be l(4). Let f be g\/1*(-2)\/10. Do f and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/7 + 72*v**3\/7 - 72*v**2 + 1056*v\/7 - 720\/7.\nAnswer: 3*(v - 2)**3*(v + 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 6*i**2 + 7*i - 3. Let y be g(7). Sort y, -16, 4 in increasing order.\nAnswer: -16, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 - 270553 + 2*z**3 + 270553 - 4*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4\/((u**(2\/5)\/u)\/u))\/(u*u\/(u*u\/((u\/(u*u\/u**(-1))*u)\/u))*u*(u*u**3)\/u))**(-18\/13) assuming u is positive.\nAnswer: u**(-324\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9*v - 44. Calculate the remainder when 28 is divided by j(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7867?\nAnswer: 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -600, -1889, -5406, -12267, -23588, -40485, -64074?\n\"Answer: -186*b**3 + 2*b**2 + 7*b - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 8. Find the second derivative of 4*g + 3*g**4 - v*g - g**4 wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 z when three letters picked without replacement from bkbkyybbykbyysszkuks.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.10765ms in minutes?\nAnswer: 0.0000851275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -537 plus 0.1?\nAnswer: -536.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 9*r + 79 = -5*j, -3*j + r - 54 = 0. Is j greater than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddwv when four letters picked without replacement from {d: 3, w: 1, s: 4, g: 3, v: 1, y: 3}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-1))\/((-384)\/96). Suppose 11*g - 18 + 7 = b. Solve -2*u - 1 = g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-40))\/(6\/12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*g**3 - 8*g + 11 - 13*g + 14*g + 6*g.\nAnswer: -24*g**3 - g + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j - 11992 = 34*j. What are the prime factors of j?\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 599 + -601. Let i be (42\/(-7) + 4)*c. Solve i*w - 5*y - 20 = -0*y, -4*w + 20 = -2*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8556 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.7 and -1210818.\nAnswer: -15377388.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -60?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -230, -4, 51 in ascending order.\nAnswer: -230, -4, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 4*w - 3 + w)*(55*w - 17*w - 14*w) to the form j + o*w + g*w**2 and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(175)*-3*-4 + sqrt(175))*-1 + -4 + 3)**2 + 0.\nAnswer: 260*sqrt(7) + 29579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 24*z**2 - 27*z - 47. Let a be s(-25). Solve -8*x = -a*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 51*m**2 + 66*m - 39. Suppose 0 = -0*o - 8*o + 16. Let l(x) = -4*x**2 - 5*x + 3. Let d(k) = o*h(k) + 27*l(k). Solve d(y) = 0 for y.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f = -v + 7, f - 5 = -2*v. Let h be 1\/3*2*v. Solve 5*t - 17 = 4*m, t - 3 = -h*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 8 = 11*n, -67*n + 69*n = -4*i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143.6 - 115.6. Sort -4, -14, n, 6\/5 in ascending order.\nAnswer: -14, -4, 6\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33421021 + 131?\nAnswer: 33421152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 2*z - 12, 2*z + 4 = 3*v - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4160 (base 15) to base 4.\nAnswer: 3113313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9766806 by 7.\nAnswer: 1395258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4776 or 14324\/3?\nAnswer: 4776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*c + i, -5*c - 2*i + 44 = -3. Solve 6*x - 9*x = c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13221.43012 rounded to the nearest 100?\nAnswer: -13200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 2*v - 3*f, -5*f + 9*f = -3*v + 257. What is the least common multiple of 6 and v?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223260 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228.9815 + -229. Let l = z + -0.4115. Which is the third biggest value? (a) -0.1 (b) 1\/4 (c) 2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6680, 6683, 6686, 6689, 6692?\n\"Answer: 3*q + 6677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 + 8*g - 7. Give x(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46431.\nAnswer: 3, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 84746 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnfnfnnnnnnfnnnfnnn. Give prob of sequence nf.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(72) + -3)**2*1.\nAnswer: -60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-5 - -2) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/(6\/(-488)) + (-32)\/(-48) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-5) + 1 + -4 - 6474\/(-390).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -264 divided by -93\nAnswer: 88\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i - 10. Suppose -270 = 13*a - 67*a. Determine t(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 402*t**5 - 10*t**3 - 3*t**2 - 64*t.\nAnswer: 24120*t**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**6\/1080 + o**5\/360 + o**4\/36 + o**3 + 4. Let d(l) be the third derivative of j(l). Factor d(z).\nAnswer: -(z - 2)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450808 (base 12) to base 5.\nAnswer: -240201133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p - 2701 = 137*p - 127*p for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0*w - 75*w**2 + 158*w**2 - 9*w - w**4 - 84*w**2 - 4*w to the form s*w**2 + t*w**4 + o + l*w**3 + z*w and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4558)\/(-946) - 4\/(-22). Let y(a) be the third derivative of 3*a**2 + 0*a - 1\/8*a**4 - 5\/6*a**3 - 1\/15*a**5 + 0 + 1\/120*a**6. Determine y(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2511\/1678 - -3\/839. Which is the closest to -48? (a) -1 (b) -2 (c) -3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*y - 98*y = 15. Solve y*s = -2*m - 8, -8*m + 3*m = 2*s + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-460)\/45 + (-4)\/(-18). Let o be (-445)\/(-25) - 2\/f. What are the prime factors of 14\/(-63) + 544\/o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.266 - -0.034. Let y = c + -11. Let w = -5 + 5. Sort y, -3, w.\nAnswer: -3, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.166012 millilitres?\nAnswer: 0.005166012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0 - 4*o + 0*o**3 + 0*o**2 + 1\/12*o**4. Let i(r) = -r. Let v(g) = 4*g. Let c(z) = 11*i(z) + 2*v(z). Determine c(x(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/25)\/p*p)\/p**(-13))**(-37) assuming p is positive.\nAnswer: p**(-12099\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - ((50 - (13 + -18)) + -10).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -2*p + 18. Suppose 5*q + p = 16. What is the first derivative of q*o**3 + 3 + 0 - 1 wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(48) + sqrt(3))) + 5)**2 + sqrt(6)\/sqrt(2) + 5 - 2*(-2*sqrt(300) + -2)**2.\nAnswer: -2330 - 199*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2458550?\nAnswer: 2, 5, 49171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1900*n - 716298. Give u(-377).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4199 - -4198.96027. What is r rounded to three dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 1 (c) 3 (d) -0.2 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 28 = 3*n, -2*n - 2 - 6 = 0. Suppose x + r = 3*f - 7, -5*f + 25 = -5*x. Which is smaller: -0.2 or x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*t + 20*t + 8*t + 31*t + 24*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 22 - 53. Let w = -37739 + 263644\/7. Let q = w - z. What is the closest to -1\/3 in 0, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 69437946151 and 4.\nAnswer: 69437946155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -88791115, -88791106, -88791097?\n\"Answer: 9*x - 88791124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, 0, 1, -5, 151, -9 in increasing order.\nAnswer: -11, -9, -5, 0, 1, 4, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 11:11 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 366 divide 15283062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1188\/77 - (-8)\/14. Suppose 50 = -g*a - 46. Let x(s) = -s**2 + 6. Let w(m) = m**2 - 5. Determine a*w(u) - 5*x(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m = 3*r - 12, -4*r = -16. Let c = m + 2. Suppose -c*u - 53 = -3*n, -7*n - u = -2*n - 84. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 5:38 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.29 times 686\nAnswer: 884.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**4 - 4 + 4 + (h**3 + 0*h + 0*h)*(h + 0*h - 2*h) + 15*h**4 + 528*h**2 - 528*h**2)*(-2*h - 2*h + 3*h).