diff --git "a/data/dm_maths/full_data/9058_11255.jsonl" "b/data/dm_maths/full_data/9058_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/9058_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the remainder when 56114 is divided by 1345.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 198 - 1?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4815 + 0?\nAnswer: 4815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/140*(-28)\/16. Put -0.006, 0, z, 6\/13 in increasing order.\nAnswer: -0.006, 0, 6\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2173*d**2. Let g(n) = -187*n. Let w(p) = -104*p. Let u(k) = -10*g(k) + 18*w(k). Calculate z(u(m)).\nAnswer: 8692*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**4\/2 - 26*l**3\/3 - 5*l**2. What are the prime factors of t(-19)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17087656?\nAnswer: 2, 2135957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 + 6*n + 7. Let t be m(-2). Suppose -3*h - 2*d = -d - 4, h = -d. Suppose h*c - 64 = -t*l + c, l - 18 = -c. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4016393994111 take away 0.013?\nAnswer: -4016393994111.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*sqrt(13)*-3*-3.\nAnswer: -54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*j**5 - j**2 + 3*j**2 - 430*j + 430*j wrt j?\nAnswer: -600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10a (base 11) to base 13.\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 31325 = 14*f - g, -12 = -4*g. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 82960 and 2389248?\nAnswer: 11946240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 5*w + 2. Suppose -9*k - 1647 = -0*k. Let q = 186 + k. Determine u(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/63)\/((-2)\/(-1*6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 364817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**3 + 4*g + 3*g**2 + 2*g**2 - 1 - 2*g**3 + 2. What is the units digit of k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -365 - b?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -3 - -3)\/(-1). Let f(s) = -s - 4800. Let d be f(l). Round d to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18691 (base 11) to base 7.\nAnswer: -136065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -24. Suppose -k*i - 60 = -5*f, -2*f - f = -5*i - 44. Is (-5 - (4 - f))*-11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4271\/127 <= -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1478072464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-728)\/(-32) - (-385)\/308?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/((-30)\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 13, 3\/2, 0.4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -3*j**4\/4 - j**2 - j + 2. Let n be h(-1). Let t(b) = 3 - n + 2 - b + 4*b. Calculate t(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58\/3 - -19. Which is the nearest to -1\/4? (a) -4 (b) z (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 46585*c = 46588*c + 12, -4*c = 2*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 13398.\nAnswer: 66990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5358, 10713, 16068, 21423?\n\"Answer: 5355*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 20*b**2 - b + 24. Let o be u(20). Calculate the common denominator of (253\/66)\/((-54)\/o) and -49\/54.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 550*w**2 + 546*w**2 + 552*w**2 + 4 - 1654*w**2.\nAnswer: -6*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-8) - 2 - (-4)\/6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 7) + (-1 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13d + 492?\nAnswer: 5cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 - -0.6. Let h = 3316.13 + -3317.629935. Let f = h + u. What is f rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -12, -35696, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449829?\nAnswer: 3, 151, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7783331 litres in millilitres?\nAnswer: 778.3331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(2337 - 64*o + 2368 - 4681).\nAnswer: -128*o + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(170)*-2 - sqrt(170)) + sqrt(170)))\/(sqrt(100)\/(-3*sqrt(10))).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000258712 to seven decimal places.\nAnswer: -0.0000259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let k = 128 + -376\/3. Let n = 3 - k. Is n > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*h + 78*h - 12 + 22*h + 10 as d*h + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r - 2440 = -3*l, 0 = -5*l + 3*r + 4063. Suppose -3*g + 483 = -3*z + 15, 0 = 5*g + 3*z - l. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12736?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -192306, -384617, -576930, -769245, -961562, -1153881?\n\"Answer: -q**2 - 192308*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from bbbreqvcebcqrqre?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275))**2 + 2 + ((sqrt(11) - sqrt(539)) + -1)**2.\nAnswer: 12*sqrt(11) + 674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1733*d + 4474*d - 2.\nAnswer: 2741*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693176351?\nAnswer: 7, 47, 2106919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 2. Let c = -35 + y. Suppose 3*f - 29 = j - c*j, -2*f + 5*j = -36. What is the remainder when 64 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 10 = -m. Suppose -2*u - m*n = -3*u + 13, -5*n + 11 = 2*u. Let x = 4 - u. Which is the third biggest value? (a) 3 (b) x (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z - 1011 = 110*z - 201 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*o**2 - 2*o**3 - 23*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {q: 1, c: 1, b: 2, z: 1, a: 1, l: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2200 - 1555. What are the prime factors of m?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.92 + -28.541. Let v = 1.6 + t. Let k = -5.679 + v. Round k to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -493, -2389, -5453, -9601, -14749, -20813, -27709, -35353?\nAnswer: -43661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 13*p**2 + 16*p - 4. Suppose 16*c = 18*c - 24. Does 22 divide d(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 + m - 4 + 24 + 0*m**2 + 6*m**2. Let a be p(-11). Let h = a + -1477\/4. Calculate the common denominator of h and -14\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 2*m**2 - 1. Suppose -5*s + 2 = 7. Determine t(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 - 11*d**2 + 10*d + 1. Let l be p(-12). Solve -l = -2*y - 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 = 15. Suppose 58*j = 56*j + 81*j + 395. Put j, 0, v, 2 in ascending order.\nAnswer: j, 0, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 = 16. Let m = 3877\/8 - 485. What is the second smallest value in b, -2\/3, m, -1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-4)\/(-9)*63\/28.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**5\/30 - 22*u**4\/3 - 1495*u**3\/3 - 8450*u**2\/3 + 282*u + 2. Find j such that b(j) = 0.\nAnswer: -65, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2193008212 rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.041 - -468137511.199.\nAnswer: 468137511.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 26 (c) 3\/5 (d) 370\/9 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + w**2 - 3*w + 3. Let b be m(2). Let f = b - 10. Is -1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1032212111113 + -122?\nAnswer: 1032212110331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 292, 281, 266?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58676, -58707, -58738, -58769?\nAnswer: -58800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1821001 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 7*q**4 + 6340*q**3 - 952741*q**2 + 271694*q = 0.\nAnswer: -1037, 0, 2\/7, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 452*r**3\/3 + 4486*r**2\/3 - 340*r\/3.\nAnswer: 2*r*(r + 10)*(226*r - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45269\/12 - 3776. Let t = 2\/541 - -31913\/1623. Calculate the common denominator of t and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 2. Let w be g(-1). Let s = -1 - w. Let y = 68\/11 + -6. Which is the biggest value? (a) y (b) -2\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74687178 - 74687142.3000433. Let j = c - 35.7. What is j rounded to six dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -699?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346502 is divided by 182?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 2. Let k be p(0). What is the second derivative of -92*b**2 + 2*b - 89*b**2 + 181*b**k + 36*b**3 + 16 wrt b?\nAnswer: 216*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -504.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2494 is divided by 31?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/6000 and (1 - 4) + 714\/(-9072)*-42.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 82*f + 324. Give o(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5222 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54556926 rounded to 4 decimal places?\nAnswer: -0.5456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1010 and 11025665.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 3*p + 6. Let z be o(-3). Suppose 4*a + l - 13 = 0, z = 5*l - 19. What is the first derivative of y**2 - 6 - 2*y**a - y**2 - 1 wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t + 488. Let p(j) = 2*j + 243. What is 3*n(h) - 5*p(h)?\nAnswer: 2*h + 249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*a**4 - 3*a**3 - 111*a**4 + 14 + 58*a**4 with respect to a.\nAnswer: 32*a**3 - 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 670*z**2 - 140*z - 350. Let u(o) = 2*o**2 - 2*o - 5. Calculate 4*k(m) - 280*u(m).\nAnswer: 2120*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11694804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 841 + -842. Let l = -6 + 5.7. What is the second biggest value in k, l, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 2*o - 7. Let h(t) = -2*t**2 - 4*t - 14. What is 6*h(x) - 11*q(x)?\nAnswer: -x**2 - 2*x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 - z**2\/2 + z - 112. Let k(c) = -6*c**2 - 4*c + 4. Determine 4*b(w) - k(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bjju when four letters picked without replacement from {b: 1, u: 1, j: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51 or 363\/7?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1407951, 1408010, 1408069, 1408128, 1408187, 1408246?\n\"Answer: 59*c + 1407892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 286202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62611 (base 7) to base 12.\nAnswer: 8aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and 12093909157487.\nAnswer: 12093909157460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*8114\nAnswer: -1622.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 + 12*x + 12. Let s be h(-8). What is the greatest common factor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.226 - -0.136. What is the third smallest value in 2\/11, -4, 0.2, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - z + 2*z - 4, -2 = x - 3*z. Put -2, -3, x in descending order.\nAnswer: -2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460054.2m to centimeters.\nAnswer: 46005420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*h - 11 = 0, 4*l + 5 = 5*h + 24. Suppose 48 = l*n + 2*n. Let d(p) be the first derivative of -p**2\/2 - 22. What is d(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88066 is divided by 17613.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -20*o - 23. Suppose -3*t = -8 - 37. Suppose -t = -2*w - 3. Let u(c) = 7*c + 8. Calculate w*m(z) + 17*u(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 822464 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 889694162 to the nearest integer?\nAnswer: 29828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3)\/(u\/(u*u**(-2\/5))))\/(u*u**(1\/4)*u*u**(-6))*(u*u**(2\/15)\/u)\/(u**(-1)\/u)*u*u*u*u**1*u*u**(-6) assuming u is positive.\nAnswer: u**(103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320017.\nAnswer: 661, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*n**2 - 45*n.\nAnswer: -434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-61)\/(-3) - (-9)\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2074752 is divided by 9515?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 3}. What is prob of sequence uuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.504 plus 25964?\nAnswer: 26173.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -195*f**3 - 10*f**2 + 15*f + 105. Let x be v(-7). Determine t so that 128*t + x*t**2 + 17 + 63 - 66383*t**2 = 0.\nAnswer: -10, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-20) + (-1444)\/(-10). Suppose 4*x + 0*x = z. 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: Solve 330*y = 312*y - 54 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1872 + -1822. Let a be -2 + 12\/(-9) + 1285\/3. What is the greatest common divisor of h and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 0. Calculate the common denominator of 1\/6*106 + 0 and (-2)\/5*1095\/f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32760287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 + w**4 + w**4 + (256269*w - 40 + w**2 - 256269*w)*(-2*w**2 + 3*w**2 + w**2).\nAnswer: 4*w**4 - 80*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 1. Suppose 4*y - 190 = -y. Let z = y + -41. Let i(o) = -5*o + 5. Give z*d(j) + i(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 294 = -304. Let p = -2.1 - -6.6. Let v = 2.5 + p. What is the closest to v in 2\/13, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 12. Calculate a(-19).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 965 = 2*u - 3*v, -5*v + 6*v + 963 = 2*u. Suppose o + 2*o + 4*z = u, -3*o + 485 = 5*z. Calculate the highest common divisor of o and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*k - 2 + 2 + 70*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54827563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 182 - 1272\/7. Let g(s) = -11*s + 117. Let m be g(11). Which is the second biggest value? (a) m (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1507\/(-44)*(0 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*-1*-5.\nAnswer: 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 575 - 570. Which is the closest to -0.1? (a) 1.2 (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*j - 496 + 2701. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -2653*x**5\/20 + x**4\/12 + 731*x**2\/2 + 1854*x. Differentiate l(o) wrt o.\nAnswer: -7959*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 9:02 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51723 by 21.\nAnswer: -2463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 63, -0.23, 1?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.65 (b) 3\/8 (c) -7 (d) -43.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 7*g**2 - 21*g - 21. List the prime factors of d(10).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155284 divided by -2\nAnswer: -77642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 8. Let l be x(-6). Let o be 5 + l + -3 + (-8)\/28. Let y = -3 - -3. Is o >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a**3 + 428*a**2 - 10*a + 30. Let k(h) = -38*h**3 - 1285*h**2 + 28*h - 85. What is -17*g(o) - 6*k(o)?\nAnswer: 7*o**3 + 434*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(4\/(-11)) + 1. Let d(s) = -s + n + 0*s + 2*s. Let z be d(-13). Which is greater: z or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + 5 + (sqrt(605) - 4*sqrt(605)*3) + sqrt(605))*2)**2.\nAnswer: -2640*sqrt(5) + 242036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-2))\/((-4)\/(-8)) - -185. Suppose -k - k = -o. What are the prime factors of k?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 - 2*t**2 + 1071*t - 1069. Let v be q(1). Suppose -52\/3*k**v + 50\/3*k + 2\/3*k**3 + 0 = 0. Calculate k.\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -6*u. Solve u = y + 2*m - 6 + 1, 2*m = -3*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1356*l + 33 = 1367*l. Suppose -3*h = -0*r - 4*r + 5, 3*h - 5*r = -10. Solve -h*v = -5*m + 20, l*v - m = -2*m + 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -117*w**2 - 1. Let n(i) = -20*i**2 - 25*i**2 + 47*i**2. Give n(z(j)).\nAnswer: 27378*j**4 + 468*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 - 96. Suppose 0 = 3*z + 9, p = -2*z + 1 - 4. Suppose 4*c - 4*o = 5*c - 21, p*c - 30 = -o. What is the highest common factor of t and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*d - 0*d + 60, 0 = 5*f + 4*d - 122. Calculate the remainder when f is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 47.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 306877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 9:03 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u + 2. Suppose 4*d - 9 = -b, 0 = 5*d - b + 5 - 14. Let m(x) = 3*x + 1. Give d*p(c) - 5*m(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3*u - 27 = 7*u, z - 2 = -u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1039.52 + 1033.85149. Let j = m + -27.33211. Let g = -33 - j. Round g to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/3822 and 79\/1222?\nAnswer: 179634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148 - 82. Suppose -l + g = 2*l. Calculate the smallest common multiple of l and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.4 - 6. Let v = -76 + 44. Let x = -32 - v. What is the second smallest value in -5, f, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 6*c. Suppose -2*x = -6*x - 2*n + 68, -5*x - 4*n + 82 = c. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 4:18 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/42 + 10*m**3\/21 - 3*m**2 + 2283*m. Determine j, given that s(j) = 0.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1255 - 1254.8. Put 0.5, 0.3, 1.7, l in descending order.\nAnswer: 1.7, 0.5, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1980 + -426. Is ((-1)\/(-3))\/(2\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1636954 and 309694?\nAnswer: 11458678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 - 217473*(-4)\/12?\nAnswer: 2, 3, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 204 - 179. Suppose j*k = 8755 + 8970. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 2*i**4 - 111*i**2 + 175*i**2 - 54*i**2 + 5 as t*i**2 + y*i + r + q*i**3 + c*i**4 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 4:51 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7393, -14782, -22159, -29518, -36853, -44158, -51427, -58654?\n\"Answer: s**3 - 7396*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -426.5 - 64.5. Let g = -491.0289 - a. Round g to three decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x - 33. Let m be s(4). Solve m*w - 2 = -11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 23*f**3 + f**2 - 6*f - 14. Let n(k) = 23*k**3 + k**2 - 5*k - 16. Let a(s) = 6*m(s) - 7*n(s). What is the second derivative of a(z) wrt z?\nAnswer: -138*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 75*r**4\/28 + 90*r**3 - 774*r**2\/7 + 312*r\/7 - 16. Factor f(v).\nAnswer: 3*(v + 26)*(5*v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/6)*s\/(s**(2\/13)\/s)*s*s*(s\/(s\/s**2))**35)\/((s\/s**(-6))\/(s*s**(-3\/5))*(s**2)**(28\/5)) assuming s is positive.\nAnswer: s**(22313\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/14956 and -65\/17034.\nAnswer: 127380252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 5575*w - 913500.\nAnswer: 5*(w - 145)*(w + 1260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-5*3\/(-25))\/(14\/(-140))*-11974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 - -102?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 876 divided by 2\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62604617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-8))\/((-80)\/64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/20)\/13*(0 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 12:26 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8464 + -8463.6. Suppose 4*t - 12 = 4*w, 9 + 0 = 4*w + 3*t. Put 11, s, w, -2\/5 in decreasing order.\nAnswer: 11, s, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 12:14 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a second in milliseconds?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + g + 37*g**3 + 3*g - 29 + 13*g**3.\nAnswer: 50*g**3 + 4*g - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 1690 = 1642 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 35.1. Let j = 1957\/12 + -33233\/204. Which is the second biggest value? (a) z (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 4*s**2 + s - 4*s**2 + 7*s**2 + 16*s**2.\nAnswer: 8*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 469*b + 1888. Determine t(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 541a8?\nAnswer: -541a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 l, and 2 i when four letters picked without replacement from {m: 2, l: 4, i: 5, o: 7}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3698, -7461, -11184, -14855, -18462, -21993, -25436, -28779?\nAnswer: -32010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 22*d**2 - 5*d - 5. Let m(f) = 2*f**2 - 144*f + 798. Let o be m(6). Let u(h) = 11*h**2 - 3*h - 3. Give o*s(v) - 10*u(v).\nAnswer: 22*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*y + 61. Calculate the remainder when 63 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/5*(-13240)\/(-331)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n - 6. Let r be o(-3). Suppose 0 = -r*j + 3338 - 542. List the prime factors of j.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = v + 920, -4*q = 4*v - 760. Suppose -15*b - 50 = -q. Let z = 4 - -5. Are z and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - 165*j + 58*j + 35*j + 30*j + 42*j.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let n = 1.1 - 11.1. Let l = n - -5. What is the third biggest value in -2\/5, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 c, and 1 u when three letters picked without replacement from ncuclqlr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(13\/(273\/(-18))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -4 (b) -1\/4 (c) -2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -295, 8, -5, 1 in descending order.\nAnswer: 8, 1, -5, -295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 7*b**2 + 7*b + 8. Let s be j(-6). Suppose s*a - 102 = -a. Suppose 4*i + l = a, 5*l = 5*i - 0*l - 55. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 850 - 849.997286. Round b to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 2, 21, -9, 6 in descending order.\nAnswer: 21, 6, 2, 1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1755 + -2137. Is i greater than -382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**4 + v**3\/6 + v**2\/2 + 4*v. What is the remainder when 46 is divided by j(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766375756 a multiple of 2689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 10*s - 5*z, z + 0 = -0 + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -22*g**3 - g**2 + 2*g + 4. Let y be z(-2). Let i = -72 + y. Suppose -6*r = -2*r - i. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Put k, -4, 6 in descending order.\nAnswer: 6, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfvo when four letters picked without replacement from fvxoyyyyyhyfyyfyyoyo?\nAnswer: 1\/12920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.01463km to nanometers.\nAnswer: 43014630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2662 + 15*f - 4526 - 13*f.\nAnswer: 2*f - 7188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2474.\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o + 3 - 17*o**3 + 30*o**3 - 12*o**3 + 7*o**2. What is q(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 - 7*y - 179. Let g(s) = -9*s**2 + 13*s + 359. Let t(r) = -3*g(r) - 7*i(r). Let w be t(19). Solve -k = -w*v + 24, -2*v - 3*k = -5*k - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 (base 10) in base 6?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 630858?\nAnswer: 3154290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 3 - (2 + 10\/(-2)). Let v(f) = -3*f - 10. Let j(r) = r + 5. Determine k*v(u) + 5*j(u).\nAnswer: -u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (631856\/453288)\/(12\/99)\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 439077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -7 + 2 + -3. Let a(h) = -h**3 + 2*h**2 + 7*h + 4. Let r(k) = 3*k**3 - 5*k**2 - 22*k - 12. Let l(w) = n*a(w) - 2*r(w). What is l(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -1.2794977156137.\nAnswer: 1.7205022843863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7566, 15094, 22622?\nAnswer: 30150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8479367.\nAnswer: 13, 379, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -394 - -406. Let r = -19 - -4. Let h be s\/r*(-1250)\/4. What is h rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 2. Is (-2)\/(-6) - (o + (-188)\/12) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x - 2*h - 6, x - 3*x = h - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/4 + 19*b\/4 - 22 = 0.\nAnswer: 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15, 5 in descending order.\nAnswer: 5, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3959 = 3*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 386*n + 150*n + 96*n - 73312 for n.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 w when four letters picked without replacement from {u: 3, m: 5, s: 1, p: 2, w: 7}.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -83\/2 in -0.4, 217, -0.2, 3, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -16 - -6) + 0\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11517 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1000001100000?\nAnswer: 1000001011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -16 - 22 - (7 - (-17 + -3))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2096*n = 21*n + 13231 + 11669 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, i: 1, j: 1, k: 2, q: 2}. What is prob of picking 1 i and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:39 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1504*n + 6 = y - 1503*n, 2*n = -5*y + 21. Let h(q) be the third derivative of 0*q + 1\/12*q**4 + 3\/2*q**y + 0 + 13*q**2. Calculate h(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*r - 0 + 9, 3*r = -4*v + 79. Solve s - 4 = 4*n, -2*n - v = -s - 3*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 25456929*k - 18851. Let f(g) = -2701*g + 2. Determine 37702*f(n) + 4*m(n).\nAnswer: -5386*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50846408903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 146143300 rounded to the nearest one million?\nAnswer: 146000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -434302, -434043, -433338, -431965, -429702, -426327, -421618?\nAnswer: -415353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -120*w + 1955. Give d(16).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - -1.1. Let l = 0 + k. Which is the third biggest value? (a) -0.4 (b) l (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77076807.\nAnswer: 3, 25692269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b318 - 1ac8?\nAnswer: -4d002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.15 in 0.05, -4\/3, 10, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - m + 4. Let n(o) = -10*o**2 - 435*o + 455. Let p(g) = -n(g) + 5*w(g). What is f in p(f) = 0?\nAnswer: -87, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199 + 187. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106 + 1107*m**2 - 106 - 21*m**3 - 1106*m**2.\nAnswer: -21*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {r: 1, p: 5, x: 1, d: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 9*r**2 - 7*r - 1. Let x(i) = 4*i**2 + 8*i + 2. Let p(d) = d**2 - d - 2. Let t(f) = 2*p(f) + x(f). Let g be t(1). Calculate m(g).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 62605*j**2 + 187880*j + 250480.\nAnswer: -5*(j - 4)*(j + 1)*(j + 12524)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4305\/189 + (-4)\/(-18). Let d(v) = 11*v - o*v + 15*v. Let h(w) be the first derivative of -5*w**3\/3 + 1. Determine h(d(a)).\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*j - 18, 13*d + 24 = 9*d + 4*j. Let h(o) = -o**2 - 5. Let i(t) = 3. Suppose 2 = -x - 3. What is d*h(s) + x*i(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 75432713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.3 times -35974?\nAnswer: -1557674.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**5 - 408*o**4 + 14*o**3 - 19841*o**2?\nAnswer: 180*o**2 - 9792*o + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:06 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*q = 76*q + 106. Calculate the common denominator of (q*(-6)\/(-96))\/(5\/(-4)) and 56\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 237, 11\/3, 14, -3\/7, 0.2 in decreasing order.\nAnswer: 237, 14, 11\/3, 0.2, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -299 + 293. Let i(u) = -u - 6. Let j(v) = v + 6. What is w*i(b) - 7*j(b)?\nAnswer: -b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:44 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33069*g**3*y**2 + 18*g**3 - 4*g*y + 110*g + 478*y**2 wrt g?\nAnswer: -198414*g*y**2 + 108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 129024.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24710 and 165.\nAnswer: 815430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-484)\/108 + 5)*-3 and 49\/289?\nAnswer: 2601","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/((-1102)\/551*(-3)\/(-8))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*j + 5*g - 4, 4*j + 2*g - 6 = 0. Suppose -5*d + 4*r + 3 - 6 = 0, 3*r = -j*d - 15. Let q(w) = w**2 + 5*w + 3. Give q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - 1 - ((-426)\/(-108) + -4)*130. Which is the fifth biggest value? (a) -2\/11 (b) 0.264 (c) -1 (d) 3 (e) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43602 is divided by 135?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18132\/27198 - (-254)\/(-3)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1188*d**3 - 3 - 2460*d**3 + 3 + 1188*d**3 - 8*d - 8 - 8*d**2. Let s(w) = 56*w**3 + 5*w**2 + 5*w + 5. Give 8*s(m) + 5*t(m).\nAnswer: 28*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 24 = 3*x, -4*x + 3 = -c + 4. Let d(j) be the second derivative of -25*j**3\/6 - 81*j**2\/2 - 27*j. What are the prime factors of d(c)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c9 (base 13) to base 3.\nAnswer: -2022110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/369 (b) 7.26 (c) -2\/3 (d) 4.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1\/33 (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*6*12*(-6)\/48. Suppose 27 = o + h, -4*h + 127 = 5*o - 3*h. Which is greater: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/3 + 36*g**2 + 1732*g\/3 + 1820.\nAnswer: -4*(g - 39)*(g + 5)*(g + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/8 + 5*r**3\/2 - r**2. What is the derivative of u(t) wrt t?\nAnswer: 45*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*q - 81. Let i(c) = -5*c**2 - 3*c - 2. Let l(u) = -16*u**2 - 10*u - 6. What is q*l(j) + 10*i(j)?\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 3 = -w, -4 = -9*a + 12*a - 2*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1 (b) -2\/3 (c) -0.1 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 214 - 38 = 0. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 3*m**2 - 17*m - 1. Let z be j(6). Solve 0 = 5*x - 0 + z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -19429*b**3 - b**2 - 9*b - 9. What is the thousands digit of g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*4059.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2 + 4*j - 687. Let p(c) = 5*c**2 - 6*c + 1031. Determine 8*i(n) + 5*p(n).\nAnswer: n**2 + 2*n - 341","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 6*c**2 - c. Let v be x(1). Suppose -4*l = 5*s - 108, v*s + 3*l - 5*l = 126. Calculate the greatest common divisor of 96 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d - 10. Let c = 3 + 4. Suppose j + 5*l = 2, 5*l - 2 + c = 0. Let y(m) = m + 145 - 138 - m - 2*m - m. Calculate j*y(k) + 5*w(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -6*d - 2*p, 0 = d + 4*p + 12. Suppose -8 = 3*j + d, -4*f + 316 = 3*j. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38226101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 5 = 0, -2*z + 4 - 2 = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3587 = 3*l + 2*f - 3535, 2*l - 3*f + 26 = 0 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97541002?\nAnswer: 2, 13, 17, 220681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9722*s**2 - 458*s + 3263. Is x(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1099, -97, 3, 5.\nAnswer: -97, 3, 5, 1099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/69 and -61\/100230.\nAnswer: 2305290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*m + 6931 - 14461 - 40541 = 0 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 24 = -8*p + 5*t, p - 21 = -4*t. Let v(g) = 6*g + 21 + 6*g**2 + g**3 - 9*g**2 - 7*g**2. Let a be v(p). Which is bigger: -8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - u**2 - u**2 + 1 - 3*u**2. Suppose -4*d - 3 = 1. Give y(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2 - 201*f + 47. What are the prime factors of o(-31)?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 t when four letters picked without replacement from dtdjtjtddtt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**2 - 787*f + 150414 = 0.\nAnswer: -946, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53392036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 6*m - 8 = 0. Solve 5*v - 30 = -c - m, 4*c - 3 = -3*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:39 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:01 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -46. Let z = q - -26. Let p(h) = -h**3 - 22*h**2 - 19*h + 44. Let a be p(-21). Sort -5, 4, a, z.\nAnswer: -5, a, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -0 + 4. Let a be b\/30 - (-2)\/10. Factor -a*j**2 + 0 + 2\/3*j - j**3.\nAnswer: -j*(j + 1)*(3*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5377\/2 - -2643. What is the nearest to f in 0.03, 0.5, 3\/2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -117. Let w = a - 83. Sort w, -1, 4 in decreasing order.\nAnswer: 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 459, 1844, 4153, 7386?\n\"Answer: 462*x**2 - x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 - -364. Let g = -776 + 805. Calculate the greatest common factor of g and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101011003 (base 4) to base 8\nAnswer: -210503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2700 divided by 1350?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 - 25 = 0. Let z be y\/(-6)*(2 + 1). What is the units digit of 25\/z*(0 - 4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1137 - -1150. Is g > 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 759*q = 757*q - 25108, g - 5*q - 8365 = 0. Is g a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 810 and 148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 31328352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 47037905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -4485?\nAnswer: 4487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**2 + z - 1. Let g(n) be the first derivative of n**3 + 1. Let i = 1248 - 1782. Let y = -532 - i. Give y*k(s) - 5*g(s).\nAnswer: -s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73\/111 - 1\/111. Which is bigger: z or 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:52 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 81. Let d = -144 + f. Is (-2)\/6*(d + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 94, 448, 1040, 1870, 2938, 4244, 5788?\n\"Answer: 119*g**2 - 3*g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Let z = -129497 - -129496.8. Which is the second smallest value? (a) z (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 3*i)*(0 - 2 + 0) - 1977 - 1887*i + 3963 - 1981 as k*i + s and give k.\nAnswer: -1881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**4 + 9*u**3 + 9*u**2 - 5*u - 20. Let p(b) = 13*b**4 - 19*b**3 - 16*b**2 + 11*b + 41. Let j(t) = 6*p(t) + 15*x(t). Factor j(q).\nAnswer: 3*(q - 1)*(q + 2)*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7792863 - 8.7790293. Let l = -292 + 284. Let r = l - w. What is r rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -2*a**6\/5 + 11*a**4\/6 + 9*a - 8. Let q(t) be the first derivative of i(t). Find the third derivative of q(c) wrt c.\nAnswer: -288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -12 - -13 - (1 + -250)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3876\/15*(-4590)\/(-108)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3653 - 3648. Sort 1\/46, d, 6, -1, 0.3 in ascending order.\nAnswer: -1, 1\/46, 0.3, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - -136. Let q = m - 148.42. What is the second smallest value in 2\/7, q, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6586 - 2361. Let c(u) = w + 5*u - u - u - 4219. Let y(a) = -2*a**2. Give c(y(t)).\nAnswer: -6*t**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 2:48 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12746372 to the power of 1\/2, to the nearest integer?\nAnswer: 3570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 66*p**4 + 2*p**4 + 1 + 2*p**2 + 2*p**3 as i*p**3 + b*p**4 + o*p + r*p**2 + s and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4802020 is divided by 23086?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8060, -4, -8\/47?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 1 + 69*m + 21 - 4 to u*m + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56 + -56.02. Which is the smallest value? (a) 1\/12 (b) u (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -k, 4*u - 5*k = -2*k. Find the third derivative of -2*y + 35*y**3 - 27*y**3 - 56*y**u + 23*y**2 wrt y.\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q + 2*q - 46*q**2 + 50*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1215 - 1130. What is the remainder when w is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/12)\/(12*(-39)\/416).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, d: 2, s: 4, v: 7, m: 3}. What is prob of picking 1 m and 3 v?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 73, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9851116 = 266*o + 9*o - 34*o. Is 90 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16465 and 11926.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3 + 9 + 5*n**2 + 14 + 10*n**2 wrt n?\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4986 - 5014 = -36*g - 2080. What is the greatest common divisor of 1034 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170.8382*7\nAnswer: -1195.8674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5236 divided by 4?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5548 and 0.28.\nAnswer: 5548.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/11760 and -113\/13720.\nAnswer: 82320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1167938 divided by -24\nAnswer: -583969\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, q: 3, b: 3, l: 1, s: 3, m: 4}. What is prob of picking 1 b and 1 s?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 + v + 61. Let i(q) = -q**2. Give b(k) - 5*i(k).\nAnswer: 2*k**2 + k + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 5 - -6) + 2 + 45 - (22 + -20).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32\/7 - 32\/7*c**2 + 5\/7*c**3 - 68\/7*c = 0. Calculate c.\nAnswer: -2, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8673, -13498, -18333, -23184, -28057?\n\"Answer: -i**3 + i**2 - 4821*i - 3852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/28 + 2658\/21 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose -14 = 3*v - q, 2*v + 5*q + 33 = 35. Is 13 a factor of (4 - (-744)\/v)*(-1)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113 and 389786946?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -11082982?\nAnswer: 1108297a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*p**5 + p**4*y + 15*p - 5*y wrt p?\nAnswer: -360*p**3 + 12*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 87824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3174 - 3022. Is z <= 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 0.27 (c) -1223306\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13003567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 2. Let y = -4 + 9. Let j(m) = -2 + 2 - y + 4 + m. What is -8*j(c) - 3*t(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.101\nAnswer: -0.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975822633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**2 - 198*h + 39. Determine c(28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 20 = 83. Which is bigger: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 47*v + 446. Calculate c(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 65*d = 819. Calculate the remainder when 414 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -126, -194, -264, -336, -410?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -b70 (base 12) in base 8?\nAnswer: -3204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3410839?\nAnswer: 107, 127, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586736 is divided by 12755.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*x - 135*x - 181*x = 222*x + 2670 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*((sqrt(192) - (-5 + 2*sqrt(192) + sqrt(192))) + sqrt(192)) + 3 + 1)**2.\nAnswer: -3264*sqrt(3) + 8068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 25*u - 37*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 - 2 + 7 - 2 + (-3*f**2 + 4*f**2 + 0*f**2)*(-3*f**2 - f + f).\nAnswer: f**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/12 + 19*m. Let y = -8 + 13. Let l(v) = y*v - 18*v + 5*v. Calculate s(l(r)).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/12 + 2)*(-108)\/(-16). Solve 2*l = -2*t - d, -18*t + 5*l = -14*t - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4219 + -1658069\/393. Let v = 808\/4323 + n. Let s = 27 - 79\/3. Is s <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1489\/833 + -29\/17. Let l = 10\/49 + d. Suppose 0 = -3*k + 8*k. What is the closest to k in 5\/2, 0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/390*(-6)\/(-4)*164\/1558?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c = 3. Let x = -13575\/98 - -277\/2. Which is bigger: x or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(3*h - 4*h + 6*h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 140\/28 + (-3)\/1. Solve -2*s = -i*q - 3*q + 18, 0 = 5*s - 5*q + 30 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 1 (b) 1\/2415 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469644*y**2 + 939265*y**2 - 469643*y**2.\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (8 - 4)*-1. Suppose 0*j = -j - 4*n + d, 30 = 5*j + 3*n. Let k(h) = -h**2 + 6*h + 7. What is k(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415383 is divided by 208?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/96 and 23\/75184?\nAnswer: 451104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156*-1395.\nAnswer: 217620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.36 - -12.56695\nAnswer: 12.20695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -110.91?\nAnswer: -110.91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-210) - (-10)\/(-75)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*w = 19 + 31, 0 = -3*i - 5*w + 65. Let u(p) = -p + 19. Let j be u(i). Let f be 0\/j + 2 + -2. What is f rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mszs when four letters picked without replacement from zsmsmuuuzmzuszmu.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 6 - 12 + 3*r - 2 + 18. Let h be 2*-2 + 28 + -30. Let u(d) = -5*d - 19. Calculate h*u(g) - 11*x(g).\nAnswer: -3*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2)*y)\/y**(-2)*y**(1\/4)\/y**(4\/9) assuming y is positive.\nAnswer: y**(209\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 607070 and 13634.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5303 - 5303 - 7*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -43688\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence giog when four letters picked without replacement from {o: 1, g: 3, l: 2, i: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -5. Let m be ((-8)\/6)\/((-1)\/a). What is the highest common divisor of 40 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1584) - ((0 + sqrt(1584) + sqrt(1584))*-4 - sqrt(1584))) - (4 + sqrt(1584) + -2 + sqrt(1584) + 5))**2.\nAnswer: -2112*sqrt(11) + 101497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 2*f - 6*f**3 + 7*f**3 + 2*f**2. Let p be r(-3). Suppose 0 = -4*o - 5*q - 614, -3*o - 470 = -p*q - q. Round o to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -174524? (a) -1 (b) 1\/2 (c) -1\/4 (d) -3 (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 3 + (7 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9864 is divided by 1962?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - w = -2*w - 235, 3*g + 5*w - 211 = 0. Suppose g*p - 79*p + 2 = 0. Solve z - 1 = p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -13*s**3\/6 - 3*s**2 - 3*s. Let k be o(-6). Let v = -43 + k. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2629\/(-1912))\/((-275)\/140).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:47 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 + 5*c - 10. Let n be k(-3). What is the remainder when (n + 2)*(-55)\/5 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1194.7 - -1196.7. Suppose r + 4 = 4*i - 8, -i + 5*r = 16. Suppose 5*u = 5*s + 40, i*u + 4*s = u - 11. What is the second smallest value in c, -0.1, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -6*y. Is -2\/73 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 8*g - 4. Let c = -32 + 39. Let v be h(c). Put 10, v, -2, 2 in increasing order.\nAnswer: -2, 2, v, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, b: 2, y: 3, h: 5}. What is prob of picking 3 y and 1 b?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*y**2 - 595*y + 236*y**2 + 595*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, b: 2, l: 4, z: 1, k: 2}. Give prob of sequence llbl.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4 + 1189*g**3 + 14096*g**2 - 32956*g = 0. What is g?\nAnswer: -1177, -14, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a centimeter in millimeters?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 199363.65129 minus 2?\nAnswer: 199361.65129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86942 is divided by 12420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**4 - 87*i**2 + 36*i**2 + 24*i**2 - i**4 + i**3 - i**3 - 4*i**4 + 3*i**4 - i**4 + (-2 - i**2 + 2)*(-2*i**2 + 0 + 0) - i**2 + i**2 - i**4.\nAnswer: 3*i**4 - 27*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -287*(90\/35)\/(-3). What is b rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*x - 19, 4*x = -13 - 7. Suppose 3065 = 2*t + o*c, -22*t + 18*t - 3*c + 6115 = 0. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -155, -178, -231, -326, -475, -690?\n\"Answer: -2*w**3 - 3*w**2 - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4732 + 4736. Solve -23 = -d + n*q, -12 = 3*d - 4*q - 41 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-39))\/(55*(-5)\/75).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89137505?\nAnswer: 5, 89, 383, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -83*f - 5. Let o(h) = -21*h + 1. Calculate -10*o(z) + 2*w(z).\nAnswer: 44*z - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3249*i - 1900. List the prime factors of l(7).\nAnswer: 19, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i + 12*i + 15*i in the form d*i + c and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f = 2*f + 32 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6948 is divided by 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004199213 rounded to four decimal places?\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, k: 12}. Give prob of picking 3 k and 1 l.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 288\/65 or -10\/19?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 + 351783894*d**3 - 411473246*d**2?\nAnswer: 60*d**2 + 2110703364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 19 = 3*y + 34, -103 = 5*y - 3*w. Let o(r) = 3*r**2 + 70*r + 26. Let h be o(y). Solve -9 = 2*u - h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805562433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2 + 17*u - 1. Let n be z(-6). Factor -40*k**2 + n*k + k + 3*k - 13*k - 16*k**3 + 6*k**4.\nAnswer: 2*k*(k - 4)*(k + 2)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-11) + 1548\/198. Solve -w = -7*v + 9*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-45)\/(-40))*90\/(-60)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440906494.\nAnswer: 2, 7, 31493321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29698 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2 - w**4)*(-2 + 2 + 3).\nAnswer: -3*w**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 12. Suppose -u - r = u. Let z = -2 - 1. Sort z, 5, u in increasing order.\nAnswer: z, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**5\/20 + 7*i**4\/4 - 3*i**3 - 13*i**2 + 4*i. Let o be m(20). Solve -2*d - o = -k - k, 5*d = k - 27 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 75*f**2 - 147*f - 69. Calculate r(-73).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5817 is divided by 2422?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -12. Let w = -1 + p. Let i be (w\/3)\/(6\/396). Calculate the greatest common factor of 22 and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 14*k - 517. What is s(53)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mzmmzm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by -42?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(48))**2*3*-2 + -2.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6*t + 24 = -4*q, -4*t - 16 = 4*q. Let i be (-4)\/7 - (-36)\/14. Find the common denominator of -121\/30 and (53\/(-25))\/(i\/q).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1322.772 and 1162938.\nAnswer: 1164260.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**2 + h**2 - 5*h**2 + (-5*h + 4*h + 3*h)*(0 + 0 + 2*h) + 5*h**2 - 4*h**2 - 2*h**2)*(-2*h + 5*h + 0*h).\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(27\/(1458\/189))*-3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**3 + 519820*h**2 - 1039655*h + 519830 = 0.\nAnswer: -103966, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 3890 divide 90531970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*2*1\/(-3). Suppose 9 = c*m - 75. Let a = 36 + -29. Calculate the greatest common factor of a and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5461.8 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 1. Suppose 0 = -14*h + 27 + 57. Calculate the least common multiple of h and w(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85014660 divided by -17002932.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*7\/(-42)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -439219703 to the nearest 1000000.\nAnswer: -439000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 93*t - 45*t = 12. Solve 6*x - 5*w = 5*x + 1, -x - t = 2*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 133 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**3 - 256*w**2 - 3676*w + 3936 = 0. What is w?\nAnswer: -41, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801747053 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 0 + 5 = 0. Let f = 106.9 - 106.6. Let l(o) = 11*o + 3. Let t be l(1). What is the smallest value in 1, f, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhfhahhhhfiha. Give prob of picking 2 f and 2 h.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 6*q**2 + 3*q - 8. Let z be w(6). Suppose -5*g - 22 = 8. Let v = g + z. Which is the biggest value? (a) v (b) -5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*a + 12 + 9 = 0, 4*a = 3*j - 26. Solve 4*y + 9 = j*o + 3*o, 2*o - 5 = 3*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 43706\/1535?\nAnswer: 43706\/1535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 1 = 3*l. Let c be (-1 - -10)\/(-3) - l. Solve c + 3 = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - 12*c + 2. Let p(l) = -15*l**2 - 78*l + 13. Let r(b) = -2*p(b) + 13*t(b). Let z(a) = -4*a**2 + 150. What is z(r(o))?\nAnswer: -64*o**4 + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1809 + -1809.000009495. Round k to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10036735 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m + 4345 = 43*m. Suppose 393*o + 1370 = m*o. What are the prime factors of o?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*m + 79*m + 2324. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*d**4 - 4840*d**3 - 7125*d**2 - 2660*d - 295 = 0. Calculate d.\nAnswer: -59, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099998.\nAnswer: 2, 3, 23, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/15 (b) 2\/3 (c) 45 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**4\/6 + q**3\/9 - q**2\/3 - q\/3 - 3. Factor z(p).\nAnswer: (p - 1)*(p + 1)*(2*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 23.1. Let j = 10 - 15. What is the nearest to p in -1\/4, j, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -149 * -1318\nAnswer: 196382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467*s + 453*s - 1392*s + 471*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**7\/42 + 53*o**5\/30 - 186*o**3 + 363*o**2 - 2. Differentiate l(b) wrt b.\nAnswer: -20*b**3 + 212*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - p + 1. Let z be i(1). Let k be (-8 - 1) + z*1. Let t = 28 + k. Calculate the remainder when 32 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 600829985.\nAnswer: 5, 7, 281, 61091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -136, -207, -274, -337, -396?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 4, -1076, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -88, -176, -260, -340, -416?\n\"Answer: 2*h**2 - 94*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 8. Let j be p(11). Let w be (-7)\/j + (-14)\/4. What is the second smallest value in -5, 3\/8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*l + 44, -84 = -5*l - 2*m + 8. Solve -2*k - l = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1524\/560*-2 - 40\/700.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 8. Let t(v) = v**3 - 76*v**2 + 83*v - 101. Let u be t(75). Suppose 0 = z + k, -s = z - u - 79. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4798 is divided by 96?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7861a (base 11) in base 13?\nAnswer: 3cab2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8844299 millimeters?\nAnswer: 0.08844299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5358083 or 5358096?\nAnswer: 5358083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76914*t**2 + 56236 with respect to t.\nAnswer: -153828*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14837, -14429, -13737, -12755, -11477, -9897?\n\"Answer: o**3 + 136*o**2 - 7*o - 14967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmll when four letters picked without replacement from {m: 7, l: 7}?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 6:59 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dnnonnodonvdnnv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 5*g**2 + 7*g + 5. Determine v(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -7*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 0. Let d(b) be the first derivative of -b**4\/4 + 7*b**3\/3 - b**2\/2 + 8*b + 3. Let q be d(7). Put -2, q, t in decreasing order.\nAnswer: t, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(304)*-4 + (sqrt(304) - (sqrt(304) + 1 + -5)) - -2*(sqrt(304) + sqrt(304) + (sqrt(304) + 3)*2 + sqrt(304))**2*-1.\nAnswer: -15268 - 560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*g + 36866 + 10727 = 117*g for g.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4639\/132 - -393\/11. Let b(l) be the second derivative of 5*l + 9\/20*l**5 + 0*l**2 + 0*l**3 + 0 - c*l**4. What is the third derivative of b(n) wrt n?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1488538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9081*x - 10726.\nAnswer: -9081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -6*p**2\/7 + 810714*p\/7 - 3242760\/7 = 0?\nAnswer: 4, 135115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(-3*o + o - o)*(0 + 3 - 2).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114084 * 34.\nAnswer: 3878856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.1, 1\/3, 45, 42 in ascending order.\nAnswer: 0.1, 0.3, 1\/3, 42, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 156467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 1. Let x be i(-3). Let w(p) = -x*p - 2 + 4*p + 363134*p**2 + 211865*p**2 + 3*p. Let r be w(2). What is r rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -38*l + 40*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 279560 and 640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378*m - 147*m + 81*m.\nAnswer: -444*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17094 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/380 + 769\/3420. Do -6.9 and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(-4))\/n**(-3)*(n*(n*n**(6\/5))\/n)\/n**(1\/9) assuming n is positive.\nAnswer: n**(184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.2 + -8.3. Let c = -8 + 11. Let u be c*1 - (-3 - -4). Are d and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -18*n**3 - n**2 + 1. Let j be m(-1). Suppose -2*p + j + 0 = 5*c, 3*c = 4*p - 88. Let g = -19 + p. Solve 3*d + g*u = -4*u - 15, 1 = -4*d + u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1018377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -72 - 15. Let w = c - -325. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -627*r**3 + 208*r**3 + 207*r**3 + 211*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0*m**3 + m**3)*(m**2 + m**2 + 0*m**2 + (-1 + 1 + m)*(9 - 9*m - 9) - 90*m**2 + 37 - 37)*(0 - 1 - 1) + (-2*m - 2 + 2)*(-2*m**4 - m**4 + 4*m**4).\nAnswer: 386*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 (base 12) in base 6?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025310.\nAnswer: 2, 3, 5, 11, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(187))\/(((sqrt(275) - sqrt(11)) + sqrt(11))*-4).\nAnswer: sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25503324 - 220?\nAnswer: 25503104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -19079276.87 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132 - 44. Let k = l - 84. Which is bigger: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -33*f + 1488. Let x be u(-14). What is the greatest common divisor of 1050 and x?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 6*t + 10. Let k be y(-7). Let x be k - 4\/(-16)*-4. Let v be x\/(-13) - 1949990\/65. What is v rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36567186 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 5*f + 2. Suppose 3*r - 3*y - 51 = 0, 42 = 3*r - y - 7. Suppose 6*q - 46 = -r. What is z(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 92. Suppose 6*w - 2*w = f. Calculate the greatest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 - 39. Let p = a - -20. Let j(o) = -o**2 - 3*o + 4. Let k be j(p). Is -4 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 1324 = -276. Suppose 4*r - 515 = -3*k, -5*k + 8*r - 3*r = -t. Is 33 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 138, 4, 5, -4, 4\/5, 0.22?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3052409111 to the nearest integer?\nAnswer: 55249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00043317 to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*t - 174*t + 1570 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**7\/2520 - o**6\/72 + o**5\/24 + o**4\/6 + 2*o. Let h(z) be the third derivative of q(z). What is the tens digit of h(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 1\/2*w**2 - 11\/20*w**5 + 0 + 7*w + 0*w**4 + 0*w**3. What is the derivative of c(l) wrt l?\nAnswer: -33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**5 - 32685*g**4 + 326525*g**3 - 1142475*g**2 + 1631870*g - 783240 = 0.\nAnswer: 1, 2, 3, 4, 6527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 5*l - 713 + 629 = 0, 0 = 8*z - 4*l + 564 for z.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-16*(-210)\/2464).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 6*g + 4. Let p(a) = -11*a - 8. Let q(c) = 5*o(c) + 3*p(c). Let y be q(-3). Suppose -7*u + 3*u = 3*n - 14, 2*u = -y*n. Solve u*z = 3 - 8 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296427 (base 13) in base 8?\nAnswer: 3673426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 5*x, 0 = -4*l - 2*x - 0*x - 12. Let s(p) = 4*p**2 - 5. Let b = -1664 + 1666. Let w(k) = 9*k**2 - 11. Give b*w(v) + l*s(v).\nAnswer: -2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (5 - 9 - 12) + 6 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 22. Determine a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuwwlvwwuwwwwvwo. Give prob of picking 1 l, 1 w, and 1 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 16*w + 10. Suppose -3*j = 2*j - 45. Let n be u(j). Let k(t) = 15*t**2 + t. Let f be k(-1). What is the highest common factor of f and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*k - 12 = -3, k = 5*h + 22. Sort 4, h, 1 in descending order.\nAnswer: 4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5\/2, -14625, 5, -3, 0.2 in decreasing order.\nAnswer: 5, 0.2, -1, -5\/2, -3, -14625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -242355*u**6 - u**2 - 436137.\nAnswer: -29082600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 + 38*a**2 - 294*a + 19. List the prime factors of o(8).\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 11550.\nAnswer: 80850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 714943729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**4\/8 + 236*d**3 - 1467633*d**2\/8 + 30370158*d + 30553848 = 0. What is d?\nAnswer: -2511, -1, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.15, -8\/15, -1\/4?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -1?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 8*u**2 - 9*u. Let f be r(-6). Let q = f + 31. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 349*l + 1. Is w(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -4 - (10 - (-2 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6.4. Let b(z) = -z**2 + 5*z + 3. Let n be b(5). Let o = 0.12 - -0.08. What is the closest to n in g, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -76 in descending order.\nAnswer: 0, -5, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 + 5*n + 13. Let h be a(-2). Let d(m) = -586*m + 586*m - h*m**2 + 3*m**2. What is d(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5 - 10. Let n(j) = 160*j - 2*j**2 + 5 + 9*j**2 + 2*j**3 - j**p - 153*j. Calculate n(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -15 (c) 13.96422\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-16\/3)\/(k*k**(-6\/11)*k**(-13)))**(-21) assuming k is positive.\nAnswer: k**(-1666\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 915 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 4*t**2 - 8*t + 7. Give w(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 39.28687 weeks?\nAnswer: 23760698976000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -4)*-1*0. Let b(n) = n**3 - n**2. Let m be b(1). Suppose m*c + 2 = 2*c. Which is bigger: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76 in 3, -0.4, 2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 151.4742 - 0.1742. Round k to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/6)\/(20\/25*135\/162).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - y + 13 = 0, -11 = -4*a + y - 2*y. Determine v so that -2\/5*v**5 - 2\/5 - 2\/5*v + 4\/5*v**3 - 2\/5*v**4 + 4\/5*v**a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/(-80) - 3*2\/(-8). Determine q, given that 0*q + 0*q**4 - 2\/5*q**3 + 0*q**2 + c + 2\/5*q**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 15 - 65. Let l = 112 + j. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1587 + -1585. What is the closest to 4\/7 in 0.2, -0.1, z, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 135 from -7.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 13*s - 11. What is the units digit of w(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3579*p - 73. Is a(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.91492 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088545487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q + 37*q = 418. Calculate the remainder when 117 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/12 + 3 + (-45)\/12. Solve -4*b - b = l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 424029589?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 1, 5, 5\/3, -0.2, -3 in decreasing order.\nAnswer: 5, 5\/3, 1, 2\/5, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.18 - -0.3. Let h = y + -5.12. Let g = h + 5.0000046. Round g to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182779 is divided by 182741?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/60)\/(15\/24). Which is the fourth smallest value? (a) -2 (b) 0.3 (c) 1\/7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c0524 (base 14) to base 13.\nAnswer: -13239a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c + 2. Let b be y(-4). Let w(u) = 2*u**2 - 2*u + 1. Suppose 4*k + 18 = 2, -4*x + k = 0. Let v(j) = -j. Let d(i) = x*w(i) + 4*v(i). Determine d(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -811896108984.\nAnswer: -811896108984.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 10894?\nAnswer: -10895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -25, -3, 1\/3, 7 in ascending order.\nAnswer: -25, -3, -0.9, 1\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejjeueeeeeejeqj. Give prob of picking 2 e and 1 u.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (154\/(-2))\/(-67*(-25)\/3350*-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -d + 33 - 408, 271 = 4*z + 5*d. Let i = 176 - z. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/((-2)\/18*-2). Is 8 a factor of (p\/(-72))\/((-2)\/(-64))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 - 12*v + 18. Let q be h(6). Let t be (-12)\/30 + (0 - (-54)\/10). Suppose -t*u + 371 = 281. Is u at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -67. Suppose 0 = -j - 0*j + 3*p - 2, r = 2*j + 4*p - 16. Suppose j*d = -d + 215. What are the prime factors of d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/2)*j*(j**(-24\/11)\/j)\/j*j)\/(((j**6\/j)\/j*j*j)\/(j\/(j\/(j*j**11\/j)))))**26 assuming j is positive.\nAnswer: j**(377\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(6\/(-4) - -1). Let q(r) = -7 - p*r - r**2 + 3 + 0*r**2. Let m = -35 - -32. Determine q(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.5700746 - -15.678.\nAnswer: -23.8920746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.091539.\nAnswer: -0.091539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3365*c**4 - 3*c**3 + 1908*c**2 - 2*c - 52335318?\nAnswer: -40380*c**2 - 18*c + 3816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 5) to base 3.\nAnswer: -11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 3*t**6\/40 - 19*t**5\/240 - 5*t**4\/32 - t**3\/12 - 162*t**2. Factor w(z).\nAnswer: (z - 1)*(4*z + 1)*(9*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - l**2 + l. Let d be m(1). Suppose d*w = 6*w - 532. Calculate the greatest common factor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 5*o + 6*o - 8*o. Calculate the lowest common multiple of o and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9229\/7056 + -2\/441. What is the common denominator of k and -59\/9?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025909378 rounded to 3 decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -20, 7, 60, 145?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*-10.5.\nAnswer: 15.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-38)*t)**21\/(t\/(t**(2\/9)*t)*t\/(t\/(t**(13\/6)*t))))**28 assuming t is positive.\nAnswer: t**(-191254\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120974 = 16735*s - 96581 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 750 divided by 5\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 1549098*v + 599926153401.\nAnswer: (v + 774549)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + n**2 - n**4 + (7*n**2 - 4*n**3 - 7*n**2)*(76*n - 68 + 68).\nAnswer: -305*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46183, 46184, 46185, 46186, 46187, 46188?\nAnswer: 46189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j = 16*p - 17*p + 44, -p = 4*j - 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -649 divided by -2326009.\nAnswer: 649\/2326009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -r - 0*r + 26, 0 = 5*r + 5*i - 180. Suppose 0 = 2*u + n - r, 4*u + u - n - 92 = 0. What is the remainder when 53 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*a + 338*a + 11435 = -2095. Put -10, a, 0 in decreasing order.\nAnswer: 0, -10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/72 + (-32)\/18. Find the common denominator of (r*3\/(-9))\/((-44)\/(-24)) and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from godflodooo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -6*i**3 - 12*i**2 + i + 9. Is x(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -2*b**7\/245 + 2*b**6\/105 - b**5\/105 - 52*b**2 - 2. Suppose u(x) = 0. Calculate x.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -197303 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v + 3*v + 33*v + 21*v + v to o*v + g and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 114919877 from -0.36.\nAnswer: -114919877.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)*p\/(p*p\/(p**(1\/7)*p)*p*p))\/(((p*p**(2\/3))\/p)\/((p\/(p*p**7*p))\/p)) assuming p is positive.\nAnswer: p**(-389\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -c, 16*c = 13*c - 5*u - 3 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 8*c**2 - 21. Is v(9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, u: 16}. Give prob of sequence uu.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c - 2. What is r(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1e8 + -131?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:13 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1175 + -1174.95. Let c = 15 + -9. Suppose -5*f + z = 13, 4*f + z - c = -20. Put g, f, 1 in descending order.\nAnswer: 1, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85 and 2295?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - n. Let t(z) = -3*z**2 - 3*z - 10. Let s(h) = 4*l(h) + t(h). What is the units digit of s(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/sqrt(54) - (sqrt(44) - (2*sqrt(484))\/sqrt(11)))*5 - (-2 + (sqrt(176) + -2)*2).\nAnswer: 6 + 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/5, 0.1, 0.39, -1.3?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28221201 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-141 + 141 - 41*l)*(7*l**3 - 9*l**3 + 0*l**3) in the form z*l**3 + q*l**2 + j + o*l + h*l**4 and give h.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 0.4, -3\/2, -1.1, 6 in increasing order.\nAnswer: -3\/2, -1.1, -2\/3, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -15*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**3 - 13*p**2 + 188*p + 12. Calculate w(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 3*w + 71. Give z(0).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 193\/18780 - -2\/313. Let l(c) be the third derivative of 1\/240*c**6 + 0*c + 1\/48*c**4 + 0 + 0*c**3 + 2*c**2 + b*c**5. Factor l(i).\nAnswer: i*(i + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.46354 and -0.2.\nAnswer: 0.292708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 18. Suppose -b = h*o - 3 - 7, -20 = b - 4*o. Suppose 0 = 2*z, 2*z = -4*s - b*z + 20. Solve s = u + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - p - 1. What is the units digit of c(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**3 + 5. Let o(r) = -9*r**3 - 9. Give 7*g(y) + 3*o(y).\nAnswer: y**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2506533?\nAnswer: 3, 835511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 3)*(-2 + 3 - 3) + 1 - 1 - 2 - 4 + 15 + 35)*(-34*x - 4*x - 19*x).\nAnswer: -2280*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-532)\/(-42) + (-488)\/30.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14848049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 389900 + 19527\nAnswer: 409427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10458 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 1 - (17 - (-20 + 42)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26672 and 6032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3502393?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1638467131?\nAnswer: 7, 193, 1212781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13160375623 + -0.3?\nAnswer: -13160375623.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 60 = -3*i - 5*k, -2*k = -i + 39. Let f(c) = -c**2 - c - 45 + i. Let t(m) = 5*m**3 - 25*m**2 - 25*m. What is -25*f(n) + t(n)?\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c + 4*c + c + c. Let j(p) = -2*p**2. Give u(j(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3495*v**4 + 3903*v**4 - 7093*v**4 + (-6*v**4 + 0*v**4 + 3*v**4)*(-2 - 2 + 2).\nAnswer: 311*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3197*m + 18*m**2 - 2 + 8*m**2 + 3176*m.\nAnswer: 26*m**2 - 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005684 rounded to seven dps?\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 + -3 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1513 = 429095*l - 429201*l - 925 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1112 and 40.5.\nAnswer: -45036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 v when three letters picked without replacement from vhmpmpmvxvgvmvpmv?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 227983 less than 53423.7?\nAnswer: -174559.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/11, -0.04168, -2 in decreasing order.\nAnswer: 8\/11, -0.04168, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 136960, 273900, 410828, 547744, 684648, 821540, 958420?\n\"Answer: -6*z**2 + 136958*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2978.\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*g**2 - 50*g**2 + 91*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9381, 2, 0, 20 in decreasing order.\nAnswer: 20, 2, 0, -9381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1847011, -1847038, -1847065, -1847092?\n\"Answer: -27*g - 1846984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2. Let x(i) = -3*i + 2. Let y(a) = -39*a + 27. Let m(d) = -27*x(d) + 2*y(d). What is m(s(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 a when three letters picked without replacement from ahaahqaaqqhccgchhaa?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -z - 510. Let w = z + 15. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10 = -2*q. Let x(l) = -6*l**2 + l**q + 2*l**2 - l**2. Let a(p) be the second derivative of -7*p**3\/6 - 737*p + 1. Give x(a(m)).\nAnswer: -196*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(114)*-3)\/(((sqrt(24) + -2*sqrt(24))*-5)\/sqrt(4)) + -3.