\nAnswer: -13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - o + 1. Let a(s) be the second derivative of s**4\/12 - s**3\/6 + 2*s**2 + 2*s - 68. Determine -a(d) + 4*h(d).\nAnswer: 3*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 + 7*a**3 - 7*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoo when three letters picked without replacement from {a: 2, o: 2, s: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31984304 or -6\/5?\nAnswer: -31984304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41172.7861 rounded to the nearest 1000?\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -63. Let l = o - -31.5. Which is the nearest to -2\/5? (a) -5 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((140 + -143)*(-2)\/(-4))\/((-6)\/104)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 643\/15?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/17))**(-44)*((m**(-2)*m)\/m)**6 assuming m is positive.\nAnswer: m**(-996\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -20 - 0. Suppose -y*o + 15 = -0*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 + 17*q + 20*q - 37*q + 0*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 2*t**2 + 8*t + 24. Give r(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 18*a = -23*a + 5, -n - 5 = 5*a. Solve n*u + 76 = 56 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*c + 12 = 0, -k + 5*c + 15 = 3*k. What is the nearest to 0.1 in k, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -548107, -1096260, -1644411, -2192560, -2740707?\n\"Answer: q**2 - 548156*q + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 smaller than 654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/45)\/(8\/50).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958?\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 16*z**2 - 42*z + 19. What is the tens digit of f(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 4*m**2 - 4*m - 6. Let d = 5 - 3. Suppose 5*c - 4*j + 28 = 0, 3*c + 8 = -j - d. Let u be o(c). Round u to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487631 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4360 is divided by 97.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401924 is divided by 1867.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-6)*s)\/(s\/s**10))\/(s**(-2\/31))**(-14\/9))**45 assuming s is positive.\nAnswer: s**(23575\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + 3 + -28 + (-56 - -34) + 49?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**5\/5 - 54*x**4\/5 - 478*x**3\/5 - 1242*x**2\/5 + 1944*x\/5 + 5832\/5 = 0.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**6\/60 + w**4\/4 - w**3 + 6*w**2. Let j(l) be the first derivative of i(l). What is the derivative of j(u) wrt u?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 18 + 8. Let c = 103 - k. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 4*d + 5*d)*(1 + 2*d**4 - 1) - 3*d**4 - d**5 + 3*d**4.\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10111 is divided by 3368.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2793836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3088 - -3092. Solve -5*o = c - 25, 7 - 27 = -4*o - t*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11207 is divided by 329.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 12 = -22*t. Put 13\/5, 5, 3\/4, t in increasing order.\nAnswer: t, 3\/4, 13\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (16 - 1 - 20) - (-2 - 55).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -10 - 0 - (4 - (2 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = -7*q + 5993. What are the prime factors of q?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5+57325.24\nAnswer: 57330.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -462204216?\nAnswer: -462204220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 301*w**2 - w - 3. Suppose -3*h = -5*b + 13, -5*b - 10 = 2*h - 9*b. Let x be u(h). Calculate the highest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2006 - -2008. Solve 3*a - v*m = -18, -9*a + 11*a = 2*m - 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 15*d - 30. Let q be t(-12). Let x(m) be the third derivative of -m**4\/24 - m**3\/3 - 9*m**2. Let h(c) = 6*c + 13. Give q*h(w) + 39*x(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3953209957?\nAnswer: 3953209957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - n - 43 = 0, -30*t + 8 = -28*t - 5*n. What is the remainder when 66 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000140777 to seven dps.\nAnswer: -0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7762301us in milliseconds?\nAnswer: 0.0007762301","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -743 - 438. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23599999)\/2 + (-3)\/6. What is a rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 3, -15 in decreasing order.\nAnswer: 5, 4, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2+-89301918734287\nAnswer: -89301918734289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 - 64*a - 2527. Let g be k(-23). Let o = 0 + -0.1. What is the closest to -1.3 in o, -3, -2\/5, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318379 is divided by 1027.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 8*i = -2. Let s be (-11)\/(0 - i\/1). What is the highest common divisor of s and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 5*t + v - 2*v, -3*v + 28 = -2*t. Let y be (-2)\/t + (-11860)\/16. What are the prime factors of 4\/(-14) - y\/21?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 3*i - 3 + 2*i + i. Let n be d(12). Suppose 2*x - x = n. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -3*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -4) + (1 - 0). Let z be (k - 2)\/(2\/(-1)). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4008, 7996, 11984?\nAnswer: 15972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r*r**4\/r*r))*r\/(r\/((r*r*r\/(r**(-2)\/r))\/r)))\/(((r**(1\/5)*r)\/r)\/(r*r\/r**(-2))) assuming r is positive.\nAnswer: r**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 0*t - 1\/2*t**2 + 1. Let s(h) = 3*h + 2*h - 4*h. What is w(s(m))?\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 10 = 11*m - 15*m, i = -2*m + 8. Solve 0 = 2*q - 4*k + 2, i*k - 2 = -6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4900, 6218, 2 in ascending order.\nAnswer: -4900, 0, 2, 6218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (104*f**2 - 5 + 128*f**2 - 173*f**2)*(-2*f + 0*f + 131 - 130) to the form g*f**3 + y*f + j*f**2 + c and give j.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5*z = 18, 4*m + 5 = 5*z + 3. Let d be (4 + 42\/(-8))*-4. Solve -m*v + 41 = 3*v - 4*u, 4*v = -d*u for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = 3*q. Suppose 0 = i - 0*i - 3*u + 8, q = -4*i + 3*u - 5. Which is the second smallest value? (a) 0.2 (b) 6\/5 (c) 0.3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*g**2*y + 106*g**2 + 3*g*y**4 with respect to y.\nAnswer: 8*g**2 + 12*g*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -1\/30*j**5 + 0*j**4 + 0 + 0*j + 30*j**2 + 0*j**3. Let g(a) = -16*a. Determine g(u(k)).\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 11*z = 120. Suppose 8*b - 2 = z. Solve 2*m = b - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 471249.8 millimeters?\nAnswer: 47124.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 88560*u**3 - 392232230*u**2 - 784198800*u - 392055125.\nAnswer: -5*(u + 1)**2*(u + 8855)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -963 or -967?\nAnswer: -967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 11. Let g = r + 14. What is the second derivative of 3*w**4 - 9*w**2 + 9*w**2 - 3*w - g*w wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133132 (base 4) to base 7.\nAnswer: 5605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92367622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7999 or -0.1313?\nAnswer: -7999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1843, -1467, -1105, -763, -447, -163?\n\"Answer: -m**3 - m**2 + 386*m - 2227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73.0085 + 0.0085. Let w = 3.5 + f. Round w to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**11*b**(1\/3)*b*b\/(b*b**(-12\/5)*b*b)*b*b\/(b\/((b\/b**(-14))\/b*b)) assuming b is positive.\nAnswer: b**(431\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.7 and -25497?\nAnswer: -323811.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((2 + sqrt(475) + -1 - (sqrt(475)*2 + 4)) + (3*sqrt(475) + -5 - (sqrt(475) - (sqrt(475) - 2*sqrt(475)*-4)))))**2.\nAnswer: -7200*sqrt(19) + 428076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188611.28us in days?\nAnswer: 0.000013757075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c - 24. Let x(n) = 11*n - 26. Calculate 4*b(o) - 3*x(o).\nAnswer: -o - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 866 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1325037?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151*a**3*t**4 + a**3*t**2 + 120*a**3*t + 5*t**4 + 14*t**2 wrt t.\nAnswer: 3624*a**3*t + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18\/((-4)\/3 - -2) is divided by 10\/15 - ((-80)\/(-3))\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2736) + (-2 + sqrt(2736))**2 + sqrt(2736))*2 + (sqrt(19) - (4*sqrt(228) - sqrt(228))\/sqrt(12))**2 + sqrt(171) + 2.\nAnswer: -45*sqrt(19) + 5562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 11*y**2 - 10*y - 20. Let j be p(12). Let v(b) = b**2 - 5*b + 5. What is v(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/10)\/(1\/(-10)). Let u be 1 - 5 - 22\/p. Which is the biggest value? (a) 5\/6 (b) u (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 2*m + 2. Let v = -285 + 287. Let g(d) = d. Let r(p) = -2*p**2 - p - 1. Let w = 57 - 54. Let h(i) = w*g(i) + r(i). Calculate v*u(s) + 3*h(s).\nAnswer: -4*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 6. Suppose -2*l + 4 = -0. Suppose 2*t - 5 - 7 = 3*p, -l*t = -p - z. Solve -n = t + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 18 = -2*b, -2 - 9 = -b - r. Suppose -3*d - 152 = -2*u + b, 4*d = -5*u + 382. Calculate the greatest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -476.28?\nAnswer: -482.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1994911 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 59*l - 60*l - 29, -5*l - 3*r = 60 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 228? (a) 1\/72 (b) 1\/3 (c) -4\/3 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 169 = -5*h, -3*r + 3*h - 129 = -r. Does 4 divide r\/48*(-8)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w + 2. Let z be t(4). Suppose -z - 1756 = -14*g. Let u = -111 + g. What is the greatest common factor of 128 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*14857.\nAnswer: -44571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w. Let g(u) = u**2 + 1. Let n(x) = 7*x**2 + 2. Let o(f) = 4*g(f) - 2*n(f). Calculate o(r(j)).\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45630 divided by 13.\nAnswer: 3510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 6*o - 1. Let a be (2 - 7)\/(-1 - 0). Let t be z(a). Let h = t + -4. Solve 4 = -2*m - h*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.7398551 to three decimal places.\nAnswer: -7.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -69. Let l(n) = 26*n**2 - 2. Let u be l(k). Suppose -23*v + 24*v - u = 0. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 6:25 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*b**3*d**2 + 3*a*b*d + 64304*b**5*d - 5*b**2*d**2 + 10*b**2 - 17*d + 5 wrt b?\nAnswer: 12*a*d**2 + 3858240*b**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, o: 9, h: 2, p: 3}. What is prob of sequence ohh?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10151787551655 + -0.2.\nAnswer: -10151787551655.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 850268 >= 5951868\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 58*n**2. Let p(r) be the second derivative of r**7\/2520 + 5*r**4\/2 + 13*r. Let m(d) be the third derivative of p(d). What is m(h(s))?\nAnswer: 3364*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**4 - 620*h**3 - 28*h**2 - 319969*h?\nAnswer: 84*h**2 - 3720*h - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5836390, 5836402, 5836414, 5836426?\n\"Answer: 12*o + 5836378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h**4 + 2*h**2 + 10*h**4 + 11*h**4)*(1 + 2 - 2).\nAnswer: 12*h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*t**3\/8 - 3801*t**2\/2 - 149565*t\/8 - 185925\/4.\nAnswer: -3*(t + 5)**2*(11*t + 4958)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -67161.08 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(6)\/sqrt(2)*-5).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -12*k**2 - 103*k - 47. What is o(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14*r - 10. Let g(m) = m + 22 - 38 + 6 + 9. Suppose -10 - 20 = -3*l. Determine l*g(t) - j(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -b74?\nAnswer: -b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43902 divided by -1626\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/15)\/(1\/5). Let w = 45 + -43. Which is the biggest value? (a) o (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.79 - -8.39. Let y = -5 - -2. Sort 4, n, y.\nAnswer: y, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9.5503479 and -8.8913?\nAnswer: 18.4416479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111 + -111?\nAnswer: 1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 367 - 8. Let p = u - -350. Let s(x) = x**2 - 17*x - 13. Let k(g) = -4*g - 3. Calculate p*k(y) + 2*s(y).\nAnswer: 2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6a2901 (base 13) to base 3\nAnswer: 11201222210211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 41*(3 - 2)*1. Suppose -k - 5*y + 1153 = 3*k, -575 = -2*k - y. What is the greatest common divisor of k and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23440927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + 12?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)\/sqrt(8) + -1 + (sqrt(7) - (sqrt(567) + 2 + sqrt(567)))*-1)**2.\nAnswer: 38*sqrt(7) + 2528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 + 102*i**2 - 20*i - 73. Let d be n(-43). What is the highest common divisor of 242 and d?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -715 times 2\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (-3*sqrt(8))**2)*5.\nAnswer: 10*sqrt(2) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -381 + 378. Let k = 0 - 0.4. Let m = -3.1 - -3. What is the second biggest value in t, m, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**3\/3 + r**2\/2 - r + 1595. Let v(x) = -x**2 - 3*x + 8. Give -3*n(f) - v(f).\nAnswer: -2*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -5*x + 5*x + 6*x**2. Let u(p) = 0*p - 9*p + 8*p. What is o(u(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*c - 150 = 65*c. Is ((-30)\/c)\/((-10)\/(-175)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z. Let x(y) be the third derivative of y**4\/24 + 5*y**2. Calculate x(i(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27937\/534 - -3\/178. Let g = f + -53. Let l = -4 - -6. What is the third biggest value in l, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3 - 3\/9. Let y be j\/(-3*1\/(-27)). Suppose -2*d + 14 = 2*c, y + 4 = 3*c - d. Is 2 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1119, -2239, -3359, -4479?\nAnswer: -5599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1015*n**6 + 16592*n**2 wrt n.\nAnswer: -121800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -8\/5 (c) 27\/13 (d) -4 (e) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56201 + 5?\nAnswer: 56206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -0.1, -0.97 in increasing order.\nAnswer: -0.97, -2\/19, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 35 = 3*v - 8*v, -40 = -5*v - 4*h. Let i(g) = -g**3 + g**2 + 2. Calculate the smallest common multiple of (-66)\/v*(-10)\/15 and i(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3989, -2\/179, 3 in decreasing order.\nAnswer: 3989, 3, -2\/179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 3326.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**0\/d)**(-2\/31))**(-18) assuming d is positive.\nAnswer: d**(36\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 + 0) - (-10 + 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, 0, -1 in decreasing order.\nAnswer: 2, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(42)\/sqrt(6) + sqrt(448) + -3 - (3 + ((-4*sqrt(252) + sqrt(252))\/sqrt(9))\/sqrt(4)).\nAnswer: -6 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, -694\/5, -0.3, 2\/117?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((11 + (-1 - 5))\/(-1))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 2, h: 9, j: 6}. Give prob of picking 1 w and 2 h.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -86628378 + 0?\nAnswer: -86628378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (315\/10)\/(-7)*20\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/64 and -121\/160.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 1, v: 1, n: 1, s: 2, e: 2}. What is prob of picking 1 s and 1 n?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/16 - (-17 - (-4734941)\/(-184)). Calculate the highest common divisor of k and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from xdbjdbdxdxb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/24)\/((-6)\/(-48)). Suppose 3*x = -3*q, q - 2*x - 8 = -w. What is the highest common factor of 38 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**3 - s**2 - 4*s - 2. Let y be u(-1). Suppose -2*z + i + 7 = 0, 21 = z - 11*i + y*i. Put z, -4, 2, -7 in decreasing order.