\nAnswer: -9*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w - 317. Let b(v) = -6*v + 314. Give -3*b(r) - 2*g(r).\nAnswer: 2*r - 308","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 32*c - 5*l = 95, 0 = -c + 4*l + 22. Calculate the remainder when 175 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let p(k) = 874871937*k**2. Determine p(o(g)).\nAnswer: 3499487748*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 7 = 4*g. Let w = g + -8. Which is the biggest value? (a) -4 (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29.92 times 0.052\nAnswer: 1.55584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/(-44352)*(320\/(-60) - -4)\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - a + 3)*(2 - 2 + 3)*(15867*a + 1655597 - 3311197 + 1655600).\nAnswer: -47601*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -202582660 less than -756?\nAnswer: 202581904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 559\/(-86)*(-24)\/6?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -134*l**3\/3 + 156*l + 163. Differentiate q(d) wrt d.\nAnswer: -268*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q - 22. Let r be f(5). Let n(l) = 2*l**2 + 3*l. Let y be n(-2). Let x be y\/r*(-13 + 13). Put -2, x, -10 in increasing order.\nAnswer: -10, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 - 3*x - 2. Let n be q(-2). Let k(v) = 8*v + 3. Let s(a) = 24 + 4*a - 10 - 13 - a. Give n*k(r) + 11*s(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s**2 - 19*s**2 - 21*s**3 - 22*s**2 - 525*s + 56*s**2.\nAnswer: -21*s**3 - 4*s**2 - 525*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q + 3 + 2 + 7*q. Let r(o) = 6*o**2 - 2*o - 1. Let k be r(-1). Let i be d(k). Round i to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeaaeaaeaaaaeeea.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3035011?\nAnswer: 7, 23, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s**2 + 2*s + 16. Let a(g) = -g**2 + g. Give -a(k) + v(k).\nAnswer: 8*k**2 + k + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 5*m**4 + 40*m**2 - 43 - 40 - 206*m**3 - 74*m + 31 + 278*m**2 + 9*m**4 = 0.\nAnswer: -2\/7, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120494 - 67875. Suppose 41*m = 48*m - l. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i - i = 2*n + 15, -5*n = -i + 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/6*(8 - -4). Let d(u) = -u - 2. Let a be d(l). Let v be (-1)\/(-1) - (-8)\/a. Sort v, 0.5, -1 in decreasing order.\nAnswer: 0.5, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 212?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1006250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105136 (base 7) to base 10.\nAnswer: -18598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhdjjzhzzzhhdzzhzz. What is prob of sequence hh?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256421 is divided by 85441?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97\/(5820\/(-96))*3*40\/84.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f - f - 13 + 0*f - 21. Let s be p(-4). Solve u = 2*q + 1, -4*q - s*u + 5 = -5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 w when four letters picked without replacement from ttttptwwwtptpttwppt.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xee when three letters picked without replacement from {x: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-149994)\/5 - -3 - (-5)\/(-25). Let m be z\/5 + 52\/(-65). What is m rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14862867*s**4 - 6*s**3 - 6*s**2 + 618797?\nAnswer: -356708808*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4429 - -4494. Solve -y = 10*c + 3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -298?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/926601 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**2\/3 + 55031352*r + 2271337277210928 = 0. What is r?\nAnswer: -82547028","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-14) - 29\/28. Let d be (-12)\/(-42) - (260\/126 + -2). What is the fourth biggest value in 2\/11, d, i, 1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -460.6014?\nAnswer: 1842.4056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 7*f**2 + 10*f - 29. Let k be r(5). Which is the closest to -2? (a) k (b) -4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -8*g + 4*y + 244984, 5*g = -y + 245004. Round g to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 13*t - 122 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55907384?\nAnswer: 2, 13, 31, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 137497949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/258 and 71\/84.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 - 2 = -4*q, -2*q = 3*f + 2. Let p(i) = 6*i**2 + i - 6. Let r(j) = -j**2 + 1. Calculate q*p(z) - 5*r(z).\nAnswer: -z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3616 and 384.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-10)*5\/2. Suppose x - b = 3*x - 15, -n*x - b = -25. Suppose x = 4*h - 14. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**2 + 20312*g - 343591. Calculate d(17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + 16. Suppose n*f - 54 = 22*f. Calculate the greatest common factor of 45 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 + -152 + (2 - 17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37394, -77740, -118076, -158402, -198718?\n\"Answer: 5*r**2 - 40361*r + 2962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 849, 2924, 6983, 13686?\nAnswer: 23693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbpwk. What is prob of picking 1 p and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*r**3*z + 127*r**3 - 67*z**2 wrt z.\nAnswer: -6*r**3 - 134*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*r - 5*h + 20, r = 3*h - 12. Let u be (-1)\/(1\/(-2 + r)). Let d(n) = u*n + n - n - 3*n. Let m(c) = -c**2. Give d(m(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/15)\/(7 - 22\/4). Which is the nearest to -4? (a) 2 (b) m (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85 - 82800\/1170) + (-9)\/(36\/56).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o - 2. Suppose 7 = -5*n - 8. Let i be (-1 - -3)\/(n\/(-6)). Suppose 7*w - 4*w - 3 = 5*f, -3*f + 7 = -i*w. What is t(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1499 divided by -351.\nAnswer: -1499\/351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4190 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t**2 + 5. Let l(u) = -8*u**2 - 4*u - 3. Let r(w) = -9*w**2 - 5*w - 3. Let z(y) = -5*l(y) + 4*r(y). Calculate -6*d(x) + 10*z(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 1b?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 584 - 136 = 0. Let c be ((-4)\/(-12))\/((8\/b)\/4). Sort -1, 9, c, 0.\nAnswer: -1, 0, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.2 (b) -0.05 (c) -1 (d) -0.018\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6183 (base 9) in base 2?\nAnswer: -1000110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2064*t + 5228. What is the hundreds digit of m(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188587971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -133*y**3\/3 + y**2\/2 - 2880*y + 1058. Differentiate r(g) wrt g.\nAnswer: -266*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfo when three letters picked without replacement from jokjkjokfjjj.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233946?\nAnswer: 2, 3, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 2*a - 5. Let h be y(5). Suppose -5*m = -0*m - 5. Solve -h + m = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2564291 - 896*j**2 + 5128582 - 2564291.\nAnswer: -896*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 4*u. Let d be i(3). Let a(o) = -3*o**2 - 149*o + 196. Let y be a(-51). Sort d, y, -4 in increasing order.\nAnswer: y, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/7 - 2*b**4\/7 + 26*b**3\/7 + 2*b**2\/7 - 24*b\/7 = 0. What is b?\nAnswer: -4, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose -3*m = -o*z - 23, -3*m = -0*m + z - 20. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 2479*j - 2475*j - 27, 0 = -6*j - 5*v - 68 + 101 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63651327 to the power of 1\/2, to the nearest integer?\nAnswer: 7978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -146, -204, -260, -314?\nAnswer: -366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 6:11 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 956920885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5206, 5203, 5200, 5197, 5194, 5191?\n\"Answer: -3*g + 5209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -195 (base 10) in base 16?\nAnswer: -c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1584*h**2*j**3 + 46341646*h**2 - 4056*h*j**2 wrt j.\nAnswer: -4752*h**2*j**2 - 8112*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11021 (base 3) in base 2?\nAnswer: 1110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/(5\/28)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596400 = 24*n - 30*n. What is n rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*w + 7 = 43, -3*w + 23 = 2*k. Let x be (-14)\/(-6) + k\/12 - 3. What is the biggest value in 1\/2, -3\/7, x, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 5*f**2 + 8*f - 10. Let n be c(6). Let a(r) = 2*r + 2 - r + 3*r + r**n - 7*r. Let g be a(3). Solve 4*s - 4 = g*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 6*k - 1317. What are the prime factors of k?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 465.6154 to 1 decimal place.\nAnswer: 465.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 635535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(-2 - w + 2) + (3 - 3*w - 4 - 1)*(-3 - 2 + 3) in the form o + g*w and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 + 103.6. What is the third smallest value in -1\/3, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51017421193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198\/94355 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 320\/15*(-3)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 291.5522 - 290.59. What is n rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/(((-1)\/2)\/((-127242)\/36)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6098*h = 289368 + 192374 for h.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 41*g - 11. Let h be z(-6). Solve -4*l + 8 = -5*a, -4*a + 15 = -4*l + h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ailq when four letters picked without replacement from akiqkliiqkqiqiiitk.\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 254462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.289 take away 16074.6786?\nAnswer: -16050.3896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137773801 to the nearest integer?\nAnswer: 11738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0376 + 11.9624. Which is the third smallest value? (a) l (b) 1\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34896 is divided by 2326.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1620 and -64\/105?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 149 = -2*j, 4*q + 2*j - 130 + 10 = 0. Suppose -5*i = -6 - q. Suppose 19 = -383*y + 384*y. Calculate the remainder when y is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -130*z**3 + 24*z**4 + 130*z**3 + (3*z - 4*z**4 - 3*z)*(3 + 0 - 2) + (-2*z - 2*z**2 + 2*z)*(2*z**2 - z**2 - 2*z**2).\nAnswer: 22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2028*f + 100 = 2048*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijjjggji. What is prob of sequence ijjg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12580996*r**3 + 9433085*r**2 wrt r?\nAnswer: -75485976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 62\/4 + (2\/4 - 0). Put 3\/5, -0.3, d in increasing order.\nAnswer: -0.3, 3\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21253000 to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(22253\/715) - (-6)\/14\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 9. Let s(p) = -2 - 6 - 3*p**2 - p + 0. Let i(o) = -5*l(o) - 6*s(o). Suppose i(z) = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 542614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(sqrt(1053)*-4 + sqrt(1053))**2 - 3*sqrt(1053)*-3).\nAnswer: 81*sqrt(13) + 56867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-536237)\/(-21) - ((-23)\/(-21) + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**2\/2 + 6*m - 1. Let t be q(3). Suppose -2*f = t*h, -f = -3*h + 5 + 4. Solve -7 = a - 4*a + o, -3*o + 12 = h*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 2. Let z = -0.2 - 0.8. Let p = -1188\/10925 - -2\/575. What is the nearest to z in q, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 168, 165, 160, 153?\n\"Answer: -h**2 + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6 + 2 = 0. Let v(r) = -r + 32. Let a be v(36). Is o >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 5. Let g(m) = -m**3 - 8*m**2 + 4. Let x be g(-4). What is the remainder when t(-6) is divided by (4\/3)\/((-5)\/x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-80000001)\/5 + 4*(-2)\/(-40). What is t rounded to the nearest one million?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrurrrurrr. What is prob of picking 2 r?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1840, -1842, -1844, -1846?\nAnswer: -1848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 11*r - 2. Is h(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 11*d + 552. Let g(v) = -21*v - 1052. Let y(i) = 6*g(i) + 13*n(i). What is y(-51)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 5. Calculate x(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*p**2 + 144*p - 144*p + (-5*p + 4*p + 3*p)*(-p - p + 0*p) + (4*p + 28*p - 10*p)*(6*p - 3*p - p) to the form y*p**2 + d*p + w and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/6*(-10)\/165*(-30)\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3503766 (base 9) to base 5.\nAnswer: -441024012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -101*t**2 - 3*t - 3. Let o be r(-3). What is the remainder when 4\/(-26) + o\/(-39) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 162*z**2 + z + 2 + 160*z**2. Let o be p(2). Sort o, -1, -6 in descending order.\nAnswer: o, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4) + (-15)\/(-6). Solve -3*d - 4*g - 4 = 2, i*d - 5*g - 21 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8*q - 3*q - q - 5*q. Let r(g) = -50*g**2. Calculate r(m(v)).\nAnswer: -50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1*3*22. Let c = 156 + -146. Suppose 38 = 6*p - 4*p + 2*k, 0 = p + 4*k - c. What is the greatest common divisor of u and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -62.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eil when three letters picked without replacement from {e: 1, d: 1, s: 1, l: 1, i: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + s**4 - s**2 + (-14*s - 2*s - 8*s)*(-s + s - 5*s)*(-2*s**2 - s**2 + 4*s**2).\nAnswer: 121*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 + -1.3. Let c = -5.3 - j. Suppose -18*g = 123 - 105. Sort g, 3, c in decreasing order.\nAnswer: 3, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24393681?\nAnswer: 3, 13, 208493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 425 + 80. Suppose 4*s - 2068 = -3*i, 4*s = 3*i + 10 + 1962. Is n greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 5:45 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 859627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 2 - 2 - -2. Let c = p - 1. Suppose -c*y - x = -4 + 6, -4*x - 20 = -4*y. What is y rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 289370*k - 23721616.\nAnswer: -(k + 82)*(k + 289288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 672766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from hyaupaaxuuhxxyah.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 2*k**2 - k + 7. What is l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -23*f**2 + 8*f - 8. Let s(x) = -8*x**2 + 3*x - 3. Let n(i) = -2*i**2 + 37*i - 10. Let b be n(18). Calculate b*s(u) - 3*o(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24169447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 3*n = 2*n - 215 + 239, 0 = 3*n - 69 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/74 and -13\/643541.\nAnswer: 1287082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:02 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 112.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 6 = 2*v, 0 = -9*q + 2*v + 439 - 426 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68.3 - -68. Let j = -0.3 - -1. Let m = -0.5 + j. What is the closest to m in 1\/4, g, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 154017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40627179.\nAnswer: 3, 4514131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/56 and -127\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4803997 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 square root of 4358657 to the nearest integer?\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x. Let u(s) = -31*s - 28. Let j(o) = -4*g(o) - u(o). What is the first derivative of j(l) wrt l?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 346, 777, 1380?\nAnswer: 2155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 11*o**2 + 22*o + 21. Let v be r(-10). Let k = v + 107. What is the remainder when 14 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. Let l(b) = -2*b - b + 3*b - 6560*b**2. Let y be l(w). What is y rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 9*o**4 - o**3 + 2*o - 20*o**4 + 31*o**4 + 21*o**4 to the form p*o + z + n*o**4 + u*o**2 + g*o**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 499*k - 663. Let h be t(5). What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-13)*s**(19\/5)\/s*s assuming s is positive.\nAnswer: s**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 20*v**2 + 7*v + 98.\nAnswer: -(v - 2)*(2*v + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:19 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (2 + -4)) + (-14 - -17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*y, 4*b - 26 = -2*y - 0*y. What is the highest common divisor of b and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2139 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: Let v(m) = 5343*m**2 - 2768*m**2 - 2573*m**2. Let j(t) = 1326*t - 8. What is v(j(h))?\nAnswer: 3516552*h**2 - 42432*h + 128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 53582321 - 0.3\nAnswer: 53582320.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - -1. Let y = -0.2 + n. Which is the closest to 0? (a) y (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 2*f - 18, 105*p - 33 = 100*p + 2*f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 10*f**2 - 15*f - 11. Let y be c(-10). Let u = y + 803. Suppose o - u = -5*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 plus 696.3107?\nAnswer: 675.3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3 - 3)*(-3*u + 0*u + u) + 2*u**2 + 1 - 1 + 0 + 0 - u**2 + 2*u**2 + 0*u**2 - u**2 + (-3*u + u + u)*(3*u - u - 4*u) + u - u + 2*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 756 and 324?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 11, 27, 59, 113, 195, 311?\n\"Answer: b**3 - b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 22. Suppose 0*m - 18 = -2*m. Let k be y(m). Suppose 5*q + 262 = 3*h + q, k*q = -h + 119. What is h rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*l**3 - 992118*l**2 - 59521680*l\/7 - 127542600\/7.\nAnswer: -2*(l + 70857)*(7*l + 30)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 <= 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 15*w - 12 + 7*w.\nAnswer: -8*w - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25575 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 + 3*o**2 + 53*o - 597. Calculate the least common multiple of 51 and n(9).\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {n: 4, b: 5, v: 1, z: 2, o: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -1, -3 in descending order.\nAnswer: 17, 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 38 = -6. Let v = 111 + i. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975 a factor of 31475925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33845497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**5\/5 + y**4\/6 + 11*y**3\/6 - y**2 - 68*y. Let k(d) = 2*d**3 + d**2 + 6*d - 1. What is -11*k(a) + 6*n(a)?\nAnswer: 2*a**3 + a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:19 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 1 - 6)*(-1 + 1 - 2)*(2*t + 0 + 0) + 2*t + 3 - 3.\nAnswer: -74*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13\/(-13)*(-1 - -14). Let k(y) = -y + 25. What is the remainder when 112 is divided by k(r)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8276 = -x, -1631 - 3353 = -3*m + 4*x. Is 69 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(17\/6)\/w*w**(12\/7))\/(w**(-4\/13)*w\/(w\/((w\/(w*w**(-5\/3)))\/w))) assuming w is positive.\nAnswer: w**(1741\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**3 + 46164 + 46162 - 9*b**3 - 92326.\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5, 0*m + 9 = 2*n + 3*m. Let p be ((-10)\/n)\/((-6)\/18). Calculate the highest common factor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*w, -5*w = 5*x - 2*w - 27. What is the second derivative of 1 + 16*t - 12*t + x - 32*t**3 - 6*t wrt t?\nAnswer: -192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43759.\nAnswer: 43759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s + s**2 + 2 + 1 + 1 + s**2. Let j be f(2). Solve -2*d = -0 + j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75513, 75509, 75505, 75501, 75497?\nAnswer: 75493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1424*a**3 + 110507 - 110507 - 893*a**3.\nAnswer: -2317*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18997*u**3 - 6*u**4 + 18997*u**3 - 244*u**2 - 2342 wrt u.\nAnswer: -24*u**3 - 488*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/391 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 3.3.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.652 rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-49)*18\/(-36). Let s = 0.5 + -2.5. Which is the closest to x? (a) s (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2199 and 25856021.\nAnswer: 25853822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 10*y + 29 = -3*f, 0 = f - 2. Suppose -3*l + 5898 = 3*j, 2*j + 4*l = y*j - 9866. Round j to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 421055 = 164144 - 203505. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1752*c**4 + 570485 with respect to c.\nAnswer: 7008*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r. Let c be w(-3). Is (-874)\/c + 9\/27 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42040, 83015, 123990, 164965, 205940?\nAnswer: 246915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 + 3*f**2 - 2*f + 14. Let t(b) = b**3 - 4*b**2 + 3*b - 15. What is -4*n(s) - 3*t(s)?\nAnswer: -15*s**3 - s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifizitittitzifbziii. What is prob of picking 1 f and 2 z?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1667 - -3605. Suppose 18*l - 11396 = v. What is the lowest common multiple of 14 and l?\nAnswer: 6482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218813000.\nAnswer: 2, 5, 7, 31259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34229 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3321142.2 milliseconds?\nAnswer: 0.9225395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 9*v - 204150 = -5*v, 4*v - 68066 = -g. Suppose 8*u = -6*u + g. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/9589 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 68, 112, 156?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 + -1 - 5537943\/62505?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 2:03 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 18. Suppose -c*y - 57 = -n, 5*n + 10 = 5*y + 75. What is the tens digit of (y\/(-2))\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 83, 2, 5 in increasing order.\nAnswer: -1, 2, 5, 6, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(615\/(-135) - -5)*3\/156?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8438110 is divided by 4236.\nAnswer: 4234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**8\/2016 - 7*g**5\/30 - 14*g**2. Let f(y) be the third derivative of n(y). Let a(t) = 2*t. Give f(a(j)).\nAnswer: 40*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*x - 120*x + 3*c = -126, c = x - 28. Solve 0 = 4*q - d + 16, -96*q + 93*q - x = -3*d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -30?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 - 548 = -3*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 9275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -198, 28, -5.\nAnswer: -198, -5, -1, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 5. Suppose 4*r - 6 - 30 = 0. Let l = 1 + r. What is the lowest common multiple of l and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 24*r**4 - 324638 + 324639 + r**3 + r - 2*r**2 to the form y*r**2 + o*r + x*r**3 + j + l*r**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 4404*y + 26393. What is j(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1477 and 1477?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -20*j + 8*j. Let p(m) = 24*m + 24. Let q(x) = 5*x + 5. What is j*q(h) - 3*p(h)?\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*a - 3*q - 27, 0 = 2*a - 5*q - 26. Suppose 2*r = -5*k + a*k + 12, 4*k - 5*r - 15 = 0. Solve 0 = k*j - 6 + 26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 869007 + -1?\nAnswer: 869006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 88 (base 9) to base 7\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.74 times 115\nAnswer: 85.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 51.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 840410 and 61690.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (23 - -3 - 1) + -7. Solve -3*x - t = 3*p, -13 - 1 = 3*p + x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237994.260276 - -237995. Let u = p + -0.74. Round u to 5 dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -302445 - 23?\nAnswer: -302512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(63))*4.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + z - 9 + 3 = 0, -3*s = z - 22. Suppose -h + k + 3 = s, 0 = -5*h + 4*k - 20. Find the second derivative of -4*d**4 + 2*d**4 - 3*d + h*d wrt d.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = u - 56. Suppose 3*g - 6*g - 2*z + 217 = 0, -g + u = 2*z. List the prime factors of g.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 16. Calculate the remainder when -219*2\/(-12)*2 is divided by r(9).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:36 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*f - 39*f = -5. Is (-10)\/8 + f - (-31178)\/136 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 + -158. Suppose -4*c - v*x + 4*x + 13084 = 0, x + 3271 = c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*r = -395, 4*f + 5*r - 105 = 3*f. Calculate the highest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*s**2 + 159*s**2 - 36*s**2 - 45*s**2 - 42*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6598*k + 191824. Give u(29).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -198.00000531 + 198. What is h rounded to 7 decimal places?\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138410 - -208203. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -323792.2 + 323488.2418. Let m = k - -304. Let q = -0.8562 - m. Round q to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84233588 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8144125 milligrams in micrograms?\nAnswer: 814.4125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 2*s = -7*n + 24, 0 = -n + 4*s - 15. Let z(r) = -2 + 8*r - 4*r - 16*r - r**2. Determine z(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -24523*t - 1373275. Give f(-56).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6615.30206 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -63, -36, -13, 6, 21?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyhhhhphehhhhyhpphh. Give prob of picking 1 p and 3 h.\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + j**2 - 1. Let u(d) = 10*d**3 - d**2 + 1. Give -2*p(c) - 2*u(c).\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*12\/33?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50167 + -50165. Factor 2\/5*j**w + 8\/5*j - 2.\nAnswer: 2*(j - 1)*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5067 = 18*x - 2799. What are the prime factors of x?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 172982430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(420\/(-90)))\/(1134\/(-36))?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-20)\/100*29.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 5. Suppose -18*t = -b*t - 220. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 353*a - 671*a + 809*a.\nAnswer: 491*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 3808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*z + 13 + 8 = 0, 3*f - 5*z = 28. Suppose -4*q + 8 = 4*k - 4, 0 = -3*q + 9. What is the units digit of 181 + k\/(-2 - f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/16)\/(((-1)\/12)\/(-26 - (-6356)\/252))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66110366*r + 297403177?\nAnswer: -66110366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 3*z**2 - 3*z**2)*(z**2 - 3*z**2 + 3*z**2) - 17 + 5*z**4 + 17 + (-4*z**3 + 3*z**3 + 2*z**3)*(-2*z + 2*z + 2*z).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.375 + -3.35. Let m = g - 0.225. Let y = 1 + -1. Put -1\/10, y, 0.3, m in decreasing order.\nAnswer: 0.3, y, -1\/10, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*w + 7. Let v = -7.2 - -7.3. Which is the nearest to v? (a) 4 (b) 3\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n - 3. Let q(l) = 1. Let v be ((-4)\/2)\/((-1)\/(-1)). Let b(t) = v*q(t) - a(t). Let f(u) = -3*u - 1. What is 5*b(o) + 6*f(o)?\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3593, 3595, 3597, 3599, 3601?\nAnswer: 3603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-42)*672\/210.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 79*f + 40. Let i be m(40). Let w = 11 + -16. Let z = -9 - -14. Sort 2, z, w, i in decreasing order.\nAnswer: z, 2, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -634*f. Let d(k) = -20462*k. Calculate a(d(c)).\nAnswer: 12972908*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k + 4. Let p be h(2). Suppose 4*q = -m - 3, 0*m + 2*q = m - 9. Solve m = -p*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 159 - 68. What is the remainder when b is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317884.2ng in micrograms?\nAnswer: 317.8842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 7*n**2 - 6*n + 3. Let t be p(-6). Is 17 a factor of (34\/(-8))\/(t\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 7:53 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.234 - -3412.\nAnswer: 3411.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -40 - 53) + -14.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 5)*(-2887 + 3820 + 5232)*(-2 + 3 + 1)*(2*s - 2*s + s**3) to w + y*s + c*s**3 + h*s**2 and give c.\nAnswer: 12330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (45 + -20 + -14 - 5 - -1) + 14\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(228) - 2*sqrt(228)) + -6*sqrt(228)*-1)\/(sqrt(108)*6 - (sqrt(84)\/(sqrt(14)\/sqrt(2)) + sqrt(12))))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.009 to zero decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2380 divided by 4?\nAnswer: -595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(sqrt(2) + -1*sqrt(2)) + -4)**2 - (((sqrt(12)*2)\/sqrt(6) - sqrt(2))**2 - (sqrt(224)\/sqrt(7))**2).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -3. Suppose 16 = 3*p + t*d, -p = 4*d - 5*d. Suppose 11 = p*x + 1. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 24 + 3 = 0. Suppose 0 = -i*k + 12. What is the least common multiple of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*l + 2*l - 141 = -12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -747 (b) -3\/5 (c) 0.03 (d) -3 (e) -0.03 (f) -3623\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/8 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 14*c**2 + 143*c + 16. Let m be l(-21). Let g(z) = 6*z**2 - 5*z - 9. Let p be g(7). What is the highest common divisor of p and m?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 15*m**3 + 2*m**2 - 2*m - 1. Let f(n) = n**3 + 7*n**2 - 15*n - 77. Calculate the remainder when i(2) is divided by f(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*n - 20. Let l(k) = k - 1. Let u be l(n). Let r = -1.84 + 2.84. Put -1, r, u in decreasing order.\nAnswer: r, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6883682452 - 52.\nAnswer: 6883682400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -643 - -1014. Let x = -367 + c. Solve -6 = x*z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -862479*g**5 + 1640*g + 76.\nAnswer: -17249580*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 25*v - 106. Let h be a(-18). What is the greatest common divisor of h and 1334?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -1 (b) 2324 (c) -2\/9 (d) -2 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -477*p**2 - 6*p - 3 + 478*p**2 + 1 + p**3 as u*p**3 + q*p**2 + x + y*p and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 40. Let p be (-11*(-2)\/b)\/(7\/21). Let y(h) = -h**3 - 8*h**2 + 11*h - 22. Is 22 a factor of y(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (3 + -2) - (-2 + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) -1 (c) -53 (d) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b - 228456 = -86*b. Calculate the greatest common factor of 36 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 - 163*l + 14. Give a(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(5 + 16\/(-3))*78. Let n = 86 + h. Let y(w) = w - 5. Give y(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/36 and -4*(4 + -3) + 13\/(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79345463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i. Let b be (-4)\/6 + 88\/141. Are b and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r = 13*r + 32 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34, 32, 28, 22, 14, 4, -8?\n\"Answer: -l**2 + l + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1119.096 - -0.096. Let r = v + 1119.0994. Round r to 3 dps.\nAnswer: 0.099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((540\/45)\/12)\/(6*(-2)\/45)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 598 - -355. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -242.079 + 247.33. Round w to 2 decimal places.\nAnswer: 5.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191228 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5869870 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f*r**4*u + 11*f*r**3 + 2*f*r*u + 2*f*u - 4169*r**4 + r**2*u + 28654*r**2 - 2*r wrt r.\nAnswer: 192*f*r*u + 66*f - 100056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -681637, -1363274, -2044911, -2726548?\n\"Answer: -681637*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -110111111000011101100001?\nAnswer: 110111111000011101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*j + 1731 = 248, 0 = -4*n + 3*j + 1983. Calculate the lowest common multiple of 4 and n.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240021 (base 5) to base 6.\nAnswer: 104321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:33 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 15 - 33 + 26)*(0*l + 0*l + l)*(-3 - 2 + 3).\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 1:12 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 77*k - 1287. What is q(18)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2964.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.43, -0.7, 0.04 in descending order.\nAnswer: 0.04, -0.43, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5367269.\nAnswer: 41, 109, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(144) - (1*sqrt(144) + sqrt(144)))\/(sqrt(12) + (sqrt(132) - (1*sqrt(132) + sqrt(132)))\/sqrt(11) + sqrt(12))).\nAnswer: 9 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29976 divided by -24.\nAnswer: -1249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x + 3. Let l be d(5). Let r = l + 1. What is the highest common divisor of r and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -0.0616568321\nAnswer: -0.1616568321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9)\/(40\/120).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p + 0*p + 0*p - 2*p. Let m(d) = 2*d**2. What is m(v(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**7\/2520 - 11*n**6\/720 - 37*n**5\/60 + 14*n**2 - 1. Let t(g) be the third derivative of h(g). Determine t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -7*g**4\/4 - g**2 + 63. Let i(z) = 27*z**3 + 9*z. Determine -9*f(m) - 2*i(m).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 743909746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/24 and -113\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*18 + 7 + -10. Let d = a - 10. Suppose 0 = -d*g - r - 11, 3*g + r + 7 = -0. What is the third biggest value in 0.5, g, 1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 - 45*p**2 - 232*p + 70. Give r(19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -4, 93, -29, 2 in decreasing order.\nAnswer: 93, 3, 2, -2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(704) + -2 + -5)**2 - -5*(-4 + sqrt(99)*-5).\nAnswer: -267*sqrt(11) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -386583758.\nAnswer: -1\/193291879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -4041052*t. Let y(d) = 8*d**2. What is w(y(x))?\nAnswer: -32328416*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3790 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -1\/4*y**3 + 0*y**2 - 1\/4*y**4 + 0 + 0*y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1982938800 to the power of 1\/3, to the nearest integer?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/9 + 4*a**2\/9 + 2*a\/3.\nAnswer: -2*a*(a - 3)*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9847.572 millennia?\nAnswer: 98475.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)\/o)\/((o**2\/o)\/o*o))\/(o*o**(1\/5)*o)**(-1\/17)*o**6\/((o\/(o\/o**(-7)))\/o)*(o\/(o**4\/o*o)*o*o*o)\/o*o**(3\/8) assuming o is positive.\nAnswer: o**(5783\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 99 - 6. Let l = m + 36. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5116183*r*w**2 - 2*r*w - 6052475*w**2 wrt r?\nAnswer: -5116183*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.7 - -30.3. Let x = 21.60000029 - f. What is x rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20948, 20942, 20926, 20894, 20840, 20758?\nAnswer: 20642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 392.7658 years to millennia.\nAnswer: 0.3927658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12471, 12369, 12267, 12165, 12063?\n\"Answer: -102*b + 12573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 56. Let y be (-15)\/v + 39\/(-8). Do 0.04 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35585886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1244\/3 or -414?\nAnswer: -1244\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 106407*p**2. Let b(k) = -1140*k**2. Give z(b(t)).\nAnswer: 138286537200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2\/y**(-1\/7))\/(y**(-2\/5)\/y*y)**(-36))**(1\/11) assuming y is positive.\nAnswer: y**(-39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*1)\/sqrt(7))\/(sqrt(300)*6).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2. Let r(h) = 761*h. Determine a(r(k)).\nAnswer: -1737363*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3210 and 8.\nAnswer: 12840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4395714 divided by -3657?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 927*k + 4 - 934*k + 2746*k - 908*k.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/(4\/6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 158871 + -158869. Suppose 3\/4*v**t + 0 + 3\/8*v**3 - 3*v = 0. What is v?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:32 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/44? (a) -0.07 (b) -5 (c) 1\/1060\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d - 34 + 34*d - 18 + 38 to the form q*d + p and give q.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(-2)\/i)\/i*i*i**(-1\/3)*i)\/(i**4\/(i**(2\/11)*i))*(i**(-1)\/i)**(-35)*(i\/i**(-4))\/i**(-6) assuming i is positive.\nAnswer: i**(2536\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*a + 2*j + 1120015, 2800010 = -5*a - 2*j. What is a rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**3 - 4*a**2 + 4*a + 5. Suppose -k + 11*w - 10*w = -2, 5*w = k - 18. Let p be c(k). Calculate the greatest common divisor of p and 377.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*l**2 - 18 + 18.\nAnswer: -71*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 2*v + 8. Let u be m(-4). Which is greater: 3\/19 or u?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 6 = 0, -4*h + 16 = 2*m - 8*h. Suppose 0 = 3*f - 2*f, -4*o - m*f + 8 = 0. What is the first derivative of 14 + 3*u + u - o*u + 8*u wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228 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: Simplify 2*(6*(sqrt(1224) + -1*sqrt(1224) + sqrt(1224)))\/(-1*sqrt(72) + sqrt(72) - sqrt(72) - sqrt(32)*2)*-2.\nAnswer: 72*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122100022112 - 10?\nAnswer: 122100022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 11. Let g be n(6). Suppose -4*z + 2*l = 0, 0 = -0*z + 3*z + 2*l - 14. Suppose -3*v + 19 = -z. Calculate the greatest common factor of v and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29046 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2043952035?\nAnswer: 3, 5, 653, 208673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 c when four letters picked without replacement from {u: 2, y: 1, c: 9, w: 1}?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 25 - 5. Let b = -6 - u. Calculate the greatest common divisor of 28 and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 - -81. Calculate the highest common divisor of 30 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64 and 144.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxbb when four letters picked without replacement from {b: 2, j: 4, x: 7}.\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 15, -8*m + 5*r + 2002 = -7*m. What are the prime factors of m?\nAnswer: 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-2\/17)))\/(d**(1\/17)*d*d)*d**(2\/23)\/d*d*d**(-24))**(6\/11) assuming d is positive.\nAnswer: d**(-61206\/4301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 24*j**2 - 1. Let c be 4 - (-6)\/5*-5. What are the prime factors of v(c)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65\/76 + -2\/19. Let h = 6.581 + 0.019. Let f = -2.6 + h. What is the fourth smallest value in -4, 0.4, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 2*d**2 + d. Let f(n) = 11*n**3 - 12*n**2 + 18*n - 1. What is -f(x) + 6*o(x)?\nAnswer: -23*x**3 - 12*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48862664689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = l, 3*g + 3*l = -3 - 0. Let r = g + 2. Suppose r*b = -2*b + 10. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*2*6)\/sqrt(7) + 5*sqrt(152)\/sqrt(2))**2.\nAnswer: 9196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 702 = -9*z. Calculate the smallest common multiple of 6 and z.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.4 + 54. Let c = j + 6.4. Let n = c + 0. Is n > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**5 - 65*t**4 + 210*t**3 - 290*t**2 + 185*t - 45.\nAnswer: 5*(t - 9)*(t - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*l - 27*l - 10 + 4*l**2 + 63*l - 152*l**3 + 153*l**3 as z*l**3 + b*l**2 + u + w*l and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -65606194.\nAnswer: 7\/65606194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 times 4050?\nAnswer: -238950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 0.11431, 3.\nAnswer: 0.11431, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161902750 to the power of 1\/2, to the nearest integer?\nAnswer: 34087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49220 * -0.057.\nAnswer: -2805.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/213 and 64\/918925?\nAnswer: 195731025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -862*b - 22866 - 23500 = 7078 for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 88*n - 1895. Determine f(44).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -3)\/(8\/(-16)). Let x be (1\/z)\/((-7)\/(-2)). Is -1 greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k - 3. Let h be s(2). Let g(l) be the third derivative of 1\/120*l**6 + 0*l**3 + 0 - 1\/10*l**5 + 24*l**2 + 0*l + 1\/4*l**4. Calculate g(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/4*(-2)\/(-90)*-6)\/(5494\/(-335))\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*j + 6*j. Calculate the remainder when 61 is divided by (-29)\/(j + 18\/12*3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/((c*c\/c**(1\/3))\/c))*c)*c*c**2*c**(-2\/7)\/c*c**(-2\/3))**(-5\/2) assuming c is positive.\nAnswer: c**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -814, 5, -62.9 in increasing order.\nAnswer: -814, -62.9, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2471820*w**2 - 4*w. Let i(o) = -2*o. Calculate i(y(f)).\nAnswer: 4943640*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.2 to 0 decimal places.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1123 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -782 (c) 1\/10 (d) 0.02 (e) -32 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.136 (b) -6 (c) 4 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3*x - 5 = 0, 0 = 4*i - 4*x + 12. Let d(a) = a + 1. Let j(h) = -5*h - 5. What is i*d(o) - j(o)?\nAnswer: 3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 102 = -4*g. Let u(l) = 20*l**3 - 17*l**2. Let s(c) be the second derivative of -7*c**5\/20 + c**4\/2 - 4*c. Give g*s(k) + 6*u(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47800000 rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (10 + 0)\/(20 + (-13640)\/704)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6168.078 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 805303640 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -286696, -573399, -860098, -1146793, -1433484, -1720171?\nAnswer: -2006854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 + 267*l**4 + 1389*l**3 + 1965*l**2 + 846*l = 0. What is l?\nAnswer: -3, -1, 0, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, d: 3, u: 5}. What is prob of picking 1 c and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 2, u: 2, q: 4, i: 3, c: 3}. What is prob of sequence qu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1300) + 1 + 2*(sqrt(1300) + -1))*2)**2.\nAnswer: -320*sqrt(13) + 83204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 91917728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 6*f + 3*t = -17, -3*t + 25 = 4*f. Let o = -4 - -7. Suppose o*n - f*n - 4*p = -800, 5*n + 3*p = 996. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4858861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 402833273, 805666547, 1208499821, 1611333095, 2014166369?\n\"Answer: 402833274*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4489 is divided by 1236?\nAnswer: 781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 437 - 430. Suppose 0 = -t*m + 641 + 913. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(114))\/(sqrt(294) + sqrt(294)*-2).\nAnswer: -4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -6 (b) -4 (c) -15\/7 (d) 1\/5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105 - 15875?\nAnswer: -15770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -28, -63, 14, 0 in descending order.\nAnswer: 14, 0, -3, -5, -28, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915*s + 2374*s - 22032 = 12984 for s.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40486004 divided by -393068.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 4*j**3 - 3*j**3 + 0*j**3 + 0*j**3 - 2*j**3 + 4*j**3 - 3*j**3 - 2*j**3 + (3*j**2 + 0*j**2 - 5*j**2)*(1 - 1 + 2*j) - 6*j**3 + 4*j**3 + 4*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1744464\nAnswer: 348892.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5))**(-3\/25)\/((q**(-3\/4)\/q)\/q**(7\/2)) assuming q is positive.\nAnswer: q**(2649\/500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-3)\/(-9))\/((-31)\/(-372) + 10\/20)?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 + 104 + -28 + 0 + 2 + 68?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 13*b**2 + 14*b + 365. Is h(-108) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(208)) + 0 - sqrt(104)\/(sqrt(8)*2).\nAnswer: -7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -c - 5*s - 640, -8 = -2*s. Suppose 0 = 4*v - v - c. Let m = 80 - v. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 594*l**2 - 472823*l - 796.\nAnswer: (l - 796)*(594*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61.1 - -24324797565.\nAnswer: 24324797503.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 671*m**7\/7 - 4*m**3\/3 + 64*m + 2890. What is the third derivative of r(o) wrt o?\nAnswer: 80520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjzzzzjjjmjaacac. What is prob of sequence jcjj?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 366 - 120*c - 2\/3*c**2.\nAnswer: -2*(c - 3)*(c + 183)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1451528 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 152393*y - 1066477. Determine p(7).\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15533754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -2 - (7 + -5 + -9). Suppose -5*l + 6*l + 2 = 0, 0 = h*k - 5*l - 4. Which is the second smallest value? (a) k (b) -0.4 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1926)\/(-12)*(-4)\/(-6). Suppose a + 0*a - 3*o = 12, -5*o + 14 = 4*a. Let q = b - a. Does 38 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 d when three letters picked without replacement from {x: 4, d: 14}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*s**3 + 4039*s**2 + 24780 wrt s?\nAnswer: 6*s**2 + 8078*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4473194, -4472987, -4472778, -4472567, -4472354?\n\"Answer: u**2 + 204*u - 4473399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 6*a**2 + 5*a + 1. Let n be c(5). Let s = -224 - -246. What is the tens digit of 2\/n - (2 - s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, and 2 c when four letters picked without replacement from {p: 4, j: 1, c: 2, e: 2}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - o - 14. Give w(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27323211 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + 0 + (-14 - -38 - 26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90883201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (157*-15)\/(15\/4000*-2). What is v rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3\/3109 - -727521\/15545. Let k = t - 140\/3. What is the second smallest value in 1, -2\/5, 0.8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1)\/(6\/132)*((-7650)\/60)\/(-85).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: (19\/(-247)*-923)\/(2*(-5)\/30*-3)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40\/93? (a) -2\/109 (b) 5 (c) -1\/139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -15*n**2 - 198*n - 42. Calculate c(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 4. Suppose 0 = -4*k + 11 - 3. Let p(r) = 5*r + 4. Calculate k*p(q) - 3*f(q).\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101580062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357416?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 170698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*v - 3591 - 26*v**2 - 50*v + 1372 wrt v.\nAnswer: -52*v - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2615884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.906 times -4798?\nAnswer: -9144.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -28. Suppose -s = -g + 13. Calculate the lowest common multiple of g and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/10*10\/(-6). Let c = -8 + 12. Is s at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 a factor of 14563518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6023*w - 22. Is o(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 759 - 3793\/5. Which is the closest to -12? (a) 0.3 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 53293\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 187*f + 2 = 189*f, 16 = -4*j + 4*f for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.9, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:17 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 + 158*z**2 + 3198*z + 3042 = 0. What is z?\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 2*f**2 - 20*f + 4. Calculate o(-5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/316 and 34\/1501.\nAnswer: 6004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**3 + 2*l**3 - 82*l**4 + l + 49*l**4 + l**3 + 2 to the form p*l**4 + c*l + k*l**3 + t*l**2 + a and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 151 + 93. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - t = 28. Differentiate 3*c**t + 1 + 5*c**4 + 18*c**4 - 10 with respect to c.\nAnswer: 104*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 10 = -26. Solve -8 - 17*c**3 - 17*c**2 - 7*c**y - 58*c**2 - 27*c**3 - 189*c + 143*c = 0.\nAnswer: -4, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1106 = -28*o + 1358. Calculate the lowest common multiple of o and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10593738739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by 45?\nAnswer: -38\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 2*i**2 - 5*i - 3. Let y be c(-3). Solve y*z + 20 = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.027 + 13.973. Which is the fourth smallest value? (a) -4 (b) -0.2 (c) -0.4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:30 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.2 (c) 0.1 (d) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*y - 3*d - 9 = 0, -y = 5*d + 19 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = 2. Let a(z) be the first derivative of 0*z + 0*z**2 - 1\/3*z**j + 2. Solve a(r) = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3402)\/(-252)*8*2\/(-8)*2?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 5699\/843?\nAnswer: 5699\/843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.30152 years?\nAnswer: 0.00230152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/3725 in -1, 0.3, 3, 11\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102022201201 (base 3) to base 13.\nAnswer: 7a5a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 325 + 2?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*x - 85*x - 1328. What is the remainder when x is divided by 31?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111323 (base 5) in base 4?\nAnswer: -331323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-72)\/(-39) - 432\/(-1755).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, g: 15}. Give prob of sequence zgzg.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:53 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10098 and 23.\nAnswer: 232254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*q - 3 = 0. Let n(b) = b**3 + 3*b**2 + 3. Let p be n(q). Suppose p*s + 79 = 4*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/116621873 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10010533103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1248\/117 - 12) + 213\/126.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 20 = -13*m + 15*m, -4*m + 4*k + 4 = 0. Which is the second smallest value? (a) 2\/5 (b) -223 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301 = -22*i + 153 + 192 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from rrrrnrrnsxdgrg.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let i(c) = -23*c**2 - 22*c - 15. Let p(d) = -21*d**2 - 2 + 12*d + 0*d + 10 + 33*d**2. Let u(q) = -6*i(q) - 11*p(q). Calculate r(u(j)).\nAnswer: 6*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.092614us to seconds.\nAnswer: 0.000003092614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y - 1736 = -1708 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/5 - 4\/5.\nAnswer: (f - 2)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26084167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2324 = -2*s - 3*f, -2*s + 5*f = f + 2352. Let v = 2151 + s. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (10\/8)\/(-1). Let x = -0.587656 + 0.387656. What is the biggest value in m, 2\/3, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.644 - 0.056. Let r = -1.3 + v. Let w = 0.41 - -0.09. Sort -3, w, r in increasing order.\nAnswer: r, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-18) - 13\/117)\/(35\/210).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5413016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*u + 67, q - 32 = u - 2*u. Suppose 25*z + 332 = q*z. List the prime factors of z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 317973 = -7*r - 317949, -r + 7 = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -82819063986 - -0.3?\nAnswer: -82819063985.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + 3. Suppose 12 = 2*d - h. Suppose -5*l + d*l - 45 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60139847 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1156*j + 6 + 4*j**2 - j**2 - 2*j**2 + 1145*j. Suppose 0 = -d - y + 11, -5*y + 0*y = 3*d - 41. Calculate l(d).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6653*q - 16. Let w be f(2). Suppose 0 = -4*i - i + k + 13260, -5*i - 5*k + w = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/70*-7)\/((-2)\/(-40)*-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-501328)\/(-20) - (14 + 1020\/(-75))?\nAnswer: 2, 83, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d + 38*d - 107*d + 33*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -6*z**3 - 17*z**2 + 1 + 17*z**2. What is v(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12070, -24233, -36398, -48565?\n\"Answer: -y**2 - 12160*y + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 0, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 1) + -28 + 35\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*m + 0*m = 11, 5*m - 19 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4187\/3 + 1396. Let y(r) be the first derivative of -15 + p*r**3 - 5\/2*r**2 - 7*r. Give y(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 4841786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 92*l**2 - 93*l**2 - l + 2*l - 35. Let j(g) = g - 2. Give 3*j(f) + 2*o(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.8 + -11.2. Let f = 12 + -8. What is the second smallest value in w, f, -8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252 + 33. List the prime factors of z.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**2 - 7*w + 2. Let l be q(-6). Solve 0 = -l*t + t - 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -166918, -667824, -1502720, -2671606, -4174482?\n\"Answer: -166995*d**2 + 79*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34360 divided by -20?\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 - 4*p**3 + 3*p**2 + 8*p**3 - 12*p**3 + p - 10*p**3 - 1 to a*p**3 + m*p + u*p**2 + w*p**4 + i and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 556518?\nAnswer: 1113036","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 20*q**2 - 34*q - 34. Let o be w(18). Let v = 4 - 0. Which is the smallest value? (a) -1\/2 (b) o (c) v (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + 2*j**2)*(29 + 38 - 29).\nAnswer: 76*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 30 = 15. Let n = -43 - x. Factor 0*i + 3\/5 - 3\/5*i**n.\nAnswer: -3*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 19*h + 363. Let l be q(-17). Solve 13*v - 23*v - l = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100108 and 348.\nAnswer: 300324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2001 (b) -0.017 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 1}. What is prob of sequence vmv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22393.422613681 from -0.3.\nAnswer: 22393.122613681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 90034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 + 5 = 0. Suppose 42 = 3*o - 3*l, 3*l = -o + k*o - 16. Suppose 0*z + z = o. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5714816.\nAnswer: 2, 44647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 1. Let w = 9 + -4. Let n be v(w). Let k(q) = -q**3 - 5*q**2 - 3*q + 3. Determine k(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218841?\nAnswer: 3, 7, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1367, 2737, 4119, 5519, 6943, 8397?\n\"Answer: x**3 + 1363*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11434001 - 0?\nAnswer: -11434001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*t = 331*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, r: 1, z: 4, v: 1, b: 1, p: 1}. Give prob of picking 1 p, 1 z, and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -155, 3*f + 582*i - 571*i - 332 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6802.\nAnswer: 2, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**2 - 10*x - 5. Is k(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-6\/5)\/o*o)\/o)\/o)\/(o*o\/((o\/o**6)\/o))*(o**9\/o)\/(o*o\/(o\/((o\/(o\/(o*o\/(o*o**(-2\/31)))))\/o*o))))**19 assuming o is positive.\nAnswer: o**(-15504\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1\/511.\nAnswer: -5, -1, 1\/511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12290 + 13096 = -1207*r + 1246 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3306, -3172, -2920, -2550, -2062, -1456?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1770?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 8*g**2 + 8*g - 8. Let b be m(7). Let q(f) = 4 + 104*f - 1 - 2 + 38*f. Let y be q(b). What is y rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7103, 7103, 6947, 6557, 5855, 4763?\n\"Answer: -13*v**3 + 91*v + 7025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*g = 3365, 5*s - 5*g - 4215 = -10*g. Let v = s + -838. Solve -3*k - 2*o + 21 = 0, -5*o = v*k - 4*o - 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*i, -7*m + 12*m = 2*i + 31 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -s**8\/168 - 23*s**6\/120 + s**4\/24 - 6*s**3 - 29*s**2. What is the second derivative of z(b) wrt b?\nAnswer: -40*b**3 - 138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaj when three letters picked without replacement from {c: 3, j: 3, z: 1, a: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11631 - -11636. Solve -1116*g + 1111*g + f = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(-18)\/(q**(-6))**(-20) assuming q is positive.\nAnswer: q**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147167199.\nAnswer: 3, 29, 31, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 32 + 122 = 0. Let g = 38 - b. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 10*d + 6. Let l be g(1). Suppose -l*c = -27*c + 88. Let q be 37 + -1*(1 - 0). Solve -c = 2*k - 5*k + w, 4*k - q = -5*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -527 - -596. Suppose 0 = -77*c + 74*c + s. Which is smaller: 29 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 158459?\nAnswer: -316918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + sqrt(5) + 1 - (sqrt(80) + 1 + sqrt(5)))**2 - (2*sqrt(50)*-2)\/(sqrt(10) - -2*sqrt(360)).\nAnswer: -516*sqrt(5)\/13 + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 34653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0)\/(-1 - -3). Let o be ((-1)\/3)\/((-10)\/60). Sort v, o, 1 in descending order.\nAnswer: o, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-5 - -2) + (-16 - -22) + -42.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**3\/3 - 3*s**2\/2 - s + 4. Let b be w(4). Sort -4, b, -3 in descending order.\nAnswer: b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.1, 14\/11, -2, -0.4.\nAnswer: -4.1, -2, -0.4, 14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207*0.21.\nAnswer: 43.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + s - 7, -2*p + 0*p - 1 = -3*s. Suppose f = -p*f + 125. Suppose o = m + 5, f = -0*o + 5*o + 5*m. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 109393923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 = -5*l - 2*v - 231, 5*v = l - 70. What is the least common multiple of 40 and l?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(156)*-3 + (sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156)*-3))*2))\/((sqrt(48)\/sqrt(4) + sqrt(12) - sqrt(12))*-6 - sqrt(12)*1*-2).\nAnswer: 11*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011100 (base 2) in base 16?\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/6 - 360290*q\/3 - 64904442050\/3.\nAnswer: -(q + 360290)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.97 + 0.87. Let x = a + 0.1. Let h = x + 4.00005. What is h rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1676.68474 to one dp.\nAnswer: 1676.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212237627 to the nearest integer?\nAnswer: 14568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 690794?\nAnswer: -15\/690794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -334 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3338, 847, 7822, 17587, 30142, 45487, 63622?\nAnswer: 84547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 917*f + 93498. Determine d(-102).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -1737639 in increasing order.\nAnswer: -1737639, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/500*89\/((-96832)\/128).\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36098 by 14.\nAnswer: 18049\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -1\/4, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in months?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o + 86. Let g be u(-15). Is 154 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 131*y**2 - 222*y**2 + 95*y**2 - 14.\nAnswer: -258*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:35 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 8 = 5*u, -5*u - 2*a - 34 + 30 = 0. Let n(y) be the second derivative of -8*y + 1\/2*y**2 + u + 1\/6*y**3. What is n(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130724 + 2*k**3 + 130724.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 15*m = 61632. Suppose -m = -9*a - 7*a. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*h - 12, 11 = 2*h + 3. Let n be -2*((-1 - 1) + 0). Sort -1, c, n in increasing order.\nAnswer: -1, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 59304571732906 and -0.09?\nAnswer: 59304571732906.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4 + 384*v**3\/5 - 522*v**2\/5 + 148*v\/5 = 0. What is v?\nAnswer: 0, 2\/5, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*v**3 + 57*v**3 - 5*v**3.\nAnswer: 90*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -0*y - y + 6, -5*y + 3*k + 7 = 0. Suppose -y*c = -0*c - 4. Suppose -c*b = 5*u - 126, -4*u - 2 + 18 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = 2*l + 16, 4*l = 3*f - 14219 + 14215 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 2*d + 102, -4*m - 4*d = -6*d + 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 202, 251, 304, 361?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 - 12*p**2 + 59*p - 37. Give w(4).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697336.\nAnswer: 2, 67, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6495, 12813, 18959, 24933, 30735, 36365?\nAnswer: 41823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/10 + 15*(-148)\/(-2100). What is the smallest value in 3, -0.27, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l = 53*l + 144. Let a(n) = n**3 - 23*n**2 - 27*n + 39. Let p be a(l). Let k(h) = h**2 + h - 33. Let w be k(0). Is p bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -2632, 4\/11, 3\/7, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 220\/160 + -1 - (-42)\/16. Solve 3*n - 2 = -5*f, n - 7 = -5*f - i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 - 10*o**2 - 137*o\/3 + 56.\nAnswer: -(o - 1)*(o + 7)*(o + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6858 divided by -6\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2009430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-4550)\/(-57))\/5 + 888\/25308\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -24*p + 454. What is z(7)?\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 2*s - 1206 + 1167 = 0, 5*j = 4*s + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*4*-2*sqrt(8))\/(sqrt(4)*-1*6 - sqrt(8)\/sqrt(2)*3))**2.\nAnswer: -10240\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*-1)*-4)\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(3) + 1 - sqrt(3))*-3 + 3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 74474*m**3*z**3 + 3*m**3 - 2*m*z**4 + 67727*m wrt z?\nAnswer: 223422*m**3*z**2 - 8*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2407936*j**6 - 159*j**4 + 7*j**2 + 222576*j + 16.\nAnswer: -288952320*j**3 - 3816*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x - 1. Suppose 4*n = -8*l + 12*l - 4, n - 3 = -l. Let f(k) = 23*k - 2 - 6*k - 18*k + l. Calculate w(f(a)).\nAnswer: -10*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46 + -63. Let c = 23 + o. Let h be -4 + 36\/c - (-10)\/(-4). What is the closest to 13 in 2\/7, -2\/15, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((6*1*sqrt(1700) + sqrt(1700) - sqrt(1700)) + sqrt(1700)) + -1)**2 + 0.\nAnswer: 560*sqrt(17) + 1332801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*i + 52790*i**2 - 12*i - 52787*i**2 to u*i + n + z*i**2 and give u.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -888, -834, -794, -774, -780, -818?\n\"Answer: -z**3 - z**2 + 64*z - 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185 - 186. Is 2.8 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) - 4*(sqrt(1008) + sqrt(1008)*1))**2.\nAnswer: 49392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -85273718*n**3 - 90809*n**2 - 25*n wrt n?\nAnswer: -511642308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-9) - (-69)\/9. Let f(p) = p - 7*p + 3*p**2 + 6*p**2 - p**3 - 9. List the prime factors of f(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 2*v + (4 + 2*v - 4)*(2 - 2 - 2) + v - 2*v + 0*v + 6 + 0*v + v - 4.\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209 + -215 - (-4 - -4 - -8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 11:13 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**3 + 2*i**2 - 4. Let r(v) = -1. Let s = -2 + 1. Let z(d) = s*u(d) + 4*r(d). Solve z(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6*(253470\/36)\/(-35)?\nAnswer: 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k + 4 = 2*l, -5*k = -l - 1. Let g(w) be the second derivative of 0*w**2 + 2*w + 1\/6*w**l + 0 - 1\/3*w**3. Find z, given that g(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/8)\/((1\/20)\/(260\/(-1950))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 912 - 2028. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) -0.1 (c) -2999\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -229 (c) 5 (d) -1\/11 (e) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**5 + 235*r**4 - 21390*r**3.\nAnswer: 5*r**3*(r - 46)*(r + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {p: 2, y: 2, k: 1, t: 1, g: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 378 (base 16) to base 5\nAnswer: 12023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3 = 2*r - 3, 19 = -2*z + 3*r. Let g be 0\/(-1 + 2 + z). Sort 2, g, -3 in ascending order.\nAnswer: -3, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -g - 3*p + 79, 3*g = -4*p + 257. What is the remainder when 286 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/54 - (-350)\/90. Factor -1\/3*p**2 - 4\/3*p**5 - t*p**4 + 1\/3*p + 0 - 3*p**3.\nAnswer: -p*(p + 1)**3*(4*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.049647 * -12803\nAnswer: -635.630541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-289)\/(-17) - (-5)\/(10\/(-12)). Let t(y) = y**3 - 11*y**2 + 5. Calculate t(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421 less than or equal to 18.587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + -7 - -3)*-1. Let b(o) = o**2 - 3*o. Suppose u + 5 = -2*c, c + c - 3*u + 9 = 0. Let x be b(c). What is the greatest common factor of n and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4.78, 0.1, 4, 5.\nAnswer: -4.78, -1\/4, 0.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**3 - 4*i**2 - 2*i + 2. Suppose -4 = -2*a - 2*a, 3*g = -3*a - 3. What is the smallest common multiple of z(g) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11282340 by -65595.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 713.1488 litres in millilitres?\nAnswer: 713148.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*i + 7533 = 96*i - 1671 - 756 for i.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1104 - 1103. Let n(f) = -3*f**3 - f - 1. Let r be n(-1). Sort r, 9, w in descending order.\nAnswer: 9, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 3*h**2 + (2*h**2 - 2*h + 2*h)*(-5 - 1 + 5) in the form w*h + v + b*h**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 13) in base 10?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-42)\/(-48)*4 - 1\/(-2). Put d, 2, 28 in decreasing order.\nAnswer: 28, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 592 - 592.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(((u*u\/(u*u**1))\/u*u)\/u))**23*(u\/(u\/u**(-9)*u))\/(u*u**5) assuming u is positive.\nAnswer: u**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p + 831 = 1844 - 903 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4695\/13 + 361. Let n = -7\/3 + 3. Let d = n - 4\/3. What is the biggest value in 5, d, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -34*w**2 + 3. Let i(c) = 24*c**2 - 1. Let l(u) = 2*i(u) + o(u). Calculate l(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((468\/(-156)*2\/(-12))\/(-19)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 23. Is l(6) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/15)\/(-4 + (-185)\/(-45)). Solve -9 + 6 = v*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1281730 or -0.051?\nAnswer: 1281730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/42332 and 121\/1625412.\nAnswer: 905354484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4 - 2. Suppose v = 6*v - 15. Suppose 104 = 4*b + 96. Solve 5*n + v = -3*o - p, -5*o - b*n = -17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/15 - 2*z**4\/9 - 10*z. Factor w(p).\nAnswer: 4*p**2*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((19\/12 - 1)*-2427)\/((-5576)\/44608) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 1. Let y be ((-12)\/8 + 0)*-2. Let s(j) = -2. Let i be -6 + (-6)\/(-3) + (-141)\/(-3). Let t = 42 - i. What is t*s(c) + y*w(c)?\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 310*k**3 + 0*k**4 + k**4 - 300*k**3 - 11*k**2 + (-k**3 + 2*k**3 + k**3)*(5 + k - 5) in the form o + r*k**3 + b*k**4 + s*k + g*k**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -4*w**3 - 5*w**2\/2 + 2. What is the second derivative of s(u) wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i + 3*i + 2*i - 3*i. Suppose 2*q - 12 = -q. Let g(n) = -1 + 2 - q*n**2 - 1. Determine y(g(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*f - 4, -22 = 3*w - 3*f + f. Let u be ((-12)\/16)\/((-2)\/w). List the prime factors of ((-1)\/2)\/(u\/216).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**4 + 12*g**3 + 1366*g - 821. Let c(x) = 2*x**4 + 20*x**3 + 2732*x - 1641. Let v(s) = -3*c(s) + 5*d(s). What is the derivative of v(t) wrt t?