\nAnswer: 2, z, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 3*m**2 + 0*m**2 + (0 + 0 - m)*(-2*m + 20 - 20) - 10*m**2 - m**2 + 2*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 42 - 23 = 10*y, 2*w - 56*y = 50*y - 102*y + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 5*u - 4. Let y be h(-6). Suppose -5*q + 49 = 4*o, -y*o + 3*o - 4*q = 7. Let v = -119 - -218. Calculate the greatest common divisor of o and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71102 or 69967?\nAnswer: 69967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1928.57 - 1873.3. What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-23 + 21)) + 11 + 11 + 1 + 87\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**3\/18 + 295*i**2\/4 - 442*i\/3 + 7745. Factor x(s).\nAnswer: -(s - 884)*(s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w**2. Let z(d) = -3*d**2 - 8*d + 3*d + 5*d. Let q = 59 + -49. Suppose 0 = 2*s + 4*v - 4, 0 = 5*v - q - 5. Give s*a(n) + 11*z(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127859 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**3 + 2*g - 2*g)*(21 - 152 - 49 + (-1 - 1 + 1)*(-1 + 3 - 4)) to f*g**2 + n*g**3 + a + r*g and give n.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3 - 973998*t**2 - 1461034*t + 6818028 = 0.\nAnswer: -7\/2, 2, 243501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 1223*s**3 + s**2\/2 - 1237*s - 9076. Find the second derivative of p(n) wrt n.\nAnswer: 7338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -968*t + 21918051 + 21918053 - 43836104.\nAnswer: -968*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y - 1. Let v(k) = -1. Let r(t) = -6*g(t) + 6*v(t). Let i be r(2). Suppose 2*f - i = -f. What is the highest common factor of f and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2910*d**2*m**3 - d*m**2 - 10*m**3 - 164*m**2 wrt d.\nAnswer: -5820*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7219 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.059557mm?\nAnswer: 6059.557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 31 = 4*o, -3*o + 3*r = -o - 7. Let i = 0.29 + -5.29. Which is the closest to i? (a) -0.1 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2294, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 57 = -n, -n = 2*b + 2*n - 31. Calculate the remainder when b is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 3 - 18*g**2 + 3.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95864, -95868, -95878, -95888, -95892, -95884?\nAnswer: -95858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 - 4192*m + 16780. Calculate q(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/96*(-240)\/(-45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from {k: 7, s: 5}.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7898 - 0.1898. Put -4, f, -0.5, -0.01, 1\/2 in increasing order.\nAnswer: -4, -0.5, -0.01, 1\/2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269*o**4 + 7 - 3*o + 87*o**4 + 3*o**3 + 89*o**4 + 5 + 96*o**4 to the form m*o + z*o**3 + h + a*o**4 + v*o**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1032 a factor of 278601901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-9))\/((20\/(-45))\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least -2375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {w: 2, i: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -b - 84, 5*b - 9 = -u + 3. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 i when three letters picked without replacement from {i: 1, h: 4, y: 1, a: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 56, -152, 2, 49 in increasing order.\nAnswer: -152, 2, 3, 49, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 438497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 363 and 1716?\nAnswer: 18876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 5*n - 474. Let j = n - 35. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 8*w - 6. Let q be d(-9). Suppose 0 = 4*z - u + q*u - 104, z - u - 23 = 0. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 2*o**4 + o**4)*(-2 + 0 + 0 + (-4 + 3 - 3)*(0 - 5 + 3)).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 24962224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 959.\nAnswer: 959.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-1) - -1)*-20. Let u be 2\/(-10)*s\/24. What is the closest to 1\/4 in 1\/3, u, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -61137 and -0.3.\nAnswer: 18341.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131023 - -1213?\nAnswer: -123210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 241320 and 240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104277229.\nAnswer: 7, 14896747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 57244\/23 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-33)\/429*(-65)\/(-10).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-87602.\nAnswer: -17520.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1051a (base 14) to base 15.\nAnswer: -ba30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1362651053429 - -30\nAnswer: 1362651053459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2186c0 + 3?\nAnswer: 2186c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 11616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199 - 205.88. Let h = 7 + j. Let g = 0.1162 - h. What is g rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66197 + -22569. What is the first derivative of 43628*y - 69 - 85*y**4 - k*y wrt y?\nAnswer: -340*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1177, 1179, 1181, 1183, 1185, 1187?\n\"Answer: 2*y + 1175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -44*y + 60*y. Solve y*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*q - 456, 0 = 3*q + q - 16. Let l = -23 - t. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -92*h**5\/5 - 391*h**3\/6 + 1064*h**2. Let a(r) = 17*r**2 + 6. What is -391*a(n) - 6*b(n)?\nAnswer: -23*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 842.7815 millilitres?\nAnswer: 0.8427815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -0.2, 11, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2322 (base 5) to base 11\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42839 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143 and 416?\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s**2\/7 - 432*s\/7 + 7776\/7 = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -9*w - 4. Suppose 6*c - p + 3 = 8*c, -p + 4 = 3*c. Calculate u(c).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 760721.4 centuries?\nAnswer: 76072140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 38 = -5*a, 4*h - h = 4*a - 19. What is the first derivative of 4*r**3 + a*r**4 + 2 - r**3 - 3*r**3 wrt r?\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*o = 3, 0 = 5*t + 5*o + 2 + 3. Determine d, given that 0*d - 2 + 2*d**t - d + 2*d**2 - d + 0*d**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2138, 1\/506, 69\/5, -0.1?\nAnswer: 69\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -137 (c) -8 (d) -5\/4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -21 (b) -0.02 (c) 5 (d) -3\/5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(171) + (sqrt(76)\/sqrt(4) - sqrt(19)) + -5)*6)**2.\nAnswer: -3240*sqrt(19) + 56304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3031288\/57 or 53179?\nAnswer: 53179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 603 = -4*x, 732 = -4*x - x + f. Let a = -12 - x. Calculate the highest common divisor of a and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - 29. Let i be (-2)\/(-12) + 15\/v. Is i != -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 8:19 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28955*38.52.\nAnswer: -1115346.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12097\/21 + (-6)\/(-21). Let m = -1171\/2 + w. What is the common denominator of 65\/(-7 + 0 + 1) and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 889 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/397 equal to -1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 - -3 - 1) + 189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -40*o + 122. Calculate the lowest common multiple of 2*(-10)\/(-4)*1 and a(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:56 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - 4. Let y = r - -16.6. Let s be ((-6)\/(-14))\/((-6)\/(-4)). Which is the nearest to 0? (a) s (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 13. Let a = 9 - z. Solve 5*y + 31 = -3*w, y - w = -0*y - a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {g: 1, v: 2, e: 2, b: 3, f: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-2 + 3)*1. Solve d*s - 6*s = -8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 127 + 17217*k - 17217*k + 125*k**4 wrt k?\nAnswer: 500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -7*l + 11. Let q(m) be the second derivative of m**3\/2 - 5*m**2\/2 + m - 1. Suppose 2*o - 3*o = -13. Let w = o + -9. Determine w*s(p) + 9*q(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 5 = 29*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1021 a factor of 151479644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 40*b + 1448. What is the smallest common multiple of 504 and i(-11)?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474028 (base 10) in base 4?\nAnswer: 1303232230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27414 is divided by 12933?\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f + 13*f**2 - 2*f**2 + 10*f.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7926807381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245 + -212. Calculate the smallest common multiple of d and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkkn when four letters picked without replacement from {k: 4, n: 6}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**2\/2 - f. Let i(o) = 3*o**2 + 2 + 1 - 1. Let l = 46925 - 46924. Calculate l*i(r) + 3*k(r).\nAnswer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**4\/4 - 4*t**3\/3 + 2*t**2 - 3*t + 406. Determine d(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.36 * 0.1\nAnswer: -0.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 39 = -a - 46, r = -4*a - 4. Suppose -39 = -2*p - 4*g + 3*g, -113 = -4*p + 5*g. Let d = p - r. Let h(c) = c - 2. Give h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -2 - (-2 - (-1 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*r - 4*r + 72. Let n be r\/6*15 + -4. Solve -3*k = n - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-2 - 0\/3). Solve -3 = -5*j - w, n*w = 3*j - 0 + 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in years?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2 - 187\/51\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5474787.\nAnswer: 3, 59, 30931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45729*v**5 + 5967*v**4 - 8*v**2 - 7359467*v.\nAnswer: -2743740*v**2 + 143208*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -363 (base 15) to base 13.\nAnswer: -471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2141240?\nAnswer: 2, 5, 199, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 625.079 weeks in milliseconds?\nAnswer: 378047779200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 14. Which is the second biggest value? (a) -1 (b) r (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7805653 is divided by 102705.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 11*h - 8*h - 3*h - 16*h**2. Let y(a) = a**2. What is q(y(g))?\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968321?\nAnswer: 968321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12007834 to the power of 1\/2, to the nearest integer?\nAnswer: 3465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*-5*(-8)\/(-400))\/(8\/(-50))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -416*x**3 - 29*x - 1522. Let z(r) = -r**3 - 6*r - 1. Let j(l) = g(l) - 5*z(l). Differentiate j(i) with respect to i.\nAnswer: -1233*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -3, -1, 3 in decreasing order.\nAnswer: 3, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1583, 1, -1, -2 in decreasing order.\nAnswer: 1583, 1, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcpu when four letters picked without replacement from klullpcgpllpkul?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**2 - 29*g - 1147 wrt g.\nAnswer: -4*g - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 39*n**2 - 3*n + 6. Let b be o(4). Suppose l + 5*l = b. Suppose -6*y**3 + 103 - 4*y**3 - y**4 - 25*y**2 - l = 0. Calculate y.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 571256 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/6)\/(41\/(-205)))\/(5\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -392339\/45 - -8719. Let w = -2\/45 - z. Which is the nearest to 1\/4? (a) w (b) -5 (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 0.1. Suppose 0 = -5*h - 24 + 19. What is the closest to h in 0.5, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1010, 2032, 3102, 4244, 5482, 6840, 8342?\n\"Answer: 4*m**3 + 994*m + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -3173492?\nAnswer: 952047.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 17*i + 7. Let m be q(2). Suppose 3*u = -2*c + 2*u + 133, u + 322 = 5*c. Suppose c + m = 2*d. Calculate the remainder when d is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i*v**2*y - 2*i*v*y - 15*i*y**4 + 25*i*y**2 - 2*v**2*y**2 + 2*v**2*y + 9*v wrt y?\nAnswer: -180*i*y**2 + 50*i - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5 - 71*a**4 + 1703*a**3 - 10485*a**2 + 14742*a.\nAnswer: -a*(a - 9)**2*(a - 2)*(a + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9717697172 - 0.4?\nAnswer: -10.3717697172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.3 + 6. Let c = -10.48 + 10.98. What is the second smallest value in 2\/5, -0.4, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 + 2*u**2 - 4*u**3 + 3*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - j + 9393 + 14488 = 0, -4*j + 39790 = -5*g. Let o = g + 15863. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 779 divided by -2.\nAnswer: -779\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -3, -2\/13, 5, -2\/219, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -16?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**4 + 237*h + 467*h**2 - 468*h**2 - 236*h - 79 to the form c + n*h**2 + u*h**3 + l*h + k*h**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, k: 1, c: 3, o: 1, u: 3, b: 5}. What is prob of sequence uoob?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 5\/22 (c) -122922\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/84)\/2*3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 3. Let x(a) = -3*a. Calculate -n(j) + 6*x(j).\nAnswer: -19*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -15*r**3 - 4*r**2 + 1. Let x(o) = -45*o**3 - 11*o**2 + 3. Determine 11*l(d) - 4*x(d).\nAnswer: 15*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 15 = -0*m. Suppose 3*c - 5*q + 25 = 0, c = 2*q - 3*q + m. Suppose c = y - 1 - 11. Calculate the greatest common divisor of 72 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2127 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -86.802521.\nAnswer: -87.002521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2579)\/7 - (7 - 3). Let x = 373 + s. What is the second biggest value in 5, -3\/20, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*i + 19 = -62, 0 = -4*o - 3*i + 97. Suppose 0 = -o*j + 21*j + 126. What is the highest common divisor of j and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-90))\/(0 - 30). Let r(v) be the third derivative of 0*v + 1\/36*v**4 + c*v**5 - 6*v**2 + 2\/27*v**3 + 0. Let r(t) = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(1\/2))\/x)**(-3\/7)\/(x**(-3\/7)*x)**(1\/4) assuming x is positive.\nAnswer: x**(1\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 9. Let r(y) = -y - 8. Let n(z) = 4*j(z) + 5*r(z). Let s be n(-9). Suppose s = 2*b - 3. Solve -u + 2*u = -b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*m - 10 + 0 + 8)*(0 + 0 + 2*m + (-5*m + m + 3*m)*(-4 + 4 - 1) - 3 + 2*m + 3 + 3*m - 9*m - 3*m).\nAnswer: 40*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 9*k**2 + k - 7. What is b(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2\/15)*k*k\/(k**(-14)\/k))\/(k**(-3\/13)*k*k**(-15)) assuming k is positive.\nAnswer: k**(6311\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 28 = 4*n, 490*n + 21 = 4*u + 491*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70.67 - -71. Let w = -657.23 - -657. Let v = z + w. Which is the second biggest value? (a) 1\/9 (b) v (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 + 1587\/16. Let t = z + 155\/112. Factor 2\/7*k - t*k**2 + 2\/7.\nAnswer: -2*(k - 1)*(2*k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -65. Suppose o*c = 21*c - 100. Let w = c + -17. Solve 4 = x - 3*x, -w*x = -d + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*(4*(sqrt(1900) + sqrt(1900) + 0 + sqrt(1900)) - 1*sqrt(1900)*4 - (-6*2*(0 + sqrt(1900)))**2)*2.\nAnswer: -2188800 + 640*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 12*a - 1. Give g(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(l + 2*l - 2*l) - 5*l + 5*l + 3*l + (-3 + 2 + 2)*(-15*l - 33*l + 9*l) + (-l - 1 + 1)*(3 - 2 + 0) + 0*l - 3*l + l as t*l + y and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1103*x - 6*x**2 + 1103*x - 4 - 3*x**3 to d*x**2 + p*x**3 + n*x + z and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3746\/33 - 1080\/11. Let j be (-63)\/91*4\/12*6493. Let u = j - -1496. Find the common denominator of d and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 112*g**2 + 5*g + 2. Let q be f(-3). Suppose 13*r = 14*r + q. Round r to the nearest 10.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166060 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 20*o + 42 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m\/(m\/((m*m**(-1\/2))\/m)))\/m)\/m))**(-1\/62)*(m\/m**3)\/m*m**1 assuming m is positive.