\nAnswer: -4*t**3 - 1366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872645233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m**2 - 7*m + 12. Let f(y) = -15*y**2 - y + 4. Let v(n) = 19*n**2 + 2*n - 6. Let b(o) = -6*f(o) - 5*v(o). Give 5*b(p) - 3*t(p).\nAnswer: 2*p**2 + p - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*v - 55 = 0, -4*l - v = -37 - 20. Calculate the remainder when 268 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15688672*j - 31 - 7844340*j - 7844334*j.\nAnswer: -2*j - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d + 15. Let x be y(4). Let w(g) = 26*g. What are the prime factors of w(x)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26244*z + 27737*z - 96981 - 19473 for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + (-140)\/100 + (2 - 8). Suppose -2 = 2*z - 0*z. Put 0, u, -9, z in decreasing order.\nAnswer: 0, u, z, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -454 + 454.02. What is the second biggest value in 0.7, v, -2, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2423037 times -11?\nAnswer: 26653407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2233*z**2 - 2*z - 2434. Let y(b) = -11169*b**2 - 11*b - 12180. Let a(n) = -22*s(n) + 4*y(n). What is the first derivative of a(o) wrt o?\nAnswer: 8900*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 0)\/(-48 + 50)*-1. Suppose -2*w + 24 = 2*w - 3*d, -18 = -3*w + d. Solve p = 2*j - w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d**3 - 7*d**2 + 6*d + 1. Let c be (-6 - 0)*(-46)\/69. Is z(c) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-3 + 4 - 4)*(19*o - 19*o + 24*o**2) in the form d*o**2 + u + t*o and give d.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-1\/12)\/k*k*k))\/k**(-15\/2) assuming k is positive.\nAnswer: k**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010502890359 to five dps.\nAnswer: 0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*b + 132, -2*n = n - 5*b - 174. Solve -9*x + x = n for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4751 = 17*l - 22*l, 4*l - 5*y = -3799. Which is smaller: l or -947?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1\/(x*x**(3\/4)*x))\/(x**2\/(x\/(((x**(-1)\/x)\/x*x)\/x))) assuming x is positive.\nAnswer: x**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645*q - 634*q - 2738 = -1205*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 9:52 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/18 - (-10 - -3)) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 10910*c**2 + c**3 + 0*c - c + 3 - 10907*c**2. Let s(r) = -r - 1. Let w be s(-4). Suppose -w*a - 7 - 5 = 0. Calculate q(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1527.9 from -186199065.9.\nAnswer: -186200593.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-92)\/(-28) + 4\/(-14). Let a(t) = -t**3 + 5*t**2 - 5*t + 3. Does 5 divide a(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5577553, -5577784, -5578013, -5578240, -5578465?\n\"Answer: y**2 - 234*y - 5577320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 574\/294 - (-10)\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 24*t + 16. Let d(j) = j**3 + 22*j**2 + 60*j + 60. Let q be d(-19). Let k(u) = -5*u - 3. Give q*i(r) + 14*k(r).\nAnswer: 2*r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x + 6. Suppose 0 = -2*v + v - 4*t - 12, -3*v - 2*t = -14. Let a = 2766 - 2754. What is the smallest common multiple of a and h(v)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kki when three letters picked without replacement from {k: 4, i: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1 (c) 0 (d) 2\/11 (e) -18 (f) -14 (g) 15\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, 40, 151, 358, 691?\n\"Answer: 5*w**3 + 3*w**2 + w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - 1 - (-48)\/6. Suppose -u + 29*u = -f*u. Put -5, -7, -1, u in decreasing order.\nAnswer: u, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/35)\/(7\/(-14) + 2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38.014 - -0.014. Let t = c + 36. What is the nearest to 0 in 3, -8, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*b + 4*h, -15 - 5 = -4*h. Suppose 6*v - v = b. Suppose v = f + 4*f - 125. What is the highest common factor of 25 and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = y - 12 - 8, -5*j = 5*y - 110. Solve 2*f - 3*x - y = -f, 3*x = 2*f - 17 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*l + 39*l - 576 = 1014 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 213230.2 to the nearest one hundred.\nAnswer: 213200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a millennium in years?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1264*f + 8934. What is the hundreds digit of p(55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 25.4?\nAnswer: -50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 383601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 2*z**4 + 6*z**4 + (-2*z**2 + 2*z - 2*z)*(z - 2*z**2 - z).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 3, u: 2, x: 1}. What is prob of sequence xu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6556*y - 762 + 25871 = -7664*y - 3699 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431846*k + 433563*k - 210357 = -67846 for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32 or 159\/5?\nAnswer: 159\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12202.4421 rounded to 0 decimal places?\nAnswer: -12202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-3)\/(660\/(-443)). Suppose 22*s = 12*s + 10. Which is greater: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(6\/(-4)*1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 5. Suppose 273 = d*r + 78. Calculate the remainder when 153 is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -718 - -1402. Suppose 8*s = -11*s + x. What is the least common multiple of 36 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -7*m**5\/6 - 89*m**4\/12 + m**3\/6 + 131*m**2. Find the second derivative of k(t) wrt t.\nAnswer: -140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 7*c - 698. Calculate k(74).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17475)\/4660*2\/(-12)*2*8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7442158 at most 7442161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 640 = -4*q. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 4*g + 1. Let b(y) = -y**2 + y + 1. Calculate -3*b(x) + q(x).\nAnswer: 2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -1. Suppose -c + 85 = v*c. Is 17 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344 + -5?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324992 and 256?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 12, j + 1000 = 2*i + 2*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 114 - 29. Suppose v + 0*v = 0. Let x = 4 - v. Is x > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 8 - 8)*(-1 - 8 + 20 - 371*g - 11).\nAnswer: 1855*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 286 - 284. What is the smallest value in 1\/2, 3\/5, j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -480608, -480579, -480548, -480515?\n\"Answer: a**2 + 26*a - 480635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 138151*h**2 + h - 138150*h**2. Let m(p) = 3*p + 50. Give m(u(o)).\nAnswer: 3*o**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from fzmmm.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 836918 divided by 418459?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-5*1*sqrt(104))\/((sqrt(88)*2)\/sqrt(11) + sqrt(16)\/sqrt(2)*-4))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*a**2 - 16*a**2 + 0*a**2)*(-3 + 0 + 1) in the form u*a**2 + h + g*a and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 40 = -5*x, x = 5*a - 0*x - 8. Factor a + 3*b - 3\/8*b**2.\nAnswer: -3*b*(b - 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 0 + 0 + sqrt(32) + sqrt(50)*-6 + -4.\nAnswer: -26*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2460241 and 62\/147?\nAnswer: 7380723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 4*h - 4 = 0, -1072*h = 2*x - 1077*h + 43 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16435.755117 - 16080.75512274. Let v = i + -355. Round v to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -37, -46, -55?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - 10*h**3 - 4*h**3 + (-3*h**3 + 2*h**3 - h**3)*(-1 - 2 + 1) + 0*h**3 + 3*h**3 - 2*h**3.\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 1 t when three letters picked without replacement from {c: 2, t: 3, i: 1, d: 1, j: 3, n: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 z when four letters picked without replacement from zzzzwwzzzzwzzzzwzz.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 25\/6*d**3 + 0 + 0*d - 13\/12*d**4 + 20*d**2. Differentiate y(l) wrt l.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*f + (-f + 0*f + 5*f)*(-2 + 5 - 2) + f + 2 - 2 + 0*f + 0*f + 2*f + (-3 + 2 + 0)*(-5*f + 9*f - 13*f).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 378\/64861 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (1 - 1))*41. Suppose -23*i = -24*i - 173. Let k = r - i. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 7*c - 10. Let u be z(7). Suppose i + 8 = -2*h, 2*i + 0*h = -5*h - 17. Let s = i - u. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-12)\/(-30))\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**3 - 1115*c**2 - 5450*c = 0. Calculate c.\nAnswer: -218, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**0)\/l)\/((l*l**(2\/3))\/l))**(-24\/11)\/((l**1*l*l*l**0*l)\/((l*l\/(l\/l**(4\/5)))\/l*l*l**0*l)) assuming l is positive.\nAnswer: l**(14\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -3141?\nAnswer: -16\/3141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2049544, -2049550, -2049556, -2049562, -2049568, -2049574?\n\"Answer: -6*f - 2049538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 2. Let n be o(3). Let z(v) = v. Suppose 30 = 7*r - 2*r. Let s(a) = 7*a + 1. Let m(f) = n*s(f) + r*z(f). What is the derivative of m(l) wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -200 - -199.9655. Let b = -0.2065 + k. What is b rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-5\/3)*c**(-8)\/c)**(-33\/7)\/(((c**3*c)\/c*c\/((c*c\/(c**2*c))\/c))\/(c**(-1)*c\/(c**(2\/15)\/c))) assuming c is positive.\nAnswer: c**(2596\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 2870726?\nAnswer: 2870726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84592310 a multiple of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -171042, -171047, -171052, -171057, -171062, -171067?\n\"Answer: -5*t - 171037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1\/6, 3, 13, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 5 = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2618 - -4238. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(396) + (sqrt(396) - (1 + sqrt(396)) - sqrt(396)) - 5*(sqrt(396) + (sqrt(396) - -1*sqrt(396))))*3)**2.\nAnswer: -1620*sqrt(11) + 801909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 0 + 0*c - 1\/180*c**5 + 0*c**4 + 1\/18*c**3 - 4*c**2. Factor s(i).\nAnswer: -(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**5\/10 + 13*u**4\/2 - 7*u**3\/6 + 7*u**2 + 208*u. What is the second derivative of n(y) wrt y?\nAnswer: -12*y + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272870352*v**2 - 319743698*v wrt v.\nAnswer: -545740704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 27388, -0.4, 3\/8, -1\/4 in decreasing order.\nAnswer: 27388, 3\/8, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10702 (base 11) to base 4.\nAnswer: -3302002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**2 + 4*q + 4. Let p(b) = -6*b**2 - 5*b - 5. Let d(h) = 4*p(h) + 5*t(h). Let v(k) = k**2. Calculate d(v(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1506537?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 7:49 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*d + 417164, -y - 35934 = -4*d + 47502. Round y to the nearest one hundred.\nAnswer: -83400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-13)\/4)\/(4\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 693\/(-539) - 1428\/(-833)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let p be (1\/2)\/(1\/(-2)). Let n = 13 + -18. Sort n, k, p in decreasing order.\nAnswer: k, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39 and 1542.\nAnswer: 20046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 115036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.205 and -0.2.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = z - c + 912, 0 = 5*z - 2*c + 4525. Let k = z + 1606. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(10\/9)*n*(n\/((n*n**(6\/7))\/n))\/n)\/(n*(n**(2\/37)*n)\/n*n*n*n*n**(6\/5)))**18 assuming n is positive.\nAnswer: n**(-93242\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 8. Suppose 4*y + m + 22 = 0. What is the remainder when 49 is divided by 3\/y - 70\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-12)*(-2 + 1157 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.8 + -6. Let s = k - -7.9. Which is the closest to -0.1? (a) -1\/6 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/340)\/(3\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0 + -2)\/(-1). Let i = -3 - -3. Which is the nearest to k? (a) -1 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/4 + 11545*q - 46185\/4.\nAnswer: 5*(q - 1)*(q + 9237)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(5\/4)*l**(-40) assuming l is positive.\nAnswer: l**(-161\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45*g**5 + 316*g**2 wrt g.\nAnswer: -2700*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -7 (c) -2 (d) -3\/5 (e) 1\/3 (f) 2\/5 (g) -0.045\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 12 = -i, 62*i - 59*i = b - 12. What is the third derivative of 926*d**5 - 923*d**5 + 2*d**3 + 0*d**b - 99*d**2 - 1 wrt d?\nAnswer: 180*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13\/(-5) - -1)\/((-18)\/45). Solve 2 = -5*k - 2*y - 7, t*y + 8 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.957 take away -0.7?\nAnswer: 8.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12793531, 12793604, 12793733, 12793924, 12794183, 12794516, 12794929?\nAnswer: 12795428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2*(-1)\/(-2). Let t(f) = 0*f + 5*f**s + 7*f**2 + 1 + 0 + 2*f. Is t(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (4 + -5 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((r*r*r**35*r)\/r)\/r)\/r*r)\/r**9)\/(((r**(-7)*r)\/r)\/r)**43)**(-2\/17) assuming r is positive.\nAnswer: r**(-742\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17730552, 35461102, 53191652, 70922202?\n\"Answer: 17730550*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -5, 493, -8, 3 in decreasing order.\nAnswer: 493, 4, 3, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -286 - -1432\/5. Factor -z*q**2 - 2\/5*q**3 + 0 + 0*q.\nAnswer: -2*q**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k - 36. What is y(4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {i: 5, t: 2, k: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 45, 8, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 206334 and 1458.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.9 + -19.9. Let u = 98.4 + -97.9. What is the smallest value in 3\/2, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 11*s**6\/120 - s**5\/5 + s**4\/12 + 46*s**3\/3 + 58*s**2 + 1. Find the second derivative of r(u) wrt u.\nAnswer: 66*u - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-3*(sqrt(363))**2 + -3 + 5.\nAnswer: 4358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220783, -441560, -662331, -883096, -1103855?\nAnswer: -1324608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(448\/(-154))*-4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 137\/532244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 1 - 1)*(-1 - 2 + 4)*((-5*d**3 + 5*d**3 + 5*d**3)*(3*d + 0*d + 0*d) + 24*d - 72*d**4 - 24*d).\nAnswer: 114*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 30*d**3 - 1740*d**2 + 105*d + 1659. Let b(k) = 9*k**3 - 522*k**2 + 31*k + 498. Let i(q) = -27*b(q) + 8*s(q). Suppose i(p) = 0. Calculate p.\nAnswer: -1, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 17. Suppose 3*b + 3 = 60. Let t = b - n. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6342096 is divided by 297.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*k + 43*k - 99*k - 16 - 25*k**2 wrt k?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 + 24*l**3 - 86*l**2 + 60*l.\nAnswer: 2*l*(l - 2)*(l - 1)*(l + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/2 (b) 2 (c) -233 (d) -3 (e) 2\/5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = c - 3*c - 2, 4*s - 3 = 5*c. Suppose -2*w = 3*k - 56, -4*k - 3 = 5. Is -1 + -2 + w*s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 49 - 31 = -10*u. Let p(o) be the third derivative of 22*o**2 + 0*o**3 + 1\/25*o**u + 0*o - 1\/10*o**4 + 0 - 1\/200*o**6. Factor p(v).\nAnswer: -3*v*(v - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (17\/(-2))\/((-54)\/324). Is 29 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -58*o + 7334. Let f be i(131). Is f > -264?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from occfccfxdocccccooc. What is prob of picking 2 o and 1 f?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 12*i = 100 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 9880.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxsxxs. Give prob of sequence xsxs.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, c: 2}. What is prob of sequence lc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43960, 88007, 132156, 176407, 220760, 265215?\nAnswer: 309772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(-1 + (-12)\/9). Let m(v) = 5*v - 3. Let g(i) be the first derivative of -11*i**2\/2 + 7*i - 1. What is a*m(k) - 3*g(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**3 - 11*m**2 + 11*m + 11. Let r(n) = n**3 - 2*n**2 + 2*n + 2. Let z be (0 - 8)\/(-4) - 1*4. Determine z*o(a) + 11*r(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmn when three letters picked without replacement from {m: 2, k: 4, g: 2, n: 7, j: 3}.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r**2 + 7*r - 7. Let u be p(2). Let w = 77 - u. Is 4 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 721526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*f = -8, 0 = -3*s + 4*f - 6 - 10. What are the prime factors of (s + -20)*6\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 259268815886413.\nAnswer: 259268815886415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9089 divided by 149?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**3 + 5*f**2 - 3134*f + 40. Let r(l) = 3*l**3 + 4*l**2 - 3134*l + 32. What is -5*r(c) + 4*y(c)?\nAnswer: c**3 + 3134*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0, 16, 9, -11814 in decreasing order.\nAnswer: 16, 9, 0, -17, -11814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 128 - 37 + 361*k**2 + 167 in the form c + h*k + j*k**2 + b*k**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from gtggggtjgtjgttt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 44*f**3 + 141*f**3 + f**3)*(-3 - 2 - f + 3) as o*f + j + p*f**4 + a*f**2 + r*f**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.02 - 0.02. Let g(h) = -h + 18. Let t be g(21). Which is the closest to 2\/5? (a) t (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 15*w**2 - 12. Let o be i(15). Let q(y) = -y**3 - 9*y**2 - 13*y - 12. Let g be q(-8). What is the units digit of (g\/5)\/(o\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -13114112?\nAnswer: 13114102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 32 = -12*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55964\/35 - 1599. Suppose -5*f - 10 = -3*d + 3, 5*f + 5*d + 5 = 0. Let x be f\/(2 + -4) - 0. Does x = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1635, 3273, 4911?\nAnswer: 6549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.01, 0.4, 1\/9, 4, -28 in ascending order.\nAnswer: -28, -0.1, -0.01, 1\/9, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 15\/5) + -193. Which is smaller: -196 or n?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149625 and 427000.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -4.\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 40. Let j = 14 - p. Let m = 13 + j. Is -31 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 194, -16, 88, 0 in descending order.\nAnswer: 194, 88, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s*t*w - 2*s*t - 16582*s*w - 8518*t*w + 2*t - 3*w wrt t.\nAnswer: -s*w - 2*s - 8518*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 28*o + 16. Let i be l(3). Suppose 5*h - 535 = -i. List the prime factors of h.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*j = 146*j + 980 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*a - 62 = 0. Let h = 247\/4 - a. Is 1 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 16 - (0 - -8 - (28 - 15))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 - 1.78?\nAnswer: -421.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 143169 = -643169. What is k rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10012400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 223869032142 + 0.3\nAnswer: 223869032142.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 4. Let s be i(4). Suppose s = -3*z - 8 + 29. Suppose 2*x + 63 = 4*o + z*x, 0 = 4*x - 12. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**7\/280 + 11*f**6\/1080 - f**5\/180 + 4*f**3 + 23. Let k(n) be the third derivative of l(n). Factor k(i).\nAnswer: -i*(i - 1)*(9*i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1109 or 1102?\nAnswer: 1102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2225187 to the power of 1\/2, to the nearest integer?\nAnswer: 1492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115\/2254*4\/10*7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**5*s)\/s*s)\/(s*(s**5\/s)\/s))**(-1\/2) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 4*g**3\/5 + 236*g**2\/5 + 2204*g\/5 - 2444\/5 = 0.\nAnswer: -47, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**4 - 28*c**3 - 78*c**2 - 71*c - 45. Let m(i) = i - 4. Let y(a) = -15*m(a) + 3*s(a). Suppose y(o) = 0. Calculate o.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-78))\/((-250)\/(-136500)*-91).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 434 - -4?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(486)*-3 + sqrt(486) - sqrt(6))*-3)\/((sqrt(128)*-2)\/(sqrt(64) - (1*sqrt(64) - sqrt(64)))).\nAnswer: 171*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.4 - 5. Let f = -15.1 + 15. Put j, f, 1 in descending order.\nAnswer: 1, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 3*k + 0*k)*(-149*k**3 + 149*k**3 + 22*k**4) + (2*k**3 + 0*k**3 - 3*k**3)*(0*k + 0*k + 2*k**2) - 2*k**5 + k**5 - 2*k**5.\nAnswer: 61*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.2 - 1. Let n = -356 - -223. Let f = n + 130. Which is the third biggest value? (a) f (b) t (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 2*a**2 - 14*a + 12. Let c = 9 - 3. What is the remainder when i(c) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 883749089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:13 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28657 = 2*v - q + 94846, -3*v - 4*q = 99256. Let f = v - -94292. What is f rounded to the nearest 1000?\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 364 = -21. Let o be (-1 - (-3)\/5) + 84\/c. Solve 5*f + 26 = -o*i + 7, -5*f = 3*i + 16 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - -0.3. Let q = -8519 - -8514. What is the second smallest value in y, 0, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 28. Suppose y = 4*m + 4*b, m + 3*b = -0*m - 3. Solve 3*p = 3 + m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 72*k - 567. Let l(c) = -c + 9. Let b(v) = 2*i(v) + 126*l(v). Let t(j) = 56*j**2 + 2. What is t(b(u))?\nAnswer: 18144*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28, -50, -86, -142, -224, -338, -490?\n\"Answer: -w**3 - w**2 - 12*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 10\/5 - -7. Let q(h) = -4*h**2 + 2. Let p(i) = 2*i**2 - 1. Give v*q(j) + 7*p(j).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7918258*k**3 + 5921765*k - 1.\nAnswer: -47509548*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3 - (28\/6)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/11)*t*t**10\/t)\/(t**(-2\/9))**21 assuming t is positive.\nAnswer: t**(487\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-1 - (-2 + 2)). Let z(i) = -4*i + 3 + 0*i**o + 4*i**2 - i**3 - 2. Give z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -77, -132, -175, -200, -201, -172?\n\"Answer: d**3 - 62*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6916 is divided by 457?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-25))\/((-2 + 6)\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1053452 or 1053454?\nAnswer: 1053452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 9:46 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**5 + i + 1. Let k(w) = -24*w**5 - 12*w**4 - 4*w**3 + 12*w**2 - 12*w - 20. Let u(y) = -k(y) - 20*t(y). Suppose u(b) = 0. What is b?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 - 33. Suppose 6*y - 2*y + 16 = 0, -d - 5*y - 22 = 0. Sort v, 0, d.\nAnswer: d, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -25. Let h be (-3)\/(-3)*m\/2 + 341. Let t be (-45)\/h + 2\/(-16)*-2. What is the biggest value in t, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -6734*c**3\/3 + 2*c**2 - 6*c - 2. Let i be a(-7). What is i rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 6*j - 41. Let n be v(7). Calculate the greatest common factor of 25 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9815896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0\/(-3))\/(-1))\/(-1). Suppose -2*f + 19 - 1 = k. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36 (base 14) to base 6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5664 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 9*b - 6. Let r(x) = -x + 8. Let w(a) = -2. Let k(i) = -2*r(i) - 7*w(i). Let u be k(b). Solve 3*t + u = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -175*i**3 + 45*i + 45. Let d(c) = 8*c**3 - 2*c - 2. Calculate 90*d(v) + 4*t(v).\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) 74029.8 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007816370521 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -9 - 1) + -162 + 146?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1421312 - 12?\nAnswer: 1421300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (23105\/(-13863))\/((-28)\/6)\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/17)\/d**3)\/(d**(2\/23)\/d**8) assuming d is positive.\nAnswer: d**(1967\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/8 + (-18)\/(-72).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 13. Let m = 80 + 16. Let c = f + m. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -536.8, 2\/3, -7\/6.\nAnswer: -536.8, -7\/6, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 61. Does 14 divide -21*6\/(-36)*y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 1628250?\nAnswer: 1\/125250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (7 + -3 - 5). Put -9, m, -3 in descending order.\nAnswer: m, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/22)\/((-338)\/11154). Solve v*w = -5316 + 5319 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - 8*f**2 + 3*f**2 + (-f + 3*f + 0*f)*(-f - 2*f + 6*f) to k*f**2 + t*f + y and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 59. Let z = q - 18. Let n be z + 9\/3 - 6\/5. Which is the fourth biggest value? (a) -4\/7 (b) 0.3 (c) 4 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {x: 2, f: 4, z: 1, e: 3}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1330843357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-43)\/v)\/v)\/(v**(-17)\/v)*v**(1\/9)\/(v*v**(-1\/5)) assuming v is positive.\nAnswer: v**(-1201\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*m**5 + 51*m**4*s**2 + 1184*m*s**2 - 2*m*s wrt m.\nAnswer: -460*m**3 + 612*m**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j = 8*j + 44*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 200443342140?\nAnswer: -200443342200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5\/17 - 26562*w**4\/17 + 848446*w**3\/17 - 6756926*w**2\/17 - 848448*w\/17 + 6783488\/17 = 0.\nAnswer: -1, 1, 16, 13249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(-24) - (-3)\/2. What is the third biggest value in 0, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 729*o + 4382. Let h be a(-6). Solve 7*z + 22 = 3*b + h*z, -b - 2*z = -14 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502927 divided by 147\nAnswer: -502927\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00587214 rounded to four decimal places?\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-4)\/(-10)) + 1. Let i(a) = -2*a - a - 23 + l. Let k(v) be the second derivative of -v**3\/6 - 3*v**2 - 4*v. Determine 6*i(s) - 17*k(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 53083 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0789042 and 144454?\nAnswer: 144453.9210958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.2 (c) -342 (d) 5 (e) 22 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -843260 divided by 55?\nAnswer: -15332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.153 + 0.024\nAnswer: 0.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + 0 + (sqrt(100)\/sqrt(2))**2*2.\nAnswer: 10*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*m**6 - 68*m**3 + 140*m**2 - 6 wrt m?\nAnswer: -720*m**3 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + 0*h - 9*h - 3*h + 5*h + 0*h + (h - 2 + 2)*(-1 + 1 + 2) to a + w*h and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuwwwwduuuuuuuwu. Give prob of picking 1 u, 1 d, and 1 w.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4716*k**3 + 1771*k**2 - 52225215*k.\nAnswer: -28296*k + 3542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + 9*f**2 - 9*f + 12. Suppose -5*h = 4*r - 27, 3*r + 4*h - 18 - 2 = 0. Let v be u(r). Solve 0 = 2*m - 2, 4*m = -5*q + 8 - v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13817 (base 12) to base 9\nAnswer: 41141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*195.4\nAnswer: 11.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 83, 5\/26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1.9726467.\nAnswer: -3.9452934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8507\/12 + 2837\/4. Let 1\/6*m**3 + 0 + 1\/6*m + q*m**2 = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.3, -0.1, 2\/3, 331.\nAnswer: -0.3, -0.1, 1\/2, 2\/3, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 650 is divided by 159?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6)*(13 + -7). Let u(p) be the second derivative of 0*p**3 + 0 - 1\/12*p**a + 0*p**2 + p. Let g(f) = 2*f. Calculate g(u(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c + 3. Let d be (1 + -2)\/1*(-3 + 5). Give u(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-133*p + 2346*p + 548*p)*(3 - 3 + p**2).\nAnswer: 2761*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 3:29 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -262\/5 + 2\/5*m**2 + 52*m.\nAnswer: 2*(m - 1)*(m + 131)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 85840.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2300*q**2 + 392*q + 13. Is t(-16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32079 - 0.52079. Let l be (-1 - 1) + 24\/10. Put 1\/5, l, u, -2\/3 in decreasing order.\nAnswer: l, 1\/5, u, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 11 (c) 0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.2125485 meters?\nAnswer: 0.0002125485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4 + 155*a**3 + 20147*a**2 - 169611*a + 149310 = 0.\nAnswer: -90, 1, 7, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 466844 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103549 - 51670931\/499. Calculate the common denominator of d and 26\/7.\nAnswer: 3493","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 1 = -7. Let s(z) = 0*z + 0*z**2 + z + 12*z**2. Is s(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/15 smaller than 92638\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 378 - -22. Let p = d + -224. Let q = -20 + 36. What is the greatest common factor of p and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2182379*d*f + 778291*d + 1 with respect to f.\nAnswer: -2182379*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 461 - 464. Let o = -2.93 + -0.27. Let h = o - x. Is h smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/15)\/(1\/3). Suppose -6*n + 8*n = -4*w + 68, -3*w + 33 = -b*n. Solve 0 = 5*u - 5*t + w, 4 - 9 = -5*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - 1)\/((-29)\/348). Let c be 3 + (-239)\/4*(x - -12). Calculate the highest common factor of 45 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*c + 83597*z - 83602*z, 0 = -4*c - 7*z + 3*z - 20 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-64) - 1\/((-32)\/108).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {s: 8, g: 4, l: 8}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 4*o - 2*o)*(-7*o + 6*o + 9*o) + (0 + 1 - 3)*(o**2 + 2*o**2 - 6*o**2).\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -231?\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 11, -25 in ascending order.\nAnswer: -25, 0.9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*r + 246 = 0, 3*w - 146 = -0*w - r. Let g = w + -50. Let k be (0\/(-2))\/(-4*g\/8). Solve -3*l + 0*l - 3 = k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 8*j + 3. Calculate x(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -15. Suppose 1 - 26 = -v - 4*s, -41 = -2*v - 5*s. What is the first derivative of 15*x - v*x + 5 - m wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(9072) + -2*sqrt(1008))**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12471695*q**3 - 10093490*q wrt q?\nAnswer: 74830170*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*z + 246 - 72 + 39. Solve z*s = -4*l - 8, -8 = -3*s + s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/(-1887)*(-3)\/2\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 6*f + 6. Let a be h(6). Let x be 2*3 + (-18)\/a. Is 4 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320198 = -2991*v - 1336*v for v.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 5 + (-13 - (-2 + -4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(5\/3)*d)\/d**(2\/29))**24\/((d\/(d\/(d*d**(-6)\/d*d*d*d)))\/d**(-7)*d**(4\/5)\/d**(-3\/7)) assuming d is positive.\nAnswer: d**(57973\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n. Let s(w) = -w + 6. Let x be s(11). Let k(v) = -4*v + 5. Let h(p) = 3*p - 4. Let a(f) = x*h(f) - 4*k(f). Determine 4*a(r) + q(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 185*p**2 - 22*p + 4. Is d(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564589 - 32*f - 564589.\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*u + 47 = 227 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) -5 (c) -0.0905\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*h = -0*h + 20, 40 = 5*n - 5*h. Let t be 26\/6 + (-1)\/3. Suppose 33 = t*k - k. Calculate the remainder when k is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10278644*v**5 + 9064*v - 1291.\nAnswer: -205572880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5524.686 millimeters?\nAnswer: 5524686000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvclpvppvpuvpupvc. What is prob of sequence ucc?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1296 + -1284. Let w(h) = h**2 - 10*h - 9. Give w(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5645*i**2 + 48*i + 8. Is a(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*s - 96893 = -98546 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**5 - 315*q**4 - 3775*q**3 + 58575*q**2 + 566280*q - 2874960 = 0.\nAnswer: -33, -12, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33987.\nAnswer: 3, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + m**2 + m + 4. Let c = 33 + -129. Let o(k) = -19*k + 1. Let j be o(-5). Let u = c + j. What is w(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 29. Let d be h(-14). Sort 0.3, d, -0.1 in increasing order.\nAnswer: -0.1, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 4, -1.2, 0.3, 1\/5, -0.08, -16?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*a + a**3 - 4*a**3 + 4 in the form m*a**2 + t*a**3 + f + r*a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112520589 is divided by 1433.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 191036 and 652?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 23*y**2 + 3*y - 51. Let t be s(23). Let p = t + -15. Factor -3*m**2 - m**4 + 3*m**5 + 4*m**2 + 3*m**p - 6*m**3.\nAnswer: m**2*(m - 1)*(m + 1)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 0\/(-6 - -3). Suppose 0 = -2*z + g + 25 + 24, -2*z - g + 59 = 0. Calculate the smallest common multiple of z and (i - 1)\/((-12)\/(196 - -8)).\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -9*y**3 - 519*y**2 - 351*y - 377. Determine t(-57).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - -0.8. Let p = -1.4 - -0.9. Put b, p, 1\/4 in decreasing order.\nAnswer: b, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249 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: Solve -7 = -u + s, -72*s = 5*u - 68*s + 28 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -68. Suppose 0 = -5*u - q - 28, -3*u - 2*q = -j*q + 14. What is the units digit of ((-657)\/u)\/(5\/(20\/3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3881 - -1019. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -558, 267, 1636, 3549, 6006?\n\"Answer: 272*r**2 + 9*r - 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4325, -2635, -945, 745, 2435?\nAnswer: 4125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13940*m + 2791936?\nAnswer: 13940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 39 + -29 - 7*2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1860 and 1378725.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + y**2 - y + 3. Suppose 2*i - 5*n - 5 = 0, -5*n + n = -5*i + 4. What is the units digit of b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*(p\/(p\/(p\/(p*p**(-21\/2)))))\/p)\/(p\/(p\/((p*((p\/p**5*p)\/p)\/p)\/p))))\/(p\/p**(-28)*p**(-16)))**2 assuming p is positive.\nAnswer: p**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*c - 2 - 90*c + 3*c**4 - 2*c**2 + 2*c**3 + 4 - 2*c**4 + 3 in the form u + n*c**3 + p*c**2 + h*c**4 + q*c and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3588 + -28?\nAnswer: -3616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -384*p**2\/5 + 10077*p\/5 + 35244.\nAnswer: -3*(p + 12)*(128*p - 4895)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 22. Suppose s*n - 19 = -b + 4, -2*b + 10 = 0. Calculate the lowest common multiple of 8 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2561 + 2572. Solve -3*w + 28 = -4*g, -14*g - 24 = -q*g - 3*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3 - 224*q**2 = 0.\nAnswer: 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 2*l + l**3 + (3*l + 0*l - l)*(3*l**2 - 4*l**2 + 2*l**2) - 9*l**2 + 2*l**3 + 9*l**2 to the form z*l + c*l**2 + m + t*l**3 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 13. Which is the closest to -1? (a) u (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 49 + -52 - -57.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w**3 + 49 - 3*w - 7*w**3 + w**3 + 15*w**2 - 8*w**3. Does 21 divide o(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 11 + 8 - (-13 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 6 = p. Let s(o) = 4*o + 3. Suppose 6 = 5*y - r, 0 = -y - 7*r + 2*r + 22. Let c(w) = y*w - 20 + 5*w + 25. What is p*c(f) + 5*s(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1711230712.\nAnswer: 2, 213903839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/75*(-140)\/(-21)*10\/4.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*5*(-2 + 1). Suppose -q*a + 2 = -3. Is 2 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -56 + 1 - 3 - -89.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -265346*b - 55613 wrt b?\nAnswer: -265346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(10\/(-4)))\/((-164)\/(-1230))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 260*g. Let k(a) = -4167*a**2 + 18*a. What is k(r(n))?\nAnswer: -281689200*n**2 + 4680*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u. Suppose -2*o - 4*y + 24 + 18 = 0, 6 = 3*y. Let v(n) = -n - 17 + 14 + o. Calculate v(q(g)).\nAnswer: -2*g + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 262, 259, 256, 253?\n\"Answer: -3*m + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -59*g**4 + g**3\/3 + 3*g**2\/2 + 2*g + 42. What is the units digit of p(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - (33 + 48)) + 48.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19ab8491 - 4?\nAnswer: 19ab8489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d - -7?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 17 (c) -0.2 (d) 22713 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g - 1. Let z be r(-1). Suppose -2*x - z*x = 5*n - 3, 4*x = 4*n + 12. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -7 - 47. Let v = -19 - m. Is v <= -8\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52136780 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -5285*v**6\/6 + 1361*v**3\/3 - 5549. What is the third derivative of s(j) wrt j?\nAnswer: -317100*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3 - 15 = 0. Let m be (2\/o)\/(2\/93). Let x = -22 + m. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 17\/4 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 711271 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 125953394?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.64 - -403.36. Let q = 408 - x. Which is the closest to 0.1? (a) q (b) -38 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/74305 and 73\/1925?\nAnswer: 371525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81691, 163404, 245119, 326836, 408555?\nAnswer: 490276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -52, 4 in ascending order.\nAnswer: -52, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 648995 is divided by 394?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2119, -2049, -1931, -1765, -1551, -1289, -979?\n\"Answer: 24*k**2 - 2*k - 2141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 225736337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 8*r + 88 = 0. Let u = r + 80. Let h be ((-1)\/(-3))\/(2\/u). Solve -h*b - 4 = -2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one quarter of a week?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -4 + 1 + (-42 - -49) + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 739, -5 in descending order.\nAnswer: 739, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 14454465.6 to the nearest one hundred thousand.\nAnswer: 14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + 1*sqrt(27)) + (-2*sqrt(147) + 2 + sqrt(147) + sqrt(147)*-2 + 5)**2.\nAnswer: -291*sqrt(3) + 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -48*y - 516. Calculate the lowest common multiple of d(-11) and 64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l + 154*l + 147*l - 326 = 0. Which is the third biggest value? (a) -0.4 (b) -175 (c) l (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(132) + 2*sqrt(132)) - 5*sqrt(132)*-4)\/(6*((sqrt(108) - 1*sqrt(108)) + sqrt(108)\/(sqrt(27)\/sqrt(3)))))**2.\nAnswer: 1331\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d - 23*d - 3*d - d.\nAnswer: -34*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 23*g**2 - 9*g + 1043. Give c(25).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*j**3 - 8*b**2 + 829*j**4 + 1 wrt j.\nAnswer: -3*b**2*j**2 + 3316*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7\/10972361?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5 = -5*s, 5*h - 26 = -5*s + 4*s for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**4\/6 + u**3 - 2*u**2 - 7*u. Let d(c) = 8*c. What is the least common multiple of d(2) and w(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 - 30*t**2 - 28*t - 337. What is s(-10)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(2\/8). Let m be (24\/15)\/(6\/15). Sort -4, m, f in descending order.\nAnswer: m, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156281491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 517 and 470?\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29.544903 minutes?\nAnswer: 0.49241505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*c = 3*n - 277*c - 9, 16 = -5*n - 2*c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -32 + 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 475 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/(1\/(-214)). Let j = o - -1179\/11. Which is the nearest to 1\/4? (a) -3 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3510\/36 - -12)*(1 - -1) is divided by 63.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.6 + -0.6. Let l be (-8)\/(-3)*63\/42. Suppose 4*n + 4*w - l = 0, -2*n - w + 10 = 3*w. Is n bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1 - (4 - 15)) + 9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + t + t)*(279*t + 37*t + 24*t) + (-2*t + 6*t - 3*t)*(-5*t + t + 3*t) + 0*t**2 + 2*t**2 - 4*t**2 to v + m*t + g*t**2 and give g.\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2 + -1)\/((-15)\/10) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -472\/1155 - -2\/231. Which is the smallest value? (a) 0.3 (b) j (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsqqhlhsh. Give prob of picking 4 h.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*i + 15*i + 3*u - 6, 0 = 3*u - 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*z - 54*z = -24*z + 15392. Calculate the remainder when z is divided by 34.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1585, 3171, 4757, 6343, 7929?\nAnswer: 9515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -39. Suppose 128 = w*z - 1792. What is the highest common factor of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -3*y**5\/5 - 12*y**3 - 108*y - 22. Find the first derivative of g(p) wrt p.\nAnswer: -12*p**3 - 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1070224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*b + 9*b + 364. Calculate the highest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2475344 = -5*s - 3*k + 532073, 5*s = 3*k + 3007453. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 8 = 2. Let n(c) = 3*c**2 - l + 2*c + 0*c**2 + 2*c - 3*c. What is the units digit of n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - i - 29, 8*p = 3*p + 3*i + 38 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 0 - 5)*(5*x**4 + 2*x**4 - x**4).\nAnswer: 42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 + -3.5. Let p = 8 + s. Let y = 6.7 + -7. Sort y, p, -4.\nAnswer: -4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b + 12*b - 1320 - 196980. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**3 - 16*w**2 - 6*w - 20. Let f be r(-8). Suppose 2*x = 3*l - 0*l - 2, 2*l + 4*x - f = 0. Solve 3*i - l*q = 15 - 6, 0 = 3*i + 2*q + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from yyyyplplp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*p = -3*g + 16, 0 = -4*g - p + 47. Solve 6*u = 3*u - g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10998)\/(-7943)*13\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - ((-15)\/24)\/(-5). Suppose -j - 36 + 38 = 0. Is j at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.479 in -12, -5, 3\/193?\nAnswer: 3\/193","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 322549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*x = 29*x + 171 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3\/6353 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*u**3 + 13*u**3 + 17*u**3 - 5*u**3 + 142*u**2 wrt u?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/20648 and 25\/28391.\nAnswer: 227128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3 + 32810544*p**2 + 6138*p + 74.\nAnswer: 12*p + 65621088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26, -86, -176, -296?\n\"Answer: -15*s**2 - 15*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -1\/3, 1087 in increasing order.\nAnswer: -4, -1\/3, 4, 1087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 19 + 1208*(-1)\/72\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 446, 451, 458, 467, 478, 491, 506?\n\"Answer: i**2 + 2*i + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17043267.5102096 + -2.5102096. Let n = b - 17043265.09069493. Let w = n + 0.0907. What is w rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvt when three letters picked without replacement from {v: 7, t: 9}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 7:19 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/4 (b) -12\/7 (c) 124\/83 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 6:44 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:26 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 191803019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -28\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-160)\/(-1440))\/(2\/60)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*1\/4*0. Let f = 22 - x. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37423.36 rounded to the nearest 1000?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.99655 and 96.5?\nAnswer: 96.167075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034399 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 4*n = -10*n. Which is smaller: n or 5\/1329?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -j - 4*j. Let v = j + 16. Let w = 8 - v. Solve -6 = -w*s + 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376224444, 376224439, 376224432, 376224423, 376224412?\nAnswer: 376224399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 228872 = -49*j + 35760. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24443233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 9. Let i(o) = -1 + 8 + h - o - 1. Is 5 a factor of i(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1116*c**3 - 195*c - 388. Does 94 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 138. Is g a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -51.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 359228?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (45\/42 + -1)*14. List the prime factors of (8\/(-48))\/(l\/(-3246)).\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 1 - 15*q**2 - 32*q**2 + 20*q**2 - 35*q**2.\nAnswer: -68*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)\/(v**(-6)*v) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 2*l + 1. Let f(m) = 2*m**2 - 31*m + 30. Let n(h) = -f(h) + x(h). Let g be n(32). Solve 28 - 43 = -g*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -203195339 divided by 1.\nAnswer: -203195339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**2 + 6*l**3 + 40*l**2 + 612*l**3 - 24*l**2.\nAnswer: 618*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7555948073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/5)*x)\/x)**(4\/19))**(-6\/23)*(x**(-2\/3)*x*x*x\/x**(-1\/5)*x)\/(x**(-1)*x)**(-39) assuming x is positive.\nAnswer: x**(23089\/6555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -190573, -381074, -571569, -762058, -952541, -1143018, -1333489?\n\"Answer: 3*o**2 - 190510*o - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + u + 1. Let h(t) = -t**3 - 5*t**2 + 5*t + 5. Let n(q) = -2*q - 2*q**2 + 3*q - 424 + 429. Let i be n(0). Give i*m(r) - h(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -15*h**2 + 49*h + 49. Give j(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4645 - 4645 - 1861*z**2.\nAnswer: -1861*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u - 14. Let n(d) = -d**3 + 4*d**2 + 2*d - 3. Let x be n(4). Let a(l) = -l - 9. Let y(t) = x*k(t) - 8*a(t). Determine y(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -870d0c (base 16) to base 11\nAnswer: -4aa5731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**4 + 2*s**4 + s**4)*(67*s + 53*s + 2*s + 2*s + 2 - 2 + (3 - 3 - 2)*(2*s + 2 - 2)).\nAnswer: -360*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v - 6. Suppose 0*s + 3*s - 15 = 0. Let j be (3 + (-24)\/10)*s. Suppose -d - j = 3. Let h(b) = -5*b + 7. What is d*c(x) - 5*h(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 630 divide 353351880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 993642 and 10816?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201710.\nAnswer: 2, 5, 23, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 145 = 5. Let q = y - 14. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*z - 44*z**3 + 3*z - 28*z**2 + 44*z**3 - 2*z**4 + 29*z**2 - 23 as o*z + f*z**4 + n*z**2 + s + c*z**3 and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 3)*(4*n - 2*n - 3*n)*(0 + 3 - 4 + 2 + 2 - 2 + (0 - 1 - 1)*(-2 + 0 + 3) - 1 + 2 - 3) in the form q + c*n and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from eoeoqoqoooooo.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*(-3 + (-2058)\/112). What is the greatest common factor of 1653 and t?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -9. Let x = 3.7 + -4. Let w = 13 - 8. Put w, o, x in descending order.\nAnswer: w, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 9 = -2*z + 3, -4 = -4*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.0734 * 3.\nAnswer: 15.2202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.09559?\nAnswer: 0.19118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n + 8736 = -61*n - 41*n - 16*n for n.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 6*j**2 - 3*j - 4. What is c(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -2\/5314327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/5))\/x)**11\/((x**(-4\/11)*x)\/x**(-14)) assuming x is positive.\nAnswer: x**(-684\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45361081.\nAnswer: 45361081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -112, 124, 450, 860, 1348, 1908?\nAnswer: 2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5953, -1\/2, -0.1, -23, 0.2, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.48*0.3\nAnswer: -0.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 0.1 (b) 2 (c) 2\/5 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1444 and 590976?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1266396816?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15204093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32 and -43\/1332.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 177209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + h + 1. Let k(a) be the first derivative of -2*a**3\/3 + 3*a**2\/2 + 2*a - 1. Let j(c) = k(c) - 3*u(c). Factor j(i).\nAnswer: (i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -16*f**2 + 5180*f + 15754. Determine u(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjfucsusufccusuuu. What is prob of picking 2 u and 1 c?\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42826330.\nAnswer: 2, 5, 29, 59, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-2)\/s))**45\/(s*(s*(s*s**(-11\/2))\/s)\/s*s*s*s*s*s*s**9\/s) assuming s is positive.\nAnswer: s**(343\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:26 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 12. Suppose 0 = 2*f - 5*c - 64, f + 0*f - 32 = d*c. Suppose 2*b - 22 = -12. What is the remainder when f is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7813 divided by -117?\nAnswer: 601\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0181 and -245550?\nAnswer: 245550.0181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 102*q**2 - q + 1. Let z be w(-1). Let u = 106 - z. Suppose u*d = -2*d + 36. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -99295 - -20?\nAnswer: -99275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 28 + -14 + (-1 - (2 - 39))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 28922733.\nAnswer: 28922727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*u + 9. Suppose u*h = h + 12. Calculate the smallest common multiple of (-7 + 2 + 6)\/(2\/10) and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 5*c**2 - 2*c - 9. Let u be i(-6). Let n = -21 - u. What is the remainder when 33 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*s**3*z + 5*s**3 - 342*s**2*z + s*z + 30175*s wrt s?\nAnswer: -318*s*z + 30*s - 684*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*g**2 - 18 + 18 + 20*g**2.\nAnswer: 85*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -161 * 31.5\nAnswer: -5071.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80525 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 8*s**2 + 6*s - 2. Let n be b(-7). Let z(d) = d**3 - 3*d. Let j be z(n). Calculate the highest common divisor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*k + 13, 3*k = 2*y - 2 + 18. Let x be 1\/y - 82\/(-10). Suppose 3*p = x*p - 5*b + 5, -5*p - 4*b + 31 = 0. Solve -w = 2*w - p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:04 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22727 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*s, 3*o = 3*s - 100 - 233. Let z be -1 + (o\/(-1) - 3). Suppose -3*r + 85 = 4*l, 0 = 3*l - 8*l - 5*r + z. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w + 24 = 5*f, 8 = -3*f - 5*w. Factor -2*n**5 + 8*n**3 - 10*n**3 + 0*n**5 - 4*n**f.\nAnswer: -2*n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/238 - 379\/476. Let m be 2\/(-12)*4\/3. Which is the biggest value? (a) 0.2 (b) g (c) m (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17*7\/476*28*8\/5012.\nAnswer: 2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4156*j - 8310. Determine o(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**6\/30 + 5*t**3\/6 - 5*t**2\/2 + t. Let f(y) be the first derivative of r(y). Differentiate f(l) wrt l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-14002)\/10 - (-18)\/90. Let s be (-36 + 1091)\/((-1)\/a). Round s to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - -6) + -123*(-81 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 12 = 7*g. Suppose g*s - 3*s = 0. Suppose -12 + s = -5*f - 3*v, -8 = -4*f - 2*v. Solve f = m + m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -32. Let y(c) = -1 - 5 - 9 + u*c - 5. Is y(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 plus -5905921652018?\nAnswer: -5905921651990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/(9\/(-45)). Let q = a + -2. Solve 3*s - 10 - 5 = 0, k + s - 8 = q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1077345322?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 288 and 3924?\nAnswer: 31392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23430135 (base 6) to base 4.\nAnswer: -2303122223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6\/5, 0.4, 5\/4, -0.08?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193630.\nAnswer: 2, 5, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3184916?\nAnswer: 2, 7, 17, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) 0.3 (c) 368 (d) -4\/29 (e) 2 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -1, -1565 in descending order.\nAnswer: 3, 0, -1, -1565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4292 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 190163 and 397.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (-12 - 0) + (13 - -7 - 41)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*z + 3*p - 115 = -45*z, -4*z - p - 31 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (381\/15 + (-294)\/735)\/(-1) - -4\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f + 4. Let l be 11\/(891\/18) + 130\/(-18). Calculate the remainder when 105 is divided by n(l).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.58 + -0.42. Let d be (-2)\/4*(2 - 1). Put l, 0.3, d in ascending order.\nAnswer: l, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/(t*(t*t**(-3\/11)\/t*t*t)\/t))\/t*t*t)\/t)\/(t**(-30\/13)*t))\/(t**(1\/12))**(-46) assuming t is positive.\nAnswer: t**(3787\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/3)\/(-4 - -2). Suppose x + 2*g - 327 + 85 = y, 3*x = -4*g + 720. List the prime factors of x.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2 - ((-378)\/99 - -4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10512113 a multiple of 961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16*(4\/2*-33*34\/748)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-65265 + -2 - -3). Let b = 457605\/7 + v. Let p = b + -106. Is 1 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3939.\nAnswer: 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*j**2 - 421*j**3 + 419*j**3 - 586*j**2 + 614*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2 + 2*t + 4 + (2 + t - 2)*(3 - 2 + 1).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 126839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/3 + -2)*(-241)\/(140503\/(-1590)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*t + 2, 3*t - j + 0 - 2 = 0. Let l(p) = p**2 + 216. What is the hundreds digit of l(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*k**5*r - 8*a*k**3*r + a*k**3 + 523*a*r - 2*k wrt k?\nAnswer: 40*a*k**3*r - 48*a*k*r + 6*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m + 1 + 6*m**2 + 11*m**2 - 18*m**2. Let z(y) = 50*y**2 - y + 1. Let w be z(1). Let u = 55 - w. Determine s(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9847760398 + 9847760398 + c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 - 0.04. Let g = -2.03 + j. Let z = 9 + -9.5. Which is the third biggest value? (a) g (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 2397.0567?\nAnswer: -9588.2268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tim when three letters picked without replacement from {w: 1, m: 1, f: 2, t: 11, i: 5}.\nAnswer: 11\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26.4 + 55. Let m = u - 3.2. What is m rounded to zero decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 104\/(-468) - (-3)\/(27\/2). Solve 5*r - 4*m - 4 = b, -6*r = -4*r + m - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1052 + 7439\/7. Let w = -661\/63 + t. Sort w, 0.7, -11 in decreasing order.\nAnswer: 0.7, w, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 2*y + 54. Let a = 59 + y. Let l be 7 - 5 - (0 - a). Solve 3*n + 5*p - 10 = 3, 0 = n + l*p - 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1213326302 to the nearest integer?\nAnswer: 34833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4\/4 - 8*a**3\/3 + 4*a**2 + 4*a + 3. Let u be k(7). Let q(b) = -2*b + b - u + 10. Give q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/3*(2\/10 + 0). Let l be 4*(2 - (-5)\/(-2)). Which is the closest to l? (a) -0.2 (b) d (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 12:56 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 102369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -183 - -2191\/12. Let l = -4891193445741\/164464 + 565064058\/19. Let p = l + -7\/541. Find the common denominator of i and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 + -4 + (-20)\/(-5) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44 + -39. Suppose 68 = -s*v - f, -2*f - 38 = 2*v + 2*f. Let i = -10 - v. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/7 - 422*g**3\/7 + 1066*g**2 + 2506230*g\/7 + 9630900 = 0 for g.\nAnswer: -203, -45, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -525*a**3 - 10*a - 11. What is the hundreds digit of g(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 6*b + 4. Determine y(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3423 (base 5) in base 9?\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 15*n - 11*n + 24*n)*(-3*n**3 + 3*n**3 - n**3).\nAnswer: 2*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 + 0*i**2 + 0*i**2 + (-3*i + 3*i - i)*(-i - 1 + 1) + 3456*i**2 + 17*i - 6912*i**2 + 3455*i**2 + 5.\nAnswer: i**2 + 17*i + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48384 and 256.\nAnswer: 48384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*t + 417*t - 12 = 0, -i = -t + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1007*b**6 - 3*b**2 - 89 wrt b.\nAnswer: -120840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -28 - (-14 + (30 - 2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*z - 3*g, 16 = -3*g + 1. Let c be 1*(0 - 0)*z. Let s(o) = -o**3 - 5*o**2 - 4*o + 1. Let d be s(-4). Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, -1\/4, -3\/4, 0.5, -38?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 + 135*t + 91. Determine d(47).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55*(-189)\/(-13365)*60\/7?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -14.59 (c) 0.4 (d) -199\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a minute in seconds?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t**3\/5 - 2876*t**2\/5 - 51328*t\/5 - 11264\/5 = 0.\nAnswer: -16, -2\/9, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 11:55 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 11:59 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8474 and 49970?\nAnswer: 11143310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 13164340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10795, 21549, 32247, 42889, 53475, 64005?\n\"Answer: -28*x**2 + 10838*x - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 798733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s - 23. Let b(k) = -4*k + 122. Give 3*b(c) + 14*x(c).\nAnswer: 2*c + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 391246 + 2616. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -34. Let h = o - 25.99858. Round h to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1536) - sqrt(1536)*-1 - sqrt(1536))\/(-2*sqrt(72)).\nAnswer: -5 - 4*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400694 is divided by 4451?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29599041*d**5 - 134443*d - 15.\nAnswer: -591980820*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 12*x**2 - 20*x + 7. Let o be p(10). Suppose -o*d + 11 - 4 = 0. Solve 0 = -3*i + d - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**5\/10 + 5*q**4\/18 - 2*q**3\/9 - 6*q - 2. Factor k(z).\nAnswer: 2*z*(z + 2)*(3*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i + 9*i - 5*i**3 + (0*i - 2*i**2 + 0*i)*(3*i - 3*i - 2*i) + 64*i**3 - 35*i**3 - 35*i**3 to q*i + a*i**3 + y + g*i**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 3*v + 5*v - 16*v - 7 + 7 + (1 - 1 + 1)*(5*v + 3*v + 0*v))*(3*v - v - 3*v).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 489 - 168 - 162 + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10160269 and 15010.\nAnswer: 101602690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1e (base 15) in base 5?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(sqrt(24)\/(sqrt(4)\/sqrt(2)))\/(2*sqrt(486)) + 0.\nAnswer: -10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11675181809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25921 divided by -1127\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -57*y**4\/8 - 17*y**3\/2 - 6*y**2. Let g be a(12). Let t = 4117\/2 + g. What is the common denominator of -121\/20 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61010*a - 14022 = -61181*a for a.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011001010111 + -1011?\nAnswer: -110011001100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36809, 36242, 35675, 35108?\nAnswer: 34541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 732071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326821 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1839777520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47611 is divided by 192.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5.43 times -4\nAnswer: 21.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by (-9*2\/4)\/((-9)\/54).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 + -130. Solve 3*u + 2 + 1 = x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/19 not equal to -2751016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303619 = 41*s - 293833. Suppose -36419 = -5*c + 2*y - 4*y, -3*y + s = 2*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 2*d + 167 - 166. What is the remainder when 19 is divided by v(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2353416496 to the nearest integer?\nAnswer: 48512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r**5 + 10910*r**4 - 727935*r**3 - 466970*r**2 + 1771660*r - 587640 = 0. Calculate r.\nAnswer: -2, 2\/5, 1, 83, 354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -15, -29, -37, -33, -11, 35, 111?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*l - 109*l**2 + 32*l - 74*l - 13 - 19.\nAnswer: -109*l**2 - 10*l - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.37 (b) 5\/2 (c) 1\/6 (d) -5606\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 3:42 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -0.4 (c) 17 (d) -342\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 15*v. Let i(z) = z. Let p(a) = -2*c(a) + 33*i(a). Let l(r) = -7*r**2. Give p(l(q)).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 361648.4ng in kilograms?\nAnswer: 0.0000003616484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 5 - sqrt(17)) + 5 - 4*sqrt(119)\/sqrt(7).\nAnswer: -4*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.77 + -43.77. Let g = q - 4. Let k = 46.99999979 + g. What is k rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 + 63*h**2 + 24*h - 91. Let w be o(-31). Calculate the highest common factor of 981 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2*(4 + sqrt(171)*-1)*-3)**2*-2 + -5).\nAnswer: -26938 + 3456*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11694 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.7 * 0.083.\nAnswer: 0.3071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 - -2) + 12 - (-112 + 129)) + 1 + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7))**(-6))**(-4\/3)\/(f**5*f**(-2\/15)*f**(-3)\/f**(1\/9)) assuming f is positive.\nAnswer: f**(-1273\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -c - 5*r - 1, 4*c = 5*r - 2 - 28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 47*b**3 - 178*b**3 - 36*b**3 - 154*b**2 + 2 - 151*b**2 + 303*b**2. Let x(d) = -d - 7. Let w be x(-6). List the prime factors of f(w).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16295*t**2 + 154*t**3 + 14*t**3 + 16295*t**2.\nAnswer: 168*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -98 = 1079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 0*x**2 + 0*x**3 + 1\/6*x**4 - 3*x + 1\/20*x**5 + 0. What is the third derivative of w(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llltftwwwtwffwlfwt. What is prob of sequence lwf?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 248, 253, 278, 335, 436, 593, 818?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 7*q = -q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -4\/7 (b) 5972 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*26\/(-12) - 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0+-4508.6763290259\nAnswer: -4508.6763290259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*x + 11. Let a(w) = -3*w**3 + 6*w**2 - 7*w - 1. Let j(n) = -4*n**3 + 7*n**2 - 8*n - 1. What is x*a(f) + 6*j(f)?\nAnswer: -3*f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - 2\/1 - -3. Suppose 2*l + 3*a = 3*l - 4, -a + c = -l. Calculate the common denominator of 53\/11 and (0 - 1) + -3 + (-34)\/l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1750 and 121800500.\nAnswer: 852603500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579494 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxebxxxmxmxbkm. Give prob of sequence mkxx.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 2*v - 333 + 23, -5*v = -3*u + 316. Let s be (-8)\/(48\/u)*-1. Let i = -5 + 8. Solve -s + 2 = -i*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 145, 174, 203, 232, 261?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604655570.\nAnswer: 2, 5, 67, 902471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8383356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -135 - -141. Let x(l) be the second derivative of -l + 1\/45*l**5 - 4\/27*l**3 + 1\/18*l**4 + 0 - 1\/135*l**k - 4\/9*l**2. Factor x(j).\nAnswer: -2*(j - 2)**2*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrcgzlxg. Give prob of picking 1 g, 1 c, 1 l, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*p + 4*o, 4*p + 24 = -5*o - 0*o. Let a be ((-6256)\/176 + 35)\/((-1)\/11). Put p, a, 3 in increasing order.\nAnswer: p, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = -2. Let o be n\/(15\/(-42)) + 3. Factor 3\/5*j**2 - o*j + 0.\nAnswer: j*(3*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -15, 2, -0.1, -0.14, 0.22, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/11, 3\/200, 2\/5 in decreasing order.\nAnswer: 3, 2\/5, 2\/11, 3\/200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 219 - (725 + -626)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 580411, 1161330, 1742249?\nAnswer: 2323168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -162, 3, -3, -2, 2 in descending order.\nAnswer: 9, 3, 2, -2, -3, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 10:10 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107950 and 3400.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 262709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 9:37 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**4 + 132*h**3 + 4*h**2 + 104 wrt h.\nAnswer: -24*h + 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 4*d + 85, 4*z - 6*d + 3*d + 69 = 0. What is the hundreds digit of (-11178)\/(-14) + 9\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**2 + 3*w + 5. Let o be x(4). Suppose 4*m = 5*k + 182, 3*k = 3*m + 4*k - 146. Suppose -26*v + 10*v + m = 0. Solve -4*p + v = -o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g = -26*g. Let y(h) = 4*h**2 + 4*h + 7. Let s(m) = -7*m**2 - 7*m - 15. Let l(j) = -3*s(j) - 5*y(j). What is the units digit of l(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.829177 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176233.\nAnswer: 29, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - f + 1. Let p(n) = 4*n**3 - 5*n**2 - 3*n - 5. Let g(q) = -p(q) - 3*w(q). Calculate the lowest common multiple of 8 and g(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/((-80)\/(-64))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3426*j**2 + 330*j**4 - 1710*j**2 - 1716*j**2)*(-2*j + 4*j + 0*j).\nAnswer: 660*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28027032349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17872a8 - 18?\nAnswer: -1787304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -r, -2 + 0 = 3*m + 2*r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 0) + 20 + -14 + -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 31*n = 104120. Let s = 26126 + n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301 * 1\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001699917 to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + -2*sqrt(1694) + (sqrt(112)*-1)\/sqrt(8))\/(sqrt(20)\/(sqrt(10) + 1*sqrt(10)) - sqrt(18)*-4).\nAnswer: -44*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 76. Let x = 9 + l. Calculate the common denominator of 21\/4 and x\/56 + (-5)\/20.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68)*-2 + sqrt(68)) + 4*sqrt(68)*-2)\/(6*(-3*sqrt(64) + sqrt(64))) + 0 + 4.\nAnswer: sqrt(17)\/16 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-8)\/m*m**(-23))\/((m*m*m**(-1\/6))\/m*((m\/(m*m**(1\/9)))\/m*m)\/m))**(2\/59) assuming m is positive.\nAnswer: m**(-571\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16904.9 - -16905. Which is smaller: q or -688\/9?\nAnswer: -688\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -6\/11, -18 in descending order.\nAnswer: -6\/11, -0.7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 720.8585 micrograms?\nAnswer: 0.0000000007208585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1547 - 1?