\nAnswer: m**(-255\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*t**3 + 14*t**3 - 11*t**3 + 81*t**3.\nAnswer: 215*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17553301 is divided by 177306.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-2)*-2*(-19)\/399.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (326\/(-11736))\/(3\/(-60)*-5).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 330 is divided by 183.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 114 = -0*u - 4*y, 2*y = 5*u - 309. Let g be 1\/(-5) - u\/(-15). Suppose -5*n = -3*l - 78 - 77, -2*n = g*l - 36. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(3) - sqrt(300)*2).\nAnswer: -19*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41857 and 13990?\nAnswer: 585579430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/12 - (10 - 11). Let f(d) = -d**2 - 10*d + 5. Let t be f(-10). Let q be 2\/t*(-45)\/(-108). What is the closest to 1 in n, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-8)\/u**(10\/7))\/(u**(-1\/2)\/(u\/((u\/(u**(4\/3)*u)*u)\/u))))**(-6) assuming u is positive.\nAnswer: u**(277\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 242\/5. Let s = -21 + 5. Let v = s + -10. Which is the biggest value? (a) z (b) -1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hehezezheeezhzeez. What is prob of picking 1 h and 3 z?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53505973*o**3 + 62*o**2 - 1856041.\nAnswer: 321035838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 5*q + 2. Let n be 17\/4 + (-3)\/12. Calculate the lowest common multiple of g(n) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-3)\/(-72))\/((-3)\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/308 and -163\/106372728?\nAnswer: 106372728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2664 times 695\nAnswer: 185.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-13 + 35 - 21)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 - 14*p - 14*p + 2*p + 3*p**2 + 7*p.\nAnswer: -5*p**2 - 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 20 - (-19 + 33 - 20751)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5900 is divided by 1472?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -500 - -4?\nAnswer: -4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**2 - 29*i - 265. Let c be l(23). What is the highest common factor of 160 and c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -9. Suppose -51*l = -337 + 235. Factor -4\/9*p**l - 2\/9*p**o + 0*p + 0.\nAnswer: -2*p**2*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1. Suppose -3*u + 5*w - 7*w = 158, -3*w = 5*u + 265. Let v(f) = 4*f - 14. What is u*m(z) - 4*v(z)?\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -297910*l**4 + 14*l**3 + 89*l - 101990.\nAnswer: -3574920*l**2 + 84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 121102221 (base 4) to base 2\nAnswer: 11001010010101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 3, 0, -13, -39 in descending order.\nAnswer: 39, 3, 0, -13, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220, -2183, -5448, -10009, -15860, -22995, -31408?\nAnswer: -41093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.5 + 32. What is the nearest to 0.1 in 5\/2, y, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44598 and 44596 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j + 12*j - 76 = 0. Suppose 0 = -3*g + 2 + 64. Calculate the remainder when g is divided by (2 - 0) + j + (11 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142116, 142108, 142094, 142074, 142048, 142016, 141978?\nAnswer: 141934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 568*o - 28. List the prime factors of j(2).\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 - 8 - 2)*(-o + 1 - 1) + o - o + o + 4*o - o - o + (3 - 5 + 1)*(0*o - 3*o + o))*(-2*o + 11 - 11).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3566 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 22 and 43.61771?\nAnswer: 21.61771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.065939 to 4 decimal places.\nAnswer: 0.0659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-430)\/40 - -9) + 2\/((-56)\/(-45)). Suppose 4*k - 10 = 14. Let l be -5 + k + 6\/4. Which is the smallest value? (a) l (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105356 is divided by 105342?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 18*k**2 - 3*k + 175. Let l(w) = 11*w. Calculate t(l(i)).\nAnswer: 2178*i**2 - 33*i + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5))**(2\/59)*(v*v**15*v)\/v*v*v*v*v\/v**31 assuming v is positive.\nAnswer: v**(-659\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -6*j - 14. Let t be z(-6). Suppose -a = 7*n - 12, 14*n - 10*n - 4 = -2*a. Solve -5*f + t = n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3308*g = 3224*g + 1176 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 299236?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6763, 17, -1 in increasing order.\nAnswer: -6763, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189*j**6*v - 761*j**3*v + 73976*j**2*v - 9*v wrt j?\nAnswer: 22680*j**3*v - 4566*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wil when three letters picked without replacement from {w: 3, j: 4, i: 1, l: 1, v: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -177.2 from -1.\nAnswer: 176.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from bobgtmu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -5) + 29 + 6.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**3\/3 - 78272*l**2\/3 - 3691432*l = 0.\nAnswer: -38994, -142, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 849.0831 litres in millilitres?\nAnswer: 849083.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 816396*c - 83312803602.\nAnswer: -2*(c - 204099)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.1974 - -3.2481. Round x to 1 decimal place.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 93 = 5*w + 43, 2*w = 2*m - 92. Calculate the remainder when 138 is divided by m.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 200, 534, 868, 1202, 1536, 1870?\n\"Answer: 334*g - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35, -0.01, -2, -345, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/5)*v**14)\/(v*v\/v**(-6)*(v**(-8\/7)*v)\/v*v) assuming v is positive.\nAnswer: v**(236\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 8, -z + 2*i = z + 32. Let f = z + 49. Let p = 45 - f. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rif when three letters picked without replacement from {o: 6, i: 4, r: 4, f: 1, m: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77*c*r*x**2 - 5263*c*r*x - 148665*c*r + c*x - 2*c + 96*r wrt x?\nAnswer: -154*c*r*x - 5263*c*r + c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/13)\/(6\/108). Let d = 136\/117 - m. Let x = 2.91 + 1.09. Which is the nearest to 0? (a) x (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*v + 3*v + 3*v)*(-2 + 0 + 0) - 2 - 3*v + 2)*(7 - v**3 - 7).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 509 + 319 = 0. What is the remainder when f is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(98)*5 + (sqrt(98) + 1)*-4 + -1.\nAnswer: -5 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 105 = 3*w + 114, 5 = w + 3*p for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 6*w. Let a(l) = l**2 - l. Let i(h) = a(h) - p(h). Let d be i(4). Suppose -d*v + 57 = -v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/1710 and -74\/20691?\nAnswer: 206910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1786914, 1786895, 1786874, 1786851, 1786826, 1786799, 1786770?\nAnswer: 1786739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/24*4\/(-30))\/((-4)\/(-64)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 90*o**3 - o**2 + o + 3. Let w(k) = -k**3 - 2*k**2 - k - 5. Let g be w(-2). Let i be b(g). Is (i + 13)*1\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 696 + -17. List the prime factors of n.\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1883 + 1878. Let l(q) = -6*q - 6. Let r(v) = -v. What is w*r(m) + l(m)?\nAnswer: -m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157 - -165. Suppose -k*h + 122 = -534. Is 36 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 16*t - 34 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -1003.9.\nAnswer: 100.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - x = -287 + 958, 3*c - 5*x = 691. What is the remainder when c is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 6 = 2*f. Let b = 815 - 806. Calculate the remainder when f\/(-4) - (-117)\/4 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + v. Let z(q) = -8 + 3*q**2 + 4 - 1 - q**2 + 3. Calculate -3*j(y) - z(y).\nAnswer: y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -13036\/7 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.797242 to two decimal places.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b - 2. Suppose 3*w + 180 = -3*y, 5*y - 3*w + 100 = 3*y. Let c = -59 - y. Let h(k) = 4*k + 2. Give c*h(t) - 2*z(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(1\/10)*l**(2\/11)\/l*((l\/l**6)\/l)\/l assuming l is positive.\nAnswer: l**(-3429\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -1. What is the remainder when k is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 - -110010011100?\nAnswer: 110010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 723406000 divided by 304.\nAnswer: 2379625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -25*x + 2. Let a be j(1). Let z = 18 + a. Let r(n) = -n + 4. Let i(m) = m - 2. Calculate z*i(w) - 2*r(w).\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -72*d - 246. Let w be p(7). Let f = 757 + w. What is the least common multiple of f and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.5723909 minus 1?\nAnswer: 102.5723909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437810?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*u + 11*u**4 - 20 + 128*u**2 - u**4 - 44 + 76*u**3 + 40*u**2.\nAnswer: 2*(u + 2)**2*(u + 4)*(5*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3673 + -0.1673. What is the nearest to 8 in -5, u, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 60\/(-70)*35\/(-15). Find the third derivative of -4 - 340*o**4 + 494*o**4 - 12 + 6*o**2 - 8*o**m wrt o.\nAnswer: 3696*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1086124.5 months?\nAnswer: 90510.375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-760)\/10640).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87527 and 3566123.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*-1*(-5*((sqrt(187) - (sqrt(187) - sqrt(187)*-2)) + sqrt(187)))\/((sqrt(88)*-2 - sqrt(88))\/sqrt(8))*-5.\nAnswer: 2 + 50*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*p**2 - 3346*p - 162*p**2 + 1671*p + 1675*p.\nAnswer: -231*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 20, 3*l - 74 = 3*x - 4*x. Suppose -l*v = -21*v - 80. Solve -4*o + n - 2 = -5*o, 2*o + 5*n = v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*v**4\/13 - 96*v**3\/13 + 8*v**2 - 32*v\/13.\nAnswer: 2*v*(v - 4)*(3*v - 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4\/15, -2\/31, -2\/11, -30?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -17, 93 in decreasing order.\nAnswer: 93, 5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1788.7312 less than 0.637?\nAnswer: 1789.3682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/12 - q**3\/6 - 19*q. Let v be o(1). Which is the fourth biggest value? (a) -2\/7 (b) 3 (c) v (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7839831506?\nAnswer: 2, 13, 37, 1531, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6841 + 11780. Suppose f = 6*c + 5*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 118 = -3*x + 124, v = 5. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7026, -7091, -7066, -6843, -6314, -5371, -3906?\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 7*k**2 + 2*k + 55. Let c be s(8). Solve -2*m + c*m = -25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahaa when four letters picked without replacement from hahhaaa.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 8. Is (-3 - -89)\/j + 1 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 117425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 6. Suppose 6 - b = j. Suppose j*c - 68 = 32. What is the highest common divisor of c and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.32666 kilometers in meters?\nAnswer: 78326.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 + 5)*1*-5. Let f(a) be the second derivative of 5\/6*a**3 + a**2 - a - 1\/30*a**6 - 1\/20*a**n + 0 + 1\/4*a**4. Factor f(u).\nAnswer: -(u - 2)*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41601.\nAnswer: 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.2, -1\/3, -0.4, -17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 2*c + 8 - 31, 3*c = -249*r + 252*r + 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 156 + 5?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -3*q**2. Let n(c) = 107*c**2. Give v(n(m)).\nAnswer: -34347*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6052808099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54136 (base 9) in base 8?\nAnswer: 105773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 4, 0.89, -2\/5 in descending order.\nAnswer: 4, 0.89, 2\/11, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/4 + 11*p**4\/24 - 7*p**2 - 7*p. Let s(t) be the first derivative of n(t). What is the second derivative of s(l) wrt l?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*h - 7. Suppose -56 = -2*p - 4*a, h*p - 2 = 3*p - 4*a. What is the lowest common multiple of 8 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 43\/((-301)\/(-84))*(-1)\/21. Let u = -16\/5 + 53\/15. Let p = -0.25 + 0.05. Sort -2, p, u, b in decreasing order.\nAnswer: u, p, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from {u: 6, v: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 4*i**2 + 20*i + 31. Let k be c(-5). Let d be 11\/(-3) + -9 + k\/18. Let u be 4 - (-2 - -4 - 2). Sort 5, 0, u, d in descending order.\nAnswer: 5, u, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 19272 - 12502 + 3*w**2 + 1722*w - 10226 = 0. Calculate w.\nAnswer: -576, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -62, 50 in descending order.\nAnswer: 50, 2, 0, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from grmmlmgtgdd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c**(5\/2))\/(c\/(c\/c**(-7))*c**0\/c)*(c**(-2))**(1\/24)\/(c\/(c**(1\/2)\/c))**(-1\/14) assuming c is positive.\nAnswer: c**(347\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + w + 6. Suppose -4*a + 0*a - 5*r + 35 = 0, w*a = r + 7. Let b = 9.3 - 8.8. Sort -3\/5, b, a in descending order.\nAnswer: a, b, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ur when two letters picked without replacement from {r: 3, u: 12}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/18380942?\nAnswer: -3\/18380942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4361*q**3 + 1646*q**2.\nAnswer: 26166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4387 - -6777. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100122010 - -102111?\nAnswer: -100012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7711.83881 + 3.\nAnswer: -7708.83881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24223 and 7035134681?\nAnswer: 7035110458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216 and 349182576?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - v + 7 = 0, 2*v - 1 = -7. Let f be ((-5)\/k - 2)\/(7\/(-4)). Let b = -0.06 + -4.94. Put 1\/4, b, f in ascending order.\nAnswer: b, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3 + 6*a**2*w**3 + 164*a**2 + 7308*a*w**3 wrt a?\nAnswer: 6*a + 12*w**3 + 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14528.98 - 14529. Which is the smallest value? (a) 0.22 (b) 2 (c) -3 (d) 11 (e) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0, 2\/9, -0.2, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5 - ((192\/304)\/(-6) + 768\/(-285)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742*d - 6312 = 93*d - 47848 for d.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 - 30172?\nAnswer: -3018b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79422047\/582060 - 2\/29103. Let w = -2158\/15 - g. Find the common denominator of (-4)\/(-6) - (668\/(-48) - -4) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -5, -40, -73, -104, -133, -160, -185?\n\"Answer: u**2 - 38*u + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 13*p**2 + 485*p + 23. Determine l(-16).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23073*j + 21*r = 23069*j + 22, 3*r - 16 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d**1)))\/d)**(-21)\/(d**(-1))**(9\/2) assuming d is positive.\nAnswer: d**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6743570 is divided by 69.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*j + 596*j - 221*j - 162*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7475812667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from bbtbbhbhbbht.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 186 (b) -7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1211*g**2*m - 4*g*m**2 + 963*g*m - 4243717*m**2 with respect to g.\nAnswer: -2422*g*m - 4*m**2 + 963*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*m**2 - 90*m**2 - 2 - 3*m**2 + 40*m**2.\nAnswer: -13*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1099862007?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 53*(-2)\/(-6) - (-38)\/114. Calculate the highest common divisor of 3222 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 3*o - 2*o)*(-3*o + 3*o + o)*(-8*o - 4*o + 0*o).\nAnswer: 96*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/14))**(-35) assuming x is positive.\nAnswer: x**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**9*r\/(r\/(r**(-6)*r))*r assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07386 * 5.