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3206 * -0.024979\nAnswer: 80.082674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2\/7 - 68*h\/7 - 578\/7 = 0. What is h?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.3, 87 in increasing order.\nAnswer: 2\/13, 0.3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56912\/27 + 284776\/135. Factor -1\/5*x**5 - 1\/5*x**4 - q*x + 14\/5*x**3 + 28\/5*x**2 - 32\/5.\nAnswer: -(x - 4)*(x - 1)*(x + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (144\/(-49))\/4*(-66)\/((-3432)\/182).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735 divided by -5.\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 676?\nAnswer: 676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-8) - 12\/(-16). Let t = r + -1. What are the prime factors of t*(-3)\/(-9) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14685.6 * -0.004\nAnswer: 58.7424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 2*y - 20. Let o be b(-6). Suppose -o*j - 5*r = -113, -4*j = -3*j - r - 26. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/12 + 33302599*u\/12 - 5550433\/2.\nAnswer: -(u - 33302598)*(u - 1)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h + 3*h - 96. Suppose -h*y + 789 = -5*y. What are the prime factors of y?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-15)\/(-108) + 2555\/30. Solve 3*o = -74 + d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -693 (base 13) to base 3.\nAnswer: -1120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1574*s**2 + 251 - 7*s + 1567*s**2 - 3184*s**2 wrt s.\nAnswer: -86*s - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y + 3. Determine h(-14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 319 divide 129334370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*y + 233*y = 182*y + 5488 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 4*h - 4*x + 6 = 0, -4*h - 2*x - 12 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 6*u**2 + 5*u. Let w be k(-5). Suppose 4*n = -w*n. Let b = -261 - -265. Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 333 and 2232?\nAnswer: 82584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12699530 is divided by 82464?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 41676\nAnswer: -2\/10419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -32 times 51851\nAnswer: -1659232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1478, 5882, 13214, 23468, 36638, 52718, 71702, 93584?\nAnswer: 118358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from drydy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:42 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*k - 9, 780 = -4*k - 4*s + 736. Let x(u) = -4*u**2 - 12*u + 2. Determine x(k).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 0.1102\nAnswer: 0.8898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-5)\/150 - (28966\/(-245) - -10). Is -0.1 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*b - 319*b = -60 - 240 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 + -9)\/((-15)\/(-10)). Which is the second smallest value? (a) 0 (b) 0.06 (c) t (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2\/2 - 300285*c - 18034216245\/2.\nAnswer: -5*(c + 60057)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19)*-4*2)*-1.\nAnswer: 1 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 - ((-10)\/45 - (-114)\/27). Let i = -14 - -16. Suppose g = -p + i*p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 164263 and 9042?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(1*sqrt(5)) + 1 + 6*sqrt(36)\/sqrt(2).\nAnswer: 1 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -145586915 times 0.04?\nAnswer: -5823476.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 20. Let r(x) be the second derivative of 0*x**2 - 1\/42*x**7 - 1\/6*x**3 + 1\/10*x**5 + 0 + 0*x**6 + 0*x**d - x. Factor r(w).\nAnswer: -w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -278, -2168, -7292, -17270, -33722, -58268?\n\"Answer: -270*g**3 + 3*g**2 - 9*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.9 - -3.9. Let a = -1277 - -1271. What is the nearest to 6 in r, 2\/15, a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**4\/12 - d**3\/3 + d**2. Let t(w) = -3 - 2 + 9 - 5*w. Let s = 2 - 5. Determine s*t(j) - 7*i(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57332\/1914*7\/14 - ((-84)\/(-7) + 3).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3598*i + 299. Let l(h) = -8*h**2. Determine f(l(t)).\nAnswer: -28784*t**2 + 299","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = g + 1. What is the remainder when 135\/6 + -4 + (-2)\/(-4) is divided by -2*((-14)\/g)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 + (-22)\/(-20). Let g = -48.449 + 33.449. Which is the nearest to 0.1? (a) f (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + b - 1. Let g be c(-2). Factor -g*w**2 + 17 - 53 - 4*w**4 + 13*w**2 - 16*w**3 + 48*w.\nAnswer: -4*(w - 1)**2*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -15. Suppose 3*s - o*i = 4, -4*s + 2*i = -2*i. Calculate the highest common factor of s and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 27 = 5*u, -4*u + 2 = 576*t - 577*t - 4 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 6*q - 6. Let w be y(5). Let d(i) = -i**2 + 8*i - 10. Suppose 13 = 3*z + 2*l, 2*z + l - 2 = -2*l. Let m be d(z). Is w less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 35*r**2 + 192*r + 544. Let y be p(-29). Let j(h) = 17*h + 4. Let q be j(6). Let o = q + -51. What is the highest common divisor of o and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 - 84\/10 - (-4)\/(-2). Let t = -14 + 14. Which is the second smallest value? (a) f (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*j - j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/1935 or 0?\nAnswer: -14\/1935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984775 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -16?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 68648, 137307, 205988, 274703, 343464, 412283, 481172?\n\"Answer: 2*r**3 - r**2 + 68648*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*g = 3*r - 41, g + 2 = r. Let w = r + -2. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-45)\/12 - -3)\/((-42)\/168). Let c(q) = 2 - 5*q + 0*q + 2*q. Let p(f) = -f + 1. What is m*c(d) - 6*p(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 564104531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ff78e + 143?\nAnswer: -ff64b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/240 and 113\/18084.\nAnswer: 361680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.8 + 1.2. Suppose 0 = 3*i - 3*a - 9, 25 = -a - 4*a. Let k be i - ((-20)\/(-6))\/(-2). Sort k, -3, r in decreasing order.\nAnswer: r, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -57. Let f be -2 - y\/((-10)\/(-6)). Solve 2*i = -f + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-10))\/(-3) - 8\/30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15559\/5 + 15561\/5. Suppose t*f**4 + 576\/5*f + 192\/5*f**2 + 0 - 44\/5*f**3 = 0. What is f?\nAnswer: -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-20935264)\/(-532) - (-16)\/((-6)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -1012440?\nAnswer: 1012430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30 and -3.9.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 17*v - 9*v. Suppose v = -16*s + 506 + 15430. List the prime factors of s.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2305268 divided by -67802.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 7*k - 19. Let x be z(-7). Let p(b) = -b - 4. Let c be p(x). Suppose -800 = -c*m + 2290. List the prime factors of m.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**6\/42 - 3*b**5\/20 + 11*b**4\/28 - 23*b**3\/42 + 3*b**2\/7 - 116*b. Suppose u(d) = 0. Calculate d.\nAnswer: 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11480, -3\/5, -1, -24 in decreasing order.\nAnswer: 11480, -3\/5, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 136578.8km in micrometers?\nAnswer: 136578800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/12 in -15, 68, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 485 + -1063. Let c = 578.0000387 + w. Round c to six decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 1\/4*b**4 + 0*b**2 - 13*b - 1\/2*b**3 + 0. Factor f(g).\nAnswer: 3*g*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20725 - -12138. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13\/4, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 11 + 31. Suppose 34 = 2*t + n. Let h(v) = -5*v - 21. Let i be h(-9). Calculate the highest common factor of t and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*s + 260*s - 14996 = 6100 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 - 26*j - 9. Let n be s(9). Suppose -25*g + 13083 + 42 = n. Does 15 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 9*h + 15. Calculate x(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14898.\nAnswer: 2, 3, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 0 - 1\/3*a**4 - 4*a + 5\/2*a**2 + 0*a**3. What is the derivative of y(g) wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*5*6*(3 + -5 + (sqrt(176) - sqrt(11))**2).\nAnswer: -2914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*i - 4*i - 3*i**2 - 7*i - 20*i.\nAnswer: -3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-186709)\/(-17) + (-6)\/5*(-265)\/2703. What is the highest common divisor of p and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 640909 = -4*t + 587987, t - 4 = 0. Suppose -2*k = 5*y - 511992, -3*y + 2*k + s = -3*k. What is y rounded to the nearest 1000?\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 103545\/37 or 2798?\nAnswer: 103545\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -146 in 2, 10354, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -9 (b) -2\/51 (c) -5 (d) -0.3 (e) -2\/23 (f) 0.36 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -1. Let d be p*2*(-4)\/(-8). Solve 4*y**2 + y**2 + 5*y**2 - d*y**2 + 20*y = 0 for y.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*r + 190*r - 5*i - 26 = 0, i = 5*r - 16. Factor 1\/2*o**r - 2*o - 6.\nAnswer: (o - 6)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-7)*(2 + (-27)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4 = -v - 7, -4 = -4*v + 4*x. Let r = -322 - -184. Is -2 + (r - -2)*v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 8*l**2 + l + 20. Let v = -3757 + 3765. Calculate h(v).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 5*s + 4*r, s + 6*r - 3*r = -18. Let f be (s\/15)\/((-4)\/10). Suppose 3*c - 73 = 2*o, f*c - o = -5*o + 61. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -265 - -1850\/7. Calculate the common denominator of y and -5\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1363 + -779. Suppose -2*i + 4*d + 40 = -252, 0 = -4*i + 5*d + x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.03 + -2.15. What is a rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from {c: 2, r: 1, x: 2, l: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 5:49 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 4. What is p(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3917, -3902, -3887, -3872, -3857?\n\"Answer: 15*z - 3932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from qqpppwqppqqwqwwppqwp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:38 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 11, o: 1, e: 6}. What is prob of picking 1 o, 1 e, and 1 l?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 66606?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26891 is divided by 861.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2*(-2)\/(-2))\/(-1). Let i(r) = r**3 + r**2 - 4*r + 3. Let b be i(l). Let c = 12 + -5. Calculate the highest common factor of b and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 159 = -6*n. Let k(f) = n*f**2 + 20 - 21 + 6 + f. Is k(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 34 = 2*f, f + 24 + 42 = 5*h. Calculate the remainder when (3\/(-6)*-2)\/(h\/238) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 303000302?\nAnswer: -303000311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, q: 2}. Give prob of sequence vqq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.5? (a) 4 (b) 0.2 (c) -7 (d) -0.3 (e) -8 (f) -3\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1839, 38, 3, -4 in decreasing order.\nAnswer: 1839, 38, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 125770067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (142 - 136) + (0 - 9) + -1 + -36\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-1 + 1 + 2*n**5) + 3*n**4 + n**5 - 3*n**4 - 14 - 3*n**5 + n**5 + 12.\nAnswer: -3*n**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3506 - 66612\/19. Let i(m) = m**2 - 12*m + 15. Let r be i(10). Which is the second smallest value? (a) -22 (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271352 rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-34)*327\/4504752*-714?\nAnswer: 1\/164","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24201 + 12323?\nAnswer: 42024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161.0556 grams to micrograms.\nAnswer: 161055600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexeeeeeeeeeeeeexe. What is prob of sequence eex?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q + 103. Let o(u) = -5*u + 74. Let x(r) = -3*n(r) + 4*o(r). Give x(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 64 + 39 = 5*m, -2*m - 16 = -k. What is the third derivative of -6764*u**6 - 5*u**2 - u + 3*u**5 + 6765*u**6 + k*u**2 wrt u?\nAnswer: 120*u**3 + 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1804.325 to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/24772 and 127\/36.\nAnswer: 222948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 6*g - 5. Let m(r) = -r**2 + 8*r + 3. Let n be m(9). What is t(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 220816, 883273, 1987368, 3533101, 5520472?\n\"Answer: 220819*i**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*b - 20 - 22 + 39)*(0*b + b + 0*b) - 870*b - 26*b**2 + 870*b.\nAnswer: -10*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*i + 10, 2*z - 2 = -i + 6. Let n = -1574 + 928. Let f = n + 653. Solve -2*a - z - f = 3*b, b - a = -5 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-195*m + 548 - 114*m + 541 - 1089).\nAnswer: 309*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.49 and 44.\nAnswer: 21.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23718.7 meters in micrometers?\nAnswer: 23718700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (2 - 6) + 0. Let a(f) = -15*f - 7. Let j(i) = 4*i + 1. Let g(n) = -a(n) - 4*j(n). Determine g(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414317752?\nAnswer: 2, 907, 194917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.1 + 6. Let n = -1.2 - o. Let v = -1.09 - -1. Does v = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(17\/5 - (-2)\/(-5)). Suppose 2*j - i*w - 6 = 0, -w = -5*j - 2*w + 69. What is the highest common divisor of j and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j - 16. Let i = j - 2. Is 9 a factor of (-1)\/(i\/(-2*25))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8*l - 18*l + 8*l.\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 + 0*w**5 + 2*w**5 + ((-2*w + w**2 + 2*w)*(3 - 2 - 2) + 9*w**2 - 13*w**2 - 14*w**2)*(-6*w**3 + 5*w**3 - 2*w**3).\nAnswer: 56*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10b (base 14) in base 16?\nAnswer: cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/30 and -13\/190?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21\/2*z**2 + 15\/2*z - 3.\nAnswer: 3*(z + 1)*(7*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-14) + ((-611)\/14 - 5) and 226\/(-12) - (-2)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tottvvoovtootvtt. Give prob of sequence ott.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 168008273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115838*s**5 + 2*s**4 + 492426*s**2.\nAnswer: -6950280*s**2 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -26.2443.\nAnswer: -25.7443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2678 and 2613934.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*u**4 + 4*u**2 + 1171*u.\nAnswer: -720*u**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 265225413381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.014, -81, 1, -1, -2 in descending order.\nAnswer: 1, -0.014, -1, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4254232670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3306*u**2 - 12 + 51 + 28 - 29736*u**2.\nAnswer: -26430*u**2 + 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 438 and 42.\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + a - 2. Let r be 0 - 1 - (30 - 30). Let b(c) be the third derivative of c**5\/60 - c**3\/6 - 9*c**2. Calculate r*l(d) + 2*b(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 2*n**2 - 8*n - 43. Calculate u(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 282 - 286. Which is the closest to 1? (a) 0.1 (b) s (c) 4 (d) 0.069\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005477659 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 290, 561, 1016, 1661, 2502?\n\"Answer: g**3 + 86*g**2 + 6*g + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10298 (base 11) to base 7.\nAnswer: -61463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65934 and 354618?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 0.07, -2\/5 in decreasing order.\nAnswer: 0.07, -0.03, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5 = 3, -3*w = -4*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 60330891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*b - 1269 = 0, 2*b - 25 = -3*b. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3)*x**(-2\/7)*(x**(-2\/5))**(4\/23))**5 assuming x is positive.\nAnswer: x**(-1663\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2222 is divided by 553?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*d + 309337 - 308343 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3727 - 3731 - w + 7460. Let u(p) be the third derivative of p**4\/24 - p**3\/6 - p**2. What is 3*t(n) + 2*u(n)?\nAnswer: -n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (15\/18)\/(4\/(-8)). Let h = -4 - 1. Let j = 4 + h. Which is smaller: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = i - 47, 9*i + 3*t - 345 = 4*i. Let l(m) = m**2 + 23*m + 66. Let c be l(-21). Calculate the highest common factor of i and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12627 + 29404. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 19 = -2*x + 4*w, -2*x - 6 = 4*w. Let i = -0.01 - -0.41. What is the closest to 1\/2 in x, i, 3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1251615 and 5934990.\nAnswer: 2715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3*a - 25 + 1, -35 = -5*d + 5*a. Let t(b) = 19*b + 2. Let y be t(2). Let i = 41 - y. Solve n - d + i = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + (-1 - (-4 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -187807, -751234, -1690277, -3004936, -4695211?\n\"Answer: -187808*v**2 - 3*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1674864+-1223.6998\nAnswer: 1673640.3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j + 13. Let f be (-8)\/(-10) - (-1064)\/20. Let i = f - j. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 32 = 3*h. Let y = -10 + h. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 96*70\/45 - (-4)\/(-3). Let r(n) = -o - 2*n + 148. Let w(m) = -5*m**2. Determine w(r(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 6. Let a(c) = c**3 + 13*c**2 + 11*c - 5. Let w be a(-12). Give g(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 200 + -209. Let f = 4 - 6. Calculate the common denominator of 139\/12 and f\/s*(-642)\/(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87327140?\nAnswer: 2, 5, 1231, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - o**2 + 94*o**3 - 59*o**3 + o**2 - 113*o**3.\nAnswer: -78*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8 + 3 + d + 0*d. Let b be f(5). Let n(k) = 4*k**2 - 3*k**2 + k + 2*k + b - 1. Determine n(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - w. Let o(v) = -6*v**2 - 2*v - 2. Let j(y) = 6*y**2 + y + 3. Let l(x) = 2*j(x) + 3*o(x). Let t(a) = 10*d(a) - 3*l(a). Factor t(n).\nAnswer: -2*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59752611 to the power of 1\/2, to the nearest integer?\nAnswer: 7730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.153 + 12.753. Let v = -47.4 - w. Let z = v + 60.000116. Round z to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1055*g**3 - 3*g**2 - 3*g + 8. Let d(p) = 1056*p**3 + 2*p**2 + 2*p - 6. Determine -3*d(b) - 2*x(b).\nAnswer: -1058*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867418 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -18. Suppose s + 2 - 6 = m. Solve -2*n - 8*l = -3*l + 12, -2*n = -3*l - s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -13*p - 72. Give v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 28*n + 261. Determine d(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32776.\nAnswer: 2, 17, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510*a - 1005*a - 824*a = 935*a + 56350 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-70) - 730\/(-3066)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (20 - -5 - (22 - 13)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -2. Let h be -1 + (t - 5)*-2. What is the second derivative of -h*v**5 + 2*v**5 + 2*v**5 + 2*v wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 1637*d - 1639*d + 12, 0 = -2*y + 9*d - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245 divided by 5.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -9*x - 18. What is the units digit of d(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 109 = -3*t + 19, -t = -4*d - 468. Let v be d\/(-7) + (-36)\/(-84). Calculate the highest common divisor of v and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 17*n**5\/60 + 91*n**4\/24 + 7943*n**3\/6 + 3*n**2 + 27*n + 10. Find the first derivative of z(l) wrt l.\nAnswer: 34*l + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*s - 12, 4*g + 37 = -3*s - 0*s. Let r(m) = m**3 + 7*m**2 - 14*m - 9. What is the remainder when r(g) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9406 (base 14) to base 8\nAnswer: 61616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 3, 10, 19?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/10 - (-16)\/(-20). Let y(j) be the second derivative of 5\/24*j**4 - 1\/2*j**a + 0 + 1\/4*j**3 + 2*j. Factor y(f).\nAnswer: (f + 1)*(5*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d + d - 3*d + (-3 - 4 + 5)*(0*d - 2*d + 3*d) + (1 - 2 + 4)*(2 + 5 + 0)*(-4*d + 0*d + 2*d).\nAnswer: -43*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1052796354 divided by 59.\nAnswer: 17844006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-96)\/(((-1)\/(-4))\/(19\/114)). Let u be 500\/280*w\/10. Which is smaller: -10 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1797 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: In base 15, what is -9d + -265?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2 - 48*l - 19. Calculate r(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 14. Let p be j(-6). Let a be (-800)\/300*(-15)\/(-4). Sort -2, a, 0, p in increasing order.\nAnswer: a, -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 + -23. Suppose -n + 3*n = -u. Let f = -21 - n. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 4) + 1 + 1. Let f(j) = -27*j + 44*j - 20*j. Let m(h) = 3 + 0 - h - 2. Calculate p*m(y) - f(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 3296 and -5.\nAnswer: 3291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414785\/(-50646) - (2 + (2 - 32))?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**6\/120 - x**5\/10 + x**4\/24 + 2*x**3\/3 + 16*x**2. Suppose 0 = -p - 4*y - 14, 5*p - p + 4*y = -32. Give f(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Let q(v) = 10*v - 6. Let k be q(9). Suppose 0 = 4*p + 3*b - k, 0*p = j*p - 3*b - 132. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211883190 < 211883190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 5*n + 99298 = 23*k, -k + 2*n + 24831 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -1147 + 1133. Put 3, 53, -13, u in descending order.\nAnswer: 53, 3, u, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5\/4 (b) 52 (c) 11\/6 (d) -0.2 (e) -1 (f) 3.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**3*w*z**3 - 4*s**3 - 3777*s*w**2*z**3 - 96*s*w**2 + 4*z**2 wrt z.\nAnswer: -6*s**3*w - 22662*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**13)**21\/(g**(-8\/7)*g**(-2\/11)) assuming g is positive.\nAnswer: g**(21123\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7497600 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-20*(-1)\/20)\/(-2 + 3)*-26\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (29 + -1 + -673 + 674 - 16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3289 and 26213?\nAnswer: 7837687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 9:54 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -38\nAnswer: 31\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Suppose 14 + y = 5*t. Suppose 0 + 2\/9*w + 2\/9*w**t + 4\/9*w**2 = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovv when three letters picked without replacement from {v: 5, o: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26.6 - 27. Which is the fourth smallest value? (a) -5 (b) -3 (c) 0.4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p + 113 + 110 = 223. Let v(m) be the third derivative of -1\/12*m**4 + 45*m**2 + 0 + 0*m**3 - 19\/60*m**5 + p*m. Let h(y) = -y. What is h(v(x))?\nAnswer: 19*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuwu when four letters picked without replacement from {w: 5, u: 11}.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 401345 and -142?\nAnswer: -56990990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4578\/16 - 37\/296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1052\/7*c - 4\/7*c**3 - 204\/7*c**2 + 180.\nAnswer: -4*(c - 1)*(c + 7)*(c + 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20\/19376921 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -20. Let j = g - -16.2. Let x = j + -0.20000007. Round x to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 18. Calculate the least common multiple of l and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(15)\/(sqrt(3)*-2)) - (-3 + 0 + sqrt(5324)))**2.\nAnswer: -156*sqrt(11) + 7445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15836 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/16, 3\/4, 2\/1121, -9 in ascending order.\nAnswer: -9, 2\/1121, 5\/16, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 1995323.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5238156 is divided by 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*p - 12091 - 3989 = 0 for p.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42454.\nAnswer: 2, 21227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -754, -760, -780, -820, -886, -984, -1120, -1300?\n\"Answer: -k**3 - k**2 + 4*k - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 430\/(-150))*-3. What is the third biggest value in b, 3, 894?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.16 and 0.0585662392?\nAnswer: 0.1014337608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 1:00 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*3)\/sqrt(9)*-4.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 41 = -4*g. Suppose 0*j + 4*j = 0. Let h be ((-17)\/(-1) - -1) + j. What is the highest common factor of h and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - i**2 + 4*i + 1. Let l(t) = 2*t**3 + t**2 - 8*t - 2. Let h(m) = -4*l(m) - 7*w(m). What is h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.53 + 0.23. Suppose 4*y = 9*y. Which is the closest to y? (a) h (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3283*n**4 + 2076?\nAnswer: -13132*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-12)\/(-62))*(-31)\/((-1271)\/82)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 12. Suppose a - 8 = -f*a. Suppose 9 = 2*b - 4*b - t, -2*t = -a*b. Let i(v) = -3*v - 4. Calculate i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(-14)\/12*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69.5 + -69. Let s = -3 - -2. Which is the closest to s? (a) 1 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 4:45 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -201 - -215. Suppose -5*r + 77 + 58 = 0. What is the remainder when r is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 1. Let d(i) be the second derivative of -7*i**4\/4 - 12*i + 8954. Let y(p) = 10*p**2. Determine h*d(u) + 7*y(u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 11:11 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -28827.6.\nAnswer: -57655.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1455980 and 2505640.\nAnswer: 107742520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 36*g. Let m(r) be the first derivative of -26*r**3\/3 + 110. Calculate m(k(t)).\nAnswer: -33696*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r - 47 + 5*r + 49 to the form u + b*r and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*v - 629*v + 37517878 + 2737681. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61799583653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -v**4\/12 + 8*v**2 + 4. Let y(u) = 6*u**2 - 2. Calculate y(z(b)).\nAnswer: 24*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 98\/(-21)*(-4 + 1). Suppose -c = -5*t + 11. Calculate the remainder when 14 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 166.35195 minutes?\nAnswer: 0.1155221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5998 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 16 = -28. Let i be (0\/3)\/1 - (g - -3). Suppose 0 = v - 3*v + q + 207, -i*v + 310 = -q. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**3 + 0*w**3 + 9*w**3)*(-57 + 30 + 29 - 57*w) to n*w**4 + q + y*w + l*w**3 + m*w**2 and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2013 (base 4) to base 13.\nAnswer: a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29053.\nAnswer: 17, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -5, -632, -4 in ascending order.\nAnswer: -632, -6, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4186.589m in micrometers?\nAnswer: 4186589000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -6 + 38. Let v(o) = -8*o**2 - 9*o - 7. Let s(u) be the third derivative of u**5\/5 + 7*u**4\/12 + 11*u**3\/6 + 2789*u**2. Determine z*v(t) + 5*s(t).\nAnswer: -4*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 4:27 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*a - 5 = 0, 6*b + 5*a = 5*b + 4. Let i(l) = l**2 + 8*l + 7. What is i(b)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*o + 51*o - 167156 = -1896*o - 3546*o for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2299 - 2305. Let n(r) be the first derivative of r**3\/3 + 3*r**2 + 8*r + 1. Determine n(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/11 - 1116*x\/11 - 30682\/11 = 0. What is x?\nAnswer: -529, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 933196, 1866414, 2799654, 3732916, 4666200, 5599506, 6532834?\nAnswer: 7466184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 1209*q + 1220*q + 85, 7 = 3*i - 5*q for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84651 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*l + 25*l + 271*l + 18*l.\nAnswer: 597*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - sqrt(84)*-1)*-2)\/(sqrt(12) + (sqrt(12) - (sqrt(432) + sqrt(432) + (sqrt(432) - (sqrt(432)*-2 + sqrt(432))) - sqrt(432))) + sqrt(12)).\nAnswer: 4*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252, 501, 750, 999, 1248, 1497?\nAnswer: 1746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 506 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 divided by 2456?\nAnswer: 71\/2456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6425 - 6\/3 - -2. Let f = a - -64333\/10. Calculate the common denominator of (-92)\/(-3)*2\/(-4) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6253, 12513, 18777, 25045, 31317?\n\"Answer: 2*x**2 + 6254*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 184510670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66 and 175483275?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(68) + sqrt(68)*-2 + sqrt(68))*-6)\/(-4*sqrt(400)*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10567664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/170 and (1\/476)\/(-12 - 42135\/(-3510))?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.8 to 0 decimal places.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.08179632206 and -0.274.\nAnswer: 0.80779632206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/3 - -5)\/((-1)\/27). Let t = 29 + q. List the prime factors of 5 - 3 - 0\/(t + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12088 is divided by 1491?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 10955029 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/19 - 154*g**4\/19 + 3036*g**3\/19 - 136*g**2 - 304*g = 0. What is g?\nAnswer: -1, 0, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 302 - 1807\/6. Let m = -5 + 4. Let j = 2 + m. What is the nearest to -0.1 in p, -2\/17, j?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -359*b**3 - 4*b**2 + 192*b + 4. Let g(a) = 359*a**3 + 3*a**2 - 190*a - 3. Let v(h) = -4*g(h) - 3*y(h). What is the second derivative of v(j) wrt j?\nAnswer: -2154*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -141 + 51. Let u = h - -137. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31241, 62482, 93733, 125000, 156289, 187606?\nAnswer: 218957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.102999749 rounded to four dps?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 23. Let f be t(18). Suppose -10 = -b - f*r - 0, -r - 50 = -5*b. Suppose 2*j + b = 5*c - 3*c, c = -3*j - 15. Solve -2*a - 8 + 10 = c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {c: 3, s: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**5\/20 - 4*t**4\/3 - 5*t**3\/2 + 5*t**2 + 7*t + 2. Let r be z(-15). Suppose -60 = -2*w - r*w. Solve -1 = 2*u - w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -47*v**2 + 31*v**2 + 4*v**3 + 6 + 22*v**2. Let p(g) = -11*g**3 - 17*g**2 - 17. Calculate -17*c(r) - 6*p(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268 by -6.\nAnswer: -134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 - -203. Suppose -i + w + 338 = 0. Let j = i + -6413\/13. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3925 in 0.5, -12.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.12051309 - -0.12043. What is b rounded to 6 decimal places?\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (3 - (5 - 5 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.31 + 0.61. What is the second biggest value in -6, u, 4, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -6 (c) -12 (d) -133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -21. Let p = 0.0034 + 2.8966. Which is the fourth biggest value? (a) -1 (b) j (c) 3\/2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 108.69094 + -81.6898. Let f = 6558 + -6585. Let s = f + y. What is s rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 85813728568?\nAnswer: 85813728568.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3040 and 687648.\nAnswer: 3438240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 - -0.6.\nAnswer: 95.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*y + 11*y - 19*y - 23*y.\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 2 - (-29 + 28).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.124 - -0.646. Let i = 0.97 - k. Which is smaller: i or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1109881 or 1109882?\nAnswer: 1109881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258 > 3681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10 = -2*i, i + 2 = 4*i - 5*c. Suppose -28*j = -i*j - 1152. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28835 - 58787. Is 4\/30 + q\/(-135) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 2*l + 2. Let s be x(2). Let m = 1 + s. Suppose -17 = -5*p + m*d, -4*p = -0*d + d. Which is the closest to p? (a) 1\/5 (b) 1\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -330233, -330231, -330229?\n\"Answer: 2*u - 330235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2207304 divided by -33.\nAnswer: 66888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 20*z**2\/3 + 54*z + 56\/3.\nAnswer: -2*(z - 4)*(z + 7)*(3*z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**5\/30 + f**4\/8 + 5*f**3\/6 - 6*f**2. Is o(-5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1))**(2\/17)*p*p\/(p\/p**(2\/21))*p*p\/p**(-5))**(9\/7))**29 assuming p is positive.\nAnswer: p**(14790\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + l - 0*l - 7, -2*w + 5*l = -19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4183? (a) -1\/13 (b) 8\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((207\/23)\/9)\/(5\/82))\/(42\/(-105)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 7:34 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1743 = -3*q + 13428, -w = 2*q - 10119. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -2154.49?\nAnswer: -861.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - (3 - 2))*1. Suppose -2*f + 4*w + 6 = -m*f, 2*w = 0. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346079 is divided by 412.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 15*f**2 + 43*f + 422. Let t be y(-14). What is the greatest common divisor of t and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6787775 and 1525?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 27264946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -499304.2+68\nAnswer: -499236.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -21*h + 1. Let l be q(-1). Suppose -2*u - 3*j + l = 0, -5*u + 2*u + 2*j = -20. Suppose 2*w + 4 = u. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6835 or -6844?\nAnswer: -6844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19205 is divided by 6400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (-35)\/42*(4 - 0). Let z be (-15)\/5 + (-16)\/(-6). Which is the nearest to v? (a) 4 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -17. Suppose q + o - 3 = -1, v*o - 4 = q. Solve w = -w + 8, q = t - 4*w + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(77)*4)\/(sqrt(55)\/(sqrt(60)\/sqrt(432))).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*j + 383 + 15*j - 71*j + 19*j + 19*j to the form v*j + y and give y.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9a98d4 - -3d?\nAnswer: 9a9911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -4.05. Let f = z - -4.05. Let r be -4 + 5 - (-1)\/(-2). Sort r, f, -2.\nAnswer: -2, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6 - 8*x**3 - 3*x**3 - 3 - 2*x**2 + 3*x**3. Let v(l) = -15*l**3 - 4*l**2 + 5. Let m(u) = 5*n(u) - 3*v(u). What is the third derivative of m(o) wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -485, 2, 4, 490, -11 in decreasing order.\nAnswer: 490, 4, 2, -11, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121869043?\nAnswer: 59, 2065577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 6625 = 8121. Which is the closest to f? (a) 5 (b) -5\/2 (c) 0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oll. What is prob of picking 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6107 + 36647\/6. Suppose -s*l**2 + 5\/3*l + 5\/2 = 0. What is l?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 481*j**2 + 255*j**2 + 12*j**3 - 10*j**3 + 2291*j**2.\nAnswer: 2*j**3 + 3027*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 4 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0773001 minutes to days.\nAnswer: 0.000053680625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**2 + 244*x + 7442 = 0?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4 - k**3 - 13*k**2 + 25*k - 12 = 0. Calculate k.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 6. Let v(t) = 1. Let q(r) = m(r) - 2*v(r). Let a(i) = -2*i. Determine a(q(k)).\nAnswer: -2*k + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2 - 44842936*l - 251361113637512 = 0. What is l?\nAnswer: -11210734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 811195 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 2 = -49 - 4. Let b(q) = -q - 1. Let n be b(-1). Sort n, -10, r, 5.\nAnswer: -10, n, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 46. Let m(s) = -4*s + 46. Suppose 10 = 4*d - c, 4*d - 142*c - 22 = -147*c. Give d*t(y) + 2*m(y).\nAnswer: y - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(22) + (sqrt(264)\/sqrt(6))\/sqrt(2) + 2*sqrt(22)*1)\/(sqrt(2) + 2*sqrt(18) + (sqrt(24) + sqrt(384))\/sqrt(12)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 - 1. Let a = -0.07 + 0.67. Let m = a + h. What is the smallest value in m, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3156 and -3.\nAnswer: 9468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 14 = -6*d. Suppose -20 = d*k - 36. Suppose -4*v + 2*s + 26 = 0, 30 + 10 = 5*v - 4*s. Solve v*g = 4 + k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01275 times -1069\nAnswer: -13.62975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 348, -3 in decreasing order.\nAnswer: 348, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1251 (b) 2.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63827513, -127655027, -191482541, -255310055?\nAnswer: -319137569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 + 7 = 0. Let r(l) = -l**3 + 45*l**2 - 32*l + 1442. Let x be r(45). Put -58, x, z in descending order.\nAnswer: x, z, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/(g**(4\/3)*g))\/g)**(1\/14)*g*g**(-12)*g**(5\/4)*g)**2 assuming g is positive.\nAnswer: g**(-743\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -83, -151, -243, -359, -499, -663?\n\"Answer: -12*q**2 - 8*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from ino?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 54.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = c + 7*h - 40, 5*c - 108 = 3*h. Suppose 7 - 1 = -o + 5*b, -2*o + b + c = 0. Calculate the remainder when (-4)\/6*(-477)\/6 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 - -70. Is (-6)\/6 + (y - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 - 3)*(2*j + 1 - 1) in the form w + o*j and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420874879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 993290 divided by -5?\nAnswer: -198658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 39. Suppose -a*w = -7 - 149. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.2 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*-12934\nAnswer: 20694.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 1:20 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.9 - -8.1. What is the closest to m in -2, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(36\/40)*-12. Suppose -4*b + 7*b - 183 = 0. Let j = f + b. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -44*l + 44*l + 44*l**2. Suppose 3*d - 5*x = 31047, 2*x + 2*x = -12. Let i(n) = 2*n**2 - d + 10344. Calculate i(t(b)).\nAnswer: 3872*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5\/5 + 4*w**4 + 66*w**3\/5 + 16*w**2 + 32*w\/5 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 147*u**2 + 27*u. Let t(s) = 21*s**2 + 4*s. Suppose -34*f + 9*f - 783 = 4*f. What is f*t(p) + 4*r(p)?\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d2 + -136?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 6*l + 17. What is the tens digit of p(16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qzzqqzqqqqqzqqqz.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -131662, -127998, -124336, -120676, -117018, -113362?\n\"Answer: -a**2 + 3667*a - 135328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3250*c**4 + 9*c + 25?\nAnswer: 39000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 11*r - 8. What is a(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 2, -0.08, -5, -1\/5, 11 in decreasing order.\nAnswer: 11, 2, -0.08, -1\/5, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1*(1 + sqrt(539)))**2 + (0 + sqrt(704) - sqrt(704) - sqrt(11)) + sqrt(33)\/sqrt(3)*3).\nAnswer: 48*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/3*(-9)\/6*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - -81 - (-4 - 1 - -1) - (6 + 7)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m - 13. Let g(v) = -7*v - 12. Let p(c) = -5*g(c) + 4*t(c). Let i(d) = d + 3. Let j(h) = -8*i(h) + 3*p(h). Let o(w) = 4*w**2. Calculate o(j(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1859 and 297271?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.2, 6\/43, 274, -9, 0.4 in ascending order.\nAnswer: -9, 6\/43, 0.4, 4.2, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**2 + 557*j - 276*j - 281*j + 0*j**2 + 3*j**2.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 7*n**2 - 12*n + 12. Calculate c(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 206.8663ml to litres.\nAnswer: 0.2068663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.2. Suppose 1 = -y - 3*f, 4*f = 6*y - y + 5. Which is the nearest to y? (a) n (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = -10*n + 14*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481.0925 millimeters to centimeters.\nAnswer: 48.10925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v - 8*v = -40*v. Sort 4, 6, v in ascending order.\nAnswer: v, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -439 + 244. Is b less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 20 = 25*w - 20*w, 0 = 3*w + 4*t - 11. Suppose -45 = -w*g - 0*v - 4*v, 15 = -g + 4*v. What is the highest common factor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*s + 26992 = 1200 for s.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p - 102 = 1292. Suppose -4*b + 0 + 4 = -4*n, 0 = 5*n + 5*b - 25. Solve 10*m**3 + 48*m**4 - p*m**2 - 15*m**n + 12*m - 14 - 28*m**5 + 6*m**3 + 22 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*c - 470 = -f, 0 = 5*f - 2*c - 585. Calculate the common denominator of 85\/(-96)*(-161)\/f and 83\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b + 3. Let d be w(10). Let m(z) = z**3 + 7*z**2 - 5*z + 7. List the prime factors of m(d).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58005 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -49*l + 6*l - 18 + 25*l - 24*l**2. Let z be 3 + (-1 - (-9)\/3). Let i(w) = 7*w**2 + 5*w + 5. Give z*b(n) + 18*i(n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 - 155?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 8077.4 to the nearest 100.\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -931*m + 1054. What is z(1)?\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3570 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2449507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 16, 9 in decreasing order.\nAnswer: 16, 9, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110008245 to the power of 1\/2, to the nearest integer?\nAnswer: 33317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -54, -106, -192, -324, -514, -774, -1116?\nAnswer: -1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279\/((10\/35)\/((-396)\/4158))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:41 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15419 and 2745489?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5070000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 23 - 2*h - 45 + 22. Let y(m) = 8*m. Determine y(w(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19581.7 or -128\/5?\nAnswer: -19581.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + b)*(-2 + 2 - 1) + 23*b - 13*b + 10*b - 3*b + 2*b - 3 - b as h*b + g and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + -1086506?\nAnswer: -1086495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:49 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.011 - -4. Let g = -30.011 - f. Let l = g - -29.7. Which is the closest to l? (a) -3 (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17653 and 1807?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7*154\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -5. Let d be (2 - 1) + s + 7. Suppose 3*j - d = 4. Solve -5*n = 5*k + 20, -2*k - n - j = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-408)\/(-68)*1\/15\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express x - x - 2*x**3 + (-x + 2*x**2 + x)*(x + 2*x - 4*x) - x**3 + x**3 - 2*x**3 + 0*x**3 + 2*x**3 - 4*x**3 as d*x**3 + b*x**2 + i*x + z and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2 + 0*a**2 + a**2 - 2*a**2 + 6*a. Let x be q(4). What is the remainder when x*1 - (1 + 1) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 12:10 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1938 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1542*a*d**2*o + 3*a*d*o - 3*a*o + 62*a - 63*d**2 + 14*d*o + 1 wrt d.\nAnswer: -3084*a*o - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 176\/198 - 8\/36\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*f**2 + 11*f**2 - 78*f**2 in the form w*f + q + y*f**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**4\/6 - b**3\/3 - 7*b**2\/6 + b\/3.\nAnswer: b*(b - 1)*(b + 1)*(7*b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*y**5 + 35*y**4 - 5694*y**3 - 8220*y**2 - 425*y.\nAnswer: -360*y**2 + 840*y - 34164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9556919.5 to the nearest 10000.\nAnswer: -9560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -185 - 3ab?\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13011, -26112, -39217, -52326, -65439, -78556?\nAnswer: -91677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 174343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 - 0.2. Let p = -295 + 290. What is the closest to 0 in -3, i, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 2*i)*(0*i - 2*i + i) + i**2 + 3*i**2 - 5*i**2 - 1 + 2*i**2 + 1 + 13 - 21*i**2 - 13.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r**2 + 119. Let a(l) = 5*l**2 + 59. Calculate 10*a(m) - 6*x(m).\nAnswer: 2*m**2 - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goc when three letters picked without replacement from {m: 3, g: 2, o: 1, c: 6, j: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 16 + 5*n**3 - 4*n**3 - 13*n - 5004*n**2 + 4994*n**2 + 4. Give v(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1544366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6134915 a multiple of 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 34*f + 141. Determine h(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7374670.\nAnswer: 2, 5, 41, 17987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 277655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/21 + (-18549)\/(-63). Let k = -204 + l. Suppose 4*x = 7*x - k. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = i + 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-9))\/7*(-105)\/525?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 1. Let i be l(1). Suppose 3*o - 5 - 10 = i. Put o, 0, 0.3 in decreasing order.\nAnswer: o, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -658, -1492, -2660, -4162, -5998?\nAnswer: -8168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 2*a - 3. Let q be w(-3). Suppose j - 2 = -q. Let t(x) = 2*x**2 + x**j - 4*x**2. Let m(g) = 2*g. Give t(m(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19614 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 9, -1.2, -101.9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23670*f**2 + 432*f - 2611. Is c(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -17 - -6) + -81 - (-17 - 2).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/172868?\nAnswer: -1\/172868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(sqrt(76) - -3*sqrt(76)*-2))\/((sqrt(324) - sqrt(324)*-1)*5 + 5*2*sqrt(324)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8435 - -8911. Calculate the greatest common factor of u and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32\/123 + 38\/41. What is the second smallest value in 5, 0.2, 0.027, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310484 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 v when four letters picked without replacement from vvtvvvtvvtvvvvv.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147998.\nAnswer: 2, 73999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 63, 187, 371, 621, 943?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24 + (2 - 3 - 5)\/(-1). Let v be ((-70)\/(-15))\/(b\/585). What is the greatest common divisor of 65 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35066 times 1532\nAnswer: 53721112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 98\/279949 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92878 is divided by 29381?\nAnswer: 4735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35441*c**6 - 143*c**2 + 71 wrt c?\nAnswer: -4252920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 110 - 75. Let j = b - -18. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.6 to zero decimal places.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 13. Let h(f) = o*f - 2*f - 4*f + 2*f. Let k(x) = x**3 - 6*x. Calculate -6*h(i) + 2*k(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6063 + 17347. Suppose -7454 = 4*d - v. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9583279 by 409.\nAnswer: -23431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*u - 5*u. Let q be u + 3 - 2\/9. Which is the nearest to 0? (a) -1 (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.026\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*y + 385 = 58 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 49, 1\/210, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*-0.083117\nAnswer: 0.2327276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41181360 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -32*w**2 - 12*w + 6. Let v(j) = 129*j**2 + 52*j - 26. Let s(u) = -13*o(u) - 3*v(u). Let d(k) = 42*k**2. What is d(s(i))?\nAnswer: 35322*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-20 - (-7 - 8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(162) + 0)**2 - (-1 + sqrt(162) + sqrt(162) + -3 + sqrt(162))) + 0.\nAnswer: 9*sqrt(2) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, a: 8, m: 5, p: 2}. What is prob of sequence ap?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 420921088 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 16*m + 6. Let k be n(4). Suppose 0 = -3*c + 5*c - k. Suppose 3*j = 19 + c. Calculate the remainder when 69 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387012 (base 10) in base 11?\nAnswer: 8680a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 != 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 96.0543ng?\nAnswer: 0.0960543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**2 - 7449*w + 2453916 = 0.\nAnswer: 391, 2092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/(q*q\/q**(-9)*q*q*q)))\/q)\/q*((q**13\/q)\/q)\/q*q)\/(q**4)**(1\/7) assuming q is positive.\nAnswer: q**(164\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (((-78)\/5)\/6)\/(45\/(-125)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5760*v + 221. Is o(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 14*w**2 + 18*w + 14. Let d be m(13). Suppose d = 2*p - 173. What is the remainder when p is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 313 and 91709.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/12*(-7 - -1). Let b be (4\/(-6))\/(i\/45). Solve t = -t - b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -8. Suppose 38 = -5*r + h, 3*r = 5*r + 4*h + 24. Let g = c - r. Sort -0.1, -5, g in decreasing order.\nAnswer: g, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 40 = 26*v. What is the third derivative of -2*d**2 + 18*d**2 + 7*d**2 - v*d**3 - 6*d**2 wrt d?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.9 and -0.02909.\nAnswer: 0.171631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4 + 3*d - 4 - 5 - 20*d. Let c(g) = -8*g - 6. Let h = -34 + 28. Let a be (-119)\/(-9) + (-2)\/9. What is a*c(r) + h*n(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7332756*c**4 - 290804*c**2 + 2*c?\nAnswer: 175986144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 12*f**2 - 20*f - 14. Let v be y(-10). What is the remainder when ((-8)\/(-6))\/((-4)\/(-42)) is divided by -5 + 495\/77 + (-8)\/v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(84\/(-70) - -1). Let r(y) = 4*y**2 + 4*y + 4. Let x(b) = -8*b**2 - 7*b - 7. What is h*r(o) - 3*x(o)?\nAnswer: 4*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1214*u - 6067. Let q be c(5). Let k(r) = 3*r**2 + 13*r - 57. Determine k(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 5:15 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/20*9*1. Let v be (-2)\/18 - (-2)\/18. Factor -63\/4*t**3 - 12*t**2 + v - 3*t - d*t**4.\nAnswer: -3*t*(t + 1)*(3*t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -3*m + 2*l, -7*m - 2*l = -4*m - 138. Suppose 0 = -5*w - 5*u + 260, 2*u + 52 = 2*w - m. Calculate the greatest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 5*z**2 - 2*z + 2. Calculate the least common multiple of 15 and c(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2883 divide 69483183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 8*v + 9*v)*(0*v**4 + 3*v**4 - v**4) - v**5 + 2*v**5 + v**5.\nAnswer: 26*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 172*-0.13084\nAnswer: -22.50448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 432491427 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 46 - (-13 + 7 + -3 - (-10 + -8))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66788653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25\/2*h - 6 - h**2 = 0. Calculate h.\nAnswer: -12, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = -7 + 64. Let w(g) be the second derivative of 7*g + 0*g**2 - 1\/6*g**p + 1\/12*g**4 + 0. Factor w(v).\nAnswer: v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 >= 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:25 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = f + j, -3*f + 5*j - 4 + 27 = 0. Let y = 17 - f. Let d = 7 + y. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 5 - 5)*(67 - 38 - 50) to the form p*v + u and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5435*f - 255421. What is m(47)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.36 - 0.4?\nAnswer: -62.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3*(-1 - -2). Let b be ((-1)\/3)\/(4\/12). Put 0.3, b, o in increasing order.\nAnswer: b, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -28*f + 9. Let c = 33 + 69. Let y be (-1)\/(-2) + c\/(-12). Is g(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 6. Let l be r(6). Put l, 1, -4 in descending order.\nAnswer: 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -3*z. Solve -3*u = 3, u + 0*u = -z*w - 11 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + 0.09. Let i = -2.94 - a. Let o = 3.00005 + i. Round o to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46229 (base 10) to base 5\nAnswer: 2434404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2450 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 4)\/(-2)*91\/52*(-636)\/42.\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559338740?\nAnswer: 2, 5, 27966937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8946 is divided by 157?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-2)\/(-20)*60\/(-144)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(4\/3))\/s*s*s**12*s)**(-15) assuming s is positive.\nAnswer: s**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -60, -71, -88, -111?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1622*v + 1625*v - 5 + 4*v**2 - 7*v**2 - v**3. Let m(q) = 4*q**2 - 2*q - 4. Let a be m(0). Determine x(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and 241.\nAnswer: 433.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 6. Give v(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 12656 = -2456. Does 45 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43543774 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 17*o**2 - 16*o + 40. What is the units digit of m(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*r - 15 - 182*r + 97.\nAnswer: 2*r + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20)\/15*(-1 + -53) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23493738 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10272, 20905, 31538, 42171, 52804, 63437?\nAnswer: 74070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*f - 32. Let z be 0 - f\/(20\/(-5)). Solve -z*t - 5 = 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/65 - 31227\/(-30). Let k = -910 + 1996. Let w = k - v. What is the common denominator of -143\/12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -299 (base 10) in base 8?\nAnswer: -453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 868 and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 885 and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(-10*(7260\/(-6000))\/(-121))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3684268884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 539*t - 1151*t + 91.\nAnswer: -1690*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - sqrt(330)\/(-1*sqrt(6)))\/(sqrt(44)\/(sqrt(4)*-2 - sqrt(4))) - (sqrt(15)\/(-5*1*sqrt(3)) + 1).\nAnswer: -29*sqrt(5)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3)*7)\/((-16)\/(544\/17)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -36, 16.26 in decreasing order.\nAnswer: 16.26, -0.6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 + 268. Let i = l + -155.0063. What is i rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219174811013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -39*b**3 + b**2 - 1. Calculate j(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 7 = -5*h, 81*r - 84*r = -5*h - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -85?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*-2*1. Let b be 1 + g + (-8)\/(-44). Let h = 3 + -2. What is the second biggest value in h, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3948326 equal to 3948325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + 0*m)*(-2*m + 7 - 7)*(0 - 103 - 417)*(-3 + 0 + 1).\nAnswer: 6240*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-93)\/31*3626\/444\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1688094 divided by 6.\nAnswer: 281349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220041 (base 5) in base 3?\nAnswer: -12010220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1186887?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/21 + 3*-1. What is the biggest value in 3, q, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 715678 and 715677 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1460 and 517570?\nAnswer: 1035140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -739+650\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -199444874\nAnswer: 59833462.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54 (base 13) to base 5.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -355154 - -1?\nAnswer: -355153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**4\/6 - 475*s. Let r(o) = 9*o. Let b(n) = -28*n. Let k(d) = 2*b(d) + 7*r(d). Calculate k(j(m)).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + -3. Let g be i + (-3 - 18\/(-3)). Is 5 a factor of ((-27)\/g)\/(33\/88)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2. Let g(v) be the second derivative of 0*v**3 - 3*v + 1\/3*v**4 + 0*v**2 + 0. Calculate f(g(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 44*p - 51 = 0. Let v(y) = 3*y**3 + 15*y**2 + 8*y + 8. Let s(o) = -o**3 - 5*o**2 - 3*o - 3. Calculate p*v(a) + 8*s(a).\nAnswer: a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 230621 or 230618?\nAnswer: 230621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(10)\/sqrt(2)))\/sqrt(5).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110.1549 + -108.654838. Let x = 0.202 + 1.298. Let z = x - d. What is z rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*v**2 - 13*v**4 + 23*v**2)*(0*v + 3 - 2*v - 9).\nAnswer: 26*v**5 + 78*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3230 + 303757.\nAnswer: 300527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1004892 by 147.\nAnswer: -6836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 182167, 182150, 182121, 182080, 182027, 181962?\n\"Answer: -6*g**2 + g + 182172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 125*a**4\/12 + 5*a**3\/3 + a**2\/2 - 112*a. Is h(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 4:39 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 760993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 540*m**2 - 10611*m - 276. Calculate k(19).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/237 and (1\/(-12))\/(32\/(-160)) + -3?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 269207611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 at least -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 - 1\/3*k**2 - 1\/3*k.\nAnswer: -(k - 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2 + 47*b + 24. What is c(-23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 106*f**4 + 3*f**3 + 75*f**2 + 3. Let d(l) = 107*l**4 + 2*l**3 + 75*l**2 + 2. Let u(v) = -2*c(v) + 3*d(v). Find the third derivative of u(t) wrt t.\nAnswer: 2616*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o + 3. Let i be r(-6). Let b = i + -17. What are the prime factors of (b - 13) + 1*17?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5 + 5*(sqrt(363) - sqrt(363)*-2*2)*-1*6)**2.\nAnswer: 23100*sqrt(3) + 8167549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 at least 499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1843, -2645, -2351, -961?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -812.0596962+-5\nAnswer: -817.0596962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2*t = -116, 0 = -2*g + 5*t + 26 + 32. Suppose 0 = p - 8 - g. What is the smallest common multiple of p and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*s - 24 = 0, -4*d - 12*s + 30 = -7*s. Let i(r) = -r**3 - r**2 - 2*r - 47. What is i(d)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 + 141 + -95 - 81.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33208095*c*n**2*y**3 - 8*c*n**2 + 2*c*y**2 - 38*c*y - 2*c - 2*y**3 + 35*y**2 - 3*y wrt n.\nAnswer: -66416190*c*n*y**3 - 16*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k. Suppose q + 3*q - 8 = -3*a, -3*a + 13 = -q. Let r be z(q). Is 4 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 3:34 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + (sqrt(275) - (3 + sqrt(275)*1)) + sqrt(275))**2*-2 + (sqrt(11) - (5 + -3*sqrt(11))**2 - (sqrt(55) + sqrt(330)\/sqrt(6))\/sqrt(5)).\nAnswer: -2342 + 149*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -714*w**4 + 4*w**3 + 722*w**4 - 3*w**3 + 2*w in the form d*w**2 + j*w**3 + p + a*w**4 + s*w and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 5 (c) -2.9 (d) 2 (e) 0.5 (f) -3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1814.6 + -1815. Let r = 9 - 14. What is the third biggest value in n, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 at most -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -188374.769 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6787149 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 24675\nAnswer: 24674.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a minute in seconds?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 5, j: 8}. Give prob of sequence mm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82762 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/7350255 and -33\/1580?\nAnswer: 2322680580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 7*o**3 - 15)*(3 - 3 + o) + 55*o + 10*o**4 - 55*o + 4*o**2 - o**4 - 4*o**2.\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1\/2 (b) 509 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1918798 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 5, -9, 189962 in decreasing order.\nAnswer: 189962, 5, -2\/11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -69998.9 + -0.003852818\nAnswer: -69998.903852818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7142*g - 23. Let k be r(3). Let h = k + -14010. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9*y + 3. Let h be x(-3). Let z(o) = 16*o - 88*o - 11*o + 59*o + 55. Is z(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, -66.\nAnswer: -66, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297814785?\nAnswer: 3, 5, 3761, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/207948 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 5729.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 503337.\nAnswer: 503344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 3. Let q(o) = o**2 - o - 2. Let j be q(3). Let i be w(j). Solve 1 + i = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 1271*n**4\/4 + 19*n**3\/3 - 129*n**2\/2 + 1842. Find the third derivative of y(j) wrt j.\nAnswer: 7626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (2 + -1 - 1). Suppose -n + 11 + x = 0. Let k = 34 - n. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 12671*j - 114060. What is o(9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 53 = -t - 5*q, 3*t + 3*q = 51. Solve -c = c - 4*k + t, -2*k + 10 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 + 11. Let t(c) = -c**2 - 4. Give 2*g(m) + 7*t(m).\nAnswer: m**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.653 + -0.347. What is the closest to 1 in o, 0.2, -4, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12146562 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 10*u**2 - 17*u - 7. Let z be j(-8). Let p(w) = -12*w + 9*w + z - 4*w + w**2. Suppose -5*h + 4*h = -6. Calculate p(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113266567819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 12*d**2 + 73*d - 662. What is h(14)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 401 and 103057?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 371*u**2 + 49*u + 751. List the prime factors of s(-13).\nAnswer: 23, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**5 + 6*k**4 + 3*k**3 - 6*k**2 = 0. What is k?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1377) + 4)**2*6 - (2*(sqrt(1377) - -3*sqrt(1377)*3))**2.\nAnswer: -476346 + 1296*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11300926 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -3*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.42 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 6*x**2 - x - 5. Let j be t(-6). Let z be 212\/(-8) + j\/(-3). Let h = z - -55\/2. Which is the third biggest value? (a) h (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) 5 (c) -1\/4 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.6 (c) -4 (d) -0.1422 (e) -0.19 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 plus -10411?\nAnswer: -10407.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 20 = 6*p - 5*a, -2*a + 5 = p. What is the units digit of 30 + -10 - 3*p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -32*g + 7. Let s be v(6). Let t be (s\/3)\/((-1)\/240). Round t to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 87100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 2*o**2 + 0 - 2\/3*o**4 - 7*o + 7\/3*o**3. Factor z(l).\nAnswer: -2*(l - 2)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 minutes after 6:23 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -127 - 94 - 34*q + 322 - 16*q. Is y(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2712.24 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-42)\/12)*(-20)\/345.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w = 8*a - 3*a + 110, 2*w - 6*a + 4*a = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 0 - 50 = w - 4*z, -2*w + 24*z - 548 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, v: 5}. What is prob of sequence hhv?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -420 + -2661?\nAnswer: -3411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -29*m - 2. Let o(i) = 204*i + 15. Let f = 11809 - 11854. Calculate f*t(x) - 6*o(x).\nAnswer: 81*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7090997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373575 is divided by 74686?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-2) - (-26)\/13.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - (-12 - (-12 - -6) - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -0.048 (c) -2.34 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31803613 and 3077769.\nAnswer: 95410839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2 - 7 - 6 - 3*n. Let q be s(-10). Let x = q + 4. What is the remainder when 37 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96824 by -1064.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -61ab8b3?\nAnswer: -61ab8b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(870\/(-20)))\/((-2)\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - sqrt(90)*1)\/sqrt(5) - sqrt(18) - sqrt(18))\/(sqrt(9) - (sqrt(36)*4 - sqrt(36))\/sqrt(4)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/88)\/(72\/18)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854637 at least 854637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3. Let l be 2\/5 - 9\/(-15). Suppose -5*w - 3 = 2*h + l, 5*h - 5*w - 25 = d. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/704 and -29\/960.\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 51. Let u be -21*h\/16 - 2\/8. Suppose u*y - 1660 = -550. List the prime factors of y.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c**2 + 3*c**2 + c**2 + (-140*c - 120*c + 180*c)*(-c - c + 0*c).\nAnswer: 158*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djdrrdjdqdjd. What is prob of sequence dd?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12\/4*(-1)\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -313\/12, 22, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 1765*b**7\/7 - 226*b**3 - 5*b**2\/2 - 3758. Find the third derivative of h(n) wrt n.\nAnswer: 211800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-1 + 4 - 4)*(-2 - 7*q - 1 + 32*q).\nAnswer: 25*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 + 24*m - 18. Let p be g(11). Which is the smallest value? (a) p (b) -13 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(10\/7)*f\/(f**(-1\/30)\/f))**(1\/20) assuming f is positive.\nAnswer: f**(337\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10 - 3684*v**2 - v + 1622*v**2 + 2053*v**2. Let s(q) = 0*q**2 - 1 + q**2 + 0. Give -2*i(u) - 22*s(u).\nAnswer: -4*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 31*a + 36*a = 35 + 51, 76 = -26*n - 0*a - 2*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/sqrt(300))\/(sqrt(11) - sqrt(396)*3) - (sqrt(15)\/(sqrt(9)\/(sqrt(3) + sqrt(12)\/sqrt(4))) + (sqrt(5) - sqrt(20))**2*4*-4).\nAnswer: -171*sqrt(5)\/85 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.44 (b) 0 (c) 1451 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3068, -2803, -2540, -2279?\nAnswer: -2020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 12 = m, t - 19*m + 17*m - 22 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 114 + -3106501?\nAnswer: -3106387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 292 + -271 + 0 + -6 + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6\/63 + (-7733790)\/(-945)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52047.53 + -46.5.\nAnswer: 52001.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from floosflfsfrolsffffss. Give prob of sequence lrf.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -248*m + 115. What are the prime factors of u(-2)?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 11:27 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -g + 3*g. Suppose 4*b + g*f = -11, 3*b - 2*f + 0 = 9. Let y = 81\/2 + -42. Put -5, b, y in descending order.\nAnswer: b, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -u + 28, 0 = -13*u + 291065 - 290961 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-10)\/16) - (0 - 1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20630 rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 4*m - 1. Let l be g(3). Suppose -3*w = -2 + 41. Let a = w - -58. Solve l = -p + 2*q, -q - a = 5*p - 6*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 226085950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(76) - sqrt(76)) + -5 + (sqrt(114)\/(sqrt(6)*2) + sqrt(19))*6)*3)**2.\nAnswer: -450*sqrt(19) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1270 = -t + 1297. Let d be 4\/(-9)*(972\/(-24))\/t. Sort d, -1\/5, 3, -2\/15 in increasing order.\nAnswer: -1\/5, -2\/15, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51810875 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 10*h**2 + 6. Let q(u) = -u**2 + 5. Let d be q(0). Is b(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92033?\nAnswer: 92033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1834 + 2185 = 16*k + 11*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*i + 96. Let n be ((-5)\/(5\/(-3)))\/((-12)\/i). Is (n + -6)*1418\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0348 + -59.1652. Let q = m + 57. Let t = -2.19922 - q. What is t rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 9:57 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2382.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1535797 and 1891?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*b + 57. Suppose 2*o + 3*o - 20 = 0. Let x be 1\/(2 - 7\/o). What is the greatest common factor of x and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + h + 2)*(-30*h - 23*h - 32*h).\nAnswer: -85*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1182 rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -33. Let s be z*(3 - 8\/3). Suppose -24 + s = -4*f. What is the smallest common multiple of f and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*r**6 - 30*r**4 + 1541*r**3 - 780*r**2 - 30*r - 15?\nAnswer: 3480*r**3 - 720*r + 9246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232 and 57935272?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/10*795\/4. Let i = f - 39137\/120. Let a = i + -2159\/60. What is the common denominator of a and -41\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13184 + -13178. Let o(y) = 4*y - 16. Calculate o(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.5. Let f = -3 + 3. Let y = -2 - -2.5. Which is the nearest to 1\/2? (a) r (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 552 + -195. Let q be (56\/(-6))\/((-34)\/m). Calculate the greatest common divisor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407, 506, 605, 704, 803?\nAnswer: 902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 12 = 2*z + 2*z, 2*z + 12 = 5*m. What is the third derivative of m + 19*f**6 + 46*f**2 - 2 - 116*f**2 wrt f?\nAnswer: 2280*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhwwqrqqq. Give prob of picking 1 r, 1 h, and 1 w.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znn when three letters picked without replacement from {n: 2, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*x - 7, 8*b - 3*b - 35 = x. Suppose 4*n - 1 = b. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 31, -4506 in decreasing order.\nAnswer: 31, 1, -4506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**1*i)**6\/(i\/(i*i**(-1)))**(-20))\/((i*i\/(i\/i**(-1\/2)))**(-2\/23))**(2\/9) assuming i is positive.\nAnswer: i**(7868\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-5))\/(96\/120)*4. Is 48 a factor of (3 - (g - 67))\/((-8)\/(-96))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14 - 7*(-54)\/(-42). Which is the fourth biggest value? (a) -2\/17 (b) 2 (c) 0 (d) g (e) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 - 9*f**2 - 8*f. Let s(n) = -n**3 + 3*n**2 + 3*n. Let y(c) = -4*i(c) - 11*s(c). Does 9 divide y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -27\/4, 0, -4, 0.01, 0.3 in descending order.\nAnswer: 0.3, 0.01, 0, -1, -4, -27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -68 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/182 and -149\/179592.\nAnswer: 2334696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 241456*y**2 + 965800*y - 965792.\nAnswer: 2*(y - 120724)*(y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 852 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 39*h**2 + 11*h + 26. Is y(-33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13692, 3\/5, -33, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26898 - 61302 = 4952*p - 3793*p + 7661*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*g, g - 65728 + 199948 = -2*k. Let d = k + 139211. What is d rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 11\/4, 0.3?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-2)\/6)\/(13\/39).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-1))\/j)**43*j\/(j\/j**0)*j\/(j\/j**7))\/((j**0\/j)**(1\/15))**(-7\/2) assuming j is positive.\nAnswer: j**(1493\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*j - 103*j - 146 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 882 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(3*(-1)\/(-3)*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40, 114, 310, 688, 1308, 2230?\n\"Answer: 10*y**3 + y**2 + y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 + 14 = 7*q. Calculate the remainder when 220 is divided by (-8)\/14 + q\/((-805)\/(-510)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 17 (b) 1 (c) 1.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34871.35 millimeters in kilometers?\nAnswer: 0.03487135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 10*m**3 - 8*m**3 + 4*m**3 - 8*m**3 - 28*m**3.\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -57. Let d(a) = 53*a - v - 27*a - 24*a. What is the remainder when d(15) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.42 + 35.42. What is the closest to 1 in 0.002, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 5*c + 7. Let z be o(5). Solve -7*t - 12*t**2 + 6*t - z*t = 0 for t.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4264 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -12930002*v + 16374. Let p(b) = -5528*b + 7. Determine -7*j(f) + 16374*p(f).\nAnswer: -5458*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 686380 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*f**4*w - 2*f**4 - 2948*f**3*w - 5869091*f**2*w wrt f?\nAnswer: 336*f*w - 48*f - 17688*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 27*h**3 - h - 1. Let d be k(3). Suppose 0 = 78*i - 30*i - 1392. Calculate the highest common divisor of i and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23654452, -23654444, -23654436, -23654428, -23654420?\n\"Answer: 8*o - 23654460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0768 + -0.0768. Let d = -15 - -9. Which is bigger: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 3:46 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9745*l - 9745*l - 30*l**2. Let d(b) be the second derivative of -b**4\/3 + 2*b. Give t(d(f)).\nAnswer: -480*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 11 - (5 + -5 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/624575 and -9\/101675?\nAnswer: 4372025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*19\/57. Sort 2, -0.09, 2\/7, x in increasing order.\nAnswer: x, -0.09, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-2 + -1) - (1 + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((2 - 0) + -1)*10\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*y = 41*y + 7376. Suppose n + 483 = y. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 14*g**2 + 4*g + 22*g**2.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4))**(-21\/4)\/((c\/(c*c\/c**(2\/23)))\/c**(-2\/5)) assuming c is positive.\nAnswer: c**(-1471\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -14*q. Let w(t) = -3*t - 65. Let m(a) = a + 22. Let k(p) = -11*m(p) - 4*w(p). Give k(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 61422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*l**3*z - 1247*l**3 - 508*l**2*z - 1545*l*z wrt l.\nAnswer: 372*z - 7482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 180\/9*(-6)\/(-8). Solve -m + x = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-35487)\/(-8 + 17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/10)\/(2\/(-10)). Let g be 1\/(-3)*(-7 + 1). List the prime factors of -6*g\/(1*u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -678*l**3 - 3*l**2 - 426 wrt l.\nAnswer: -4068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**6\/720 + t**5\/30 + t**4\/12 + t. Let g(d) be the third derivative of c(d). List the prime factors of g(8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -2*u**3 + 2. Let l(p) = -11*p. Determine d(l(x)).\nAnswer: -726*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859 is divided by 46.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d**3 - 13*d**2 + 7*d - 10. Is 25 a factor of c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.03145 - 1124.02345. Let r = y + 1128. Let v = -7 + r. Round v to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 37. Suppose 0 = -6*s + y*s - 5*j + 68295, -s - 17077 = 2*j. Is ((s\/(-10))\/5)\/((-2)\/(-20)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 27 = x. Which is bigger: 10 or x?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233cd (base 15) to base 2\nAnswer: 11011011001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 120\/21 - 6 - (-5)\/(-7). Put -3, 1, 28, t in increasing order.\nAnswer: -3, t, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3812036 is divided by 2284?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04427 - -8775.5.\nAnswer: 8775.54427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 381*w**5 + 2776*w wrt w.\nAnswer: 7620*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 + (5 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114214052 (base 6) to base 11.\nAnswer: 1248870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**3 - 48*d**2 - 22. Let j(k) = k**3 + 24*k**2 + 12. Calculate 11*j(s) + 6*z(s).\nAnswer: -s**3 - 24*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4339*z + 0 + 5 - 1543*z - 3.\nAnswer: 2796*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -230 + 235. Solve -u + 2*u = -a, w*a + 8 = -3*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -15*g + 13*g - 709910, -g - 4969344 = -14*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 28 = 15*s. What is the common denominator of s - 0 - (-308)\/126 and 11\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*o - 15 = 1, -3*w = -o - 14. Let t = -1 + w. Suppose 4*x - 3 = -t*l + 7*l, -4*x - 21 = 3*l. Are l and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167742910187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -386 - 142. Let v = -1499.018 + 1498.918. Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*d + 8*d. Suppose d*q + 3999 = 4*q. Suppose 2*j - q + 1199 = 0. What is j rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 + -116. What are the prime factors of (-2)\/v - (-6945)\/50?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + (-3)\/(-6)*-2. Suppose -4*g - 2 = -3*g + x, 5*g = -j*x - 4. Let -w - 1\/2*w**2 + g = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 258 - 82. Let h = -49 - n. Suppose -693 = -6*y - 21*y - 20*y + 388. What is the remainder when h is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/910 and 23\/546.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1215 and 189?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(47\/(-705)*315\/42).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23443293 by -36573.\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0 - 8 = 0. Suppose d*l + 166 = 6*l + 2*c, -4*c + 74 = 2*l. Differentiate l*b - 43*b + 6 - 4*b**2 - 5*b**2 with respect to b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595998.246 rounded to the nearest one thousand?\nAnswer: 596000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**(-2\/17)*r*r**21\/r assuming r is positive.\nAnswer: r**(389\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16, 42, 78, 130, 204, 306?\n\"Answer: i**3 - i**2 + 22*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 17*g + 13)*(3 - 3*g - 3) + (0*g - 2*g + 4*g)*(-2 + 2*g + 2) - 1 + 1 - 2*g**2 + (0*g + 3*g - 2*g)*(-4*g - g + 3*g).\nAnswer: -51*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 187*f**4 - f**3 + 21*f - 564. What is the third derivative of n(b) wrt b?\nAnswer: 4488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322\/2 - (-7)\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - 1*(1 + 0). Suppose -13 = -5*t + l. Suppose -3*v = t*v - 483. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 0. Suppose -4*v = 2*c - 32, 146 = t*c - 4*v + 34. Calculate the highest common divisor of 60 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 77*g**4\/4 + 413*g**3\/3 - 289. Find the third derivative of h(k) wrt k.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 9 = 0, -24*u + 5*u = 10*u - 5*u + 5*d - 399 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5611, -5609, -5605, -5599, -5591, -5581?\nAnswer: -5569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 25*v - 7. Let n(u) = -69*u + 26. Let s(i) = -8*f(i) - 3*n(i). Determine s(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5800 is divided by 157.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o - 11*o = 0. Put -3, -5, -1, o in decreasing order.\nAnswer: o, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (0 - 0)\/(-3). Suppose -r + x + 1 = 0. Suppose 3*y - 3 = -0*y, -r*p - y + 7 = 0. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20872 + -20336. What is the greatest common factor of 6298 and z?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 10110*n**2 - 50625*n.\nAnswer: 3*n*(n - 3375)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 54403593011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 39\/12 - (-2)\/(-8). Let v(t) = t. Let z = -16 + 16. Let p be v(z). Sort u, -4, p.\nAnswer: -4, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*i + 28, 3*i - 106 = -5*u + 11. Suppose 0 = 2*g - u - 8. Calculate the lowest common multiple of g and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 12680.45076.\nAnswer: -12680.85076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*i, -v + i - 2 = -2*v. What is the first derivative of -25 + 8 + v*p**3 - 9 wrt p?\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2725585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 457842, 915737, 1373632, 1831527?\n\"Answer: 457895*j - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 4*b + 31, -2*p - 3 = 4*b + 3. Differentiate -35 + p - 51*n - 121 - 39*n wrt n.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-7))\/g*g)\/g*(g*g\/((g**1*g)\/g)*g)\/g)\/(g\/(g\/(g*g**(-1\/2))))**(-4\/27) assuming g is positive.\nAnswer: g**(218\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1398101\/17 greater than or equal to -82241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21109368 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: List the prime factors of (-5)\/(15\/18) + 109.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15604769 or 15604764?\nAnswer: 15604769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4.59 times -351415\nAnswer: -1612994.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -1117.\nAnswer: -1116.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-217)\/21 - (-4)\/(-6)) + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5*h**3 - h**2. Let d(l) = -57*l**3 + l**2 + 56*l**3 - l**2. Give -c(t) + 4*d(t).\nAnswer: t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 4:40 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from vgvccppvsvvpqqpvgpg.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6)*(-1410)\/20. Let o = p - -99. Solve -o*h + 13 = -7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 2032?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 716, 1360, 2194, 3218?\nAnswer: 4432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1420 (base 5) to base 6\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/2? (a) -0.2 (b) -280\/9 (c) -1643 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11671 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 2*d**2 - 4*d + 2. Let o be m(2). Let t = 32 - o. What is the greatest common divisor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let f(m) = 45*m + 13*m**2 - 45*m. Determine a(f(p)).\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 5*r - 40 + 60.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 8*r - 6. Let p be (12\/10)\/(2\/(-10)). List the prime factors of o(p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**4\/2 - 2383*k**3\/2 - 3186*k**2 - 1594*k = 0.\nAnswer: -2, -2\/3, 0, 797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -84. Let a(z) = -z**3 + 17*z**2 - 21*z - 12. What is the units digit of a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - m = 2*m + 29, 0 = 5*o - 5*m - 35. Find the common denominator of (-2)\/(-6)*(-164)\/o and -21\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*z**4 + 2\/3*z**3 - 2\/9*z**2 + 2\/9*z**5 + 0 + 0*z.\nAnswer: 2*z**2*(z - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -947, -4, 3, -59, 0, 4 in decreasing order.\nAnswer: 4, 3, 0, -4, -59, -947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*w + 2 = 0, -10 = 5*w - 0. Solve 0 - d = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f + 1. Let s = 1 - 0. Let w(m) = 3*m - 5. Let y(p) = s*w(p) + 5*z(p). Let o(j) = -j**2. Give o(y(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 744*d**2*t**3*v**2 + 7*d**2*t*v**2 - d**2*t*v - 2*d**2*v - 39*d**2 + 2*d*t**3*v - 7*t**2 wrt v.\nAnswer: 1488*d**2*t**3 + 14*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -12, 297, 2 in descending order.\nAnswer: 297, 5, 4, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16185\/(-210) + 71\/994.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51884, 1\/6, 5, -12, -5 in decreasing order.\nAnswer: 5, 1\/6, -5, -12, -51884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 11, r: 6, i: 2}. What is prob of picking 2 r and 2 i?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.11 (b) 23 (c) -5.85 (d) 1\/2 (e) -3 (f) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 = -9*f - 1399. Let m = -83 - f. Calculate the remainder when 114 is divided by m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6161 or -13.9?\nAnswer: -13.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*v**4 - 73680*c**3*v + 35984*c**3 + 5 with respect to v.\nAnswer: 8*c**3*v**3 - 73680*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30299, -30298, -30297, -30296?\nAnswer: -30295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + z + 5 = 0, -4*l = -3*l - 2*z - 10. Let r = 6 + -4. Find the third derivative of -4*w**4 - 7*w**2 + l*w**4 - 3*w**4 - r*w**4 wrt w.\nAnswer: -216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**4\/12 + 14*z**3\/3 + 9*z**2\/2 + 9*z. Does 27 divide j(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 12 = 5*a + 6*f, -3*a + 32 = -5*f. Factor -3*m**a + 3*m**5 - 18*m**3 - 2*m**5 - 3*m**5 - 4*m - 14*m**2 - 7*m**4.\nAnswer: -2*m*(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0 + 6. Let o = q - 1. Is 9\/(-15) - (-118)\/o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3467093 is divided by 866771.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r - 16*r + 4992 = 0. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 40 + 6 + (0 - 3 + 2)*(1 - 3 + 0))*(z**4 - z**3 + z**3).\nAnswer: -41*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.2 + -24.8. Let f = 15 + h. Let w = -13.5 - f. Which is the closest to 0.11? (a) w (b) -3\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 710618 is divided by 7035.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274 + 258.18. Let g = u + 16. Let w = -22\/13 - -92\/39. What is the nearest to -1 in -1\/3, w, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*m + 4*o - 90, 0 = m - 5*o + 8. What is the remainder when 47 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - 1.02. Let f = l + 1. Let t = -7 + 5. Sort 5, t, f in increasing order.\nAnswer: t, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 18032691.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2854 divided by -958\nAnswer: -1427\/479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3948?\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -3*m**5\/20 + m**4\/4 + m**3 + 11*m. Factor b(t).\nAnswer: -3*t*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.6399 and 1.\nAnswer: -1.6399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 489956 - 60657. Suppose 2*i - t = 173063. Let a = i + 5898819. What is a rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864067058 - -3.\nAnswer: -864067055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*v**2 - 47931*v + 35955.\nAnswer: -3*(v + 3995)*(4*v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42629.\nAnswer: 47, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {y: 2, v: 3, s: 10}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 46 - 16*u - u**2 - 31 - 16 - 4 - 26. Calculate h(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 5*p = 21, 14*p - 23 = 4*c + 9*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 547*k**2 + 5*k - 5. Let v be q(1). Suppose -b + 414 = -2*j, -4*b = 2*j - v - 1149. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -2251\nAnswer: -2251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 16*t - 24 - 131*t + 430*t + 264*t. Let d = -25 - -28. Is w(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 141.751559?\nAnswer: -850.509354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 139 - 264. Let u = -120 - o. What is the closest to -4 in 4, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 2. Let n(g) = -2*g + 1. Let y(c) = 2*d(c) - 4*n(c). Let o(m) = m. Give o(y(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*g - 24, 3*g + 18*o - 14*o - 28 = 0. Suppose -g*r - 28891 = -5*y, 3*y + 29*r - 26*r - 17340 = 0. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + 4*b - 1. Let f be p(3). Suppose -f*q + 6*q - 4 = 0. What is the units digit of 7*q - (7 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(-30*k**3 + 4*k**3 - 2*k**3)*(1 + 3 + 0) to the form f*k + v*k**3 + z*k**2 + c and give v.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/37? (a) 3\/83 (b) 1\/6 (c) -4 (d) 5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 10:58 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1d18 (base 14) to base 11\nAnswer: -3aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -12. Let p = b - -6. Factor -5*x**3 + 4*x**p + 3*x**3 + 6*x**4 + 12*x**3.\nAnswer: 2*x**2*(x + 1)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 - 21 + 43*i**5 + (-4*i + i + 2*i)*(0 + 0 - 2*i**4) - i**4 + i**5 + i**4.\nAnswer: 46*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-219 - -227) + (7 + -6 - -3 - 42)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69692 and 120764?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4374 and 324?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 25 = 0, 38*m + 1 = -3*w + 36*m. Suppose 492*s**3 + 592*s**2 - 20*s**4 + 2*s**w - 122*s**3 - 320 - 624*s = 0. Calculate s.\nAnswer: -2, -2\/5, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (204\/8)\/((-1)\/2). Let f = -26 - j. Suppose 0 = -5*o - 3*m + 1390, 4*o - o = 2*m + 815. Calculate the highest common divisor of f and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 889 and 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1682 divided by -5\nAnswer: 1682\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15316*f - 30622*f + 6*f**2 + 15306*f.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -2*g + 24. Let l = -13 - g. Suppose l*p = 12*p. Put 3, -5, p in increasing order.\nAnswer: -5, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -92*w - 4322. Let t be s(-47). Let h(d) be the second derivative of 14\/9*d**3 - 26*d - 4\/3*d**t - d**4 + 1\/3*d**5 - 2\/45*d**6 + 0. Factor h(v).\nAnswer: -4*(v - 2)*(v - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.3 + -4. Let k = r - -1.6. Let d = -2.9026 + k. Round d to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2525600822?\nAnswer: 2, 107, 11801873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1450 + -1450.000001487. What is c rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1258 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - 54\/(45\/(-5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + 1.98. Let y = -0.2 + 0. Put -2, y, w in increasing order.\nAnswer: -2, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x - 85*x - 2 - 145*x - 10*x**2 - 9*x**2 - 5*x**2 + 42*x**2.\nAnswer: 18*x**2 - 256*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**6\/30 + v**4\/2 - 190*v**2 - 4. Let f(n) = -n**3 - 4*n. Determine 10*f(b) + 3*q(b).\nAnswer: 2*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 50*i + 13)*(2*i - 4*i + 3*i) + (i + 10*i - 8*i)*((2 - 6 + 2)*(-3*i + 0*i + i) - 5 + 5 - 2*i - 5) in the form j + u*i**2 + p*i and give u.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, 28, -0.3.\nAnswer: -177, -0.3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 4.7. Let z = 5.1 + g. Let u = z - -0.3. Round u to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2106*o**2 - 118155 + 118155 + (4*o - 4*o + o)*(-2*o - o + o) + o**2 + 3*o**2 - 5*o**2 in the form h*o + g + s*o**2 and give s.\nAnswer: -2109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 386 + -2?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3 + 534676*r**2 - 196963904*r + 18126908672 = 0.\nAnswer: -267706, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 29767*i**2 + 1. Let m(n) = 8*n**2. Determine l(m(b)).\nAnswer: 1905088*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 7:22 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 2*l**2 + 4*l. Let u be t(-4). Suppose u = 4*p - 0*p. Suppose -4*w - 4*o = -816, w + p*w - 2*o - 1055 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Suppose 8 = -2*g + s*g. What is the remainder when 2 is divided by 3\/1 - g\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4784791 - 4784787.375719. Let n = -11.375704 - c. Let i = n - -15. What is i rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738035 = 85*f + 735060 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 28. Suppose o = 2*w + 13 - 57. Calculate the least common multiple of 14 and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224707?\nAnswer: 7, 47, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 94566815 to the power of 1\/3, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a day in seconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 7*a - 12 + 5 = 0, 0 = 2*x - 3*a + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1414330 (base 6) in base 7?\nAnswer: -452241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z + 7918 - z**2 - 7954 + 2*z**2 = 0. Calculate z.\nAnswer: -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1831, 4, -3, -5 in descending order.\nAnswer: 4, -3, -5, -1831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 16*n + 13*n)*(535*n - 68*n + 173*n).\nAnswer: 18560*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:00 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8.1 (b) -3 (c) -22500\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - ((-15 - -13) + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 455*i**3 + 69 + 2*i**4 - i**4 - 238 - 403*i**3 wrt i.\nAnswer: 4*i**3 + 156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 2, d: 7, c: 1}. Give prob of picking 1 c and 1 d.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87654*h*t**3 + 650*h*t**2 + 7*h*t - 13*t**2 - 2*t wrt t.\nAnswer: 525924*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/14 + (-3355)\/427 - (-2 + 372\/(-52)).\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and 1291\/263 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 11:49 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519246437 a multiple of 6889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a factor of 13403973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v - u + 17 = 0, -2*u = -4. Suppose 0 = o + v*z - 29, -2*z - 11 = -o - z. Calculate the greatest common factor of 126 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162\/41 at most as big as 53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 16*i + 20. Let c be n(-9). Suppose 812 = -c*s + 4*u, 281 = 4*s + u + 1914. Let w = s + 978. What is w rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s - 4*s + 16*s - 3*s to q + h*s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 - -416. Let r = -226.99612 + w. What is r rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171518 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s\/(s\/(s**(-2\/9)*s)))\/s)*s**(1\/10))\/(s\/s**(-2\/3))**(-33))\/((s**(2\/7)*s)**(-32)\/(s*s*s*s**(-1\/4))**(2\/7)) assuming s is positive.\nAnswer: s**(31264\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7815475?\nAnswer: 5, 312619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*s - 0*s + 52, 5*g - 144 = 4*s. Suppose 0 = 2*d - 4. Let q be (-2)\/(-8) + (-75)\/(-20). Solve 6*n + k - 19 = d*n, 4*n + q*k - g = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1623729 divided by 3.\nAnswer: -541243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3731491522.\nAnswer: 2, 11, 169613251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + (sqrt(1440) + -2*sqrt(1440) + sqrt(1440) - sqrt(1440)) - sqrt(10))\/sqrt(2)*6 - (3 + sqrt(30)\/sqrt(6) + -4 + sqrt(5) + -5).\nAnswer: -74*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2. Let g(h) = 5451*h - 12. Let n(j) = -16343*j + 33. Let y(o) = 11*g(o) + 4*n(o). Give c(y(r)).\nAnswer: 29278921*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 676543771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*q + 93 = -4*p + 613*q, q + 45 = -2*q + 2*q + 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 581958, 1163911, 1745878, 2327865, 2909878, 3491923, 4074006?\n\"Answer: v**3 + v**2 + 581943*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -23456?\nAnswer: 23462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 8, 6*b = 2*u + 131282 + 74238. List the prime factors of b.\nAnswer: 2, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 + -0.2. Let h = 11660.8 - 11659.8. Which is the nearest to 0.1? (a) -6 (b) 0.3 (c) h (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*i - 94*i - 64*i - 1 + 16*i.\nAnswer: -86*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1696 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 17, 45, 93, 167, 273, 417?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*q + 34 = -0*q, w + 5*q = 20. Let f(o) = 4 - 5 + w + o**2 - 4*o + 0*o. Calculate f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 6*s**2 + 195*s + 301. Determine r(-10).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/21)\/((-1)\/(-123)) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 272 + 97*d + 97*d + 96*d + 98*d - 90*d**2 - 390*d wrt d.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49*r + 81*r + 109*r + 223*r to f*r + g and give f.\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-1168)\/(-112) + -11).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(19) - (1 + sqrt(19) + sqrt(19) + -5)) + 4 - ((sqrt(19) - -1*sqrt(19)) + 4 + sqrt(684) + -2 + sqrt(684))) + -5)**2.\nAnswer: -30*sqrt(19) + 4276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 34. Suppose 2*k + 9 = -x. Let z = 3 - k. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24\/1961 - 138494\/100011. What is the common denominator of 52\/51 and h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -967 + 10594\/11. Find the common denominator of p and 1\/(-4) + (-446)\/24.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116\/19 + -6. Let x be (165\/(-57) - -3) + 0. Let x*r + 2\/19 - u*r**2 - 2\/19*r**3 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-8)\/3) + (-6760)\/(-45760)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l. Let a(y) be the second derivative of -3\/2*y**3 + 0*y**2 + 33*y + 0. Give a(n(x)).\nAnswer: 54*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + -9 - (-6 - -1). Find the second derivative of 12*n - 15*n - 9*n**i - 18*n wrt n.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26188*b**2 + 2*b*s**2 + 3*s**2 - 24115*s wrt b.\nAnswer: -52376*b + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488340 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 4, k: 2, u: 1}. Give prob of picking 1 f and 1 u.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(100) - sqrt(100)*2*-6) + sqrt(100) - sqrt(100))\/((2*sqrt(24))\/sqrt(12)))**2.\nAnswer: -325*sqrt(2) + 4275\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2, -4, 281 in decreasing order.\nAnswer: 281, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 92*x**2 + 595*x + 2. Calculate h(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/9)\/q)\/q**1)**(-15)\/(q\/q**5*q**3*q*q*q\/q**(2\/15)*q\/(q\/q**(-4\/3))) assuming q is positive.\nAnswer: q**(467\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12870 and 9801792?\nAnswer: 49008960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3921960857.\nAnswer: 7537, 520361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -2. Which is greater: -19 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -439484*i**5*t**2 + 2*i**3*t**2 + 10*i**2*t + 2*t**2 - 5589*t wrt i.\nAnswer: -26369040*i**2*t**2 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*q = 22. Let t(p) be the second derivative of -p**3\/6 + 5*p**2\/2 + 158*p + 1. What is t(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.02 + -0.02. Let s = o + -5. Which is the second smallest value? (a) 0.2 (b) 0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 22*m. Let z(i) be the first derivative of -i**2 - 1. Determine z(v(q)).\nAnswer: -44*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 15 + 14*l**3 - 13*l**3 + 11*l**2 + 5*l + 5*l. Let h be c(-10). What is the highest common factor of h and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271?\nAnswer: 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 3*t + 120, -821*p + 826*p + 77*t = -120 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 - 9*f**2 - 10*f - 8. Let m(t) = -8 - 84218*t**3 - 9*t + 84221*t**3 + 1 - 8*t**2. Determine 6*l(q) - 7*m(q).\nAnswer: 3*q**3 + 2*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -656534*z**5 - 2*z**2 - 4*z + 23959?\nAnswer: -39392040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/30)*i\/(i**(-4\/9)\/i)*i**(-1\/35)\/(i*i\/i**(4\/11)*i*i) assuming i is positive.\nAnswer: i**(-8227\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*u**3 - 30*u**3 - 6*u + 3 + 8*u + 37*u**3 - 3*u**2 - 2 as q*u**2 + o + r*u + b*u**3 and give b.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1157 - 31*u + 1157 - 7*u.\nAnswer: -38*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -3*v + 6*v. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/81*(-7)\/(42\/(-9)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 + (-1 - -4) - (-2 + -4) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, l: 2, i: 2}. Give prob of picking 1 k, 1 l, and 2 i.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -7.3. Let r(v) = 9*v - 15. Let m be r(2). Which is the second smallest value? (a) s (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**2 - 5*b - 83. Let i(v) = -2*v**2 - 3*v - 41. Let g(u) = -3*d(u) + 5*i(u). Let s = -501 + 501. Is 6 a factor of g(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8743.79158 - -8744. Round d to three dps.\nAnswer: 0.208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -604 + r + 1203 - 602 - 2*r**2 to the form n + w*r + h*r**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*n - 20, 3*n - 30 = 9*h - 12*h. Suppose -1\/11*i**n - 4\/11*i - 4\/11 = 0. Calculate i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5906 is divided by 38?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from qqkgkqkqq?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.096 - -1.328. Let t = -961.232 + k. Let w = 959.999999469 + t. What is w rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (45 - -1) + -1. Let k = 195 + -129. Calculate the highest common divisor of k and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2\/52*39?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from nirinivcvi?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.828 + -0.172. What is the nearest to p in -2, 1\/6, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3\/5 - 3068802*w**2\/5 + 156959709012*w - 1569584814936\/5 = 0.\nAnswer: 2, 511466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1933\nAnswer: -386.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15103.5 - 15104. Which is the closest to -1? (a) u (b) 1\/3 (c) -0.17 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -481*o - 8188. What is d(-17)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/(152\/48) + 2 + 4. Is 2*b\/(-16)*-192 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1150.607 to the nearest integer.\nAnswer: -1151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57593 rounded to two dps?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 2:40 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 9 = -2*g - 6, -4*k - 5*g + 9 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16258 and 224.\nAnswer: 1820896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 0.195, 106.82 in decreasing order.\nAnswer: 106.82, 0.195, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 4*m - 24. Let h = 21 - 30. Let n be j(h). Let o be (-93)\/(-105) - 6\/n. Sort 3, o, -2, -2\/7 in decreasing order.\nAnswer: 3, o, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 12*n - 15. Let s be i(-10). Suppose 5 = -4*z + s*w - 3, 0 = z + 2*w + 2. Put z, 2, 1 in increasing order.\nAnswer: z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*d - 75*d = -537. Solve 3*p + p + 3 = -3*h, 0 = -d*h - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 10) to base 14\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -1. Let l = x - 18.99999888. What is l rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -62?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.6078 and 6.\nAnswer: 4.3922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*p + 2, -18 = -4*x - p. Let w = x - 10. Let a(b) = b**2 + b - 1. Let j(n) = 4*n**2 + 5*n - 4. Give w*a(t) + j(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-3))\/((-6)\/9). Suppose -1360 = p + f*p. Let z = p - -463. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160868 to the power of 1\/2, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5 = 25. Suppose 165 = 5*d - 4*m - m, 0 = r*d - m - 153. What is the smallest common multiple of 6 and (d\/(-9) + 3)*-66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70511.51t to nanograms.\nAnswer: 70511510000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4566235*n**3 + 10672*n**2 - 804*n.\nAnswer: 27397410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -224*s**4 + 6*s**3 - 222*s. Let c(g) = g**3 + g. Let u(j) = 6*c(j) - k(j). What is the second derivative of u(y) wrt y?\nAnswer: 2688*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a meter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 5*l - 35, -26699*l - 4*a - 24 = -26701*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 35*q**2 + q. Suppose -21*w = -16*w - 720. Let b be 0 + (-12)\/10 + w\/720. Give g(b).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 44. List the prime factors of x(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 10464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24*9*(-4)\/(-16). Suppose q = 3*v + 129. Let p be (-5)\/v*10\/2. Let s(z) = -20*z. Calculate s(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, y: 8, m: 5}. What is prob of sequence zy?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76686877601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -21210?\nAnswer: 21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**2 + 26*h**2 + 9 - 11 + 6*h**2 in the form s + i*h**2 + t*h and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24180 >= 24180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1434846, 2869699, 4304556, 5739417, 7174282, 8609151, 10044024?\nAnswer: 11478901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p - 45*p + 82*p = 135. Put 1, -21, 4, p in descending order.\nAnswer: 4, 1, -21, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 42. Suppose 0 = 5*d - 158 + s. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 8*i + 2*k = 8, 0 = -i - 2*k + 20. Solve 7*v - 18 = -c, -3*c - 4*v = -i*c + 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (112 - (4 - ((3 - -14) + -26))).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let g(o) = -o**3 + 5*o**2 + 8*o - 8. Let d be g(6). Suppose -z + 0*z + 4*u = 0, d = 2*z - 4*u. Let v(a) = -19 + 19 + z*a. Give v(h(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 7*h**2 - 9*h + 12. Let c be n(8). Let g be (c\/6)\/((-2)\/(-6)). Calculate the remainder when g\/(4\/29)*2 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5*g = -20, -2*l + 2*g - 8 = l. Suppose l = -6*b + b - 20, 4*b + 2 = -2*y. Let x = y + 9. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 4)*(-2*o - 2*o + 3*o) - 2*o - 3 + 3 + (0*o + o + 0*o)*(0 - 1 + 0) + (o + 5*o - 3*o)*(1 + 2 - 2).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4*p - 4 = 16, 2*m + p - 8 = 0. Let v be (2\/(-8))\/(5\/(-100)). Suppose w - 24 = -v*w. Solve -5*u + 5*h = 35, 10 = -4*u - m*h - w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005878308 rounded to 7 dps?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z**3 - 8199*z**2 + 30888*z - 18549 = 0. Calculate z.\nAnswer: -687, 3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 + 13*v + 23. Is z(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 3*y - 1986 - 44*y**2 + 46*y**2 in the form i*y**2 + k + p*y and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvppvpvppppvpppvvp. What is prob of picking 2 v?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 4. Let m(l) = 0 + 0 + 14*l - 11*l. Calculate y(m(i)).\nAnswer: -3*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.95 + 0.05. Let j = -31 - -18. Let c = 18 + j. What is the biggest value in -1\/4, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2618 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141454 is divided by 5883?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -8*x + x + 6*x. Let f(n) = -n. Give c(f(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 12*o**2 - 45*o - 54.\nAnswer: -(o + 3)**2*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 3106*r + 434964. Calculate j(147).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 40 = -14*f. Let q(w) = 0*w**2 + 5*w**2 - 4*w**2. Let d(b) = 3*b**3 + 5*b**2 - b + 1. Calculate f*q(p) - d(p).\nAnswer: -3*p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = 3*h - 12*g + 324, -4*h = 4*g + 424. Let u = h - -106. Solve u = l - 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66*z**2 + 60*z**2 + 29*z**3 - 2 - 133*z**2 - 22*z wrt z?\nAnswer: 174*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let w(z) = -9*z**3 - 4*z**p + 2*z - 1 + 5*z**2 - 3*z. Is w(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12995 + 12999. Solve -2*b - 16 - 4 = 3*s, b + q = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5 = -5*h + 9, u = -h - 21. What is the hundreds digit of (1 + -2)*3451\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:32 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 18*z + 57. What is n(-19)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 + 0.129. Let f = -0.209 + w. Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 1139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - 1)*48\/96. Let z be (3 - n\/(-4)) + 8\/(-9). Factor 0 - 2\/9*t**3 + 0*t - z*t**2.\nAnswer: -2*t**2*(t + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00538831974 to five decimal places.\nAnswer: -0.00539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 32913?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1366 - -1446. Calculate the greatest common divisor of 205 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2116.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -202514 - 22?\nAnswer: -202536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3604 + -3614. Let r be 2\/(-8) - 62\/8. Is r at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -789, -3135, -7047, -12525?\n\"Answer: -783*g**2 + 3*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (2 - (19 - 18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 433111 (base 5) in base 16?\nAnswer: 39bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3215202646 + -2.\nAnswer: 3215202644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, 50, 182, 318?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 3, v: 1, h: 4, i: 4, n: 7}. What is prob of picking 1 v and 1 p?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 0.2, -0.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173653 and 112751.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i = 2*r + 3*r - 35, 5*r - 4392*i - 59 = -4390*i for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = y + 17, 0 = 3*y + 4*w + 6 + 1. Suppose y*u = -0*h - 3*h + 237, 222 = 3*u - 2*h. Let p = -50 + u. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-120)\/(-48) - (2\/(-2))\/(-1). Let f = 0.5 - 0.3. Which is the biggest value? (a) f (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -102 + 106. Find the third derivative of -2*j**4 - 13*j**4 - 39*j**2 + 11*j**2 + 0*j**b wrt j.\nAnswer: -360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2. Let p = -23 - -17. Let o(r) = -r**3 - 5*r**2 - 19. Let u be o(p). Let t(i) = -5*i + u*i - 11*i. Determine m(t(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2266 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3735.71 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 425 and -0.3.\nAnswer: -127.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45237029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 885792*g**2 - 4*g - 1. Let p(l) = 21*l. Calculate p(i(a)).\nAnswer: 18601632*a**2 - 84*a - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 45*h**2 - 167*h + 45. Let u be g(41). Let l = 112839 + -1355003\/12. Let d = u - l. Find the common denominator of d and 91\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2 - x + x**3 - 1 + x + 3*x**3. Let j be l(1). Calculate the greatest common factor of 55 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 5*d**2 + 15*d + 5. Let p be h(7). What is the highest common divisor of 108 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 4*u**2 + 6. Let l be t(-4). Let q be (5754\/9)\/(2\/39). Suppose -7*m + q = l*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 - 498*i**3 - 257067*i - 257074*i + 514139*i to o + h*i**3 + z*i**2 + b*i and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2980313?\nAnswer: 7, 37, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1449*n**2 + 3*n**3 + 11*n**3 - 423*n**2 - 424*n**2 - 604*n**2.\nAnswer: 14*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l**3\/3 - 2*l**2\/3 - 13*l - 24 = 0. Calculate l.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*s = r - 62, -4*r + 32 = 2*s. Suppose -3*q + 81 = -4*n + r, 4*q - 3*n = 97. Let k(y) = 3*y - 18. Let l be k(8). Solve -a + l*a + q = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12928, -51837, -116728, -207601, -324456?\nAnswer: -467293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**2\/11 - 192*s\/11 = 0. Calculate s.\nAnswer: -96, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2186*z + 1359*z - 141*z + 581*z)*(-1 + 2 - 2).\nAnswer: -3985*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + a + 7, -2*u + 6*a = 7*a - 9. Factor 3\/4*t**u - 9\/2 + 3\/4*t.\nAnswer: 3*(t - 2)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 9) in base 3?\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (-6 + 3 - -3) - 8.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4131.2 - -4337.33. Let b = y + -206. Is -2 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-21)\/k)\/(k\/k**6) assuming k is positive.\nAnswer: k**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = -2. Suppose -6*a + a = 3*z - 5, 5*a - l = 3*z. Let o = 448\/2343 + -2\/213. Is o >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1891 and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/35 and -58\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2082082 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 516216551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13003626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7008337 less than 5.1409284?\nAnswer: -7008331.8590716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 11*g + 4. Let d(l) = 12*l + 3. What is -2*a(c) + 3*d(c)?\nAnswer: 14*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(75)*-2*-6)**2*6.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d - 2. Let m(c) = -c**2 + 4*c + 5. Let s be m(5). Suppose -n + d = -s*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, 32, 0.5 in ascending order.\nAnswer: -0.21, 0.5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/17))\/(((r*r*(r\/r**5)\/r)\/r)\/r))**(14\/5) assuming r is positive.\nAnswer: r**(280\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -r + 5*h - 13, 2*r + 32 = 4*h. Let t be r\/(-49) + ((-52)\/(-14) - 0). Solve -24 = 2*k - t*i, 0*k - 5*k - 40 = -5*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -1451.\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k + 22 + 146 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87467*t**2 + 785*t - 7.\nAnswer: 174934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -4*t - 6. Let i be u(-5). Let j be (-2 + -1)\/3 - -2. Solve -5*l = i + j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 times -135243\nAnswer: 135.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**2 - 7*w**2 - 3*w - 8*w**3 as v*w**2 + y*w + t + j*w**3 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 3. Let b = 16 - 34. Let p be b\/(-4)*(-4)\/(-6). List the prime factors of j(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - v**2 + 1. Let s(w) = 62*w**2 - 4*w**3 + 8*w**3 - 4 - 26*w**2 - 30*w**2. Calculate -s(p) - 6*z(p).\nAnswer: 2*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.213 times -6332?\nAnswer: -1348.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 2377163 and -3.\nAnswer: 2377160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 4)*(-13*a - 8*a - 7*a + (-3 + 2*a + 3)*(-1 - 3 + 2)) - 3*a - 2 + 2 in the form b*a + x and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h + 1. Let j(o) = 4*o - 3. Let z(i) = -i + 7. Let m be z(5). Let a be j(m). Let g = a + -10. Calculate t(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -233*i**3*x*z**2 - 2*i**3*z**3 - 4*i**2*x*z**2 - 5*i**2*z**2 - 3*x*z**3 + 1 wrt i?\nAnswer: -1398*x*z**2 - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 5*i**2 + 0*i**2 + (4 + 2 - 5)*(2*i**2 - 5*i**2 + 2*i**2) + 0*i**2 - 4*i**2 + 2*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emee when four letters picked without replacement from {g: 1, h: 1, a: 1, q: 1, e: 1, m: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -1.36175393.\nAnswer: 16.36175393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4 - 1536*u**3 - 11259*u**2 + 1004244*u - 991452 = 0.\nAnswer: -29, 1, 22, 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k + 2. Let o be z(-1). Is (-636)\/(-54) + o\/27 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3580\/75)\/2 - 6\/(-45). Solve -5*n + l = 3*p, 5*n - 4*n = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 41.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1100 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**3 + 4*i**2 + i - 3. Let f be g(-3). Let b = f + 96. Let z be -3*(78\/b + 5). Solve z = -2*q - v, 12 = 5*q + 3*v + 41 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 2 - ((33 - (12 + -6)) + -5)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4527 (b) -4 (c) -3\/2 (d) 3\/8 (e) -1\/8 (f) 5.19 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and -29242471756.\nAnswer: -29242471756.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vicv when four letters picked without replacement from {v: 2, c: 5, s: 6, p: 1, i: 1}?\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 15606788910 to the nearest 1000000.\nAnswer: 15607000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317370007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**4\/8 - 649*z**3\/8 - 53703*z**2\/8 + 2062665*z\/8 - 2076975 = 0. Calculate z.\nAnswer: -543, -136, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 510 or 508?\nAnswer: 508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 5*z - 6. Let i be t(6). Suppose 0 = 11*f - 8*f - 3. Is f < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 37687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1991\/185 at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = 6*n. Solve -g - 4*g - n*r - 28 = 0, -5*g = -3*r + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/(1\/(-4)). Suppose 3 = 3*v, v - 85 = -6*m + n*m. Solve -b + 2*l - 7*l + 19 = 0, 0 = -b + 5*l - m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 3*a - 103, 3*a = -2*z - 10*z + 135 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, 3080 in descending order.\nAnswer: 3080, 9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1230 by -246.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-1)*(2 + -3). Suppose v = g - 0*g - 12. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -139.671 and -991.\nAnswer: -1130.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*a - 110*a = 24687. What are the prime factors of a?\nAnswer: 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + x = 44. Calculate the remainder when 30 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 9 (b) 137 (c) 0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 11874557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 29*v**2 - 28*v + 52. What is l(-30)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 - 4*j + 3. Let c be h(2). Suppose 2349*g = 2361*g - 36. Find the third derivative of 9*i**3 + 5*i**c + 11*i**2 + 9*i**g - 10*i**3 wrt i.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 11316 = -3*j. Suppose 2*v + 7968 = -2*v. Let s = v + j. Round s to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-18))\/((-27)\/24)*((-405)\/40)\/(-9)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4078 + 4074. What is the fifth biggest value in 5\/9, 3, 4, -1\/6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*s - s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 110 = 9*p + l, 3*p - 3*l = 66. Let f be 3 - (p\/4 - 3). Which is the third smallest value? (a) -3.6 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-138)\/(-8))\/((-30)\/20) and -71\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*b**5 + b - 9*b**5 + 13*b**5 wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - -4?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202288153 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 555 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-z + 4*z - 2*z + (z - 3*z + 3*z)*(-4 + 4 + 2) + (z - 2*z + 2*z)*(4 - 5 + 3) - z + 0 + 0).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 58?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/187, -5, 1, -26, 1\/4?\nAnswer: 3\/187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -51 + (9 - (14 + 2 + (-8 - 14 - -7))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341 (base 5) to base 12.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*r**2 + 150023*r - 1150177?\nAnswer: -12*r + 150023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 2116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*o + 2*o - 7, 0 = 3*o - v + 17. Suppose -2*k = 21*k - 1449. Calculate the remainder when k is divided by ((-26)\/(-3))\/((-4)\/o).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 3:04 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/23))**(-42) assuming b is positive.\nAnswer: b**(-42\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 2*x + 20, 124*d + 117 = 123*d - 23*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 348*j**3 + 6922*j**2 - 35568*j.\nAnswer: 2*j*(j - 152)*(j - 13)*(j - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 3. Let j be i(4). Let a = -51250 + 51250.3. What is the nearest to 2 in 3, j, -4, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, -66, -0.2, 0.5, -128\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43479*k**5 + 150*k**2 + 101*k + 3 wrt k?\nAnswer: 2608740*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315308?\nAnswer: 2, 7, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2828.025 and 17?\nAnswer: 2811.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7179508.\nAnswer: 2, 7, 17, 15083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9633478 a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 20. Let v be 8\/l - (-68)\/42. What is the second smallest value in 2, -2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**5 - 1220*l**4 + 23941*l**3 + 71094*l**2 - 352008*l - 950400 = 0.\nAnswer: -3, 4, 22, 1200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1283128 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*p**3 + 1604*p**2 - 626*p + 23 wrt p.\nAnswer: 36*p + 3208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6185021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -201 divided by 4\nAnswer: -201\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.95 + 0.05. What is the third biggest value in -0.2, y, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447 - -12*(-50)\/60 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 3. Let v be d(3). Let q be -9*2*(-2)\/v. What is the closest to 8 in 3, 1, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 493744408 to the nearest integer?\nAnswer: 22220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, and 1 x when three letters picked without replacement from {e: 2, a: 1, x: 1, u: 4, p: 3, m: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 2)*(-1162*v**3 - 989*v**3 + 2599*v**3).\nAnswer: -4032*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91922.99 millimeters to centimeters.\nAnswer: 9192.299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12557162.\nAnswer: 2, 6278581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4300381\/9 - 477820. Factor -8\/3*c - o*c**2 + 25\/9.\nAnswer: -(c - 1)*(c + 25)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 p when three letters picked without replacement from eepeepepppeee?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-56 - (-2595)\/45)*-1*32\/(-10)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 13 = -12*w + 9*w, -7*a - 4*w = -59. Solve a*s + 169 = 149 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r + 83 - 83)*(2*r**3 + 3*r**3 - 4*r**3 - 2*r**4).\nAnswer: -16*r**5 + 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from {m: 3, u: 2, d: 5, t: 1, c: 6, r: 2}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29987214 divided by -3?\nAnswer: 9995738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 914*p - 32238. Determine s(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 692163 by -11.\nAnswer: -692163\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(9000\/(-25))\/(-24).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Let s(u) = u**2 - 3*u + 1. Let z be s(4). Let m(w) = -w**2 + 8*w - 10. Let r be m(7). Sort z, r, o in descending order.\nAnswer: z, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421 (base 8) to base 11.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j**3 - 12*j**2 + 19*j + 121. Does 90 divide d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 6*s**2 - 4*s**2 - 3*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5, -124, -493, -1238, -2485, -4360?\n\"Answer: -21*z**3 + z**2 + 25*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -85bb7?\nAnswer: 85bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33010 (base 4) to base 8\nAnswer: -1704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -416*g - 1021. Is b(-24) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -3. Let a(m) = m - 6. Let w be a(v). Suppose -3*x = 2*k - 21, -32 = 6*x - 10*x - 4*k. Solve -x*y = -w*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28132 = -823*d + 827*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -9603\nAnswer: -8\/3201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(192) - -1*sqrt(192)))**2.\nAnswer: 7\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d + 11. Let w be f(-7). Let k be (-28)\/w + (-4)\/18. Let 0*y**2 + 0*y + 0 + 8\/5*y**4 - k*y**3 - 6\/5*y**5 = 0. What is y?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1869 divided by 21.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-five halves of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3302*y + 3300*y - 1 + 3. What is z(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78075 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03227831 and 302962.7.\nAnswer: 302962.73227831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*s + 5124, 93*a + 3*s = 89*a + 5114. What is the lowest common multiple of a and 180?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**3 - 663*p**2 - 12660*p - 12000 = 0.\nAnswer: -200, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 45*u**2 + 70*u + 3177. Let l = 32 - -1. What is the smallest common multiple of l and g(-45)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, c: 2, u: 4, l: 3, v: 1}. What is prob of picking 1 e and 1 c?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -292*k + 53. Let i(d) = 146*d - 23. Give 7*i(c) + 3*m(c).\nAnswer: 146*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 32. Let z be p(-7). Let h = 2.3 + -2.1. Sort -2\/13, h, 2, z in descending order.\nAnswer: z, 2, h, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 14*f - 15. Let i be g(-13). Let x(n) = -2943932*n + 5. Let h be x(i). Let v = -1887869 + h. What is v rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.047*-2.47\nAnswer: 0.11609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (0 - 119673)*(-1 + (-28)\/(-42))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 9)\/((-32)\/(-11) - 3). What is the highest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 1611*w**2 + 28*w - 71. Is t(2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 26 + (0 + -1)*1. Factor -14*b - 180 - 5*b**2 - d*b - 23*b + 2*b.\nAnswer: -5*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*m = -26*m - 5*z + 1872, 2*m = z - 936. Let n = -466 - m. Determine y so that -n*y - 16\/3*y**2 + 2*y**3 + 0 = 0.\nAnswer: -1\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 12\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from epwwe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55230.3 litres in millilitres?\nAnswer: 55230300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 118710251 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.8 - 318.8. Let w = z - -301.3. Which is the closest to w? (a) 2 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 20151.\nAnswer: 161208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m**2*p**2 - 2*m**2 + 14*m*p - 159499*p**3 - 5646 wrt p?\nAnswer: 10*m**2 - 956994*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -11*n + 6*n. Let d = n - 71\/3. Factor d - 2\/3*o - o**2.\nAnswer: -(o + 1)*(3*o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, c: 3, p: 2, t: 4, i: 1}. What is prob of picking 1 c and 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(70)\/(-2*sqrt(10) + sqrt(10)) + sqrt(7))**2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -3b?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07947 and -4.5.\nAnswer: -0.357615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.336 + -0.1423.\nAnswer: 30.1937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-2\/53))\/v)\/(v**(-16)*v*v*v*v*v)*v\/(v*v*v**(12\/11)*v*v*v)*v**(-24) assuming v is positive.\nAnswer: v**(-10525\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - -350. Suppose 2*q = 4*w + 966, 3*w + a + 121 = q. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*t**3 + 24*t**3 - 16*t**2 - 5*t**3 + 2 - 9*t**3 to the form r*t**2 + z*t + y*t**3 + x and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 1 + 1, -4*n + 170 = v. Let t = 39 - n. Let i(y) = y**2 + 2*y - 3. Calculate i(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*l**2 + 29*l**6 - 79*l**2 + 39*l**2 wrt l.\nAnswer: 3480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161563966 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -737902 divided by -22\nAnswer: 33541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.22 + 0.12. Let f = 0.09 + 1.01. Let g = a + f. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 15. Let l(t) = 3 + 6*t - 11 - 4*t. Let g be l(u). Solve 3*a = 7*a + g for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r. Let u be f(-2). Suppose 4*h + k = -0*k + 79, 0 = -u*h - 3*k + 77. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {g: 5, q: 4, c: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/5 + -1 + 6. Put c, -2, -1 in descending order.\nAnswer: c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k - 1. Let p(r) = -5*r - 6. Let t be (-1)\/(4\/36)*-1. Let f = t - 3. What is f*j(h) - p(h)?\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9b + -1a0?\nAnswer: -25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + 2*w**2 + 3*w**2 + (-1 - 2 + 2)*(-230*w**2 - 294 + 294).\nAnswer: 231*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvnnade. What is prob of picking 1 x and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -648916 + 295257082\/455. Let z = b - 6\/65. Find l such that 8\/7 - z*l**2 - 4\/7*l = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 10:12 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 12*p**2 + 158 - 158)*(-199*p + 91*p + 59*p).\nAnswer: 588*p**3 - 49*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4953*g**2 + 5*g + 55. Let l(s) = -12382*s**2 + 12*s + 132. Give -12*i(x) + 5*l(x).\nAnswer: -2474*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/5440 and -43\/206176?\nAnswer: 2061760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**4\/24 - x**3\/6 - x**2. Let a(b) = 2*b**2 - 3. Let y be 3\/(-2)*(-6)\/9. Give y*a(u) - 3*g(u).\nAnswer: 2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29901 is divided by 277.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -95*n**2 - 26*n - 13. Let a(h) = 214*h**2 + 53*h + 26. Let q(r) = 4*a(r) + 9*i(r). Calculate q(21).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/115 in -4, 3, -42, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.07 (c) 1\/3 (d) 1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.09. Let w = -4.99 + x. Suppose 0*y - 2*y = -3*y. What is the third biggest value in y, w, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*2.813.\nAnswer: -19.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - -3)\/((-8)\/11732*-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + -0.09. Let h = -2.01 + t. Which is the closest to -1\/3? (a) 0.3 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 1, 2\/25, 92, 3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5bcd13 + -5?\nAnswer: 5bcd0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 2. Let g(x) = 4*x + 3. Let h(l) = -6*a(l) + 5*g(l). Let s(n) = -n - 46 + 129 - 46 - 38. Let k(z) = h(z) + 4*s(z). What is k(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 55.81547 and -1.3?\nAnswer: -72.560111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 15. Let f(p) be the third derivative of -p**6\/120 - p**5\/5 + p**4\/6 + 7*p**3\/3 - 27*p**2. What is the tens digit of f(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 134735*d + 149071980.\nAnswer: 5*(d - 25791)*(d - 1156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.59 and -1.25?\nAnswer: 26.9875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -2, -1437, -6, 816 in ascending order.\nAnswer: -1437, -6, -2, 14, 816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7897 + 0*k + 5*k + 4162 + 3745.\nAnswer: 5*k + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r*r*r*r\/((r*r\/r**(2\/65)*r)\/r)*r*r*r\/(r**6*r) assuming r is positive.\nAnswer: r**(2\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 20 = -4*w. Find the common denominator of -19\/7 and 1472\/(-280) + w\/10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.052081 to 3 decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 19}. What is prob of sequence fx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v**3 - 1\/4*v**5 + 0*v + 0 - 15\/4*v**4 + 125*v**2 = 0. Calculate v.\nAnswer: -10, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742 a factor of 74116154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/(-10) + ((-12)\/8 - -2). Solve 5*g + w*b + 4 = 7, -g + 3 = 3*b for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 + 4*b**2 - 5*b**2)*(-4 - 2 + 4) + 5*b - 2*b**2 - 5*b + b - b**2 - b - b**2 - 9*b**2 - 4*b**2 to z*b + y*b**2 + w and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/473713 + -894843717\/33159910. Let b = 254\/7 + a. Calculate the common denominator of -39\/8 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377856 is divided by 126?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(18*j - 4*j + j) + (-1 - 3*j + 1)*(-4 - 4 + 16) - 5*j + 0*j + j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 13*l - 125 - 66. Solve 26*x - l = 30*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**4\/7 + 1501092*j**3\/7 + 40236449392*j**2 - 1689972905280*j\/7 + 2253313218816\/7 = 0.\nAnswer: -375276, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004250712012 rounded to 4 dps?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 16*z**2 - 8*z**2 - 11 - 15.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10 = 2*l, -2*d - 3*d = -4*l. Let n be (-3)\/9 + (-1407)\/(-9). Suppose z - l*z = -n. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -241998, -2\/3, -2, -232 in descending order.\nAnswer: -2\/3, -2, -232, -241998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -332\/777 + -16\/111. What is the closest to 0.5 in -3, r, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.0629 plus -1326?\nAnswer: -1363.0629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 + 0.3. Let v = 0.7 + l. Suppose -3 + 0 = -q. What is the second biggest value in v, q, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**3 + 3*q**2 + 2*q + 1. Suppose 9*j + 12 = 5*j. Is v(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dow when three letters picked without replacement from eeowsdobw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 23*d = 46. Let p = 20 - d. Let k = 11 - p. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 - 31. Suppose 4 = -y*x + 5*x. Suppose g - 239 = -2*z, -481 = -x*z - 4*g + 3*g. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 0) + (-77 - -87)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 126.91+-231975808\nAnswer: -231975681.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*i - 81, 2*f + i - 1 + 34 = 0. Which is smaller: -54 or f?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 705362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 9 + 52 - (-7 + 2 - -6).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11805, 11833, 11877, 11931, 11989, 12045, 12093, 12127?\n\"Answer: -x**3 + 14*x**2 - 7*x + 11799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11135*x**3 - 11872*x**3 + 23003*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2144 and -89\/2496?\nAnswer: 167232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/((-8)\/(-32)). Let n be (28\/20 - d)*5. Let u(q) = 2*q**2 + 1 - 2*q**2 + 3*q + 0*q - q**3 - q**2. Determine u(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17386794.9 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2686*n + 2513*n - 519 = 0. Which is the nearest to -44? (a) -5 (b) -2\/3 (c) n (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.9 (b) 2\/19 (c) -0.1 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(3\/(-18)*4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 10) + -11 + 12 + 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - g. Let x(n) be the first derivative of 3*n**3 + 3*n**2 + 24. Give 6*r(w) + x(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 6*v + 1. Let i be q(-7). Suppose i*a - 1062 = -a. Suppose -g + a = -38. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 66 - 126. What is the remainder when t is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p - 3. Let z(m) = 40*m - 17. Let n(g) = 34*v(g) - 6*z(g). Let t(d) = d - 127. What is n(t(x))?\nAnswer: -2*x + 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 4. Let r be p(-2). Suppose 6 = 2*z - r. Suppose 0 = 2*g - 5*f + 2*f - 62, z*f - 12 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 = 831*a + 2782 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*s + 16*s + 56 = 0. What is the hundreds digit of (-3182)\/(-8) - (-2)\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - 9*m**2 + 13*m**2 - 8*m**2)*(-4*m + m + m).\nAnswer: 2*m**4 + 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 608117, 608170, 608305, 608564, 608989?\nAnswer: 609622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -12*a + 124. Give h(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16796 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 11:40 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o. Let d be (-4)\/(-16) + (-14)\/(-8). Let m(y) = 4*y**d + y**2 + 0*y**2 + 0*y**2. Calculate m(x(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaaa when four letters picked without replacement from fffafaaaaaa.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 (base 15) in base 11?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 34. Let l be (q - -6) + -1 + 3\/1. Solve -l*k = -6*k - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*r**3*t**3*z - 14*r**3*t + 3*r**3*z**2 - 789*r**2*t**3*z**2 + 5*r**2*t*z + t**2 wrt z.\nAnswer: 6*r**3 - 1578*r**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 19 - (-32 - (5 + -10))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 93.\nAnswer: 4\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-9\/7))**(9\/2)\/((((p\/((p**28\/p)\/p)*p*p)\/p)\/p)\/(p*p**(5\/6))) assuming p is positive.\nAnswer: p**(1073\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 45*s + 1744. Let h be m(25). Suppose 0 = -13*z + 10*z + 6. Sort 0, h, z.\nAnswer: h, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60053339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 178 + -40. Let l = -249921.071 + 249783. Let o = k + l. Round o to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6701154*s**2 + 5090505 wrt s?\nAnswer: 13402308*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37597 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 3143*z**6\/120 + z**5\/60 + 1313*z**3\/2 + z**2 - 10*z - 1. What is the third derivative of a(b) wrt b?\nAnswer: 18858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7427 and 227?\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36910.\nAnswer: 2, 5, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/4 - 33\/(-14)) + (-384)\/448?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 561573?\nAnswer: 2246292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-54)*3)\/((-39)\/9)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1334.156 - 26517.\nAnswer: -25182.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 2*l - 2*l)*(0*l**2 + l**2 - 3*l**2 + 1 + 3*l**2 - 1 + (-4 + 0 + 2)*(-2 + 2*l**2 + 2)) to the form x + n*l + r*l**3 + t*l**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1350 by -3093.\nAnswer: -450\/1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 3)\/3*0. Suppose b*a - 2*a = 12. Let d be (15\/a)\/((-1)\/(-2)). Is d >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20958354 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15735508 to the nearest integer?\nAnswer: 3967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -22. What is the tens digit of ((-53)\/3)\/(1\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + l + 0*l)*(2 + 7 - 2) + 3*l + 0 + 0 + (0 + 0 + l)*(-2 + 1 - 1) + 2*l + l - 2*l to the form d*l + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40262*b + 40159*b - 2369 = 0 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -24. Find the third derivative of -5*a**2 + 0*a**2 - 2*a**2 + 5*a**c wrt a.