\nAnswer: -0.3693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -102759 - 327.56\nAnswer: -103086.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7367 - -11423. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + (5 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -574342*r**4 + 54183*r + 1 wrt r.\nAnswer: -6892104*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (10506\/8755)\/((-30)\/(-2))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -91560 rounded to the nearest one thousand?\nAnswer: -92000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + ((-31194)\/(-11) - 28\/(-154)). Let o = 1537 - g. Let a = o + 2836. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 - 139637*b**2 - 4874692760*b - 4874553124.\nAnswer: -(b + 1)*(b + 69818)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = j. Let s(g) = g**2 + 17*g + 74. Let o be s(-8). Suppose l - 3*l = j*d - 18, 4*l = o*d + 20. Solve 2*y = l*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15479008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6392 = 229*c + 406*c + 3996 + 8662 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = k - 16. What is the highest common divisor of 108 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, w: 2, x: 3, q: 4}. Give prob of sequence xwo.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, c: 1, j: 1, a: 1, v: 5}. What is prob of picking 1 b, 1 v, 1 c, and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24366 and 1225.\nAnswer: -29848350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a. Let q be o(1). Suppose -12*x + 85 - 1 = 0. Solve -q*t - 32 = -x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = p - 17. Let u = 133 + p. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 0 + 2\/7*j**2 + 38\/7*j = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125032687.\nAnswer: 13, 463, 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*(-1 + sqrt(76) + -4 + sqrt(76)) + (sqrt(76) - (-4 + -2*sqrt(76) + sqrt(76)))*2))**2.\nAnswer: 5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 1. Let r(w) = -2*w**3 - 7*w**2 - 7*w + 1. Let q(f) = k(f) - r(f). What is the remainder when q(-5) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2320561451 to the nearest integer?\nAnswer: 48172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 5, q: 4}. What is prob of picking 2 q?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 23*l**3 - 17*l**2 - 17*l + 20. Let f(i) = 8*i**3 - 6*i**2 - 6*i + 7. Suppose -22 = 3*r + v, -2*r - 18 = -r + 3*v. What is r*z(h) + 17*f(h)?\nAnswer: -2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*w = 3491 - 2274 + 7463 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23\/6*p**2 - 17\/3*p - 7\/6 + 2\/3*p**3 = 0. What is p?\nAnswer: -1, -1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 103\/((-55517)\/616)*126\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5536, 11075, 16612, 22147, 27680?\n\"Answer: -w**2 + 5542*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -92, -337, -746, -1319, -2056, -2957, -4022?\n\"Answer: -82*b**2 + b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1053) + -1 + -1*sqrt(1053) + sqrt(1053))**2 + (2*(2*sqrt(1053))**2 - (sqrt(1053) - (-2*sqrt(1053) + 0))).\nAnswer: -63*sqrt(13) + 9481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -35356.\nAnswer: -14142.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -55119\/5 or -11025?\nAnswer: -55119\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -29064*o**3 + 32*o**2 - 32*o. Let l(s) = -2642*s**3 + 3*s**2 - 3*s. What is -3*b(q) + 32*l(q)?\nAnswer: 2648*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 + 0.4. Let w = 1 + n. Let g = 49\/6 + -20\/3. What is the nearest to w in g, -2, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-1980) - 4\/22. Let g = -1.571 + 1.6. Let p = g + -0.029. What is the third biggest value in 2\/9, a, -2\/7, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799364935 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114887228*k**3 + 322669728*k**3 - 63301600*k**3.\nAnswer: 374255356*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/10 and ((-15)\/40)\/((-12)\/(-200)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41\/36 + -7\/18. Suppose 32 - 47 = -3*s. Solve 3\/2*d**s + 0 + v*d**4 + 0*d**2 + 0*d + 0*d**3 = 0 for d.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -9*z**4 + 168*z**3 - 582*z**2 - 1032*z - 273 = 0.\nAnswer: -1, -1\/3, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 795 divided by -3.\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/8 (b) 3\/5 (c) -0.18209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 3*m - m)*(-1501 - 483 - 1044) - 3 - m + 2 + 0.\nAnswer: -3029*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*t - 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) -47 (c) -3\/5 (d) -5 (e) -23 (f) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139\/1190 - 2\/119. What is the second smallest value in 1\/3, -3, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -504 - -21262?\nAnswer: 20556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a century?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 17*r + 6. Calculate the remainder when r is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -5.152244.\nAnswer: -2.576122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (39\/2)\/(1\/(-2)). What is the remainder when 21 is divided by d\/6*-2 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 - 82 + 202)*(2 + 6*j - 2).\nAnswer: 210*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + 1 + 8\/(-2). Solve r + v = 5*f - 1, -3*r + 12 = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/6)*z**7*z*(z**(2\/7))**(-2\/45) assuming z is positive.\nAnswer: z**(5137\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 - -57. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12125787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1900*x + 96*x**3 + 3*x**2 - 1901*x - 4 - 88*x**3 to f*x**2 + g*x**3 + a + u*x and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 19*a + 11*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -937\/11. Let m = 112\/15 - 23\/3. Which is the second smallest value? (a) m (b) 0.1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1267, -1411, -1555, -1699, -1843?\n\"Answer: -144*l - 1123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 4:53 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -386.9 and -3.21727.\nAnswer: -390.11727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*n + 37 = 0, 5*f - 29 = 3*f - 3*n. Solve 0 = 3*m + m - f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3287 times -37.7175?\nAnswer: -123977.4225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4208*(-49)\/5488 - 34.\nAnswer: 25\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 3, -2*k - 3*f + 141 = 0. Suppose -404*n + 34300 - 11008 = -21148. What is the highest common divisor of n and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12324 and 663?\nAnswer: 209508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1851 divided by 2153?\nAnswer: -1851\/2153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1029 - 516 - 516 = 3*s, -2*q + 3*s + 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 12 = 2*f - 81, g + f = 23. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -83 - (1 + -5 - (1198 - 1220))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -599*o**5\/60 + 88*o**4\/3 - 747*o**2. What is the second derivative of s(d) wrt d?\nAnswer: -1198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r**(3\/5)*r))\/(r*r**3*r))\/(r**1\/r*r**(-7))*(r*r\/(r*(r**0\/r*r)\/r*r)*r)**(-19\/4)*(r\/(r*r**(-1\/2)))**(-2\/11) assuming r is positive.\nAnswer: r**(-791\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(2*x + 1 - 1) + 4*x + 2*x - 7*x - 3*x + x + x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*g - 100*g**3 + 1030*g**3 - 933*g**2 - 54*g wrt g.\nAnswer: 5580","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*y + 3*m, -2*y + 11 = 3*m - 0. Find the first derivative of -b**3 - y - 10 - 9*b**3 wrt b.\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a day?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 - -3. Suppose 0*q = 2*q - 4. Let n = -1216295 + 1216289. Sort 3, f, n, q.\nAnswer: n, f, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 4*o - 8. Let s(l) be the third derivative of l**5\/15 - 7*l**4\/24 - 5*l**3\/2 - l**2 + 94*l. Determine -11*n(c) + 6*s(c).\nAnswer: 2*c**2 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pssppsss?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 134 - 151. Let y(b) = 5*b + 14. Let g(o) = 14*o + 43. Give q*y(w) + 6*g(w).\nAnswer: -w + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*k + 78 = 79*k + 466 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1599*b + 834*b - 1750*b - 949*b in the form j + v*b and give v.\nAnswer: -3464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}