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2 + 7. Let t(l) = -2*l. Give n(t(x)).\nAnswer: -16*x**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 141, 3, 5 in descending order.\nAnswer: 141, 5, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00673601409 rounded to four decimal places?\nAnswer: -0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.71 - -0.27. Let v = x + 0.64. Which is the second biggest value? (a) -52 (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 8 - 8 - 9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 10*s. Let q(m) = 60*m + 3. Determine r(q(t)).\nAnswer: 3600*t**2 + 960*t + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2170642 to the power of 1\/2, to the nearest integer?\nAnswer: 1473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 y when four letters picked without replacement from {h: 3, o: 3, k: 1, q: 1, y: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13a39 (base 15) in base 4?\nAnswer: -33121032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(17\/2)*-13)\/(-2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(1\/10))**10\/(y\/(y\/y**(4\/5))*y\/y**(-26)*y))**(-34) assuming y is positive.\nAnswer: y**(3366\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2803314 to the power of 1\/2, to the nearest integer?\nAnswer: 1674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47484, 47483, 47482, 47481, 47480?\nAnswer: 47479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155630)\/8274 - (-17 + -2).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11162 is divided by 318.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1126*z**2. Let n(a) = -40143*a**2. What is n(t(c))?\nAnswer: -50896346268*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*n + 2418 + 8222. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 1 + (10 - 6) + 1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30831 + 1551?\nAnswer: 32382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h - 2. Let o be q(1). Let z(v) = 22*v**3 - 3*v**2 + 9*v - 5. Let r be z(o). Let p = r + -411. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -10\/7, -14, -2\/19, -5\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/4 + 23*a**2\/4 - 30*a - 36.\nAnswer: -(a - 12)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 + 20*n - 8. Let r be f(-10). Let p(u) = u**3 + 8*u**2 + 10*u + 5. Let m be p(r). List the prime factors of ((-2)\/5)\/(5\/m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 v when two letters picked without replacement from vlpvl.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51, -63, -81, -105, -135?\n\"Answer: -3*d**2 - 3*d - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 477*f**2 - 8*f - 5. Let o be k(-6). Let c be 60\/4*(-5 - (-16056)\/(-6)). Let y = o + c. What is y rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 38\/(-247) - (29667\/(-429) + -4*1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.259 times 99\nAnswer: -25.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*u + 71610 = 236*u. Calculate the remainder when 317 is divided by u.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + 2792\/(-80) + 1\/(-10))*84\/24.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 15*i**2 - 22*i + 346. Calculate o(-14).\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.1 - 5.6. Let o = -59.7 + 72.3. Let i = k + o. Is i at least as big as -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sptsttstpttpnt. What is prob of picking 2 p and 1 s?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 17*a - 30. Let m be j(15). Let z(k) be the third derivative of -3*k**2 + 0 + m*k**3 - 1\/20*k**5 - 1\/4*k**4 + 0*k. Factor z(p).\nAnswer: -3*p*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -925, -961, -1019, -1099, -1201, -1325, -1471?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-seven fifths of a meter?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*w - 148*w - 105 = 0. Calculate the common denominator of 340\/88 + (11 - w) and (-1)\/(1\/(130\/16)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5422*s + 5401*s - 525 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 4.4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:07 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**4 - w**4 + 4*w**4)*(-1 - 90*w - 84*w + 179*w).\nAnswer: -10*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -3\nAnswer: 112\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a**3 + 3855*a**2 + 2719*a - 17002. Calculate k(-550).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 48 = -192. Let v = -26 + 14. Let b be 67\/4 - (-9)\/v. What is the highest common divisor of t and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3952 + 3952.4. Suppose 3*p - 7*p + 34 = w, w - 30 = -3*p. Which is the nearest to 2? (a) z (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(2\/85)*g))\/g**(1\/3))**(-1\/26) assuming g is positive.\nAnswer: g**(167\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 5, 0.1, 0.4, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2174727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3443247 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 373.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 8570 (b) -4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/196 and 3\/180*-5*71?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -3, 4.\nAnswer: -7, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-4\/7)*u)\/(u\/(u**(-4\/5)*u*u)))**29 assuming u is positive.\nAnswer: u**(2813\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15075 is divided by 1368.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (-217 + 211)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 250 (b) -3\/8 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - (-1 - -3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*j**3 + 24*j**3 + 60*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -194 divided by -97?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12868453?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + b, 4*x = -x + b + 12. Solve v - 6 = -2*q, -x*v - 3*q + q = -10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -17*u. Suppose -15 - 25 = 5*d. Let f = d + -5. Let g(x) = 8*x. Let n(q) = -152*q. Let o(y) = 56*g(y) + 3*n(y). Calculate f*o(j) + 6*l(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s + s. Suppose 65 = -5*z + s*u + u, 2*z = 5*u - 32. Let v = -524.9 + 524.5. Which is the second biggest value? (a) -0.3 (b) v (c) z (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 24*g**2 - 29*g + 142. Let c be s(23). Let n(r) = r - 13. What is n(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -8. Let s(c) = -2 - 4*c + c - 3 + 2*c. Let g be s(-6). Sort 4, g, h in increasing order.\nAnswer: g, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -3.1. Let h = -0.3 - u. Let c = -0.3 - h. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b**2 - 5*b - 2. Let g(p) = -46*p**2 - 25*p - 11. Let z(y) = -2*g(y) + 11*w(y). What is the second derivative of z(f) wrt f?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = r - 6*r. Suppose 0 = -4*z + r*g + 31 + 34, 3*z = 2*g + 49. Let b = z + -8. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 44436*q - 44436*q. Let h(y) = y**2 + 6. Give j(h(k)).\nAnswer: 3*k**4 + 36*k**2 + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-4\/3))\/(s*s**(-6\/17)))\/((s**(-1\/5)\/s)\/(s*s**(-10)\/s)) assuming s is positive.\nAnswer: s**(-2494\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-3 + -2) - (37 - 39). Let r(a) = a**2 - 7*a - 6. Calculate r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61294069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 17 + 19. Let w = -6429 - -6431. What is the remainder when l is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/891*153\/17. What is the nearest to 0 in -7, -13\/4, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -77, -2, -3.\nAnswer: -77, -3, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(68))\/sqrt(4) + sqrt(17).\nAnswer: -sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 44431627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4747 and 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 4*n + 2. Let u(h) = h. Calculate s(c) + 2*u(c).\nAnswer: -2*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -145950, 4, 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/7, 3, 4\/3, 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 + 4*s**3 - 3*s**3 + (-1 + 1 - s)*(-2*s**2 + 0*s**2 + s**2))*(-4*s**2 + 4*s**2 + s**2).\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k**2 - 4*k**2 + 4*k**2. Let i = -2 - 7. Let x(g) = 2*g + 2. Let v(r) = r**2 + 9*r + 9. Let z(q) = i*x(q) + 2*v(q). What is z(t(j))?\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 6 = -1. Let a be (-2*(-12)\/(-20))\/(3\/290). Let m = a - -112. Let q(c) = 1. Let t(f) = -f - 2. Determine m*q(z) + x*t(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -6*j - 34. Which is the smallest value? (a) 0.1 (b) 3 (c) -2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 3*d + 9. Determine p(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6 - 4) + 1 - 3) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -15*o + 9*o. Which is smaller: o or -5\/122?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 7*j - 1. Let m be u(-5). Suppose s - 3 = 5*p + 12, 4*s + 12 = -4*p. Let b = m - p. What is the remainder when 33 is divided by b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 20*r - 39245 + 39869 = 0. Suppose 0 = 2*m - q + 5*q + 6, -3*m + 24 = -5*q. Which is the second biggest value? (a) -3 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -15*t - 14 - 7*t + 2 + 2. Let k be i(-7). Let h = -1294\/9 + k. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156187696 divided by -1816136?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5455991, -21823910, -49103767, -87295556, -136399271, -196414906, -267342455?\n\"Answer: r**3 - 5455975*r**2 - r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -451*m**3 + 10*m**2 - 2. Let w(x) = 3*x**3 + 5*x**2 - 1. Determine -3*r(c) + 6*w(c).\nAnswer: 1371*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61326, 61631, 61936?\nAnswer: 62241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 561, 4457, 10993, 20169, 31985, 46441?\n\"Answer: 1320*v**2 - 64*v - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(432) - (2*sqrt(432) + sqrt(432))).\nAnswer: -sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 5*z**2 - 4*z + 2. Let n be r(4). Let u(x) = -x**2 + 3*x - 2. Let j be u(n). What is the second derivative of 0*i + i + j*i + i**4 wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 197ce?\nAnswer: 197ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -o - 8. Suppose o - 26 = -4*c. Solve -2*w - g - 5 = 0, c*w = 4*g - 0*g - 32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k - 389*k + 57687 = -348238. Calculate the remainder when k is divided by 83.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/30 - 22\/(-10). Suppose 45 = k + 2*g, -48 = l*k - 3*k - g. What is the remainder when k is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 451 and 35057?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59\/15 - -238\/55. Calculate the common denominator of 30108\/2664 - 4*3 and h.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010864 to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 9*f + 11. Let v be j(8). Find the third derivative of i**5 - i + i - v*i**2 wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*c = 185*c + 180. Let z(n) = -n**3 + 12*n**2 + 4*n + 14. Calculate the remainder when z(11) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 43, -1, -4 in descending order.\nAnswer: 43, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*p**2*q**4 - 52442*p**2*q - 6*p**2 + 222658*p*q**4 - 13*q wrt q?\nAnswer: 144*p**2*q**2 + 2671896*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*d + 109*d = -3685. Suppose 316 = -2*h - 110. Let p = h - d. Is p a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*c = -16, -2*p + 3*c + 19 = -0*p. Let x = 5 + p. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99828 and 4779.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/25 (b) -401 (c) 0.2 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5772\/407 + (10 - 14) + -10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - -1)*2613\/335. Let i be ((-15)\/90)\/(1\/m). What is the nearest to 0 in i, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = 8. Let l be (-8 + o)\/(3\/(-18)). Calculate the greatest common factor of l and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6721*x - 396 = 6685*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71326196 a multiple of 440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = 5*u + 27. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 55*a**3 + 28*a wrt a.\nAnswer: 330*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 223 divided by 1.\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 5 - (22 - -20).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-7 + (-18 + 11 - (-2 - -51)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 14\/5*i**4 + 0 - 44*i**3 + 146\/5*i**2 + 12*i = 0.\nAnswer: -2\/7, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.7 + 17. Let y(m) = -m**3 + 5*m**2 + 6*m - 1. Let g be y(6). Let v be g + ((-2)\/4)\/(-1). Which is the closest to v? (a) -1 (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*b*l*p - b*l + 32*b*p - b - 287178*l*p + 2*p + 5125 wrt l?\nAnswer: -33*b*p - b - 287178*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2911 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182618, -1\/3, -3\/8 in decreasing order.\nAnswer: 182618, -1\/3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42839503 divided by -6119929.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82214)\/(-3434) + (64\/(-68) - -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -1436*m**2. Let r(a) = 48*a - 7. What is r(q(h))?\nAnswer: -68928*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-3)*45\/450.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -2*s**6\/75 + s**5\/25 + 16*s**4\/15 - 32*s**3\/15 - 75*s. Solve b(x) = 0 for x.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 + 25828*a + 83385698.\nAnswer: 2*(a + 6457)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36 by -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (144\/14)\/(8\/896*3). Let b = -213 + a. Calculate the least common multiple of b and 33.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212727*i**4 - 311134*i.\nAnswer: 2552724*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-1 - 1 - -3)*1774. Suppose 18*j + v = 22*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 699 - 689. Solve 5*r = c - 2*c - j, -5*c - 22 = -3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 1, l: 1, y: 3, f: 1}. What is prob of picking 1 f and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(200) + 2)**2.\nAnswer: 80*sqrt(2) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 79, 3.\nAnswer: 1, 3, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.769698 years in centuries?\nAnswer: 0.03769698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*s + 18, 4*t = -s - 18 + 72. Calculate the smallest common multiple of t and 1802.\nAnswer: 10812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.171+-0.016\nAnswer: -0.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q - 172 = -97 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/5269 - 15151\/1728232. Is c > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 75, 61, 31, -21, -101, -215?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -1. Let n be t\/(-6) + (-16)\/6. Let z = 16 - n. Solve -2*x - z = -4*d, -4*d = -2*x + 3*x - 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 - 147074*j\/3 - 9991784\/3.\nAnswer: -2*(j + 68)*(j + 73469)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 22736089 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11064 and 9925791?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from rmrrrrrrrrrrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 - 2. Let p = -1061 - -1060.5. Sort g, p, -28 in descending order.\nAnswer: g, p, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -24. Suppose 3*i - 5*i + 18 = 4*j, -i = -5*j + m. Put 5, j, 0 in decreasing order.\nAnswer: 5, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i + 9*i + 3*i = 1260 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Suppose q*u = -2*u + 150. Suppose 16*j = -30*j + 4094. Calculate the remainder when j is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -3) + (5 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13036.2 - -13038. What is the nearest to 0 in -6, -4, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-120)\/16)*9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 3420?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000110 - 1001011?\nAnswer: -11010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7674)\/(-510) + -8 + 16*413\/(-944)?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 6*v - v. Suppose 0 = q - v + 11. Calculate the remainder when 49 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -14\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddpddhpdhdhhdhph. Give prob of sequence ppdp.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/18)*i**(7\/6))**(-1\/17) assuming i is positive.\nAnswer: i**(-11\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 268128 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 335*u**2 - 9*u - 31. Is i(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 490.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p**1\/p))\/p))\/(p**(-1\/18)\/p)*(p**3*p)\/(p*p**(3\/2)*p) assuming p is positive.\nAnswer: p**(23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j*j\/(j**(-3)\/j))\/j)\/(j*(j**(4\/5)*j)\/j))**(11\/5)\/((j**(2\/3))**37)**11 assuming j is positive.\nAnswer: j**(-19492\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -681*q**3 - 149*q wrt q?\nAnswer: -4086*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 66?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56619.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -560118 = -80*n + 5110362. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*n + 5 = -3*u, -u - 3*n = 10. Suppose a - 2*q - 28 = -3*a, 0 = -a + u*q + 25. Solve 3*v - 12 = -5*t + v, a*t - 2*v = 28 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*l, -m + l = -4*l - 8. Is 255 - 4\/4*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\/59 in 0.2, -9, -27, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1 - 0)\/((-8)\/16) and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 2*w - 4, -w + 0*w - 7 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -15, 1.73793, 1 in decreasing order.\nAnswer: 4, 1.73793, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/((-90)\/(-120)))\/(-21))\/((-1)\/28)?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 127204782 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 f(o) = 2*o**2 + 6*o + 5. Let t be f(-5). Let d = t + -15. Let a = d - -10. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 55?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 + 276*a\/5 - 9522\/5.\nAnswer: -2*(a - 69)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*q - 255, -a + 3*a = -4*q + 250. Suppose 0*f - a = -f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -u + 6. Calculate the lowest common multiple of u and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -26, 5, -1 in decreasing order.\nAnswer: 5, 3, -1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 302*h**2 - 617*h + 5170. Calculate z(300).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.19 and -800.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 + -31. Which is the third smallest value? (a) j (b) -1 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29702885.26 to the nearest 100000.\nAnswer: -29700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 529, -0.5, 0.3, -34, 6 in ascending order.\nAnswer: -34, -0.5, 0.3, 6, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/(-600))\/((-1)\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -418807?\nAnswer: -418806.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53104 in 0.3, -833, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p)**(-2\/33)\/(p*p*((p*p**(-1\/22)*p)\/p)\/p*p*p\/(p*p**27)) assuming p is positive.\nAnswer: p**(1591\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 - 18*o + 4. Let p(t) = -6*t**2 - 45*t + 10. Let u(b) = -6*p(b) + 15*r(b). Let n(j) = -225*j**2 + 2. Give u(n(v)).\nAnswer: -455625*v**4 + 8100*v**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**2\/7 - 1188034*n + 8316240\/7 = 0.\nAnswer: -4158120, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3211 (base 7) to base 9\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -3*m, t = 4*t - 2*m + 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 108\/(-270) + 7\/5 + 2. Let t(h) = -4*h - 3. Let z be t(-2). Suppose 0 = -10*q + z*q. Solve q = -i*w + 9 - 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, -637, -4\/7, -505, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 261 = j - 0*j. Suppose 4*k - 74 = -18. Solve -k + j = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65617908 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162423\/36673 + 2\/5239. Let t = 2\/7511843 - -136099571456\/67606587. Let g = -2010 + t. What is the common denominator of r and g?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8075 and 22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 383 (b) 40\/3 (c) 3 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 55.6. Let h = -697299.3000049 + 697292.9. Let t = h + p. Round t to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k - 3*f - 65, f = -2*k + 26. Let w(g) = 3*g - 18. What is the tens digit of w(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/7 - 56199*c**3\/7 - 56202*c**2\/7 = 0. What is c?\nAnswer: -1, 0, 18734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 j, and 1 c when four letters picked without replacement from tsctstsmasmj.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -278. Suppose 3*b - 1174 + y = 0. What is the third derivative of -288*k**2 + b*k**2 + 7*k**5 + 0*k**4 + 0*k**4 wrt k?\nAnswer: 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*f - 2*d, -5*d = -5*f - 0*f + 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 335 + 3473?\nAnswer: 37a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 2. Let w be 3 - (c - 6\/3). Solve 0*x - r = -4*x + 23, -5*r = w*x - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 x, and 1 q when three letters picked without replacement from lbxxxqxlxumqqxx?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 83*c**2 - 451*c - 1191. Give l(-88).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - -1) + -3 + (7 + -4 - -5).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:06 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 20082.\nAnswer: 1124592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108530*y - 22736 = 108936*y for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4600522 (base 7) in base 6?\nAnswer: -20130431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 20, 10, -14, -58, -128, -230, -370?\n\"Answer: -t**3 - t**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 14. Let f(n) = 2*n + 8. Let t(z) = 7*f(z) - 4*u(z). Let o(m) = -14*m**2. Calculate o(t(y)).\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30*(-14)\/(210\/(-5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:16 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 10:51 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -14*b**3 + 2*b**2 - 6*b + 1. Let i(n) = -9*n**3 + n**2 - 4*n + 1. Let l(y) = -5*h(y) + 8*i(y). Is l(-3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*s**2 + 155*s**2 - 931 + 925 + 176*s**2 + 179*s**2.\nAnswer: -30*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, b: 1, k: 1, g: 1, p: 1}. What is prob of sequence kbrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110061 + 55033 + 55026 + 21*k + 5*k.\nAnswer: 26*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 5:52 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20322371663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-10))\/((-42)\/(-315)). Find d, given that -1\/5 - 4\/5*d**4 - 3\/5*d**y + d**2 + 3\/5*d = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 14*s**2 - 14*s - 21. Let f be x(15). Let c be ((-328)\/f)\/((-8)\/(-48)). Suppose r = c + 771. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 887 divide 85704601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9515.6 + 9516. Let z be (-2 - -2) + (-90)\/2. Let b be (-19)\/z - 6\/27. What is the closest to 1 in b, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**6*q\/((q**(3\/4)*q)\/q))\/(q**5*q**(2\/15)))**(-2\/9))**47 assuming q is positive.\nAnswer: q**(-3149\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -13. Suppose l*n = -11 + 36. Let p = -3 + 4. Sort -7, n, p in decreasing order.\nAnswer: n, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-2\/13))\/((j*(j*j**(1\/2))\/j)\/j) assuming j is positive.\nAnswer: j**(43\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -11*u**8\/1680 - u**4\/24 - 2*u**3\/3 - 3*u. Let d(r) be the second derivative of p(r). Differentiate d(s) wrt s.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -63, -98, -133, -168?\n\"Answer: -35*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**2 + 3. Let k(v) = -7*v**2. Calculate k(b(u)).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 20 = -2*z. Suppose 2*c - 18 = -3*q - c, q - 6 = z*c. Let r(d) = -d**2 + 10*d - 9. List the prime factors of r(q).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1882*r**3 + 2*r**2 + 2*r + 6. Let b be m(-2). Suppose 5*c = 32*c - b. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24592 and 288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172 + 6941*r - 3472*r - 3467*r - 1172.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 969584252 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.3 - 5. Let u = 1.1935 + 0.6065. What is the closest to u in -3, -3\/5, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 8*a**3\/3 + 4*a**2 - 4. What is the second derivative of c(i) wrt i?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*o + 5. Suppose a = -2*a + 2*m - o, -8 = a - 2*m. Let g = -4\/61 - 102\/305. Sort g, a, -1 in descending order.\nAnswer: g, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 7*t**3 + 44*t**2 + 561*t. Let y(a) = 6*a**3 + 45*a**2 + 560*a. Let j(n) = 5*r(n) - 6*y(n). What is the second derivative of j(w) wrt w?\nAnswer: -6*w - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/228)\/((-1429)\/81453)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 7763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1381 less than -1423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98 and 4.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-27)\/k**3 assuming k is positive.\nAnswer: k**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 23 = -c, -6*c + 3*c + 67 = -5*m. Suppose 111*v + 4*h = 116*v - 201, -v = 6*h - 81. What is the least common multiple of c and v?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559026?\nAnswer: 2, 3, 13, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 2}. Give prob of picking 2 q.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1290 (base 12) to base 5\nAnswer: 31444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 36 = -4*q. Let y be (q\/10)\/((-3)\/(-10)). Let h = 0.6 - -0.4. Put 3, y, h in decreasing order.\nAnswer: 3, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4482095, -4, -30, 5 in descending order.\nAnswer: 4482095, 5, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -30*z**2. Let f(u) = -285 + 94 + 190. Give -2*f(o) - s(o).\nAnswer: 30*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 0 + 1\/3*y**4 + 0*y**3 + 0*y - 1\/3*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -165.9 - 267.3. Let k = p + 482. Let o = k - 12.1. Round o to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4513516 (base 7) to base 10\nAnswer: -558319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4691 + -3824. What is the remainder when b is divided by 426?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 5*y + 26, -n - 3*n + 20 = -y. Let t be -4 - -2 - (-1 - n). Solve -3*d + 20 = t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9332*i**2 - i + 1 - 16*i**3 - 9340*i**2 - 9 + 18668*i**2 as d*i + o + a*i**2 + z*i**3 and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -10200070.\nAnswer: -1\/2040014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**2 - 2*p + 1. Let r(m) = m**2 - m. Calculate 3*r(y) - t(y).\nAnswer: -6*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 569755, 1140462, 1711169?\n\"Answer: 570707*h - 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*j + j, 0 = 2*c. Suppose j*h + 285 = 3*h. Let u = h - 7. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (268\/10)\/((-4)\/(-5990)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 8, -5, -0.07681?\nAnswer: -0.07681","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 5*h. Let d(c) be the second derivative of -c**4\/12 - c**3 - 7*c. Calculate -5*d(g) + 6*r(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 smaller than 1209931937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27)\/sqrt(9))**2*2 + (-2*sqrt(27))**2 - (0 + (sqrt(18)\/(sqrt(6) + 3*sqrt(6))*3)**2)) + -5.\nAnswer: 1717\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.911 - 37.711. Let o = v + 33.8. Let n = 0 + 3. Which is the closest to -0.1? (a) o (b) 2\/27 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 24*i**2 + 4*i + 1. Let z be o(5). Suppose -3*x + z = 3*g, -5*x + 3*g + 704 + 363 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*p + 24 = 0, 5*r - 4*p - 37 = -0*p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41949 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46552100 rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 16 + 47. Calculate the least common multiple of 465\/9 - 1 - (-21)\/z and 33.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -223902\nAnswer: -44780.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -30523*l + 61108. Determine b(2).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 3, g: 1, b: 3, h: 2}. What is prob of sequence bx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 63\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 75\/10*(-4)\/(-6). Suppose y = -2*g + 36, -w*g + 14 = -2*y + 95. Let t = 1 + 9. Calculate the remainder when y is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1201, -2032, -3345, -5134, -7393, -10116?\nAnswer: -13297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12*18\/24)\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x + 14111395685 - 14111395685.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12)*(-10)\/(-20)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-168)\/(-10))\/7)*1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 9*f + 1. Let b be x(-9). Is -7\/73 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**4\/12 + 15*p**2. Let z(t) be the first derivative of -3*t**2 - 4 + 2 + 6*t**2. Calculate z(h(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 16*j**3 + 10*j + 8. Let x(d) = d + 1. Determine b(k) - 8*x(k).\nAnswer: 16*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3*-1)\/((-72)\/(-3672)). Sort 0.2, x, -4.\nAnswer: x, -4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2. Let k(i) = i**3 + 13*i**2. Calculate 4*k(w) + 7*v(w).\nAnswer: -3*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -280665.86 - 5684.14. Let m = -286349.9640158 - j. Let i = -0.036 + m. Round i to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 6*d - 8. Calculate x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 162*c**2 - 3579*c + 11141. What is z(-182)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9.71618 - -0.71\nAnswer: -9.00618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/3*(-1362)\/4. Let r = d - -649. List the prime factors of r.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*(-3 + (sqrt(33)\/sqrt(3))**2) - (-4 + 6*(sqrt(11) + (sqrt(110)*-5)\/sqrt(10))**2)) + -2.\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -y + 4*n - 3, -3*n + 25 = 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -117\/7 (b) 4 (c) -4370\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 32. Is 6*(-10)\/x - -1769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 5, r: 5, n: 3, u: 1, q: 5}. What is prob of picking 1 g and 1 u?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 - -8.5. What is the fourth biggest value in -0.1, i, 4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.21 - -0.2. Let l = 0.61 - -0.39. Let w = 0.9 - l. Put w, -5, c in descending order.\nAnswer: c, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47\/2 - 24. Let s be (-3 + 2)*5\/10*-10. Let j = -4\/41 - -134\/533. Which is the nearest to -0.2? (a) j (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 - 3*n - 3. Let m be j(-1). Suppose -g - 51 = -4*z, -3*g = -g - m. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*p = 20, -5*q + q = -5*p - 47. Solve 3*d - 4 - q = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -12. Sort -3, 4, q in descending order.\nAnswer: 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10283 is divided by 2984?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 61.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(108\/16)*(-435204)\/(-17584).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20370520 is divided by 1566955?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 618, 1636, 2730, 3888, 5098?\nAnswer: 6348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*l - 166. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-6))\/((-6)\/18)*13\/(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -249371 times 93\nAnswer: -23191503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.165487 to 2 decimal places.\nAnswer: 136.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -3402.\nAnswer: 1\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 380, 533, 686?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101022221 + -122?\nAnswer: 101022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3675 and 3760554?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -13*j**2 - 14. Suppose 4*v - 12 = 40. Let c(k) = v*k**2 - 104*k + 13 + 104*k. Let a(o) = -6*c(o) - 5*l(o). Find the first derivative of a(h) wrt h.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -1\/10*b**5 + 55\/3*b**3 - 11\/2*b**2 + 0 + 0*b**4 - 148*b. Differentiate x(w) with respect to w.\nAnswer: -6*w**2 + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33616108 to the nearest integer?\nAnswer: 5798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/6)\/((-1518)\/(-88)). Is w > 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 25\/(-15)*-4*18\/48. Which is the closest to 0? (a) 2 (b) 4 (c) 4\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387651 is divided by 103?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 0 - 1 + 8*r - 4 + 7. Let o = 14 - 10. Let j(i) = i**3 - 3*i**2 - 5*i + 2. Let l be j(o). Determine a(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5764 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26300, -26311, -26316, -26309, -26284, -26235?\n\"Answer: i**3 - 3*i**2 - 9*i - 26289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -62*t - 184. What is the remainder when (12\/10)\/((-1)\/(-105)) is divided by n(-4)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -23. Let f be (-27)\/792 + 2\/16. What is the second smallest value in f, 3\/5, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + -4.98. Let n(k) = k**3 - 3*k**2 + k - 2. Let g be n(2). Let f = -2 - g. What is the second biggest value in j, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.1 + -7. Suppose -4*g = 2*z + 8, 5*z - 2*g - 8 = -5*g. Which is the closest to -11? (a) z (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/315*5 - 147830\/(-1890) - (-28)\/(-378)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 10*g = -8. Are -10 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 971.3315 days to nanoseconds.\nAnswer: 83923041600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - u**2 + u + 4. Let p be c(0). Let f be 18\/p*(-4)\/(-6). Let o(g) = -9*g + 5. Let h(b) = -4*b + 2. Calculate f*o(s) - 7*h(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -11. Let x be 1\/j + (-14)\/(-5). Let i + 3 - x + i**3 + 2*i**2 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u**2 - u - 1. Let r(q) = 7*q**3 - 8*q**2 + 9*q + 5. Let n(i) = r(i) + 6*z(i). Let x be n(2). What is the third biggest value in 2, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.035392*0.1.\nAnswer: -0.0035392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 9*o**3 - 11*o**2 - o - 3. Let u(z) = -5*z**3 + 6*z**2 + 2. Let n(b) = 4*f(b) + 7*u(b). Let l be 3 - 0*3\/9. Calculate n(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2. Let c(r) = 1 - 3*r + 0 + 4*r. Let l = 578 - 579. What is l*n(k) + c(k)?\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t - 88. Let c be g(23). Let v = -3 - -3. Suppose a + v*a = c. Solve -a*s + l + 28 - 6 = 0, -2*l - 19 = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8802 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i = 0, 10 = 2*m - i. Calculate the remainder when 17 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*2.1924\nAnswer: 19.7316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.8 and -11.\nAnswer: -96.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 684575*t**4 + 417113?\nAnswer: 2738300*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -223 + 207 - (-27 - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.031 + 0.1175. Round s to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 0. What is q in -9 - 6*q**2 + 16*q**4 + 1 + 12*q**3 - l*q - 4*q**4 + 3*q**5 + 2 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -19, -32, -59, -106, -179?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, z: 1, q: 2, x: 1}. What is prob of sequence xqz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.17219977793 + 1.1722. Round r to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159688304 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 54*r**3 + 2*r + 50*r**3 - 106*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 18, t: 2}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Let l = g + -4. Solve -4*i = -3*c + 35, l = -4*c - c + 5*i + 50 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 - (-2 - (-60)\/18).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5091, 6207, 7323, 8439?\n\"Answer: 1116*o + 3975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3.06 (b) -7\/45 (c) -32\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 130*t - 1795. Calculate the remainder when 1546 is divided by l(114).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 18, 9, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2*q*q**(-1\/9)*q)\/(q*q**1)**(-1\/2))\/((q**(1\/2))**(2\/11)\/(q**(-1)\/(q\/((q**(-7)\/q)\/q)))) assuming q is positive.\nAnswer: q**(-614\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271 - -251.7. Let c = -69.3 - b. Is 4\/7 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (12\/(-5) - -1)*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121410 divided by 1.\nAnswer: -121410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -308758545 - 377?\nAnswer: -308758922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 + 142 = 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 585 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 193546441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77084 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/15 and -49\/87.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*sqrt(612))**2.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48878*m**3 + 2*m - 2*m.\nAnswer: 48878*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(931) + -1 + sqrt(931) + sqrt(931) + sqrt(931) - sqrt(931)))**2 + sqrt(931) + 3 - (1*(5 + sqrt(931) + 0))**2)*1.\nAnswer: -231*sqrt(19) + 7442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -55*t**2 - 8*t - 5. Let z(f) = 55*f**2 + 10*f + 6. Calculate -5*j(r) - 4*z(r).\nAnswer: 55*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = -d + 1, -2*k - 389 = 2*d - 391 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30041 and 1727.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 534*c - 126. Is y(2) a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/((-2)\/4).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*m + 5*d = -40, 4*d - 2516 = 3*m - 2517 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 - -10473?\nAnswer: 10526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -52. Solve -z*x + 20*x + 20 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 5*i + 378. Let m be h(0). Let n = -305 + m. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**6)\/h)**17*(h**(3\/2))**40 assuming h is positive.\nAnswer: h**196","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*j = -16479 + 12179 for j.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 232\/(-7917)*-52*3*1*(-18)\/(-18)?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1580 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-160) - (-2)\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 32*y + 20. Let i(x) = 3*x + 1. Let l(q) = -3*g(q) + 30*i(q). Calculate the remainder when l(-11) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y = 63. Calculate the remainder when 30 is divided by ((-6)\/5)\/(y\/140).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4\/5, -2\/2083, 365, -0.5, 0.1, -2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4186 - 99*s**2 - 73*s**2 + 4186 + 210*s**2.\nAnswer: 38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 34, 0.275, -4\/7, -4, 1\/4, -3, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009176266 to 7 dps.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) 1 (c) -2\/7 (d) -0.035 (e) 2\/11 (f) -0.302\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**4 - 3*d**3 - 8*d**2 - 3. Let h(b) = b**4 + b**3 + 1. Let p(a) = 3*h(a) + u(a). Find s such that p(s) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 268105404 and 3108.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, x: 1, m: 1, r: 1}. What is prob of sequence xkz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 306759319 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450 and 8910.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -52192 divided by -13048\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 668.99846 + -669. What is t rounded to four decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 2, 1, -104, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -26074.384 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -12*r**4\/13 + 958*r**3\/13 + 1146*r**2\/13 - 958*r\/13 - 1134\/13 = 0.\nAnswer: -7\/6, -1, 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 1 s when three letters picked without replacement from hhpppcgpgpspccsshp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26980000 rounded to the nearest 1000000?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-181)\/2 - 10\/20. What is the tens digit of (-3)\/(-7) - 2964\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 46*x**2 - 6*x + 246. Let n be g(46). Let m be 9 + n\/5 + 7. Calculate the highest common factor of m and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**27)**(-4\/13)*(u*u\/u**(-2\/9))\/(u\/u**(-22)*u*u) assuming u is positive.\nAnswer: u**(-3637\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 n, and 1 y when three letters picked without replacement from kyljn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 4*t - 5*t + 1 - 7*t - 2*t + 5*t - 2 + 2 - 2*t + (0 - 1 + 0)*(5*t + t - 4*t) to k*t + q and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9aa1a (base 12) to base 8.\nAnswer: -621066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -203984290 to the nearest 10000.\nAnswer: -203980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43895 = -5*c + 10*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2919 rounded to the nearest one hundred?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000111111101000010101 - 110?\nAnswer: -100000111111101000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -9. Let s(w) = -20*w + 11. Let q be s(5). Let l = -41 - q. Calculate the least common multiple of l and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - ac132b?\nAnswer: -ac132c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118 - -329. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2065619 times 2?\nAnswer: -4131238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356, 218, 66, -106, -304, -534?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 14*h**2. Let q = -52 - -45. Let s(v) = 5*v**2. Calculate q*s(j) + 2*p(j).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*1*6) + sqrt(171))\/((sqrt(72)*5)\/sqrt(8) - sqrt(9)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2351 a factor of 347247402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**2 - 7549. Let o(r) = 451*r. Calculate o(d(j)).\nAnswer: -1804*j**2 - 3404599","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4110706 is divided by 423?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -16083, -47129, -93093, -153969, -229751, -320433, -426009?\n\"Answer: s**3 - 7465*s**2 - 8658*s + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - 40. Which is bigger: g or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 4*o**2 + 0 - 1\/672*o**8 + 0*o + 1\/120*o**5 + 0*o**4 + 0*o**3 - 1\/80*o**6 + 1\/140*o**7. Factor z(j).\nAnswer: -j**2*(j - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -2.1. Let q = -8 - -8.3. Let w = 0.2 - q. Which is the closest to w? (a) k (b) -2 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228618 to the power of 1\/2, to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 109720222*a - 87174264?\nAnswer: 109720222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2711625043.\nAnswer: 23, 1229, 95929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - (-4)\/((2 + -6)\/(-2)). Suppose w - z*w + 4*y + 110 = 0, w = -4*y - 2. Calculate the lowest common multiple of 16 and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2620 and 1100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**3 + 3*f**3 + f**3)*(-f - f + 3*f + (4 - 3 + 2)*(f + 4*f - 3*f) + 2*f + 0*f - 3*f) as i*f**3 + l*f**2 + t*f**4 + u*f + p and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -1972*s - 193264. Give a(-98).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 94086 - 150314. Round b to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6970 = -932*j + 235*j. Let w = 35 - 13. Suppose -2*v + w = -0*v. Calculate the least common multiple of j and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169 + 3*w + 6 - 6 - 2*w.\nAnswer: w + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 27\/18 - (-178)\/(-4). Let f = m - -49. What is the highest common factor of f and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 36?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1313)\/(-2093) - -4*(-12)\/(-552)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (68 + -3 + 2)*15\/(-6). Let u = -165 - v. Which is the fourth biggest value? (a) -0.2 (b) u (c) 2\/7 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52)\/(-78) - 1654\/6. Let x = -166 - o. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 254086*h - 2032689. Determine k(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwwwwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*w + 3*t, -10*t = -5*w - 15*t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421032*m**2 - 210720*m**2 - 210283*m**2.\nAnswer: 29*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(400)\/sqrt(8))\/(sqrt(810) + sqrt(810)*-4 + sqrt(810))*-3.\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*y - 85 + 40 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23556 - -23967. Calculate the remainder when 1236 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 10 = 0, -l - l = -2*a + 14. What is the remainder when 5 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -779*y**4 + 567*y**2 - 106*y**2 + 4*y + 780*y**4 + 1 in the form h + v*y**2 + a*y**4 + b*y**3 + d*y and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -2*d - 5\/2*d**2 + 1\/12*d**4 - 1\/6*d**3 + 0. Give k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**4 + 0 + 0 + (5 - 2 + 0)*(2*n**4 - 2*n**4 + n**4) - 18*n**3 + 18*n**3 - 8743*n**4 + 1477*n**4 to j*n**4 + g*n**3 + r*n + d*n**2 + y and give j.\nAnswer: -7265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/95*(-14)\/(-252)*12?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 33*d**4\/16 + 9*d**3\/4 - 3*d**2\/4 + 2. Let c(k) = 0. What is k?\nAnswer: -1, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(220))\/sqrt(5))\/(sqrt(28)\/(sqrt(21)\/sqrt(3))) + -3*sqrt(396) + sqrt(11)*3*5.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06443 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7*k - 20, 0 = -3*w + k - 265. Let u = -86 - w. Let m be (-3 - 2\/(-6))*-3. Calculate the greatest common factor of u and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4. Let x be 1 + (-28)\/126 + 15251\/(-180). Let y = -84 - x. Which is bigger: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8053.509 days in minutes?\nAnswer: 11597052.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**5 + 9*j - 6. Let n(r) = -r + 1. Let b(u) = 6*n(u) + x(u). Find the second derivative of b(o) wrt o.\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69\/28 + -9\/4. Calculate the common denominator of t and (-85)\/(-20)*(-4)\/11.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 199?\nAnswer: 5\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 0*h + 2*h)*(-3*h + 0*h + 2*h) - 416264 + 416264 + 80*h**2 - 2*h**2 + 3*h**2 - 3*h**2.\nAnswer: 79*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-9)*m**(-1\/8)*(m*m**4)\/(m**8*m) assuming m is positive.\nAnswer: m**(-97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**3 + 0*o**3 - 2*o**3)*((-3 + 4 + 0)*(13302*o + 2662*o - 3377*o) + 2*o + 3*o - 4*o) as l*o + p*o**2 + m*o**4 + y*o**3 + t and give m.\nAnswer: -12588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*t + t - 3 = 0, 4*t - 4 = w. Suppose -3*y + 47 + 442 = w. Let n = y + -36. Calculate the remainder when n is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 2*q - 37*q**2 - 7*q**3 - q + 35*q**2 as l*q**3 + s + f*q + z*q**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288 by -32.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/15 (b) 14.717 (c) -3\/4 (d) 3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -21539\/16 bigger than -1347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 10 + -10 + 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q + 6. Suppose -w + 4 + 1 = 0. Suppose -5*s - 6*z + 3*z = -22, -5*s + 20 = w*z. Let j(v) = 2*v + 5. Calculate s*j(k) - 4*n(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2485349*a + 491526.\nAnswer: 2485349","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -141 (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 733222414.\nAnswer: 2, 37, 9908411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -1)\/((-1)\/35). Let p be 1526\/42 + (-1)\/3. Which is smaller: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -4 (c) -3 (d) -11 (e) -72 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**6\/5 + z**2 + 5*z. What is the derivative of o(p) wrt p?\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463 + 34.9?\nAnswer: 1497.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 400.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**3 + b**2 + 2*b + 72. Let o = -49 + 49. Does 8 divide x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2746881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 6, 0, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*p**3 - 5*p**3 - 1639*p + 1634*p.\nAnswer: -7*p**3 - 5*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*o**2 + 47*o**2 - 37*o**2 + 48*o**2.\nAnswer: 124*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b**(-7)*b)\/b)\/b*b)\/(b**(-1\/2)\/b)*(b*((b**(6\/11)\/b)\/b)\/b)\/b**(-3\/4)*(((b**(-2\/5)*b)\/b)**(-46))**(7\/5) assuming b is positive.\nAnswer: b**(22611\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*f = 126, -u - 42 + 175 = 3*f. Let z be 2\/4*u\/13. Solve 0 = -3*k - k + z*p + 8, -2*k + 3*p = -4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r*r*r*r\/((r**(-3\/5)*r)\/r)*r*r*r)\/r)\/(r*r\/(r\/r**12*r)*r)*(r*r**(14\/9)\/r)\/(r\/r**(-14)) assuming r is positive.\nAnswer: r**(-803\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/6*(-1 - 7). Suppose 0*j - j - d*z = -14, 2*j - 2*z = -22. Let b(a) = -a - 2. Let s be b(j). Solve 6*x = -s*t + 2*x, x - 8 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1558 + -1492. What is the remainder when r is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 5*r - 172 + 159, -31*r + 12 = -35*r for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/9*(-42)\/(-35)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -2\/5, 71, 43.7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -6*r + 0 + 1\/6*r**3 + 0*r**2. Let p(l) = 3*l**2. What is p(o(g))?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) + (1*sqrt(6048) - sqrt(6048)) + sqrt(42))\/(sqrt(48)\/((-2*sqrt(8) - sqrt(8)) + sqrt(8))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/(((-36)\/(-24))\/(3483\/(-54)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + sqrt(704) + (sqrt(704) + -2 - sqrt(704)) + 2 + 3*(1 + sqrt(704))**2 + sqrt(704) + (sqrt(704) - (sqrt(704)*-1 + 5)).\nAnswer: 80*sqrt(11) + 2114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 152*m**3 - 2*m**2 - 2*m + 150.\nAnswer: 912*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3627 = 6*q. Calculate the greatest common factor of 26 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 91293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369900 divided by -540.\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260*j - 2825*j - 656*j = -49369 + 319606 for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -138*q**2 - 3*q + 2. What is v(1)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - 3*x)*((-1 + 3 - 4)*(2 - 1 - 2) - 5 + 14 - 10).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -7, 2, 12 in decreasing order.\nAnswer: 12, 2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -43420?\nAnswer: -43421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-12)*-9 + 12. Let u be 1\/v - 352\/1344. What is the closest to -0.05 in 0.2, 2\/23, 0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*w**2 + 983*w**2 + 242*w**3 + 809*w**3 wrt w.\nAnswer: 6306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 68*x + 449. Let c be l(3). What is the greatest common factor of c and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 541262 (base 10) to base 2\nAnswer: 10000100001001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.1678214 kilometers?\nAnswer: 16782.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 a, and 1 y when four letters picked without replacement from {a: 2, y: 1, t: 2, d: 2, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6558, -13115, -19676, -26241, -32810, -39383?\nAnswer: -45960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 10\/3. Let h = 943\/332 + -215\/83. What is the nearest to 4\/3 in -3, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.405 + -0.695. Which is the biggest value? (a) 7 (b) -0.2 (c) l (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -576, -2326, -5244, -9330?\nAnswer: -14584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.728 times -13.12?\nAnswer: -22.67136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11786 + 11788. Which is the nearest to 0.1? (a) -2\/11 (b) p (c) -4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8697 + -53.\nAnswer: -8750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -244*o**2 + 26*o - 1198 - 13 - 26*o - 1481 wrt o.\nAnswer: -488*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18073.41 hours to milliseconds.\nAnswer: 65064276000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**4\/24 + 7*h**3\/6 - 4*h**2. Let u be b(5). Solve u*k + 8 = 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20472, 161600, 544660, 1290618, 2520440, 4355092?\nAnswer: 6915540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from zsttttttostszssztts.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.3172 times 0.06\nAnswer: 0.019032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 2*w**2 + w - 6. Let h be p(-3). Suppose h*f + 3*f = 2712. Suppose -18*v = -10*v - f. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 38. Does 5 divide (45\/25)\/(b\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -487603*u**2 + 965139 wrt u?\nAnswer: -975206*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 110313 (base 4) to base 8\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 - -1 - (179 - 213)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - (60 - 47) - 52 - -146.\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3622033481 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4608, 9212, 13818, 18426, 23036?\n\"Answer: t**2 + 4601*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 347.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6182.164664 to the nearest one hundred.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**4\/4 + n**2\/2 - 2. Let v be h(1). Let t be (3\/6*v)\/(-1). Solve -5*q + 4*q = t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**4\/4 - 2*g**3\/3 + g**2\/2 + g - 18. Let r be p(0). Suppose 2*c = 17 + r. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 8 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25058.7714 rounded to the nearest 10?\nAnswer: 25060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times 0.120701?\nAnswer: 2.896824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1847*n**2 + 1254*n**2 + 8800*n**2 + 4674*n**3 - 529*n**3 wrt n?\nAnswer: 24870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**6\/15 - 5*d**3\/6 + 4*d - 1. Let p(m) be the first derivative of j(m). What is the second derivative of p(f) wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 0.24.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3300085 and 1407.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**5 - 8*q**4 + 12*q**3 + 32*q**2 + 16*q = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 8 - 35. Let n = 0 + k. Calculate the highest common divisor of 99 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 346 - 346.3. What is the third smallest value in 0, 1\/4, 1.1, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x**2*x)*x*x*(x*x\/(x\/(x\/(x*x*x**9*x*x))))\/x*(x*x\/(x**(2\/17)\/x))**(-23) assuming x is positive.\nAnswer: x**(-1314\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 0 + 2573*y - 2575*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115? (a) -0.2 (b) -2\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -662, -1334, -2004, -2672, -3338, -4002?\nAnswer: -4664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 5*x**2 + 8. Let y be b(5). Suppose -2*m - 2274 = -y*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011101000001110 (base 2) in base 10?\nAnswer: 277006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 847 and 605?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 3140 = -13*a. Calculate the common denominator of -2 - (4\/26)\/(16\/a) and 41\/22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 429, 2398, 4367, 6336, 8305, 10274?\n\"Answer: 1969*w - 1540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 498 = 3*x + i, -4*i + 183 = x. Let p = x + -167. Sort 0, p, 17 in descending order.\nAnswer: 17, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 9*v**3 - 7*v**2. Suppose -4*t = -5*t + 7. Let j(x) = -8*x**3 + 6*x**2. What is t*j(s) + 6*q(s)?\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z*z**(-30)))\/(z\/(z*z*z**(-22\/3)\/z)) assuming z is positive.\nAnswer: z**(65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -423153344 divided by -64.\nAnswer: 6611771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (348\/261)\/(2*(-8)\/348)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14598743 and 45063.\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 2*w - 7. Let a be z(0). Let o(l) = l**2 + 7*l + 8. What is o(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101 + 101021222?\nAnswer: 101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (-1*sqrt(98))**2 + 4).\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 9) to base 14\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 - 6*u**2 - 8*u**2 + 0 + 0 + 2*u**2 + (-2*u + 2*u - 2*u)*(u - u - u) - 2*u**2 - 2*u**2 + 3*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**2 - 7*o - 2. Let j be v(-6). Let u = j - 3. Solve u*h - 6 = 4*t, 0 = t + 3*t - 4*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 232 - 35 - 0\/(-2). Let y = t + -122. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*l - 3*d, d - 52 = -15*l + 12*l. Let i = 6 + -10. Let p be (4 + -1)*i\/(-6). What is the highest common factor of p and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04769 take away 2?\nAnswer: -1.95231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 80705.47 days?\nAnswer: 6972952608000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -2)**2 + 0.\nAnswer: -8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v**3 + 5*v**2 + 6*v + 6. Let r(d) = d**3 + d**2 + d + 1. Let m(y) = g(y) - 6*r(y). What is the third derivative of m(q) wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 0*a + 5 = -0*a - a - 20, 5*r - 65 = 5*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -74244.607 to the nearest one thousand.\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 4202 + -1912. Suppose 0 = -5*m - 4*b + 21237 - j, -2*m + 4*b = -7562. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, -2, 6, 38, 100, 198, 338, 526?\n\"Answer: s**3 + 3*s**2 - 26*s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 121480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*p + 2 = 0, d - 92*p + 90*p = -2. Let c = 9 + -4. Put d, c, 21 in descending order.\nAnswer: 21, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/(162\/(-92064)) + 11 - (-2)\/18 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n + n - 3*n. Let h(s) = s. Give h(x(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 23*g - 112. Let l be (-6)\/g*-2*28528\/(-330). Let d = l + -278\/15. Do 1 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h - 13*h + 1702. Let a(o) = -149*o - 2*o**2 + 75*o + h*o. Let c(n) = 55*n. Determine c(a(d)).\nAnswer: -110*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 7*d**2 + 7*d - 1. Let q be b(-6). Calculate the common denominator of 625\/(-250)*((-22)\/55)\/(48\/62) and 2\/q + (-1126)\/420.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -113, 293, -390 in descending order.\nAnswer: 293, -1, -3, -113, -390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28250, -28221, -28142, -27989, -27738, -27365, -26846?\n\"Answer: 4*o**3 + o**2 - 2*o - 28253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 14. Let f = -21 + 20.99. Put f, u, 1 in descending order.\nAnswer: u, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4013 (base 5) in base 4?\nAnswer: -13330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 6*b - b - 5*j, -j = -4. Let z(n) = 9*n**3 - b - 4*n**3 - 1 - 4*n**3. Let k(o) = 4. What is 3*k(c) + 4*z(c)?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47)\/564*(-160 - 14).\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4652739, 9305476, 13958213, 18610950?\nAnswer: 23263687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6934\/265 + 1514\/53. Determine l, given that 2*l**4 - 26\/5*l + 26\/5*l**3 + n - 22\/5*l**2 = 0.\nAnswer: -3, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 9:42 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3105.4 - -3105. Let x = -0.03 + -0.01. Put -0.5, -4, x, o in decreasing order.\nAnswer: x, o, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7190.49 and -0.1?\nAnswer: 719.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 + 4*n + 6. Give i(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.01, -41, 0, 9, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2694, 2683, 2672?\n\"Answer: -11*r + 2705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 496 and 128.\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2 = -4*p, 4*p - 30*d = -35*d + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -0.5 (c) -2 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/24*4\/(-2)*-2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/29118 and 26\/20038037?\nAnswer: 120228222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 3 - 3)*(-21*a**2 + 6*a**2 - 5*a**2).\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5533*w = -1755*w + 609*w + 169637 + 44091 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**5\/20 - i**4\/2 + i**3\/3 + 9*i**2\/2 + 283*i. Calculate a(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 527135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-28)*1*-7. Sort k, -2, -4.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 230*w**2 + 23*w - 23. Let d(z) = -21*z**2 - 2*z + 2. What is -46*d(r) - 4*t(r)?\nAnswer: 46*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/3*i**2 - 50\/3 - 20\/3*i = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-3)\/(1 + 2)). Let q = 9515 - 9512. Solve -q = -o - c*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 240 + -238. Suppose 5*d - 5*r = 5600, -3*d - i*r + 6*r + 3360 = 0. Calculate the highest common factor of 32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 8)*(-11 + 13*c**3 + 11)*(2*c + 5*c + 17*c) - 2*c**4 - 2*c**4 + 2*c**4 + 2*c**2 - 3*c**4 - 2*c**2.\nAnswer: 1867*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132221 (base 4) to base 11.\nAnswer: -1523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 273411419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c16 - 121?\nAnswer: 2ac5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lccc when four letters picked without replacement from {c: 3, l: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1821 + 4945. What are the prime factors of c?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, f: 4, c: 1}. Give prob of sequence cyy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 8. Suppose -z*d - 5*l = -72, 0 = d - 4*l + 2*l - 5. What are the prime factors of d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-2 - (-24)\/10) is divided by (7 - 1) + 20\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*w**5\/4 + 13503*w**4\/4 + 189151*w**3\/4 + 731445*w**2\/4 + 93226*w + 12789 = 0. Calculate w.\nAnswer: -261, -7, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 129052 by -7.\nAnswer: -18436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70052679?\nAnswer: 3, 7783631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -384.8 - -385. What is the nearest to 5 in -2, h, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12088994733 rounded to the nearest 1000000?\nAnswer: -12089000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 538 + 148. Let y = z + -714. Which is the third smallest value? (a) 0.2 (b) y (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 10*x - 480. List the prime factors of -33 + 28 + x*41.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n**3 - 14*n**2 - 53*n - 656. Give d(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8677.233 micrograms?\nAnswer: 0.000000008677233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 + 121*j - 121*j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from yccc.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 38*i**3 + i**2 + 2*i - 3. List the prime factors of s(2).\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h + 1. Let t(o) = -22*o - 10. Let i(y) = f(y) + t(y). Let d(q) = -q**3 + 11*q**2 + q - 14. Let j be d(11). List the prime factors of i(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4926738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*p - 1 = 0, 4*g = -p - p + 6. Let y(k) = k**2 + 0 + g - 2*k + 5*k. Let c be y(-3). Solve -t = c - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.0123 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -28. Suppose -3*f + k = 3. Suppose 3*b = -4*i + i + 12, -f*i = 4*b - 12. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19583.\nAnswer: 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = -3. Let g be ((-224)\/336)\/((-1)\/3). Factor -53*p**f - 30 + 58*p**g + 0 + 5*p.\nAnswer: 5*(p - 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 10:05 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 76.385.\nAnswer: -38.1925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1338 and 30.\nAnswer: 6690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n + 12. Let z = n + 8. Suppose 3*w = -4*u + 24, 0*w + 2*w - z*u = 39. What is the remainder when 21 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(315) - sqrt(315))\/sqrt(5) + -1 + -2*sqrt(28))*1 + 3.\nAnswer: -16*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 1.177\nAnswer: -0.3531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.326495 + 89.326383. Let j = 88 - x. What is j rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 7?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 4*c**2 + 3*c + 15. Suppose -5*k = -0*k + 20. Let h be g(k). Suppose h*q - 10*q + 91 = 0. Calculate the remainder when 37 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 2:35 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3679 rounded to the nearest one hundred?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 19*r**3 - 13*r**2 + 54*r - 82. Let u(b) = -66*b**3 + 39*b**2 - 161*b + 247. Let t(m) = -21*q(m) - 6*u(m). Suppose t(o) = 0. What is o?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -33*t**6 - t**2 + 3*t + 574. Find the second derivative of i(p) wrt p.\nAnswer: -3960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*t**2 - 5 + 18*t - 1 + 6 wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218934 = -29*r + 194519. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-630)\/931 + 5\/(95\/2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10062 - 10062. Which is bigger: 7658 or i?\nAnswer: 7658","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j - 27*j**2 - 13*j + 21*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(-1)\/(-25)*(-15)\/78.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 1. Let p = 143 + -100. Suppose 3 - p = -5*x. Calculate the smallest common multiple of x and w(10).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -191818?\nAnswer: 191814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((6 - 4) + -10 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 3287440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6293 = -2*q - 6307, 8*l - 4*l - 5*q - 15 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331017.\nAnswer: 3, 110339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -15*v**2 + 2. Let i(j) = 1175*j + 210. Let l(m) = 261*m + 53. Let q(u) = -2*i(u) + 9*l(u). Determine f(q(o)).\nAnswer: -15*o**2 + 1710*o - 48733","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7326347 litres?\nAnswer: 732.6347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-814)\/209 + 11\/((-209)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 21) + (-577 - -516)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -27 (c) -1\/5 (d) 43\/3 (e) 7 (f) -1 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 368008800 to the nearest one million.\nAnswer: 368000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -37828.\nAnswer: 3\/9457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 k, and 2 z when four letters picked without replacement from aqakqzww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 36 (c) -8\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17014*l**3 - 17915*l**3 + 4914*l**3 + 6394*l**3.\nAnswer: -23621*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 265, -5, -0.01, 37\/6?\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -4\/339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -4*v**4 - 34*v**3\/3 + 30. What is the third derivative of g(c) wrt c?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b94 (base 14) to base 3\nAnswer: 10010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 3. Let q be t(-4). Suppose 0 = 2*m + 4*n - 8, -m - 4*n + 3 = -3. Suppose -2*x = m*r + 4, 7 = q*r - 3*x - 23. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11617, 23267, 34917, 46567, 58217?\n\"Answer: 11650*f - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + j**4 + 13*j**2 + 0*j**4 - 24*j**2 - 8*j**2 - 2*j**3 in the form r*j**2 + w*j**3 + d*j + l*j**4 + n and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21195347 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -205651*g**2*r**2 - 4307861*g**2*r + 3*g*r**2 + 9*r**2 - r wrt r.\nAnswer: -411302*g**2 + 6*g + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - ((-10)\/15)\/(7\/39). Which is the second biggest value? (a) 6 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 4*b + 1. Let t be u(-5). Let o(w) = -t*w + 6*w + 8*w**2. What is the units digit of o(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97*b**2*r**4 + 3*b**2 - 186365*r**2 + 59963448*r wrt r.\nAnswer: -1164*b**2*r**2 - 372730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 3*c - 3. Let y be v(3). Suppose -y = -4*i + 4*j, 5 - 23 = -5*i + 2*j. Solve i*k + 8 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 2. What is q(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 25. Suppose -4*y + 3*c = -48, -y - y + c = -v. Find the common denominator of (-4 - 201\/y) + 2 and 5\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:49 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3237954mg in tonnes?\nAnswer: 0.0000000003237954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20061 + -1?\nAnswer: -20062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91 - 91. Let u be 12\/(-30) + 29\/110. Is m at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 9*c**2 - 7*c - 7. Give j(-6).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477170510.\nAnswer: 2, 3, 5, 61, 807197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 780\/(-351)*(-1161)\/215?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 118\nAnswer: 9\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8804327 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 6*x + 4*x)*(-x**2 + x**2 - x**4) + 9*x**2 + 15*x**2 - 23*x**2 - 5*x**5 - 6*x**3.\nAnswer: -x**5 - 6*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 1)*(3*l - 5*l + 4*l)*(3*l - 4*l - l)*(-1 + 1 - 1) to the form i*l + x + a*l**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75\/4? (a) -8 (b) 0.3 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 - -0.07. Let v = z + 1.07. Let m = v + 1.8. Sort -0.04, m, 5.\nAnswer: -0.04, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**15)\/(q\/q**(14\/3)*q*q) assuming q is positive.\nAnswer: q**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 16*d**2 - 5*d + 12. Determine m(15).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1013 or 21260\/21?\nAnswer: 21260\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3)\/z)\/(z**(-2\/11)*z))**(40\/3)\/((z**(-1\/2)*z)**(-34))**(-16) assuming z is positive.\nAnswer: z**(-28888\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 696 + 2*c**3 - 305 + 16 to the form n*c**3 + r + t*c**2 + v*c and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 231.7057 to 1 decimal place.\nAnswer: 231.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t - 39. Let v be s(6). Solve y - v*u = -16, -2*y - u = u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-3 + 2) - 1. Let r = z + 2. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 4*h = 1, 5*z + 2234*h = 2227*h - 18 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-20)\/(-6) - (-2)\/3 and (-20)\/(-50) - (-33)\/5.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*27*12\/(-72).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 6 = -5*g. Let l be 2\/g - 3\/((-45)\/65). Suppose 0*s - 64\/3*s**3 - 154\/3*s**4 - 8\/3*s**2 + 0 - 98\/3*s**l = 0. What is s?\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*q - 113 = 229 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 1. Let x(t) = -20*t + 22. Let d(b) = -88*l(b) + 4*x(b). Let h(w) = -1 + 6612*w - 6614*w + 1. Determine h(d(a)).\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 5*k**2 + 7*k + 8. Let a be i(-6). Let h(n) = -n**2 + 5*n. Let d be h(5). Let l = 2 - d. Solve 0 = a*x + 3*p + 25, 0 = l*x + p + 3 + 12 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5*u - 71 = 0. Suppose 3*l + u = 5*b, 2*l + 9 = 2*b - 17. Let q be 18 + (-4)\/(b\/(-4)). Solve 2*g + 2*n + 0 - 12 = 0, -3*n = 4*g - q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 16*r + 32. What is v(-14)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 - 18045\/315)*63\/18.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 = 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*2\/7)\/((-54)\/42)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103 by 8.\nAnswer: 103\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 14*p - 30 = 5*z, 5*p + 4*z - 87 = 0. Suppose 14 = -2*t + 4. What is the remainder when p is divided by (-43)\/(-5) + (-2)\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 11*s**2 + 7*s - 126. What is the remainder when b(12) is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = -6*m + 13*m. What is the remainder when m is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2375*i + 1191*i + 1183*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50508 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r. Let l(b) = -2651*b**2 - 19*b + 19. Let h(o) = 883*o**2 + 6*o - 6. Let a(j) = -19*h(j) - 6*l(j). Give a(f(w)).\nAnswer: -7839*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 17, w: 1}. Give prob of sequence wrrr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 10*j**2 - 9*j + 2. Let c be o(-9). Suppose -c*u - 15 = 1. Is u bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000135562364 to 6 dps.\nAnswer: 0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/9 + (-6)\/27. Let s(a) = -7*a - 2. Let h(r) = -r + 1. Let t(w) = 4*h(w) - s(w). What is the remainder when 89 is divided by t(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 times -197?\nAnswer: 25019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 720.2 - 720.2. What is the second smallest value in 16, g, 280\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318 is divided by 55?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239628 + -4.\nAnswer: 239624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13087 is divided by 230?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.08 (b) 154597\/3 (c) -0.06 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 150529241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ucx when three letters picked without replacement from dcuxxdcxfpfx.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4535374293?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3950*0.5\nAnswer: 1975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, 2\/5, -0.15, -85.59?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5 - 104*x**4 + 114*x**3 + 416*x**2 - 424*x = 0. Calculate x.\nAnswer: -53, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 8*l = 5*j + 16 + 149, -3*j + 6*l - 209 = -5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, -2, 3, -5, -178, -4 in descending order.\nAnswer: 3, 0, -2, -4, -5, -13, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbccbc. Give prob of sequence bc.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10869, 43438, 97719, 173712, 271417, 390834, 531963?\nAnswer: 694804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352403 is divided by 2823?\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104712919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 10*v + 14*v + 2522 = 0, -5*v - 12580 = -5*n. What are the prime factors of n?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -56\/17, 3, 4, 5, 943?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**3 + 2784428*x**2 - 9237685*x?\nAnswer: -12*x + 5568856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 478*l**2 + 2 - 1206*l + 1206*l to the form y*l + q + b*l**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 68677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**2 + 474*k**5 - 473*k**5 - 24*k + 8*k**3 + 8*k**4 + 9*k**3 = 0?\nAnswer: -4, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13104548 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l. Let c(h) = -484*h**2. What is u(c(t))?\nAnswer: -6292*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064877567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 10*w**2 + 55*w + 401. What is u(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvccntentcvpcn. Give prob of sequence nntv.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4760 and 560.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/15 + 346*s**4\/15 + 52262*s**3\/15 - 163186*s**2\/15 - 35508*s = 0. What is s?\nAnswer: -99, -2, 0, 5, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15231754?\nAnswer: 2, 7615877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000013047 rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -445*j + 13 - 27 + 5902*j - 6. Is o(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -19, -3, 13?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 16, 45, 92, 157, 240, 341?\n\"Answer: 9*j**2 - 16*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4352842*2.2.\nAnswer: 9576252.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 469492 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 39. What is the remainder when o\/8*(-6)\/6*-60 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c - 60*c + 693342 = -22*c. What are the prime factors of c?\nAnswer: 3, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m - 42 = -4*d, 3*d + m = 34. Let v be (d\/(-16))\/((-27)\/(-24)). Let l = -0.2 + 0.1. What is the nearest to l in 2, v, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = 5*x, 5*d + 3*x = 19. Put -1\/5, -1, 0.3, d in increasing order.\nAnswer: -1, -1\/5, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 9:23 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w - 0*w. Let q be 68\/8 + w\/(-4). Suppose -j - j = -q. Solve -6 = -i + 5*p, -2*p = j*i + 2*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 5 - -7) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.62 + -24.62. What is the nearest to z in 1\/2, -29, 0, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 20*u**7\/21 + 2*u**6 - 15*u**5\/8 + 5*u**4\/12 - 1316*u. Factor i(z).\nAnswer: 5*z**2*(z + 2)*(4*z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.17 (b) -4\/3 (c) -0.78 (d) 0 (e) 133 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 t when four letters picked without replacement from {h: 4, y: 6, e: 1, t: 2, x: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6527 + 0.17.\nAnswer: -6526.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r + 92. Give t(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 12) to base 2\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 10*p**2 + 7*p - 356. What are the prime factors of o(-18)?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f - 6. Let s be j(6). Suppose 5*d = -8 + 28, 0 = 4*u - 3*d - s. Suppose b + u = -3*b. Put b, 3, 4 in increasing order.\nAnswer: b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*18\/(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = q + 21, m + 2*q = -3*m + 6. Suppose m*t - 112 = t - w, 2*t + 4*w - 78 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -684139.514 - -1.\nAnswer: -684138.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -8*z**5\/5 - 13702*z**4\/5 - 106766*z**3 - 3039278*z**2\/5 - 1856634*z\/5 + 662508\/5 = 0.\nAnswer: -1673, -33, -6, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**5\/20 - 75*k**2 + 6*k. Let g(d) = 670*d**2. What is g(s(p))?\nAnswer: 6030*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-1596)*19)\/(-1*3\/18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 8*s + 2. Suppose 3*h + 21 = u, 3*h + 25 = h - 3*u. Let b be v(h). Suppose -b*a - 1 = -7. Solve -a*f - 4 = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 587158, 587147, 587136, 587125?\nAnswer: 587114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r**3 - 2*r**2 - 4*r - 10. Let f(b) = b**3 + b**2 + b + 5. Give -2*f(y) - l(y).\nAnswer: -16*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 less than or equal to 9658\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 - (3 + (-4 - -6)). Solve -c*j + 408 = 378 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 5:33 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -9*l**3 + 12*l**2 + 3*l - 6. Let i(r) = -3 + 10*r**2 + 3*r**2 - 10*r**3 - 3 + 3*r. Let d(q) = -6*i(q) + 7*t(q). Factor d(y).\nAnswer: -3*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 11*o + 12. Let d(s) = 7*s**2 - 23*s - 8. Let n be d(10). Let a be n\/(-48) - 6\/16. What is g(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = q - 5, p + 57*q = 54*q + 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -20*j**2 + 26*j - 10. Let o(w) = 11*w**2 - 13*w + 5. Let c(d) = -11*o(d) - 6*t(d). Determine c(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 10:12 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/113886 and -25\/19132848?\nAnswer: 19132848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39*t**4 - 2*t**3 + 2629 wrt t?\nAnswer: -156*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -1 - (-6 + 28).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-7)*(-9)\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonnnehtoh. Give prob of picking 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73 + -12485?\nAnswer: -12568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 535*s**4 - 684*s**2 - 1475810*s wrt s?\nAnswer: 6420*s**2 - 1368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*n**2 - 3*n**2 - 3*n**2)*(508 - 238 - 254) + (2*n + 0*n - 8*n)*(-17 + 4*n + 17) as g*n + x + q*n**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -102, 2\/3 in descending order.\nAnswer: 5, 2\/3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugg when three letters picked without replacement from vuvgvggvvggvvvguou?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zeom when four letters picked without replacement from emtzozoeotzzot?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232192 and 160?\nAnswer: 1160960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/20 + 102\/(-255))\/((-2)\/(-10)). Let c be 3\/(-9) - (-11)\/(-3). Put -2, 1, w, c in descending order.\nAnswer: 1, w, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/21)\/((-64)\/48).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(8\/32)\/(2\/(-12)). Suppose 2*v - 3*v = -5*g + 7, 0 = -x*g - v + 1. List the prime factors of 68 + -3 + 6 - g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(112) - sqrt(7)*-2*1.\nAnswer: 2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12643\/2 + -75983\/12. Calculate the common denominator of j and ((-74)\/40)\/((-18)\/15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0924 - -1.5936. Let p = -2.533 + f. What is p rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 404?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -40, 0.123?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.2. Suppose 2*d - d = 6. Let k(x) = -x**2 + 6*x. Let w be k(d). Which is smaller: s or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 10*k + 37. Let m(w) = 33*w - 20*w - 36 - 24*w. Let h(l) = -6*m(l) - 7*r(l). Is 11 a factor of h(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 42 - ((557 - 607) + 34 + -2)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79261 + 143861 = 2721*q for q.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96663079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w**(-5))**19\/((w**(1\/3)*w\/(w**(-1\/5)\/w))\/(w**(-1\/6)*w**2)) assuming w is positive.\nAnswer: w**(-957\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -491*q + 751*q - 6240 for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + -2 + (-6)\/(-1). Suppose 5*d = 0, 2*d = -5*j - 3*d - w. Let f = 287\/435 + 1\/145. Which is the closest to f? (a) 5 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 17*m = 18*m + 17, 5*r - 3*m = 30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 3\/4, -3, -12, 0.2, 0.1, -32306?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45676352 by 308624.\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 1. Let f be g(-2). Let j be f + 7 + (39 - 45). Solve j = 3*r + 1 - 7, -3*o = -5*r - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5876 and 886756.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-10))\/((-5406)\/(-540) - 10). Suppose 0 = -4*a - 4*o + 28, -1 = -2*a + 3*o + 3. What is the highest common factor of a and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60554 - -5506?\nAnswer: -54047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274621635.\nAnswer: 3, 5, 6102703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-1890)*21*(0 - -1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688018 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.117 and -0.0112?\nAnswer: -0.0013104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4 + 12\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3457676, -3457666, -3457666, -3457682, -3457720?\nAnswer: -3457786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -15*q + 3. Let k(i) = -15*i + 2. What is -3*k(x) + 2*l(x)?\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(10\/(7\/((-7)\/2)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2\/d*d**(-2)*d**(-44))\/((d**(-2\/9)\/(d*(d\/(d*d**(-2)))\/d))\/(d\/(d*d**(-1)*d)*d**4)) assuming d is positive.\nAnswer: d**(-349\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 98*z**2 - 359*z + 15902. Suppose -272 = -3*d + 2*d. What is the lowest common multiple of x(100) and d?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 6*u - 4*u + 2, 0 = 3*u + 3*p - 3. Which is the nearest to -0.2? (a) -5 (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-16)*(-940)\/(-15). Suppose s = -u + 23. Let r(f) = -f**2 + f + 5. Let x be r(-5). Which is bigger: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7165514 + 3?\nAnswer: 7165517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -d - 13. Let q be (-92)\/6 + (2 - d\/(-3)). Let n = q - -23. Calculate the remainder when 18 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = c + 4*c - 14, 4*t = 3*c + 9. Suppose 0 = -2*n + 1 + c. Sort n, 0.3, -2.\nAnswer: -2, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 17*b + 8*b - 3782. What is the smallest common multiple of b and 6?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4307175378?\nAnswer: 2, 3, 11, 41, 176857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68, -74, -86, -110, -152, -218, -314?\n\"Answer: -x**3 + 3*x**2 - 8*x - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22479.29009 take away -42.5993?\nAnswer: -22436.69079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 0 + 1\/30*j**5 + 6*j**2 + 5\/48*j**4 + 0*j + 1\/6*j**3 + 1\/240*j**6. Factor k(y).\nAnswer: (y + 1)**2*(y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/(-15) + (-2)\/6. Let i(a) = 3*a**2 - u*a**2 + a**2. Let k(w) = -2*w - 4. Let z(j) = 6*j + 11. Let m(s) = 11*k(s) + 4*z(s). What is m(i(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -2, 11, 28?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-13))**(-3) assuming z is positive.\nAnswer: z**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45249855, 90499729, 135749603, 180999477, 226249351?\nAnswer: 271499225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*u + 20*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/4 - (98 + -106)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m*p**3*r - 5*m*p**3 - m*p**2*r + 45*m*r - 870*m - 25*p**3*r + 1435*p**3 - 25 wrt p.\nAnswer: 6*m*r - 30*m - 150*r + 8610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 840 and 1008?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/7)\/(-4*(-7)\/(-28)))\/(5\/135).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2)*(-4 + 3 + 0)*(-6*o + 2*o - 4*o) to n*o + h and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 679*w + 31. Let r be i(-4). Let f be (r\/75)\/(2\/(-10)). Which is greater: f or 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**2*p + 2922542*o**2 + 5*o*p + 305450*p wrt p.\nAnswer: -2*o**2 + 5*o + 305450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7\/43 (b) -1 (c) -166 (d) 2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**2\/7 + 605272*i\/7 - 45794274248\/7 = 0.\nAnswer: 151318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**3 + 4*q**3 + q**3)*((-6 + 3 + 1)*(4*q - 5*q - q) + q - q - 2*q + 7*q - 26*q - 13*q) to the form w*q**3 + x*q**4 + v + b*q + m*q**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -875\/8 - -109. What is the second biggest value in 1\/6, d, -17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2675 divided by -25\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 2050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (246\/9 + 1)*24. Suppose 14*x - g = 9*x. What is the highest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 divided by -11749?\nAnswer: 231\/11749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13255*g**2 - 13643*g**2 - 3606*g**2 to v*g**2 + x*g + o and give v.\nAnswer: -30504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4538534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3046*y**3 - 1526*y**3 - 1514*y**3 + 46)*(-y + 8 + 5 - 11).\nAnswer: -6*y**4 + 12*y**3 - 46*y + 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 10:47 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/741*13*18\/(-4)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 1280\/48)*-9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9816261 - 238.8.\nAnswer: -9816499.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - 7\/9. Let x be 2\/(-8) + j\/(-4). Suppose 2*l = -x*l + 32. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15402 and 25.67.\nAnswer: 15427.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 283095521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20263731 a multiple of 1484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18276502.5 seconds?\nAnswer: 211.53359375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 17. Let c = -71 + 77. What is the remainder when 15\/(-12)*(s + 1) is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/3 - 92*h**4\/3 - 1010*h**3\/3 - 3728*h**2\/3 - 2336*h\/3 + 7168\/3 = 0. What is h?\nAnswer: -32, -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -34. Let p be ((-1)\/(-12))\/(1\/(-2)). What is the nearest to c in -4, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 5:40 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9378698.\nAnswer: 2, 7, 95701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = -883 + 4763. Let u be 1\/7 - l\/168. Is u < -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -76, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/((r*r**(1\/8)*r)\/r)))**(-13\/3)*(r\/(r\/(r*r\/((r\/r**(6\/7))\/r))))**(-43) assuming r is positive.\nAnswer: r**(-22187\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 50407299 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9964 = -5*p, -3*p + 2214 + 3772 = -2*c. Suppose -736 = 6*b + p. What is the tens digit of b\/(-3) + 8\/24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -197 smaller than -189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -181, 4, -3, 3, 89 in descending order.\nAnswer: 89, 4, 3, 0, -3, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1.9, 9\/2 in increasing order.\nAnswer: 0, 1.9, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16521 - -1?\nAnswer: -16520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*(-8)\/(-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*n**3 + 78*n**2.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) 0.11 (b) 2\/7 (c) -1.29 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-22))\/((-4485)\/(-3795))*-32.\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 229791.5 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.329 from -80.636.\nAnswer: -80.307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -393477\/932 or -421?\nAnswer: -421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4)*0\/2)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*p + 36, 5*p - 2*p = 5*r - 60. What is the highest common factor of 108 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-2\/15)*g)*g*g*g*g*(g*g\/(g*g**(5\/6)*g))\/g*g*g)\/((g*g*g**(-1\/10))\/g*g**(1\/2)) assuming g is positive.\nAnswer: g**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q. What is the first derivative of 1 + 0*a**4 + a**4 + q wrt a?\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.165 - -0.0534838518827.\nAnswer: 0.2184838518827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13397552 (base 10) to base 11.\nAnswer: 7620863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 41*z**2 + 41*z + 157. What is the hundreds digit of j(42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - 65\/100. Let i = 12.96362 - -0.03638. Does i = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**3\/3 + 746*p. Let g = -10 - -15. Let f(i) = -g*i**2 - 2*i**2 + 4*i**2. Determine f(x(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -35, -56, -75, -92, -107, -120?\n\"Answer: o**2 - 26*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-36 + -8 + (25 - -5)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3719, -15911, -36573, -65705, -103307?\n\"Answer: -4235*g**2 + 513*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68913850.\nAnswer: 2, 5, 1378277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.3 (b) 0.4 (c) 151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -633?\nAnswer: -2\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 243 + -212 + (-36 - -7) + -1 + 69.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(((r\/(r**(-2\/3)*r)*r)\/r)\/r))**15)**(2\/5))**(2\/85) assuming r is positive.\nAnswer: r**(16\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -665*a + 19344.\nAnswer: -665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -98*a + 18. Give x(-3).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -22615755.\nAnswer: -22615755.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 - 348*q + 1. Let z(f) = -8*f**2 + 702*f - 3. Calculate 5*y(h) + 2*z(h).\nAnswer: 4*h**2 - 336*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -68031?\nAnswer: 340155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 58? (a) 2\/9 (b) -2\/3 (c) 5 (d) -337 (e) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 25.000025. Round x to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74722950 divided by -7066.\nAnswer: 10575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 855557980 a multiple of 3739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -2.6931?\nAnswer: 2.9931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -0*n + 7*n + 4, -44687*n + 44692*n + 5*w = -60 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/297*11)\/(14\/27).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*a + 18 = 0, -5*z + 1828*a - 1827*a = 27 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -47, -50, -35, 4?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 50*s**7\/7 + s**4\/4 - 8*s**2 - 340*s. What is the third derivative of n(t) wrt t?\nAnswer: 18000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 11:47 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 264.889 - 264.148995. Let p = f + -0.74. Round p to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/207557 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/6 - 5*y**3\/6 + 3*y**2 - 10*y + 1. What is n(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010001100101110101 (base 2) to base 14.\nAnswer: -56d1ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*p + 45*p + 45*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -168, -779, -1806, -3255, -5132, -7443?\n\"Answer: -z**3 - 202*z**2 + 2*z + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221860627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by ((-550)\/(-400))\/((-1)\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 34*q + 14. What is h(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1850 + 1941. Solve 27*f + k - 10 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -322, 2\/7, 31, 2.\nAnswer: -322, 2\/7, 2, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 2*o**2 + 5 - 5 + (0*o - 2*o + 4*o)*(-2 + 2 + 6*o) - 13*o**2 - 2*o**2 + 2*o**2 in the form n*o + j + y*o**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iijiyyiuiiuii.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34145, -34098, -34041, -33968, -33873, -33750?\nAnswer: -33593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v**3 + 20352*v**2 - 34840*v - 11616 = 0 for v.\nAnswer: -2\/7, 2, 1452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 - 3690 = 683*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7854103 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4589*f**3 + 2301*f**3 + 1179*f**3.\nAnswer: -1109*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 9361634.\nAnswer: -5\/9361634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.383053558 rounded to 4 decimal places?\nAnswer: 0.3831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4\/5 - 4*x**3\/5 + 7*x**2\/5 + 22*x\/5 - 24\/5 = 0. What is x?\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*o - 36*o - 36*o.\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 539432582*x**5 - 6*x - 42999878?\nAnswer: 10788651640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 2.8, 2\/5, 1.8, 21 in ascending order.\nAnswer: -0.11, 2\/5, 1.8, 2.8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 5\/2 (c) 8 (d) -11.346 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1303 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2053 = -8*b - 2101 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**4 + 2*k**4 + 2*k**4 + (-4*k**2 + 3*k**2 + 0*k**2)*(-k**2 - 3*k**2 + 6*k**2) + (-4*k + k + 4*k)*(-3*k**2 - k**3 + 3*k**2).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-2) - (-15)\/5. Let u(t) = -t + 12. What is u(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 74222*x - 296926. Give c(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*t = 90, k - t = -6*t + 70. Is k a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*d + 11760 = -53*d - 58*d. Does 112 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.2 + -28.2. Let h = -5 - -4. Let g be h + ((-21)\/4)\/(-3). Which is the biggest value? (a) g (b) -1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 - -135. Let x be (-3)\/(k\/375) + (-1)\/(-6). Which is smaller: -21 or x?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(99) + sqrt(99) + sqrt(99) + 4)**2.\nAnswer: 36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76 + -78. Let x be 235\/45 - (t - 20\/(-9)). Suppose -x*r - 19 = 11. Let y(j) = j**3 + 6*j**2 + 8. Determine y(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 - 6*a + 2. Let l(y) = 2*y**2 + 5*y - 2. Calculate -5*l(c) - 4*u(c).\nAnswer: 2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*c + 5, 5 = 2*m - c. Solve m = -t - 1 + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781040366656473924*f**2 - 7070119056*f + 16 = 0.\nAnswer: 2\/441882441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2653\/253158?\nAnswer: -2653\/253158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/24 and 141\/70.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3313152 (base 6) to base 15\nAnswer: 33ea8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**2 + 4*f + 663. Let t(d) = -24*d**2 + 13*d + 1987. Let j(h) = -8*a(h) + 3*t(h). What is the derivative of j(i) wrt i?\nAnswer: -16*i + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25907758 and 7230072?\nAnswer: 310893096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -17. Suppose -b*c = -4*k + 114, -4*k + c + 120 = 5*c. Suppose -d + k = -17. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15.95, 0, -0.4 in decreasing order.\nAnswer: 15.95, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 670 and 15?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + 0*f)*(-3 + 7 - 2)*(3 - 3 + 8) + (2 + 2*f - 2)*(-6 + 4 + 1) - 9*f + 23*f + 8*f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294 - 26 = -293*l + 1440 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let t = -0.9 - -4.9. Let l = -363\/5 + 72. Which is the smallest value? (a) h (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410380 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*h)*(-h**2 - 2 + 2) + h**3 - 5*h**3 + 3*h**3 + 7329*h**3 - 14398*h**3 + 7208*h**3.\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*z**3 + 6*z**3 + 8*z**2 - 8*z**2.\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32 or -336\/11?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -773 + 48*h - 142*h + 92*h. Let k(u) = 3*u**2. Determine k(b(s)).\nAnswer: 12*s**2 + 9276*s + 1792587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -22212\nAnswer: -1\/7404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q. Let n(p) be the third derivative of -p**4\/24 + 28*p**2. Let u(l) = -l**2 - 2*l. Let r(x) = -2*n(x) + u(x). Calculate r(i(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:07 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5583*c + 16751*c - 5589*c - 5581*c. Let a(s) = 3880*s. Calculate a(y(n)).\nAnswer: -7760*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 966.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 3*o**2 - 5*o - 4. Let n be f(-1). Is 12\/n - 12\/8*-4078 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 739 - 421. Suppose -5*s + 2*q - 313 = 0, 5*s = -0*s - 3*q - d. Let g be (s\/(-12))\/(-3) + 1. Are 0 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*f + 17 = -176*f - 4*i, -f - 15 = -5*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81.99782 + 82. What is c rounded to four decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -15. Let h = l - 14. Let g be 1 + -4 + h + 3. Solve 3*u + g*u = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2176 + 347. Let m = l - -7235\/4. Calculate the common denominator of -43\/2 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 386 + -370. Let z be (510\/27)\/5 + o\/72. Solve 0*h = z*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 5*x - 6. Suppose 5*b - 6*d + 10*d + 38 = 0, 5*d + 40 = -5*b. Give l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -2) + 20 + -18 + 17?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 103314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 0, 1\/3, -2.5, -0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0)*14\/63. Let u = -1.19 - -0.19. Let j = 45 + -47. What is the third smallest value in j, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.623523 decades?\nAnswer: 1154.82276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 811, 810, 809?\n\"Answer: -m + 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2100\/63)\/(-25))\/(4\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 2*p**2 + p - 3. Let f be n(-3). Suppose -f*q + 2 = -4. What is the third derivative of -6*y**4 - y**2 + 8*y**q - y**2 + y**4 wrt y?\nAnswer: -120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 88.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 140, 145, 150, 155, 160, 165?\n\"Answer: 5*v + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 5:35 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -68 (b) 2\/11 (c) 0.1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2090 - 2117. What is the nearest to 1 in -5, -1\/2, c?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5000) + (sqrt(5000) - sqrt(5000)*3 - sqrt(5000)))\/(sqrt(490)*-3).\nAnswer: 20*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -123 and -3.34.\nAnswer: -126.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -w**5\/4 - w**4\/2 + 3*w - 5. Let u(k) be the first derivative of j(k). What is the third derivative of u(s) wrt s?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.585126 + -0.173221. Let n = -53.417705 + y. Let s = n - -53. What is s rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79902731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -266 + 250 - n + 4*n as i + m*n and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3 - 4 - -5) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 3 - -21) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 104.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 564*o + 561*o = 48, 2*q - 2*o - 88 = 0. What is the highest common divisor of q and 402?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000011111101101 (base 2) in base 10?\nAnswer: -296941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 11:32 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3\/6 + 39605*z**2\/2 - 117631800*z - 352954810\/3.\nAnswer: -5*(z - 11882)**2*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50, -98, -146, -194, -242, -290?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7098 is divided by 2347?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -105.04 + 105.893. Round s to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 8*l - 3. Determine v(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 118. Suppose -4*n + 6*n = z. What is the highest common factor of 60 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9216 = -554*z + 42*z for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4 - 2 = -o, 2*b + 2 = -4*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34764, -34821, -34910, -35037, -35208, -35429?\n\"Answer: -m**3 - 10*m**2 - 20*m - 34733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 26 (b) -1.7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z. Let o(v) = 64*v**2 - 28*v. Let a be (-2)\/4*-6*-1. Let i(d) = 5 - 3*d + 7*d**2 + 4 - 9. Let j(p) = a*o(p) + 28*i(p). Determine n(j(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -17. Suppose 872 = m*b - 0*q + q, 4 = q. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36911b + -109?\nAnswer: -369227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 146247750 and 324995?\nAnswer: 146247750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 205*f - 203*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 86 and -4.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*s - 4 = -196*s - 6*y, 4*y = s - 4. What is the closest to 2 in 1, 6\/5, s?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l + 3. Suppose v - 2 - 5 = 0. Let p(r) = -5*r + 12. Let k(t) = 2*t - 3. Let i(m) = -7*k(m) - 2*p(m). Give v*i(n) + 6*q(n).\nAnswer: 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 100, 112, 124?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (144\/(-2))\/(-4) + 4 + -4. Let y(p) = 7 + 21*p - 8 - f*p - 15. Let c be y(6). Solve 0*t + 14 = c*t - 5*k, 5*t + 27 = -3*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3253115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -2*y**3\/3 - 5220. Let w(c) = -2*c - 586. Determine w(i(b)).\nAnswer: 4*b**2 - 586","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 234 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -46. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1724.4 + 245.6. Let z = 1969.6066 - b. Let c = 0.4 + z. What is c rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 19*o**4\/4 + o**3\/6 - o**2\/2 + 52*o. Calculate k(1).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4278 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97110776?\nAnswer: 2, 7, 1734121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, u: 1, o: 2, a: 2, d: 1, n: 4}. What is prob of picking 1 u, 1 n, and 2 o?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*46*(-176)\/1056 - -13. Factor -k*r - 360\/7*r**2 - 75\/7*r**3 - 48\/7.\nAnswer: -3*(r + 4)*(5*r + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-21))\/(2\/((396\/9)\/(-11)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -420, -4279, -14760, -35175, -68836, -119055, -189144, -282415?\nAnswer: -402180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -703*h - 6575*h + 72780 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18922209677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 27. Calculate the lowest common multiple of t(-15) and -9*(6\/(12\/2) + -4).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 3\/2*s**2 + 1\/12*s**4 + 0 - 3*s - 4\/3*s**3. Let i be p(7). Which is the nearest to 0.1? (a) i (b) -1\/5 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 + 10882110*f + 9868359837675 = 0. Calculate f.\nAnswer: -1813685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5*2\/(-5))\/(-3 - -4). Calculate the highest common divisor of 11 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let b(k) = 12736121*k**2. What is c(b(w))?\nAnswer: 12736121*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 18*l**3 - l**2 + 1. Give m(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a day in minutes?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 3. Let f(n) = 1. Let g(i) = 4*f(i) + p(i). Let z be g(-6). Let x be 11 + (-1)\/(-3 + 21\/6). Solve 5*r + 2*q = -2*q - x, 5*r + 3*q + z = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 4, e: 1, k: 1, g: 1}. Give prob of picking 1 q and 1 g.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxxdddpkofxoddxpdxko. What is prob of sequence xok?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-28))\/(((-60)\/(-35))\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4 + 4)*(-19 - u + 19) - u - 2*u**2 + u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*h**2 + 1543*h + 3 + 5 - 22 + 11.\nAnswer: -2*h**2 + 1543*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -349500 to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/9, 1, 14, 3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 657*a - 650*a = 2044. Calculate the remainder when a is divided by 74.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of 0*m**5 + 0 + 0*m**2 - 1\/12*m**4 - 2*m + 0*m**3 + 1\/720*m**6. Let f(w) be the third derivative of s(w). Calculate f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f + 4. Let s(c) = 4*c - 5. Let y(w) = w**2 + 11*w + 3. Suppose -3*p = 2*h + 2*h + 56, 5*p = h - 9. Let g be y(h). Give g*t(a) + 2*s(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363, 3150, 10797, 25734, 50391, 87198, 138585?\nAnswer: 206982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 43. Let o = 49 + b. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4961704*u**2 - 9*u + 6*u + 3*u.\nAnswer: 4961704*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4)*d)\/d**0 assuming d is positive.\nAnswer: d**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*j*n**3 - 26*j*n*v**3 - 346*n**3*v**3 - 192*v**3 with respect to j.\nAnswer: 9*n**3 - 26*n*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 14402012?\nAnswer: -14402013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*r + 10 = -2*r, -r = 5*v - 15. Let j(k) = k**3 - 4*k**2 - k + 4. Let f(u) = -2*u**3 + 9*u**2 + 2*u - 9. Determine v*f(q) + 9*j(q).\nAnswer: q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pznzzozpf. What is prob of picking 1 z and 1 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**3 - 2*i + 3*i + 31*i**2 - 32*i**2 as x*i + h*i**3 + d + z*i**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429052 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: Suppose -3*t + 121 = -2. What is the third derivative of 24*c**4 + 22*c**4 - t*c**4 - 7*c**2 wrt c?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 9*x - 8. Let g be j(8). Suppose a + 94 + 76 = g. What is the tens digit of (6\/(-15))\/(2\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 + 16 = -11*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**7\/105 - t**6\/12 - 7*t**5\/30 - t**4\/4 - 5*t**2 - 6*t. Factor k(b).\nAnswer: -2*b*(b + 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*2*(-3 + 10\/4). Let x = -0.27 - -0.3. Let q = -1.97 - x. Sort 0.5, q, w in descending order.\nAnswer: w, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 573, 2272, 5103, 9066?\n\"Answer: 566*l**2 + l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 5*w**2 + 1285*w + 5060 = 0?\nAnswer: -253, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 183090*l**2\/7 - 399306108*l\/7 + 1025576856\/7.\nAnswer: -3*(l - 4358)**2*(7*l - 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (-2 + 0 + 1). Suppose -b*x = -2 - 8. Let s(v) = -v + 17. Let u be s(8). Solve -c = -4*g + u - 0, 0 = -g + x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -351 - -129. Suppose n + 0*n + 5*w = 1427, 7265 = 5*n - w. Let l = n + r. Round l to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 10. Let n = 26 + t. Let y be 6\/27 + (-4)\/n. Solve -1 = v - y*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 696 + -552. What is the highest common divisor of w and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) -1150 (c) -2\/9 (d) 5\/36 (e) -0.054\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 16*f + 38. Let p be o(-16). What is the tens digit of p\/95 + (-2498)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -61762?\nAnswer: -6175a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 - 121. Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/180*18\/(-4)*(-1085)\/147 and -13\/204.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 368761?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -152523312*v - 30072789.\nAnswer: -152523312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-495)*11*(-9)\/48*-4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/8*(-32)\/96.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.49 + 3.18. What is the closest to -2\/5 in 0, -2, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*2009\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqb when three letters picked without replacement from bqbbqbbqbbqqb?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -b + 8*x + 27, 0 = 4*x - 8. Let g = b - -35. Does 18 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s - 12 = 0. Let u(y) = -19*y + 2. Let m be u(-2). Suppose 0 = s*d - m - 4. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4)*-4 + 4. Suppose -4*c + u = -2*j, -7 = -5*j - 2*c - 34. Let g(m) = m + 7. Let h be g(j). Solve -h*d = 2*p + 3*p - 17, 0 = -p + 2*d + 1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 78 = -3*d + 5, 2*d + 13*r = -37 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - (230 - 134) - -30?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -40. Let h(u) = 4*u**3 + 3*u - 2*u**3 + u**2 - u**3 + 6 - 2. Give h(c).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3598 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y. Let q be l(-8). Calculate the greatest common divisor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 465344234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.1095853 rounded to 3 decimal places?\nAnswer: -28.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1449 divided by 207.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1\/t)\/((t\/(t*t\/(t\/t**1)))\/t))\/(t\/(t\/t**(-1))*t*t*t**(-6)*t)*(t**(6\/5)\/t*t\/t**(-2\/3))**38 assuming t is positive.\nAnswer: t**(1154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*m - 11613 - 56593 - 119039 = 0. What is the greatest common divisor of 75 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-10))\/(18\/14*12320\/(-3300))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 592 = -607. Solve -3*z + 7 = q, q - 37 = -i*z + 6*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d*d\/d**0)**(26\/3))**(-2\/93) assuming d is positive.\nAnswer: d**(-52\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084451 <= 2084451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q**4 + 5818*q**6 + 28*q**2 + 6 - 8*q**4 - 5789*q**6 wrt q.\nAnswer: 3480*q**3 - 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10000 divided by -1000.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 514933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 712 = 4*i, 0 = -0*q + q - 1. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 640 = 3*l. Suppose 0 = 38*r - l*r + 486. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-88)\/15 - ((-12)\/(-10))\/((-7)\/35). What is the biggest value in -1\/6, -1\/4, 0.9, -2, i?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2641 - -4576. Let m be p\/75 + (-2)\/(-10). Let z be -1 - (0\/(-2) - 40). What is the greatest common divisor of m and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 4:47 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*k + 623*k + 730*k + 134*k + 3 - 4 as g + o*k and give o.\nAnswer: 1626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 810411678 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6274994 times 0.12\nAnswer: -752999.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 11 + (-14 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/15 - 20558276*f\/5 + 123349648\/15 = 0.\nAnswer: 2, 30837412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 0 + 1\/24*k**4 + 3*k**2 + 0*k + 2\/3*k**3. Calculate l(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 39421795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 5. Let w be 3\/(98\/(-56) - -1 - 3\/(-2)). Let t = 13 + -18. Let f(y) = -2*y + 4. Calculate t*f(i) + w*d(i).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323207643 to the nearest integer?\nAnswer: 17978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 31*g**2 + 0 + 3\/10*g**5 + 7\/3*g**3 + 0*g + 0*g**4. Find the first derivative of t(q) wrt q.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7748845506.00000138 + 7748845569. Let f = -63 + d. Round f to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 + -36. Suppose 5*o - h = 17. Suppose -3*g - m + 17 + 20 = 0, -2*g + 3*m + 21 = 0. Calculate the greatest common factor of o and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = 3*c - 4*m + 25, -2*c + m = -2. Find the second derivative of -11*l**c - 527*l**2 - 10*l + 527*l**2 wrt l.\nAnswer: -66*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20529*f**3 - 25959*f**2?\nAnswer: -123174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1cb5 - 2?\nAnswer: -1cb7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -1)\/(24\/((-16)\/(-2))). Let q be 2 + 1 + 0\/(-2). Suppose q = 2*h - 5. Solve -r + v + 2 = k, h = 2*r for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 13*q**2 - 14*q - 181. What is o(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -b7 (base 12) to base 9\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2106.95 rounded to the nearest ten?\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 0 + (0 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4940 and 152.\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h + 4*h**2 - 4*h + (h - 3*h**2 - h)*(-4 - 2 - 2) + (0*h - 4*h + h)*(5*h - 2*h + h).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 2:12 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*(12 - 2). Let q = 37 - 34. What is the smallest common multiple of (g\/(-2))\/(-5)*-2 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86*((-12)\/(-18))\/(0 + 1)*15\/20.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5407293 at least -5407289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6 = -2*a, 4*a + 0*a - 12 = b. Suppose -5*m + 5*y = -10, 4*m + 2*y + a = 5*m. Sort -5, 2, m in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3088301 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + k + 1. Let d(a) = 12*a**2 + a + 1. Calculate -d(h) + o(h).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -305927360 divided by -2\nAnswer: 152963680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/60 and 125\/678.\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-4) + 1195\/85.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = 4*t - 124, -2*t + p + 108 - 11 = 0. Let g be (0 + 5)*4\/10. Calculate the greatest common divisor of t and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 96829 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 + -128. Which is the second biggest value? (a) z (b) 55 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2 = -l, -2*p - 1 = 4*l + 1. Suppose -4*n + l*n - 4 = 0. What are the prime factors of (1 - (-5 + n))*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 476*p. Let q(z) = -137784*z. Calculate m(q(o)).\nAnswer: -65585184*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 14*j - 24. Let h be z(-12). Let x be (9\/(-6) + 2)*8. Sort h, x, 3 in ascending order.\nAnswer: h, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-25)\/10 - (-2)\/4. Suppose -3*p = p - 4*l, 0 = l. Let c be (y\/(-1) - p) + 4. Solve -k - 2*k = c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 6:35 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49136368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -28037 divided by 5\nAnswer: -28037\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5853217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, y: 13}. Give prob of sequence yeee.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-659)\/(-9) + (-10)\/45. Suppose 4*l = -9 + a. Suppose 3*i = 67 - l. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 299. Let l(s) = -s + 264919. Calculate r(l(u)).\nAnswer: -u + 265218","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l**4*l)))\/(l\/(l**(-2\/3)\/l)*l))**(-1\/2)*((l**(-5)\/l)\/(l\/(l\/l**(3\/2)*l)))**(8\/17) assuming l is positive.\nAnswer: l**(-431\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3585 is divided by 1194.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -47\/23781?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 307603, 615056, 922509, 1229962?\n\"Answer: 307453*s + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-354)\/118)\/((-1)\/95) is divided by 74?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12284729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 691022.73 rounded to the nearest 10000?\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8))**(-22)\/((((k**(-1)\/k)\/k)\/k)\/k*k*k**(1\/40)) assuming k is positive.\nAnswer: k**(7199\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 6)*(-1 - 1 + 3)*(22*u**2 - 102*u**2 - 137*u**2).\nAnswer: -1519*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (452*k**2 + 172*k**2 + 991*k**2)*(2 + 0 - 4)*(-2*k + 0 + 0).\nAnswer: 6460*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k + k + 2*k + (8 + 20 + 11)*(-29*k - 1 + 56*k - 26*k) + 0*k - k + 3*k.\nAnswer: 44*k - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -12. Let g be (-1)\/(-11)*(-1 + 0). Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*l**2 + 12 - 12 - 2*l**2 - 5 + 5 + 2*l + 2*l**2 - 2*l + (-2*l + l + 2*l)*(0*l + 0*l - l) + 2 - 2*l**2 - 2.\nAnswer: -22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 4. Let o be z(-4). Let h = -140745 - -140749. Solve -y = m - o*y - h, -4*y = -12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 79686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 539376 and 4624?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + f = 2*z - 57, -95 = -5*z + 2*f. Suppose 5*c - w = 2*c + z, c - 2*w - 13 = 0. Let j(a) = a**2 - 2*a + 4. What is the units digit of j(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + i - 5. Let b be c(3). Let z = b - 19. Solve 0 = z*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in -39.3, -0.33, -2\/19?\nAnswer: -39.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18226442010 - -5944874719. Let z = s + -24171316839.00000047. Let n = 110 + z. Round n to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -23*j**2 + 3*j - 3. Let i(y) = 160*y**2 - 20*y + 20. Give 3*i(t) + 20*k(t).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a minute?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 8*h + 3. Let p be j(-5). Let v = p + -5. What is the greatest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -5347*d**7\/105 - 1311*d**4\/4 + 2*d**2 - 10762. What is the second derivative of v(r) wrt r?\nAnswer: -128328*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a = 2*a - 48. Suppose 0 = 4*u + 16, k = 8*u - a*u + 721. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -19*y**4 - 5*y**3 - 18*y - 5. Let z(q) = 19*q**4 + 4*q**3 + 18*q + 4. Let g(u) = 4*k(u) + 5*z(u). Find the second derivative of g(m) wrt m.\nAnswer: 228*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*t + 6 = 41*t. Suppose -d + f = -t, -f - 3*f = 8. What is the remainder when 9 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 250 - -128. Let z(a) = -6*a + 284. Let x be z(47). Suppose -x*p + 4 = -0*p, -2*l = -2*p - m. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85734 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13539, -13549, -13559, -13569, -13579, -13589?\n\"Answer: -10*k - 13529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**2 - 4*x + 4. Let j(a) = 5*a**2 - 2*a + 2. Let b(i) = -7*j(i) + 4*s(i). Determine b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/799, 19, -1, 6 in decreasing order.\nAnswer: 19, 6, 2\/799, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 14, s: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**7\/420 - n**6\/36 + n**5\/10 - 41*n**3\/6 - 5*n**2 - 2*n. Let x(t) be the first derivative of y(t). Factor x(a).\nAnswer: -2*a*(a - 1)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63083573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102586.\nAnswer: 2, 11, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -28476 divided by -1582?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/25*(-1175520)\/13272?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 1, a: 2, f: 1, q: 1, b: 1}. What is prob of picking 1 q, 1 o, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {j: 3, u: 11, a: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 19. Calculate the remainder when 21 is divided by s(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476*y = 498*y. Solve f + 8 = -p - f, y = -4*p + 5*f + 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 602a38?\nAnswer: 602a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000951977 to five dps.\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377110*x - 601903*x - 210580*x - 148035*x.\nAnswer: -1337628*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(33)\/sqrt(3)) + (sqrt(17) - (sqrt(17) + 0))**2 + 0.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*b - 20875244 + 166852544 = 0. What is b rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 170 - 46. Calculate the remainder when y is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 93?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2. Suppose x - 4*x = 0. Suppose -2*z - 2*z + 8 = x. Let v(t) = t**z + 4*t**2 - 7*t**2. Calculate w(v(y)).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -90.6 and -18.8754403?\nAnswer: 71.7245597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.629560415 and -603.\nAnswer: -603.629560415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1464733, 2\/9, 12 in increasing order.\nAnswer: -1464733, 2\/9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -134*h**3 + 57*h**3 + 1437*h**3. Suppose 0 = -2*o + 3*l - 10, o = -3*o - l + 8. Let g be y(o). Round g to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24179\/96668 + -3\/24167. Sort f, -0.3, -3\/4, 0.4, -1027.\nAnswer: -1027, -3\/4, -0.3, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6*(11 - -1). Suppose -3*n = 5*v - u + 20, -5*v + n = 2. Let f(l) = -l**2 + 6*l - 9. Let o be f(5). Sort o, 5, v in decreasing order.\nAnswer: 5, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/13 - 190*f**3\/13 + 2038*f**2\/13 - 6450*f\/13 + 6300\/13 = 0. What is f?\nAnswer: -105, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/15)*k**(-6)*(k**(-1\/2))**23 assuming k is positive.\nAnswer: k**(-529\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1 + 48*v - 16*v + 8*v - 16*v - 25*v. Let r(o) = 11*o. Determine r(c(p)).\nAnswer: -11*p + 11","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 459 and 5763.\nAnswer: 51867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1084*y - 68497 = -1097*y. List the prime factors of y.\nAnswer: 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one thirds of a week in hours?\nAnswer: 1736","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -3450 - -7771. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 - 188*b**2\/3 + 1083*b - 1020.\nAnswer: -(b - 15)*(b - 1)*(b + 204)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/5 - 109*f\/5 - 114 = 0. What is f?\nAnswer: -5, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m + 4 + 20. Let t be (1\/m)\/(2\/104). Put -1, 4, t in decreasing order.\nAnswer: 4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4201487 and 1376?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 7*v + 8. Let w be a(6). Solve 4*s - 22 = -s - 2*c, -10 = -2*s - w*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 67*g - 987. Calculate the remainder when z(16) is divided by 82.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*n**4 + 2\/3*n + 0*n**2 - 2\/3*n**3 - 1\/3.\nAnswer: (n - 1)**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10}. Give prob of sequence bb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(119) + 4*(sqrt(119) + (sqrt(119) - (sqrt(119) - -1*sqrt(119)))) + sqrt(119))*1)\/((sqrt(224)*-1)\/(sqrt(10)\/sqrt(20))))**2.\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 22*p + 13. Let t be v(-9). Let w = t + 28. Solve c + w = 2*a, 3*c + 2 = c + 2*a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 6:30 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 106*w + 1029. Let x be j(-9). Let q(h) be the first derivative of h**2\/2 - 8*h - 2. What is q(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25*-28.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h = -2*h - 180. Suppose -h*s + 160 = -5*s. What is the smallest common multiple of s and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529309547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**2 - 48*n - 249. Let j be i(-12). Calculate the highest common divisor of 1683 and j.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -221.55 to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/931, -0.5, 6?\nAnswer: 2\/931","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 221641916 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*-3*(-25)\/6. Calculate the remainder when 11 is divided by ((-15)\/r)\/(3\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 3:06 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from scsrwby. Give prob of sequence br.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkak. What is prob of sequence kjk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgddggzzgdgdz. What is prob of picking 4 d?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7561.40337 to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 18 = 5*r, 4*r - r - 2 = -4*a. Suppose 2*z - 10 = a*p, 5*z - 29*p = -32*p + 49. Solve z*g - 5*g = -12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 3*w**2 + 2*w - 6. Let i be m(2). Solve h - 15 = 4*h, -1 = -i*l + h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*s + 4*f, 3*f + 2*f + 5 = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 469*r + 84 = -5*t - 471*r, 3*t + 11 = 2*r - 33 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + h + 44 = 0, -3*u - 156 = -2*h - h. What is the tens digit of (-400)\/u*18\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 924021513 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -205.58 * 1.8\nAnswer: -370.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 1, n: 2, s: 6, q: 5}. What is prob of sequence ps?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3913924?\nAnswer: 2, 7, 19, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 e when three letters picked without replacement from {f: 2, e: 6, z: 1, b: 1, c: 7}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*o - 5*o + 6 = 0, 2*o + 6 = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*j*u + 3*h**2*u**2 - 33*h**2*u - 6398*h*j**2*u - h*j*u**2 + h - 17*u**2 with respect to j.\nAnswer: -h**2*u - 12796*h*j*u - h*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 362311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 17*s - 166. Determine o(-16).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 3*p - 5*r - 36, 5*r = -2*p - 12. Let h be 0*(-2)\/(p\/(-1)). Suppose f - k - 64 = h, 4*f + 0*f = -2*k + 274. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -29*x. What is d(1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) - (-148)\/(-42). Let n = 3917325\/101374 - -4\/7241. Let t = j - n. Calculate the common denominator of 101\/6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**30)**(8\/21) assuming c is positive.\nAnswer: c**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-3))\/m)\/m**(-3\/5))**(7\/4)\/(((m**(1\/5)*m)\/m)\/m**(3\/5))**(-2\/41) assuming m is positive.\nAnswer: m**(-173\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10138418, 10138421, 10138426, 10138433?\nAnswer: 10138442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*(sqrt(3)*-3 + 0 - (1*((sqrt(3) - sqrt(15)\/sqrt(5)) + sqrt(3)))**2)*5.\nAnswer: -360*sqrt(3) - 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/18 - (-1 + 1). Find the third derivative of -4*f**2 + 15*f**i - 14*f**3 + 5*f**3 wrt f.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20430 - 1344?\nAnswer: -22324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30, 106, 248, 468, 778?\n\"Answer: 2*a**3 + 21*a**2 - a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4453*n**5 - 79*n**4 - 501149*n**2 wrt n?\nAnswer: 267180*n**2 - 1896*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3319652\/2077 or -1599?\nAnswer: -1599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*h**3 + 0*h**2 - 342*h**3 - 279*h**3 + 4*h**2 + 877*h**3 - 4*h**2.\nAnswer: -26*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*i**2*j**4 - 16*i**2*j**3 - 339*i**2 wrt j?\nAnswer: 20*i**2*j**3 - 48*i**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1833060739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10\/32)\/((-24)\/32) and ((-68)\/119)\/(414\/(-231)).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*s - 2. Let h be 12\/3 + -2 + s. What is the second derivative of -2*w + h*w**2 - w**2 + w wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 19989\nAnswer: -4\/19989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 48672031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 divided by 36?\nAnswer: 164\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 86951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -c - 3. Suppose c*v + 12 = 27. Factor -6*b**4 - 4*b**3 + 4*b - 2*b**v + 3*b**5 + 17*b**3 - 12*b**2.\nAnswer: b*(b - 2)**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7297872 by -1824468.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8733443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 314906*j**5 - 6*j**4 + 148*j**2 + 10*j + 185 wrt j.\nAnswer: 18894360*j**2 - 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)\/((-3)\/(-27)). Let b be k\/2*8\/12. Sort 4, b, 0.\nAnswer: b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*r + 4*r - 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 + 51*k. Give a(13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216)*1*4 + -5 + (sqrt(1216)*-1 - sqrt(1216)))**2 + (sqrt(1216)*-2 + 4)**2*1.\nAnswer: -288*sqrt(19) + 9769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/(-7*(-129)\/31304).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50831263789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3 + 14*g**2 + 12*g = 0. What is g?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**2 - 4*k**3 - 2 + 88*k**4 + 3 - 89*k**4 in the form d*k + h + s*k**3 + r*k**2 + n*k**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 1. Let j(x) be the second derivative of -x**4\/6 + x**3\/6 - 3*x**2\/2 - 29*x - 2. What is -j(b) + 5*v(b)?\nAnswer: -3*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -44291.7 rounded to the nearest 100?\nAnswer: -44300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649390 - -226.2.\nAnswer: 649616.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -12*t**2 - 36 + 16*t**2 - 27*t**3 + 29*t**3 - 17*t. Does 18 divide d(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p**2 + 15*p - 3. Let k(w) = 13*w**2 - 17*w + 2. Let t(v) = -3*k(v) - 4*u(v). Calculate t(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1159*b - 2335*b + 917*b to h + v*b and give v.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46525 + 0?\nAnswer: -46525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7213023 decades in months?\nAnswer: 86.556276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35223694033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-4)\/14)\/(5*11\/(-3080)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w + 2*w. Let u be 0*(-12)\/(-8)*(-3)\/9. Suppose -h - w*k = u, -5*k - 42 = -2*h - 6. Solve m + y = -y - 6, 0 = -3*m - y - h for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-5)*g*g\/(g*g**(-2\/9)))**(-38))**10)**(-1\/5) assuming g is positive.\nAnswer: g**(-1900\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - x**2 - 1. Let c(b) = -5*b**3 + 3*b**2 - 2*b + 10. Let n(y) = c(y) + 6*f(y). Calculate n(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*y + 294 = 40*y. Is 49 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 1232*u**2. Let x(y) = 77*y**2. Let g(w) = -w**3 - 3*w**2 - 19*w - 36. Let i be g(-2). Calculate i*o(b) + 33*x(b).\nAnswer: 77*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**5\/60 - k**4\/6 + 3*k**2. Let h be q(-4). Let m(t) = 6*t + t**3 - 2*t**2 + h*t**2 - t**2 - 2*t**2. Determine m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.56 + -12. Let j = -0.04 - y. Which is the biggest value? (a) -2\/9 (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**3 - 14*t**2 - 5*t - 6. Let c(w) be the second derivative of -w**5\/5 - 7*w**4\/6 - 2*w**3\/3 - 5*w**2\/2 + 6424*w. Calculate 6*c(q) - 5*k(q).\nAnswer: q**3 - 14*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - a + 1. Let d(g) = -1399*g**2 - 11*g + 12. Determine d(t) - 11*j(t).\nAnswer: -1388*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 7*f**2 + 6*f + 9. What is l(-6)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/((5 - 11) + 3). Suppose f = 2*y - 18*y + 54928. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.6064 to 0 dps.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6820307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 0*r**4 + 9\/20*r**5 - 4*r**3 + 0*r**2 + 0 + 21*r. What is the second derivative of w(l) wrt l?\nAnswer: 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -1, 0, 1, 2?\n\"Answer: n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100038.\nAnswer: 2, 3, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 3*v + 3, -278*v + z - 5 = -276*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47088 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16889220.\nAnswer: 2, 3, 5, 101, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 5*b**2 - 3*b + 2. Let u be h(-4). Let w(j) = j**3 + 3*j**2 + 2*j - 2. Let r be w(u). Which is greater: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mh when two letters picked without replacement from pppwmtttwtnthmwttt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/((-10)\/50)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*i**3*k + 635*i**3 - i**2 - 28549*k wrt i.\nAnswer: -252*k + 3810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*m + 35*m - 2 - 9 in the form p + b*m and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(-5 - 1 + 2)*((3 + 2 - 4)*(0*p - 2*p + p) - 3 + 2*p + 3).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -1, -6, 0.4 in increasing order.\nAnswer: -6, -1, -2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 56\/644 - (-44)\/23. Which is the smallest value? (a) 2\/13 (b) -1\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13091302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 516.7 and -4036?\nAnswer: 4552.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 132, -539, 771?\nAnswer: -539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j - 28. Let l be a(4). Suppose 6*v = 11*v - 5. Solve -5*r + l*r = -v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15947227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 8*f)*((2*f**3 - 3*f**3 + 0*f**3)*(-2 + 2 + f) + 195*f**4 + 13*f**4 - 719*f**4).\nAnswer: 4096*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 15 = -70*n + 70*n + 379, -6*n = 2*k - 116 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, 2\/13, 4, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245639*k**3 - 122926*k**3 - 122845*k**3.\nAnswer: -132*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (1 - -1)*-1. Suppose 16 = 4*q - z, -q + 4*q = -4*z - 7. Suppose -p + q + 0 = 0. Solve -9 - p = s*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -11*i + 8. Let o(a) = -4*a**3 + 2*a**2 - a + 5*a**3 + a**3 + 0 - 2. Let b be o(-2). Does 32 divide w(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u - 276 = -10*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -3*x**2\/2 + 24773. Let g(m) be the third derivative of m**4\/3 - m**2. Give n(g(b)).\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 2. Let i be s(2). Let x = -57 - -60. Sort 10, i, 5, x in descending order.\nAnswer: 10, 5, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-14))\/((-19)\/(-418)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-2)\/45)\/(-1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 14*k + 2. Let c be t(14). Solve 0 = 5*y + 9*h - 5*h + 13, -c*y = -2*h - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 6:37 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d*s*v - 18*d*s - d*v**3 - 15*d - 8*s*v + 1223*v**3 wrt d.\nAnswer: 5*s*v - 18*s - v**3 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.06665 and -0.2.\nAnswer: -0.13335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 2*p**5\/9 - 32*p**4\/9 + 122*p**3\/9 - 124*p**2\/9 - 104*p\/9 + 176\/9 = 0?\nAnswer: -1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2837 + -3070. Let q = 179 - 412. Do y and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*y - 4. Let v = -5.4 - -27.4. Let k = 23 - v. What is the second smallest value in 0.4, y, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*q**2 - 86280*q - 172820.\nAnswer: 5*(q + 2)*(13*q - 17282)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3 + (-700)\/(-1340)*(-4)\/(-3)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -17*d**2 - 117*d + 7332. What is g(-23)?\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 7*q**2 + 0*q**5 + 0*q + 0*q**7 - 5\/168*q**8 + 0 + 0*q**3 + 0*q**6 + 1\/12*q**4. What is the second derivative of h(r) wrt r?\nAnswer: -200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/61)\/r**(-4\/11) assuming r is positive.\nAnswer: r**(222\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**3 + 7*x**2 - 2 - 7*x**3 - 51*x + x**3 + 44*x. Let p(y) = -2*y**3 + 5*y**2 - 5*y - 1. Let f(m) = m - 9. Let n be f(4). What is n*j(q) + 7*p(q)?\nAnswer: q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23343 - -23369. Solve -k*u = 3*n - 29*u + 12, 18 = -5*n + 3*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 147*q**2 - 12491*q - 338. Determine s(85).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1091, 2170, 3249, 4328, 5407?\nAnswer: 6486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 8719600 to the nearest ten thousand.\nAnswer: 8720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 25*u**2 - 697*u - 72. Calculate y(28).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408 = -3*k - 14*k. List the prime factors of -180*((-40)\/k - 3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -335723, -671447, -1007169, -1342889?\nAnswer: -1678607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -0.23, -24, -2, 1, -13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -a + 108. Suppose -3*g = 12, -2*t - 2*t + 4 = -5*g. Let n = t + 24. What is the smallest common multiple of n and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v - 3. Suppose 4*a = -4*r + 52, 7 - 1 = 3*r. Suppose a*k = 28*k + 68. Let m(s) = -3*s + 1. What is k*f(d) - 10*m(d)?\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 m when three letters picked without replacement from {t: 5, m: 1, v: 2, d: 1, p: 2, r: 2}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(252)\/(sqrt(42)\/sqrt(6))*5)\/(sqrt(12) + sqrt(768)*1 - sqrt(12) - sqrt(60)\/(1*sqrt(5))))**2.\nAnswer: 50*sqrt(3)\/7 + 1300\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, l: 7, t: 2}. What is prob of sequence te?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 156268.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 99 divided by 3\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - 86. Let d = g + 208. Calculate the lowest common multiple of d and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 180152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076516543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -32829492 divided by -6\nAnswer: 5471582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 - -3. Let s(l) = l**3 - 4*l**2 - 7*l - 6. Let g be s(6). Let q = g - 22. Which is the nearest to j? (a) 0 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/16 in 5, 2\/3, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/7)\/(54\/(-42)). Which is the second smallest value? (a) w (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*j = -137*j + 25. Suppose 0*d = 3*d - 4*q - 35, -5*d + 70 = j*q. Solve -x + d = -2*y, 3*x + 8 = -4*y - x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-2) + -2)*-2. Let p be 0\/(-3) - u*1. Let g(k) = -k**3 + 3*k - 8. Let q(x) = x - 2. Let z(f) = -g(f) + 4*q(f). Give z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 802749000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36360 + -30552. Calculate the greatest common divisor of 33 and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 19 - 4*d - 3*d**2 + 15*d + 16*d**2 + d**3. Calculate the remainder when 19 is divided by w(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s + 98 - 616. Is 7 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*u + 19 = 0, -17 = -5*z - 0*u - u. Suppose z*t = 7*t + 16. What is the nearest to 0.19 in 2\/5, 2, t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 2:36 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 17275 - 11586 = 16408. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 3, 2, -11.\nAnswer: -11, -1, 2, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 23*n - 50. Let x be m(19). Suppose -7*k = -x + 19. Which is the smallest value? (a) 5 (b) k (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 5*l + 8. Let p = 10 + -16. Let t be q(p). Let u be (21\/(-6))\/((-2)\/4). Solve u*d = t*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {r: 3, j: 3, f: 2}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 23014*l - 506313. Give k(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(539) + 0 - sqrt(539)) + 1))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/3 + 10484*f**2\/3 - 24430*f = 0.\nAnswer: 0, 7, 5235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**3 - u - 1. Let j be -2*2 - 10*(-5)\/(-50). Let z(k) = 5*k**3 - 1. Give j*z(d) + 4*a(d).\nAnswer: -d**3 - 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**4\/36 - 2*r**3\/27 - 31*r**2\/18 - 28*r\/9 + 819. Factor u(b).\nAnswer: (b - 7)*(b + 1)*(b + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(sqrt(7)*3)**2 + (sqrt(308)\/sqrt(11))**2 - (-5 + 5*sqrt(4032))).\nAnswer: -822 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rvvrvvrprvrvrv?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 1:06 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -2, -115, 1 in descending order.\nAnswer: 1, -2, -5\/2, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4*w - 3 + 11 + 0 + 4.\nAnswer: 4*w + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 614*j**3*o**2 + j**2*o + 2*j*o**2 - 58*j*o wrt j.\nAnswer: 3684*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = f - 3*n - 89, -10 = 33*n - 38*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2 - 15*l. Let r be (-2 + -12)*10\/20. Let t be k(r). List the prime factors of t\/10*(7 + 0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, q: 2, w: 2}. Give prob of picking 2 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 5, -4, -1, 0, -71238 in increasing order.\nAnswer: -71238, -4, -2, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219113108?\nAnswer: 2, 109, 502553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**3 + 49*i**2 - 57*i. Calculate j(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/21078 and 67\/11926635.\nAnswer: 71559810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 45*l**4 - 7230*l**3 - 2455*l**2 + 6420*l + 3220 = 0?\nAnswer: -2\/3, 1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3169940 divided by 3530\nAnswer: -898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*h + 3*b, -8 + 3 = -2*h + b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/(24\/36). Let d be 0\/(3\/(w - 2)). Let u = -0.7 + 1.3. Which is bigger: d or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12))\/((-1)\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 + 13 + (-128)\/(-48). What is the highest common factor of p and 565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - g + 0*g + 0*g + 4.\nAnswer: -g + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + n - 17, 2*n - 20 = -20*v + 24*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 1 - (1 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 785 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52.6 + -50. Which is the biggest value? (a) -0.1 (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1347 + 0?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3482, -2, -9 in ascending order.\nAnswer: -3482, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 179907 or 179903?\nAnswer: 179907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 4. Let j be 3\/(-3) + z + 4. Suppose -w + 6 = j*w. What is the remainder when 2 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.87998 and 0.11?\nAnswer: 11.76998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 11:17 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 444.7 + -420. Let p = z + -23.7. Which is smaller: p or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 13*v - 47. Let l be u(4). Solve -l*s + 8 = -4*o, -2*s + 7 = -s + o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 3*c**3 - 7*c**2 + 6*c + 2*c**2 + c**4 - 4*c in the form h*c + n*c**2 + t*c**3 + u*c**4 + f and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62.32 * -232.\nAnswer: -14458.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -160 (base 7) to base 10\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 - 28. Let k = c - 22. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/15 + 14 - (-1 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645009 (base 10) in base 2?\nAnswer: 110010001100111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101 (base 3) in base 5?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.32 rounded to one decimal place?\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 553737 and 32619?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 0.9.\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11698.\nAnswer: 2, 5849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9246, 18, 12 in ascending order.\nAnswer: 12, 18, 9246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2464 - -17250\/7. Let v = -0.2 + -9.8. Sort -1\/3, a, v, 2 in descending order.\nAnswer: 2, a, -1\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 89*b**2 + 90*b**2 + 22467*b**3 - 5.\nAnswer: 22467*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.028 - 154.972. Let s = -139 - l. Which is greater: -5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31894679 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 276 = 3*i, 0 = -4*r - 3*i - 2*i - 368. Sort -1\/4, r, 0.1, -1\/6 in ascending order.\nAnswer: r, -1\/4, -1\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 11:43 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 4*v = 1, 3*o - 31*v = -24*v - 57 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, 5, -3.4, 0.5, -1\/3, -211?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 5*f = 0. Suppose f = 8*g - 16 - 16. Suppose 5*w - 2*y - 1124 = 0, -676 = -3*w - 2*y + g*y. Is w a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y + 8. Let j(p) = p. Let m(u) = -f(u) - j(u). What is the remainder when 99 is divided by m(11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 147a - -10?\nAnswer: 148a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11*(-2 - -6)\/4. Let a(j) = j**3 - 12*j**2 + 12*j + 3. Is a(o) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 13*y**2 - 184*y + 175. Give n(13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-2 - 3) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 4 (c) -2\/11 (d) -4 (e) 4\/5 (f) -0.148 (g) -81\/8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 4505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 8*j - 587. Give r(28).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 2)*180\/(-720).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -64?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4 + 1125*g**3 + 6781*g**2 + 5655*g = 0 for g.\nAnswer: -5, -1, 0, 1131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of i**4\/12 + i**3 + 9*i**2\/2 + i. Solve r(l) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4050 divided by 372.\nAnswer: 675\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 704\nAnswer: 1\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 49222*d**2 + 393787*d + 14. What is k(-8)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -22855682.6 and 0.02.\nAnswer: -22855682.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + (-3 - 61) + 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {r: 3, a: 4, e: 1, f: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 1. Let i be b(1). Suppose 5*n + 42 + 98 = i. Let s = n + 25. Sort 4, 5, s in decreasing order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microsecond in nanoseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2063, 2577, 3441, 4661, 6243?\nAnswer: 8193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21683490.\nAnswer: 2, 3, 5, 722783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmttttmtttmttttmtttt. What is prob of picking 4 t?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 4*s**6\/105 - s**5\/14 + s**4\/42 - 6*s. Factor i(a).\nAnswer: 2*a**2*(a - 1)*(4*a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 3860465.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 92, 196, 342, 530, 760, 1032?\nAnswer: 1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63\/3 - -2079 - 10\/1 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16863681 and 174099?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -178 - -111. Let z = p + 75. Suppose -r = -39 - 0. Calculate the remainder when r is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 1, g: 1, r: 1, p: 3, w: 4}. Give prob of picking 1 n and 1 g.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1, 8, 21, 40, 65, 96, 133?\n\"Answer: 3*l**2 - 2*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1134962*q**3 + 599*q**2 + 849*q?\nAnswer: -6809772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - y - 20, 13*k - 9*k - 2*y = 16. Solve 0 = 4*q - k, 3*j - 1 = 4*q + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 8 - 3. Let d(k) = -k**2 - 5*k + 2. Let n be d(f). Solve 0*u = m + u - 9, -n*u = 3*m - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:31 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*o + 11 = 0, 5*o + 26 = 2*g + 7. Let x(y) = 2*y**2 - 17*y + 8. Let c be (0 + 3)*(8 + (-13)\/3). What is the remainder when x(c) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 110, 204, 298, 392, 486?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 1625 = 1435. Is 25 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/3)\/(d*d\/((d**(2\/7)*d)\/d)) assuming d is positive.\nAnswer: d**(-22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 41\/37548?\nAnswer: 41\/37548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2124.981 seconds in nanoseconds?\nAnswer: 2124981000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79440 and 114526?\nAnswer: 13743120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1659 - -1714. Calculate the greatest common divisor of y and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -739, -1583, -2753, -4243, -6047, -8159?\nAnswer: -10573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u**3 + 3*u**2 + 0 + 0*u - 1\/24*u**4. Let c(x) = -3*x + 2. Let i(p) = -p + 1. Let t(r) = -c(r) + 2*i(r). Determine l(t(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 33*w - 45 = 8, -6*a + 5*w + 15 = -10*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -975 plus -5.9627?\nAnswer: -980.9627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12221 + 33332200?\nAnswer: 33313313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138415 is divided by 184?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298.7612l to millilitres.\nAnswer: 298761.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 8. Let c be d(5). Let p be 23\/c - (-8)\/(-48)*-4. Let m(s) = -s**2 - 8*s - 8. What is m(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6787805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11*o - 73. Let r be g(-17). Let u = r + 801. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h + 6 - 2 - 5*h.\nAnswer: 6*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 240 + -159. Let j = p + -81.4. Which is the nearest to -4? (a) j (b) -3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2.6. Let n = -2\/245 + 743\/980. What is the nearest to 2 in o, -0.02, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804*r**3 + 772*r**3 - 4012*r**3 + 809*r**3 + 808*r**3 + 813*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-3 - -1)) + 2 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(34\/(-357))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-57)*(-56)\/((-12152)\/93)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 1095*t**2 + 21685390*t + 198040 = 0.\nAnswer: -19804, -2\/219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 10*g + 5*g + 5*g. Let h(b) = 14*b + 2. Give h(a(m)).\nAnswer: 14*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.9 + 54.1. Let o = x - 61.95. Let c = 4.05 - o. Sort 0, -0.3, 1, c in decreasing order.\nAnswer: c, 1, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(70) - sqrt(70) - sqrt(70)))\/sqrt(360).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-10) - (-54)\/135. Let j be (-1)\/1 - (-6174)\/6160. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -5*k**3 + 2*k + 1. Let s be p(-1). What is the lowest common multiple of 5 and 34\/s - 2\/(-4)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2 + -8 - -5) + 5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 0, -11, -113, -1 in increasing order.\nAnswer: -113, -39, -11, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**3 + 186*w**2 - 360*w + 112. Calculate c(29).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(3326994 - i**3 + 1691*i**5 - 3326994).\nAnswer: 1691*i**5 - i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37879 + -37919.906. Let c = 41 + a. Let f = c + -0.09478. What is f rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002333 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19 + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h - 6304 = -34*h - 4*a, 0 = -4*h - 5*a + 6300. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**3\/7 + 2778*p**2\/7 - 5090661*p\/7 + 1452886 = 0.\nAnswer: -4039, 2, 1259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -3299 and -26395\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 0 - (5 + (-15 - -39) + -16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - i + 43. Let o be d(0). Suppose w - o = -2*u, 5*w + 2*u = u + 179. Calculate the remainder when w is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 831 - 833. Let d be 156\/9 - 10\/(-15). Put -4, m, d, 4 in descending order.\nAnswer: d, 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -15*f**2 + 31*f**2 - 6*f**2. Let c(q) be the first derivative of -q**3\/3 + q - 3. Let d(u) be the first derivative of c(u). What is r(d(k))?\nAnswer: 40*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2\/9, -0.193, 3, 2, 1, -3\/2?\nAnswer: -0.193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 7826653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(3 - (-2 + 7)). Let t(b) = f + 3*b - 8 - 2*b + b**2 + 0*b. Calculate t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -38*h + 1. Let b be c(-1). Let m(x) = 2*x**2 - 2*x + 4. Let g be m(-2). Let v be g\/10*10\/4 - -74. What is the greatest common divisor of b and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*t - 4*x + 8, -3*t = x - 16. Solve l + 0*l - t = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-36))\/((17\/(-6))\/(-17)). Which is the nearest to 3? (a) 4 (b) o (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Let p = -6 + 10. Suppose 4*o + p - 60 = t. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (17 - (10 - 0 - 0)) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/105 - 188\/1155. Suppose -g - 1 = -2. Let c = -3.09602 - 0.90398. What is the nearest to d in c, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3198, 12794, 28796, 51210, 80042?\nAnswer: 115298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -389*z + 5. What is the units digit of m(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 5*c = -6 + 4, -2*c + 4 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**5 + z**5 - 89*z + 84*z + (z**2 - 3*z + 3*z)*(3*z**3 + 0*z**3 - 5*z**3) + 7*z**5 - 4*z**5 + z**5.\nAnswer: 9*z**5 - 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (55 + 106*c + 243*c - 55)*(-21*c**2 + 10*c**2 + 17*c**2) to v + p*c + r*c**2 + t*c**3 and give t.\nAnswer: 2094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45125 and 950?\nAnswer: 90250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 30838.\nAnswer: 3\/30838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 14*x**2 - 1. Let m be i(1). Let v be m + -11 + (-1 - -1). Solve v*c + 8 = 6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/5 and -23\/2069?\nAnswer: 10345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 22639586.\nAnswer: 1811166.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3485510\/(-144942) - 2\/(-42)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 16*j - 37*j + 21*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9 + 11*q - 3*q + 14 - 2*q**2 + 8*q. Let l be o(8). Solve -l*g + 4 = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - l - 11 = 0, 3*l - 12 = 0. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 3*r - 7. Let p be o(5). Is -16 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31826, 31816, 31800, 31778?\nAnswer: 31750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -25*t**2 + 6*t - 24. Let k(v) = -38*v**2 + 10*v - 36. Let n(j) = 5*k(j) - 8*q(j). What is the tens digit of n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*((-8)\/(-44) + (-45)\/66). Suppose -i*d = -344 - 988. Is d a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 844223284 to the power of 1\/2, to the nearest integer?\nAnswer: 29056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/3 + -3*(-566)\/18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Put 2, -1, r in ascending order.\nAnswer: -1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 93535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 7*h**2 - 2*h - 8. Let p be k(-7). Solve -u = p - 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17864574, -17864575, -17864576?\nAnswer: -17864577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.0838 + -4.13. Round o to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 1\/7, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132\/27 - (-2 + (-1 - -7)))\/(-2).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 232504551 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zaugyuauzu. What is prob of picking 1 y and 1 a?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14333406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*r + 4*l = 10, l = 4. Let q = 9.9 - 9.5. Let y = -121\/840 - -2\/105. Which is the third biggest value? (a) q (b) r (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*u + 50 = -3*s, 3*s - 67 = -u. Let j be 6\/(-8) + s\/4. Which is the closest to -1? (a) j (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*((-2)\/4 + 1). Suppose -h*b - 7 = -4*z - 2, -5*b - 5 = -2*z. Let j be 10\/4*(-9 - -11). Solve -5*a = j*q + 30, 0 = -z*q - 5*q - 2*a - 27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/55)\/d)*d**21)\/(d**(-5\/4)*d**(3\/19)) assuming d is positive.\nAnswer: d**(100857\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-4 + 6 - 2). Suppose -4*x + 2*o + 46 - 186 = c, 5*o - 170 = 5*x. List the prime factors of x\/(-1) - (6 + -3 + -4).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 1267\/3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19314942 divided by -5\nAnswer: 19314942\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7295 * -50.\nAnswer: 36.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u + u - 3*u + 2*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17200, -34398, -51604, -68824, -86064?\n\"Answer: -n**3 + 2*n**2 - 17197*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + l - 16. Let m be l + 3 - 0 - 1. Let s be 6\/((-36)\/(-21)) - m. Which is the closest to 1? (a) 5 (b) 3\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2893.9 + -2894. Which is the fifth biggest value? (a) -15 (b) 2\/3 (c) -2\/3 (d) v (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 483376973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1296, -1206, -1154, -1140, -1164?\n\"Answer: -19*t**2 + 147*t - 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eg when two letters picked without replacement from rebbg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7\/(-28))\/((-15)\/(-24)). Which is the closest to 0.1? (a) o (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -116 (base 10) to base 3\nAnswer: -11022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.558 rounded to the nearest integer?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 15 + (-13 - -12) + 0 + 72\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4089 + 17936 = 0. Let l = g + 26489\/6. Find the common denominator of l and -143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*b**2 + b + 31*b**3 + 7 - 33*b**3 + 0*b - 20*b**2 to m*b + c*b**2 + a*b**3 + q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -1\/7 (c) -5 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**3 - 7*w**2 - 1. Let p = -1437 + 1441. Let y(h) = 6*h**3 - 7*h**2 - 1. What is p*y(v) - 5*b(v)?\nAnswer: -v**3 + 7*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*x - 119*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/17 - 80*i**2\/17 + 154*i\/17 - 76\/17.\nAnswer: 2*(i - 38)*(i - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 17*z + 1. Let r(p) = 1. Let o(k) = g(k) + 2*r(k). Let h be o(1). Differentiate -3*x**2 - h*x**2 + 3 + 12 + 9*x**2 with respect to x.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 4*w + 3. Let x be t(2). Suppose -5*f - 3*j + x = 0, -4 - 8 = 3*j. Let i(g) = g**3 - 4*g**2 + 2*g - 3. Give i(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and 0.47.\nAnswer: -6.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -6077242?\nAnswer: -6077238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14621 (base 8) to base 5\nAnswer: 202140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 601 + -600.298. Let d = 0.70201202 - p. Round d to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.5441756 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2721 - 2201. Calculate the highest common divisor of 460 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5949, 11674, 17401, 23130?\n\"Answer: h**2 + 5722*h + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 9*k - 12. Suppose 13*v - 10*v - 33 = 0. Let y be f(v). Round y to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952*r + 74589 = 2291*r for r.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 3*o**2. Let b(y) = -2*y**3 + 6*y**2. Suppose 0 = a - 5 + 9. Let i(g) = a*b(g) + 10*d(g). Solve i(z) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*m + 2*b = -971*m + 29 + 1, 5*m - 4*b + 30 = 4*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 2 (c) -122963 (d) 2\/445\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 4, 0 = 2*w + 126*b - 133*b - 3063. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6*8 + 249. Suppose d = 6*d - k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3415)\/5464)\/(2\/(-16)) - (-25)\/20.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1963*g + 982*g + 986*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-6*sqrt(56)*-4)\/(1*sqrt(128) + 1*sqrt(128)))**2 + -4 + -4.\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -282761 divided by 16633?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 9 = 0, v + 1 = 720*f - 722*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.09 minus 2516.56?\nAnswer: -2552.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*k + 144*k - 72*k - 4 - k + 0*k - k + (6 - 2 - 2)*(2 - 2 + 2*k).\nAnswer: 3*k - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166909009*d**2*h**2 - 255*d**2*h - 403*d**2 + 27*d*h wrt h?\nAnswer: 333818018*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17787493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079807344 rounded to six dps?\nAnswer: -0.007981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - l = -3, 3*l - 5 = 5*t - l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = 4*u + 2*z - 282, 0 = -5*u + 3*z + 502. Let d be 28\/u + 906\/14. Suppose -8*t + 0*t = -104. What is the greatest common factor of d and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i - 10. Let f(a) = -a**3 + 39*a**2 - 76*a + 74. Let x be f(37). Calculate t(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162407 to the power of 1\/2, to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 7*p**5\/15 - 3*p**4\/4 + 41*p**3\/3 - 114*p**2. What are the prime factors of q(6)?\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**3 - 4*f**2 + 11*f - 73. What is the remainder when x(6) is divided by 353?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3847 is divided by 84.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -193\/10 at most as big as -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + sqrt(77)*-4 + sqrt(77) - sqrt(77))*1*-1)\/((sqrt(539)*-3 - sqrt(539))*-4))**2.\nAnswer: 9\/1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -139\/15 + 28\/3. Let s = -4.76 - -6.76. Put s, -2\/9, c in decreasing order.\nAnswer: s, c, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 27412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.25, -0.1, -5, 232, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2326 (base 8) in base 7?\nAnswer: -3416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j. Let f(c) = -2*c**3 - 12*c**2 - 4*c - 5. Let w(v) = 2*v**2 + v + 1. Let a(y) = f(y) + 6*w(y). Determine -a(x) - 5*h(x).\nAnswer: 2*x**3 + 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4520974 and -414.461?\nAnswer: 4520559.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**7\/5040 + b**5\/20 + 3*b**2. Let t(j) be the third derivative of r(j). Let d(w) = 8*w - 387719 + 387719. Give d(t(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4576)\/(-104))\/(112\/(-28))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3291*k**3 - 1649*k**3 - 1638*k**3 + 130*k**2.\nAnswer: 4*k**3 + 130*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 14. Solve 0*x + 15 = -c*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -5*o**4\/12 - 92*o - 1. Let m be (6 + 0)*3\/6. Let s(i) = m - 3 + 2*i**2. Calculate k(s(g)).\nAnswer: -20*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/(-18) - (13\/(-143))\/((-18)\/33).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.33, 3?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15286?\nAnswer: 2, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185583844.\nAnswer: 2, 46395961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**5 + 940*k**4 + 112628*k**3 + 3538724*k**2 + 34323520*k + 103174400 = 0.\nAnswer: -40, -7, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -6, 3, -0.13, 4, 133, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -63.4, 2\/11 in descending order.\nAnswer: 4, 2\/11, -4, -63.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 623127161 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/59545206 and -4\/2673.\nAnswer: 654997266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-170)\/(-3570)*(-1)\/1.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + 5. Suppose -588 = -3*d - 3*q + 5*q, -4*q - 588 = -3*d. Calculate the least common multiple of (d\/21)\/((-4)\/(-6)) and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13553\/169725 - -1\/6789. Which is the second smallest value? (a) n (b) -4 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 186 + -198. Let r be (-12)\/(-18) + (-16)\/b. Solve 1 = k + r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 3, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/36 and -163\/1440.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/87)\/((3655\/3354)\/85)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*g**2*r**3*t**2 + 12*g**2*r**3 - 5*g**2 + 105*g*r**2*t**2 - g*r**2 wrt r.\nAnswer: 144*g**2*t**2 + 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71977955 to the nearest integer?\nAnswer: 8484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2598*g - 1571*g + 50028 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*x + 5304 = 2460 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 44*v - 99. What is c(-28)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*h - 7 = 3, 2*u + h = 10. Suppose 6*m = -u*m + m. Does 3 divide (35\/15)\/(m - (-2)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.06 - 0.06. Let r = 7 - y. Which is bigger: r or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beebbbeebeee. Give prob of sequence ebe.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -92*s**2 - 754*s. Calculate q(-8).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 1:26 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 2*a**2 - 4*a + 2. Let o be c(4). Let z = -121 - o. Let q(i) = i + 2. Determine q(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -134 + 122.2. Let q = 118132 - 118143.8069. Let k = q - g. Round k to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/10 and -5\/145698?\nAnswer: 728490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.815 + 3.9. Let o = -13.3599 - -13.28. Let q = n + o. What is q rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 24 - (1 + -2). What is the highest common factor of y and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + 9 + -4 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 117 = -105. Let u(p) be the third derivative of 7\/6*p**3 - 3*p**o + 0*p + 0 + 7\/24*p**4. Let r(w) = -w - 1. Give -6*r(y) - u(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 22020110?\nAnswer: -22020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((7\/(-28))\/(2\/(-4)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.2 - -3.2. Let j = 14.15 + l. Let a = -0.15000072 + j. Round a to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 2*b**3 + (-4*b**2 - b + b)*(-5 + 2*b + 5) + 20*b**3 + 2*b**3 - b**3 + 2*b**3 - 2*b**3 - b**3 in the form c*b + j*b**3 + f + z*b**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.6 + 8.599772. What is q rounded to 5 dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -m + i - 99, 438 = -4*m + i. Let r = 178 + m. What is the remainder when r is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184\/(-770) + 12 + (-13 - 221\/(-187)).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-20)\/l)*l*l\/(l*(l\/l**(2\/19))\/l*l))**28)**(-20\/11) assuming l is positive.\nAnswer: l**(-235200\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1831756 by 63164.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-150)\/(-425))\/((-196)\/(-2499))*4\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -751000 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -106, -82, -10, 134, 374, 734?\n\"Answer: 4*o**3 - 4*o - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 367832826.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(228)\/(2*sqrt(12)) + -2 + sqrt(19) + (-1 + sqrt(19) - sqrt(19)) - sqrt(76)\/(sqrt(1176)\/sqrt(6))).\nAnswer: -19*sqrt(19)\/14 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/80 and 119\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 + 242*r\/9 + 1400\/3.\nAnswer: 2*(r + 21)*(r + 100)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -893 - 27?\nAnswer: -8ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19680, 19737, 19832, 19965?\nAnswer: 20136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -0.5, -10, -0.89?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c9 + 3?\nAnswer: 4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9930 and 358142?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3\/2 - 19*v**2\/4 - 10*v + 25\/4 = 0.\nAnswer: -5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99\/463 or 2?\nAnswer: 99\/463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.4861 to one decimal place.\nAnswer: -133.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 224000 (base 5) in base 10?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1019 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -29 - 10*p + 29 - 14*p. Let b(f) = 13*f. Let l(w) = 11*b(w) + 6*z(w). Let x(d) be the second derivative of d**4\/6 - d. What is l(x(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 20. Calculate the remainder when (-3 - -65)*77\/22 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 15 = 0, 8 + 10 = 3*m - 3*r. What is the highest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 36759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 - v**2 + 4*v**2)*(-8*v**2 + 3*v**2 + 14*v**2) - 3*v + 3*v + 2*v**4 + (4*v**2 - 2*v**3 - 4*v**2)*(0*v + 2*v + 0*v).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6406 = -2*x, 4*x = -14*z + 16*z - 3188. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75055 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 5. Let o be d(-7). Suppose -3*c + 3*k - o*k = -8, k = 2*c - 5. Suppose -420 = -8*a + c*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a + 11*a - 11*a)*(-2 - 1 + 1) + a - 2 + 2 + 4*a - 19*a + 6*a - 2.\nAnswer: -28*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 572378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 861*f - 349. Is a(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17405*l + 1 = -4*u - 17404*l, 0 = 4*l - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*y + 207658 + 7477 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 2*b**2 + b + 2. Let d be m(-2). Let r = 11022005\/1679 + -118741\/23. Let l = 1402 - r. Is d bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/15 - 826\/(-210). Solve 2*u + 3*m = r, -4*m = -0*m + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25273, -55211, -85153, -115099, -145049, -175003, -204961?\n\"Answer: -2*l**2 - 29932*l + 4661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-331)\/6620*1360\/(-18).\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 10:19 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 132 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + (32 + -39 - (-5 + -2)) + 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 491939 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfnn. Give prob of sequence fnnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/209100 - -393735289\/2300100. Let w = 1908\/11 - d. What is the common denominator of w and -103\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 - 33. Let w = -11 + b. Calculate the greatest common divisor of w and 114.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b195 - 2?\nAnswer: -1b197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 454358.9nm to micrometers.\nAnswer: 454.3589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x. Let v = -6 - 0. Let l(q) be the first derivative of 5*q**2\/2 - 3513. Determine v*l(g) + 14*d(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468038961.\nAnswer: 3, 13, 31, 43, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -0.5, 52?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-7 - 29) + 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5 + 12 + 1 - 2*g. Let u be z(10). Let n(a) = a + 4. Let h be n(u). Sort h, 0, -1 in ascending order.\nAnswer: -1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59151154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20404025 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: Let k(f) = -367*f + 2202. Let j be k(6). Let w(p) be the third derivative of 0*p**3 + j*p**4 + 0 - 8*p**2 + 0*p - 1\/120*p**6 + 1\/60*p**5. Factor w(i).\nAnswer: -i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htb when three letters picked without replacement from {h: 1, c: 1, m: 1, b: 1, z: 1, t: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 7*m**2 + 1439. Let q(u) = 1. Let o(w) = -3*w + 8. Let h(y) = 3*o(y) - 24*q(y). Calculate h(d(t)).\nAnswer: -126*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -549.\nAnswer: -54.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8360731*d**2 - 368691*d wrt d.\nAnswer: 16721462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -665 - 10?\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + sqrt(1377)) + 3.\nAnswer: -9*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000053 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 5*c - 100, 68*c - 131*c = 4*l - 65*c + 28 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 times -18.4?\nAnswer: 165.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i + 48. Let j = -33 - -27. Let v be q(j). Suppose -2*o = 5*x - 2, -2*x + 4*o + 17 + 3 = v. Solve -2*f - 2*n - 2*n + 8 = 0, -x = -3*f - n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2 + 6. Suppose 3 = -2*c - 5, -72 = -4*h + 2*c. Calculate the least common multiple of b and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 865288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*d = -855, 4*y + 4*d + 814 = -342. Let j = -144 - y. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 180720, 180726, 180732?\n\"Answer: 6*z + 180714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 30 (b) -0.01 (c) 1 (d) -3 (e) -11855\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 - 19*g - 20. Give b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v = 10. What is the units digit of (-1 - (2 - v))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*x + 7*x = 48, x + 3 = 0. Let o(b) = -b**2 - 10*b - 10. Let c be o(-11). Let n be 0 - -2 - c\/k. Solve -3*p = -n, 0*a = -4*a + 4*p + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 - 2*h**3 - 1 - 4*h**2 - 3 + 5*h**3 - h. Suppose -5*a + 34 = -3*i, i = 4*a + 2*i - 17. What is the lowest common multiple of 6 and x(a)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 8328619?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3325 divided by -25289\nAnswer: -175\/1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*f**4 + 785*f**3 + 2955*f**2 + 3015*f + 810 = 0. Calculate f.\nAnswer: -18, -3, -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5070910080 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 33 + 39. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 47258335, 47258336, 47258337, 47258338?\n\"Answer: n + 47258334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.7974747 - -1.797. What is a rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 6\/4)*6\/(-9). Let w be (-3)\/9 + ((-336)\/(-9) - y). Calculate the greatest common factor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1052221+1.9750351\nAnswer: -1052219.0249649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165998.\nAnswer: 2, 7, 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = -3*t. Let d(b) = 22*b**2 - 35*b - 1. Let w(c) = 20*c**2 - 30*c - 1. Let r(l) = -6*d(l) + 7*w(l). What is r(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 16*p - 243. What is the remainder when z(41) is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -59 (b) -0.3 (c) 4 (d) 0 (e) 1.7 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 + 99. Let q = 23 + x. Let w = 81 + q. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -444, -824, -1160, -1434, -1628?\nAnswer: -1724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -9*w**2 - 6*w. Let y(u) = 9*u**2 + 8*u. Let p(d) = -4*k(d) - 3*y(d). Let i(r) = r**2. Calculate p(i(x)).\nAnswer: 9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)*f)**(-2\/117) assuming f is positive.\nAnswer: f**(8\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 2, 0, -1\/4, 3\/4, -2.7, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 27. Let i(q) = -5*q + 2. Calculate the remainder when 127 is divided by i(g).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9792)\/1296*(3\/10)\/((-9)\/(-135)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 = 270*i - 241*i for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, 3, 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8629*u - 5 + 8636*u + 8691*u - 25969*u + 5.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + 4 + 3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37833*p + 75649*p - 37818*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 - 2)*(-18*y + 8*y - 17*y) + 0*y + 0*y + 5*y)*(-2 + 1 - 13) in the form j + i*y and give i.\nAnswer: -1582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -7) + (4 - 23).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2787 and -11436389?\nAnswer: 11433602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Suppose -18 - 22 = -8*w. Let m(a) = -a**3 - 5*a**2 - 5. Let o be m(-5). Sort u, o, w in decreasing order.\nAnswer: w, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2480799 and 2967.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*j + 6 = 0, 0 + 8 = g + 5*j. Suppose -g*s + 5 + 7 = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 26. Let m(j) = -j**2 - 3 + 3*j + j**2 + 2*j**2. Let g(r) = -2*r**2 - 4*r + 4. Let w(t) = 3*g(t) + 4*m(t). Give w(y(s)).\nAnswer: 2*s**2 - 104*s + 1352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -872237\/652080 - -1\/8151. Calculate the common denominator of g and 93\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + -5 - -25) + -20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143 and 12883.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2174934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.56 - 366.44. Let q = j + 225. Let u = q + 142.93. Round u to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28.49 and 0.3671266.\nAnswer: -28.1228734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 340752 + 15?\nAnswer: 340767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(3\/5)\/j)\/j**(2\/3))\/(j**(-1\/2))**18 assuming j is positive.\nAnswer: j**(119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 - 34*t + 288. Let c be j(0). What is the highest common divisor of c and 416?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from spv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22815 + 19208215\nAnswer: 19231030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4466323 to the nearest integer?\nAnswer: 2113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**4 + 12*y**3 - 13*y**2 + y**2 - y**4 + 4*y + 0*y**3.\nAnswer: -4*y*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(104)\/sqrt(4) + -2*sqrt(26)*-3)\/(-3*4*(sqrt(2) - (sqrt(16) - sqrt(144))\/sqrt(8))).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 44.41039 millennia?\nAnswer: 532924.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 4*i + 4*i)*(i + 0*i + 0*i) - 3*i**2 + i**2 + i**2 + (3*i - 4*i - i)*(4 - 4 - 2*i) - 5*i**2 + 6*i**2 + i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 418, -4, 1092, 0, -1 in ascending order.\nAnswer: -4, -1, 0, 4, 418, 1092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011000110101000101100011 + -11?\nAnswer: -111011000110101000101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100111111110011 + -1?\nAnswer: -100111111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m - 2*m**2 + 2*m - 6*m + 12*m**3 - 276*m**3 to r*m + n*m**2 + q + h*m**3 and give h.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 30. Let i = -174 - -177. What is the remainder when n is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 14) to base 7.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -627.\nAnswer: 16\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -18 - 28 - 2 + 80 - 25 - 14*v. Give f(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -k**5\/6 + 2*k**4\/3 - 8*k**3\/3 - k**2. Let n = 90 - 106. Let f(x) = 3*x**2 - 5*x + 5. Calculate n*f(v) - 5*c(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 440420 and 17385?\nAnswer: 1321260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 34*g - 14. Let o be j(15). Suppose 9*p - 13*p = -o. Let d = -51 + p. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002400992 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2520140 and 6128.\nAnswer: 10080560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*s**4 + 2 - s - 6*s**3 + 0*s + 2*s as w*s**3 + q*s**2 + u + d*s**4 + m*s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*q - 3*q - l, q + 1 = -l. Find the common denominator of (17\/(-4))\/(5\/q) and -27\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 63 + 232*s - 119*s + 2 - 112*s.\nAnswer: s - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61741 is divided by 1579.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*r + r + 5530 = 0, 4*r = 4*d - 4416. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 349.4502 to one dp.\nAnswer: 349.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuy when three letters picked without replacement from uuuuuyuu?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 59027623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -90229.9 and -57.\nAnswer: 5143104.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -81 (b) -2 (c) 67\/3 (d) -17\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-3)\/27)\/((-6)\/6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2923, 5652, 8193, 10546, 12711, 14688, 16477?\nAnswer: 18078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + (28 - (-1 - 3 - -12)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -20414*r - 2236691 + 2236691 as k + t*r and give t.\nAnswer: -20414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/420*-6*(-21)\/2. Let v = -4318\/15 + 288. Which is the fourth smallest value? (a) 5 (b) q (c) 0 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -16*f + 9*f + 56754. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011686 rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16458289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 275 + -253. Calculate the smallest common multiple of m and 268.\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 676, 707, 764, 853, 980, 1151?\nAnswer: 1372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**5 + 1568*s**4 - 280*s**2 - 1376255*s.\nAnswer: -20*s**3 + 18816*s**2 - 560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*b**5\/2 - 230768*b**4\/3 - 119536788*b**3 - 61918446240*b**2 + 1250926488*b.\nAnswer: -b*(b + 1554)**3*(99*b - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152 - -274. Let c be w\/2 + -5 + 9. Is 376\/10 - (-26)\/c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 537 and 0.07338.\nAnswer: 39.40506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.3 (c) -2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 4, l: 2}. Give prob of picking 1 h and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let x be -2*2\/(-8)*-6. Let a be (-1)\/(-12) - (-1)\/x. What is the biggest value in -0.2, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o. Let h(p) = -p. Give j(h(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 9:59 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2028)\/(-3330) + 2\/(-6) and 71\/4.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860, 2293, 4298, 6875?\nAnswer: 10024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 25*k + 7. Let d(h) = -h**2 - 12*h - 3. Calculate -7*d(o) - 3*m(o).\nAnswer: -2*o**2 + 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 26. Calculate the lowest common multiple of a and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 - 132*r = 0. What is r?\nAnswer: 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 21*u)*(9*u**3 - 3*u**4 - 9*u**3).\nAnswer: 63*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1393207 to four dps.\nAnswer: 0.1393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56 + 15*o**3 + 1917*o**2 + 1915*o**2 - 3832*o**2 + 10 - 3*o to the form m*o**3 + x*o + l*o**2 + n and give n.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/111*(-3)\/(-6). Let r = 266\/1221 + s. Is r < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kthtthf. Give prob of picking 2 t, 1 k, and 1 h.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*v = 102*v + 1288. What are the prime factors of v?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -641154, -1282321, -1923490, -2564661, -3205834?\nAnswer: -3847009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 6 = -4*h, 0 = -2*r - 3*r - 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(7\/8)*h)\/(h\/(h\/h**(-5\/2))))\/(h*h**(-1\/4))**(-6\/29))**32 assuming h is positive.\nAnswer: h**(4204\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/280 - (761185\/(-70) + (-60)\/10)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43, 79, 107, 127?\n\"Answer: -4*m**2 + 48*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 + -44. Suppose -9*b + 4*b = -h. Solve -2*z + 9 = -g, 3*g + b = -0*g + z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132651 - 60488909\/456. Let p = -130\/3191 - -30539\/44674. Find the common denominator of n and p.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*a**5 + 6*a + 52*a**5 - 28*a**5 wrt a.\nAnswer: -180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 13*w**5\/5 + 2*w**3 - 36*w - 90. Find the first derivative of m(k) wrt k.\nAnswer: 52*k**3 + 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*g - 3080 + 2*g**4 + 3080 - 3*g**3 to f + n*g**2 + b*g**3 + w*g**4 + x*g and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**4\/12 - 3*i**3\/2 + 1806*i**2. Let u(t) = t + 1. What is 6*u(h) + x(h)?\nAnswer: 4*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i - 6. Suppose 3*p + 11 = -1. Let v be u(p). What is the greatest common factor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 + 2*j + 6*j + 46*j to the form a*j + s and give a.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {g: 4, e: 2, b: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3020202203 (base 4) to base 6.\nAnswer: -25334455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - j - 29 = 6, -2*z - 26 = -2*j. Calculate the smallest common multiple of ((-8)\/(-6))\/((-8)\/z) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.68309 times -0.5?\nAnswer: 3.841545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -366.7?\nAnswer: -366.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 11*z + 3. Let s(i) = -i + 1. Let w(u) = g(u) - 3*s(u). Let b be w(14). Differentiate 21 - 7 - d**4 + b*d**4 - 2*d**4 wrt d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4450 - 7?\nAnswer: 4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 7*x**2 + 3*x - 3. Let u be b(-6). Let l = -7769\/5 - -1552. What is the common denominator of l and (-6)\/u + 186\/40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 47*o**2 - 3*o. Let s be w(-1). Sort 3, s, 5 in ascending order.\nAnswer: 3, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4433033 * -5.\nAnswer: 22165165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-8 + 23) - -24.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*a**2 + 23*a**2 - 9*a**2 - 31*a**2 to the form s*a**2 + w*a + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 954973?\nAnswer: 954973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*k = 9, -5*v + 26 = 4*k + 10. Suppose 4*q - 4*d - 76 = -0*q, q = v*d + 10. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 6569?\nAnswer: 6565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12469, 12463, 12457, 12451?\nAnswer: 12445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58834933\/6 at least 9805823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.51 - -0.17. Let o = l - -0.3. Let r = 1.04 + o. What is the second biggest value in 2\/3, r, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*q + 94*q + 48. Let s(g) = 3*g + 3*g**3 - 2*g**2 - 4*g**3 - q + 10 - 3*g**2. Give s(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 446.\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.28219 + 1397.61781. What is f rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 9*k**2 - 3. Let x be f(-9). Let i = -8 - x. Put -1, i, 1 in decreasing order.\nAnswer: 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (150\/25)\/((-3)\/(-6)). Solve k*o - 4 = 16*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2857, 5560, 8251, 10930, 13597, 16252, 18895?\n\"Answer: -6*f**2 + 2721*f + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -529?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 22105, 2, 11, -2 in ascending order.\nAnswer: -2, 2, 11, 22105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 30*l**3 - 7*l**2 + 7*l + 4. Let r(v) be the third derivative of -v**6\/8 + v**5\/20 - v**4\/8 - v**3\/3 + 361*v**2. Calculate 7*r(n) + 3*s(n).\nAnswer: -15*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/4))**(-3\/22))**(-31))**4 assuming s is positive.\nAnswer: s**(93\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w + 9 = 0. List the prime factors of 79\/w + 6\/27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -98acd - -14?\nAnswer: -98ab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12997 and 49135?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*sqrt(112)*-1*3*-4*6*6)**2*-2.\nAnswer: -26127360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -77. Let v(l) = -l**3 + l**2 + 5*l - 1. Calculate the smallest common multiple of 5 and v(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 18180, 17671, 17162?\n\"Answer: -509*f + 18689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24244425 + 10344?\nAnswer: -24234041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + -39 + 14 - 9?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 6. Let f(g) = -g - 8. Let c be f(-14). Suppose -11 = -c*b + 19. Suppose b*q + 18 = -q. Determine n(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 84.04236us?\nAnswer: 0.000001400706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16936 + -84600426.\nAnswer: -84583490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 4:00 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n**2*u**2 - 2*n**2*u + 3*n*o*u - 4*n*o - o*u - 10*u**2 + 14*u wrt n.\nAnswer: 2*n*u**2 - 4*n*u + 3*o*u - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (-4 + sqrt(68)*-5)**2).\nAnswer: -1711 - 80*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 9. Let s = -9 - -5. Calculate u(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-10 + -8 + 5 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Suppose 2*i = -k - 25, -i - 4*k + d*k - 11 = 0. Let c = 17 - 11. Let z(b) = 2*b**3 - 13*b - 13. Let f(q) = q**3 - 6*q - 6. Give c*z(l) + i*f(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 762 - 763.948. Let n = 1.8 + z. Round n to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(96)\/sqrt(4) + sqrt(24))\/sqrt(12))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1165*u - 162 = -1171*u. Suppose -2685 = u*n - 30*n. List the prime factors of n.\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232 and 104.\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/98 in 4\/3, 8, -5, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6729564?\nAnswer: 2, 3, 560797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42474, 40212, 37950, 35688?\nAnswer: 33426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:30 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 50034989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 45399520?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l. Let p(m) = -5*m + 1. Let y(h) = 10*h - 421. Let i be y(43). Let s(b) = i*t(b) - 2*p(b). Calculate s(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.16 * -19554.\nAnswer: -179114.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 1279, 3295, 6115, 9739, 14167, 19399?\nAnswer: 25435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 242\/434 + -6 + (-39)\/(-7). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4. Let y(w) = w**2 - 4*w + 8. Let b(g) = -g - 1. Let m(h) = -3*b(h) - y(h). Calculate m(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003966575 to five dps.\nAnswer: 0.00397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1881 and 248083.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.15143 and -7.5.\nAnswer: -7.65143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92540.3ms to nanoseconds.\nAnswer: 92540300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 + 571*h + 198. What is j(191)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -353257*b**2 - 127*b - 364295988 with respect to b.\nAnswer: -706514*b - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18586136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/2 - (13 + -7). What is the nearest to -0.1 in -1\/2, 0.4, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10065 and 143.\nAnswer: 1439295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ae1 - -3?\nAnswer: -ade","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.132 - 0.868. Let g = -23176845\/203 - -114172. Let f = g + -6\/29. What is the nearest to t in 2, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2, -20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + ((-135)\/(-33) - 2). Let q be 30\/195 - (-732)\/(-26). Let u be q\/4 + 4 - -3. Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -80. Suppose 5*q = -10*q + f. Which is the third smallest value? (a) 1\/2 (b) q (c) -2\/7 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a decade?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -198 - -198. Suppose -9 = 3*p - m, 4*r + 3*p - 1007 = 0. List the prime factors of r.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -426 at most 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/10)\/(-6*(-22)\/7260)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1027.\nAnswer: 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/80 and 97\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((684\/(-114))\/(-10 + 4))\/(1*7). Let v be (-69)\/60 + 4\/10. Sort -5\/4, -1\/3, u, v in ascending order.\nAnswer: -5\/4, v, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1169 = -2*d - 11*f + 1136, 0 = d - f - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -86, 0, -5, -14, 4 in increasing order.\nAnswer: -86, -14, -5, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -30206*m**2 - 2*m + 763. Let r(j) = 15103*j**2 + j - 393. Let i(u) = 4*l(u) + 7*r(u). Find the second derivative of i(t) wrt t.\nAnswer: -30206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s. Let t(x) = 3*x - 4. Let q be t(3). Suppose 35 = q*c + 5. Let r(k) = -4*k**2 + 0*k**2 + c*k**2. Calculate p(r(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -16*d**2 - 3*d + 2. Let r(m) = -17*m**2 - 3*m + 2. What is -3*r(p) + 2*w(p)?\nAnswer: 19*p**2 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -23057?\nAnswer: -92228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 14*o - 1. Let d(r) = -102*r**2 - 9*r. Calculate u(d(z)).\nAnswer: -1428*z**2 - 126*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4711034, 9422090, 14133146, 18844202, 23555258?\n\"Answer: 4711056*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-12 - -7) - (84 + -7 + (0 - 1))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/68928 and -71\/1884032.\nAnswer: 5652096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -768, -779, -780, -765, -728, -663?\n\"Answer: q**3 - q**2 - 15*q - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 3 + 1\/2*g**2 + 0*g + 4\/3*g**3. Factor o(f).\nAnswer: f*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-120)*(-6)\/2)\/((-90)\/(-50)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 927814861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:40 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215215 (base 6) in base 14?\nAnswer: -197d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 366, 541, 716, 891?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -5*m - 278 + 301, 3*t + 25 = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14177 - 3753. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 594 and 837?\nAnswer: 18414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4025.6 rounded to the nearest one hundred?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-126)\/(-24))\/(2\/(-72)). Let s be 2410\/126 - 81\/z. Let f = -4919\/252 + s. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(33\/11))\/1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -194210.2 and -3.\nAnswer: 582630.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46837841 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/19 + 8*u\/19 + 24\/19 = 0. What is u?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6965*j. Let k(h) = 28*h. What is s(k(q))?\nAnswer: -195020*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 76?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 7 + 27 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4552 times -1.119?\nAnswer: -2.7473688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 - -163 - (-2 + -8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Find the third derivative of -4*f**x + 2*f**6 - 3*f**6 + 2*f**6 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-4*x + 5*x - 3*x)*(6*x**2 - 3*x**2 - 23*x**2).\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (-10 + 14)) + 0 + -16 - -38.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (264\/(-42) - -6)\/(2\/(-98)). Suppose x*q - 160 = 8. Solve -u = 4*j - 4*u + q, 0 = 5*j + 4*u + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1da3a (base 14) to base 11.\nAnswer: 521a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.153710111 rounded to two decimal places?\nAnswer: 12.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 22 + 12 + 3*f - 2*f + 32 to g*f + z and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1621*g**6 + 40*g**5 - 14759*g**2 + 6*g.\nAnswer: -194520*g**3 + 2400*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(672) - (sqrt(672)*-1 + sqrt(672)))*1)\/(-2*(-1*sqrt(150)*-3 - sqrt(150))).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9476 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, -10, -4, 6.\nAnswer: -10, -5, -4, -3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0957 and -44927217.\nAnswer: -44927217.0957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**9\/1512 + a**7\/2520 - a**4\/2 - 9*a. Let u(c) be the third derivative of g(c). What is the third derivative of u(w) wrt w?\nAnswer: 240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003089682 to six dps.\nAnswer: 0.000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 13*h**2 - h + 7. Calculate b(-13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*u - 616, -2*h + 134 + 110 = 2*u. Let j = h + 318. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195975405 or 195975407?\nAnswer: 195975405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-72)\/15))\/1*24735\/(-2425)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 325\/195*(-8)\/(-10).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125951, 125943, 125935, 125927, 125919, 125911?\nAnswer: 125903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004785472093 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100200211 + -201102?\nAnswer: -101102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 11 = 5 + 68 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82207 is divided by 20507.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3*i + 0 + 4*i)*(4 + 0 + 0)*((2*i + 0*i - 3*i)*(0 - 1 + 0) - 5*i - 5*i - 19*i + 2*i + 0*i - i) to p*i**2 + n + f*i and give f.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3047 and -260?\nAnswer: 339.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 16*g**2 - 55*g + 15. Calculate s(-19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 49. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**7\/70 + 7*a**5\/60 + 5*a**2\/2 + 5. Let t(p) be the second derivative of g(p). Find the third derivative of t(v) wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbvvbwbvzwww. Give prob of picking 1 w, 1 b, and 1 v.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v**2 - 8. Give o(-4).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*x**4 + 4796*x**3 + 9*x**2 + 26*x - 51700 wrt x?\nAnswer: 564*x**2 + 28776*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (12\/(4 + 32))\/((-9)\/(-24975)) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1975139*n - 1975147*n = -x - 59, 0 = -5*n + x + 35 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -496264, -992346, -1488428, -1984510, -2480592?\nAnswer: -2976674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + r + 5. Let k be v(0). Let c(n) = -n**2 + 5*n + 2. Let j be c(k). Is (2\/j*-22)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-9)*v)\/(v**9*v)*(v*v\/(v**(-1\/2)*v*v))\/(v\/((v**22\/v)\/v)) assuming v is positive.\nAnswer: v**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.188 + -0.1?\nAnswer: 1.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 41690?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d\/((d*(d**(-4\/5)\/d)\/d)\/d*d))))\/d**7*(d**(-2\/15))**(1\/13) assuming d is positive.\nAnswer: d**(-821\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(((-7304)\/2244)\/(-83))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 - 58*c + 22 + 118 + 191*c wrt c?\nAnswer: 133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21187681.\nAnswer: 281, 75401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-18)*(2 + 2). Let d = 29\/45 + m. Let j be (-2)\/(-3) - 6\/(-18). Which is the nearest to j? (a) -3 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541513 is divided by 140131.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:51 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34584*x**2 - 150*x + 35543410 with respect to x.\nAnswer: 69168*x - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = 30*q - 26*q - 32*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 204219501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -37. Suppose -i = -2*t + 30. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 745338?\nAnswer: -223601.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 10:46 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -2281, -1.2, -2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + m + 14 + 43*m + 29*m as s + t*m and give t.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19592462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2221\/(-510) - (-1 - 1\/(-3)). Let j = -3\/34 - h. Factor -j*u**2 + 14\/5*u + 4\/5.\nAnswer: -2*(u - 1)*(9*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49764, -49918, -50276, -50922, -51940, -53414?\nAnswer: -55428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -3, 3.1, 4\/7, 49 in ascending order.\nAnswer: -3, 0, 4\/7, 3.1, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3 + (2 - 8 + 4)*(0 - 2 + 0 + (-4 + 3 + 0)*(-1 + 1 - 1) + 4 - 19 - 20))*(3*d + 2 - 2) to the form k + f*d and give f.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d + -2?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 c when two letters picked without replacement from {b: 1, c: 1, n: 7, u: 5}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrtetun. What is prob of sequence nt?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 9*v**2 + 4. Let x be d(9). Suppose -11 + 51 = x*q. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -223.46 from -110933299.\nAnswer: -110933075.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 260, 572, 884, 1196, 1508, 1820?\n\"Answer: 312*b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 5*a + 12 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((4*sqrt(176) - sqrt(176)) + -2)*-6*5*-6)**2 + 0.\nAnswer: -1555200*sqrt(11) + 51451204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*v + 63 + 49 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o = 19*o - 41 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let i(h) = -322*h - 766. What is i(z(n))?\nAnswer: 322*n - 766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 24*x - 248. Let b be s(9). Solve -15 = 46*m - b*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 14*c - 16. Does 32 divide t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 928113768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.03 - -0.63. Let r = -3.5 - n. Let i = r - -1.1. Which is the biggest value? (a) -5 (b) i (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 jwwtjtttttteecctcecc. What is prob of picking 2 w, 1 j, and 1 e?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 - 47. List the prime factors of 826\/8 - m\/16.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*17*-3*127\/((-21844)\/86)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*((-6)\/(-3) - 476).\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 3 - -1 - -2. Suppose -2*n = -h*n + 21. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162586 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -29344.2 to the nearest 1000.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o**3 + 151*o**2 + o + 599. Let q be c(-17). Factor -11\/7*n**q - 24\/7*n**3 - 2\/7*n**5 - 2*n - 26\/7*n**2 - 3\/7.\nAnswer: -(n + 1)**4*(2*n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34.9, 24\/7, 2\/39 in decreasing order.\nAnswer: 24\/7, 2\/39, -34.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aamm when four letters picked without replacement from {a: 3, m: 12}.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 + 8*t**2 + 4 + 6 - 2 + 6*t - t**3. Let p be r(7). Suppose 0 = 2*g, 4*c + p = 2*g + 17. Solve -b - 8 = -2*j, -3*b + j + c*j - 21 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42452 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 506427?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - b. Let k(q) = -2*q**2 + 3*q + 4. Let c(a) = -k(a) - r(a). What is the remainder when 76 is divided by c(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, k: 3, m: 1, j: 1, x: 7, l: 4}. Give prob of sequence ql.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*w = r + 1085, 5520 = 5*r + 4*w. Suppose -4*c + r = -368. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 616 = -5*w - 451, 1500 = 4*a + 3*w. Is a < -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 4, k: 2}. Give prob of sequence kf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*(3*sqrt(22)*-2 + sqrt(22))\/(sqrt(6)\/sqrt(27))*4.\nAnswer: -120*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 88. Let y be m(26). What is the highest common divisor of y and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192172740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 726 (base 8) to base 5\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - b - 3, 7*c = 2*c - 5*b + 15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 14) in base 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f**2 - 10*f - 22. Calculate o(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1670.6 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 20. Let s be a(-15). Let l = -3 - s. Suppose 2*w + 3*f + 9 = l*f, -15 = -5*w + 5*f. Are -6\/7 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 10. Suppose q*n + 18 = -i, -4*n - n = -5*i + 35. Solve -3*p - i - 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9702.983752 to the nearest integer.\nAnswer: -9703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 5*q**2 + 15*q - 7. Let s be f(7). Let w(p) be the first derivative of -2\/5*p + 1 + 2\/15*p**3 + s*p**2. Suppose w(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22008 and 8736.\nAnswer: 1144416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 572\/117*3*(-9)\/6?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3\/6 - 9329*v**2\/3 - 56013*v\/2 + 112002 = 0.\nAnswer: -12, 3, 18667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/9 and 31\/67629.\nAnswer: 202887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -47*x + 1. Suppose -b + 5*g + 20 = 0, -502*b = -503*b - 2*g - 1. Let a(v) = v. Give b*a(d) - q(d).\nAnswer: 52*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.794 - -0.794. Is c < 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 8*q - 1 + q**2 - 6*q + 13. Let h be l(9). Let i(d) = -d**2 + 8*d - 9. Let c be i(6). Solve 5*g + 15 = 0, -c*f + 0*g + h = -2*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4 - 2610*m**3 - 852816*m**2 - 850208*m = 0.\nAnswer: -652, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (2 + (-7 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, g: 1, n: 3, e: 1}. What is prob of picking 1 y and 1 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4406027467 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j**4 - 2*j**2 - 1. Let o(k) = -5 + 6 + 0 + 5*k**2 - 4*k**2. Let z(n) = -l(n) - 2*o(n). What is the first derivative of z(t) wrt t?\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/2 - a. Let j(r) be the third derivative of 0*r**3 + 0*r + 4*r**2 + 0 + 0*r**4 + 1\/30*r**5. What is q(j(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - 2*x = -21*k - 191, 0 = k + 2*x + 175. Is k less than or equal to -183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5859 and 476253?\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + y - 1. Suppose -i = 2*i. Suppose i*s = f - 3*s + 12, -4*s + 20 = 0. Suppose -f*l = -2*w + 4, 5*l - 1 = -4*w + 7. Determine x(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.09, 2, -8, -7\/6, 18.6?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.54331 minutes to nanoseconds.\nAnswer: 2492598600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 1 = 17*a + 280*a - 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/(-525))\/(-1))\/(1\/(-5))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1765628.5, -5, -1\/5 in increasing order.\nAnswer: -1765628.5, -5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 3.5\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3778 - 2.3222. Suppose 0 = -s - 1 + 4. What is the nearest to 0.1 in s, 5\/4, u?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000728389 rounded to 7 decimal places?\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*d + 3870 = -52*d for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*t = 4072 + 2342 - 34 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**7\/105 + g**6\/75 + 4*g**5\/25 - 4*g**4\/15 - 16*g**3\/15 + 16*g**2\/5 + 87*g. Determine o, given that p(o) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81.315 + 81. Let r = -1.789 - y. What is r rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 217, -1127, 2 in decreasing order.\nAnswer: 217, 2, -9, -1127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7803988946076 + -0.11.\nAnswer: 7803988946075.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.233 + -0.24087. Round l to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -183, 19, 5, 4, 3 in decreasing order.\nAnswer: 19, 5, 4, 3, -1, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539343?\nAnswer: 3, 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 2.6. Which is the smallest value? (a) s (b) -5\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030987 (base 11) in base 3?\nAnswer: 10102022000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120026 (base 11) to base 3.\nAnswer: -100200010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 14 = -3*d, -5*d = -a - 3 - 12. Suppose 0 = -g - 5, d = -b - 4*g + 14. Is (0 - -205)*b\/80 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.16 + 0.44. Let l = 13.7 - g. What is the closest to l in -0.5, -0.2, 11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8210*y**4 + 251619*y - 251619*y + (2*y**3 - 3*y**3 + 3*y**3)*(-4*y - 4*y + 4*y).\nAnswer: 8202*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/90 and -2\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 886.7326ml?\nAnswer: 0.8867326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -57913, -115833, -173755, -231679, -289605?\n\"Answer: -v**2 - 57917*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 7*s - 7. Let j be n(6). What is the units digit of (j - (2 - 0))*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 8*s**4\/3 - 4*s**3\/3 - 44*s + 1. Let a(q) = -q + 21. Let g be a(18). Let l(p) = 11*p**2 - 3*p. Give g*x(z) - 8*l(z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1713141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1608369*x + 2460246.\nAnswer: -1608369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -2*z**2 + 67\/2*z**3 - 1\/6*z**5 + 1\/8*z**4 + 0*z - 40. Find the first derivative of s(g) wrt g.\nAnswer: -20*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81 + 12 - 11)*(-n - 2*n + n).\nAnswer: -164*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -9*j**2 + 18*j - 59. Let z(t) = -5*t**2 + 11*t - 30. Give -3*c(d) + 5*z(d).\nAnswer: 2*d**2 + d + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -4*d**3 + 288*d**2 + 4620*d + 16856 = 0?\nAnswer: -7, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 2 - 1. Suppose 3*a = 2*a + 2, z*y - 4*a = 1. What is the derivative of f**y - f + 1 + f wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2649 and 31310297.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1240141200 (base 5) to base 14\nAnswer: -5966c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*d**3*f + 151*d**3 + 2*d*f**2 + d wrt f.\nAnswer: -12*d**3 + 4*d*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112057912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**5\/20 - w**4\/4 - w**3 + 3*w**2 + w. Let y be a(4). What is the remainder when 3*1\/y*-20 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 290687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127020856.\nAnswer: 2, 15877607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -4*f + 36, -17*f + 110 = -1028359*p + 1028357*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3420 + -3420. Solve 96*u - 99*u - 15 = i for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*y + 21, 3*y = -5*x + 9 - 2. Suppose 3 + 9 = y*f. Suppose -d + 6 + 4 = 4*o, f*o - 14 = -4*d. Solve -2*h - 19 = h - k, 0 = -2*h - 2*k - d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.6311+0.1\nAnswer: -4.5311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2327 greater than -0.069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3 = -15. Let z = 10 + r. Let c = 21 + 5. Solve -o = -z*o + 2*u + c, -5*o + 5*u = -35 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -3 - (3 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**7\/b)**(1\/35)\/(b**(-14)*b*b*b\/(b**16*b)*b) assuming b is positive.\nAnswer: b**(951\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 80, 187, 386, 707?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, -4, 4, 2 in increasing order.\nAnswer: -9, -4, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 136 + 44. Let n be 4\/q + ((-12236)\/60)\/(-7). Suppose -21 = -2*r + 3*l - 7, -4*l + n = r. Calculate the highest common factor of r and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 1, 43*b = 3*z + 39*b - 123746. Suppose 2*y = -4*o + z, o + 4*y - 13723 = -3414. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 90 = 5*s - 8*c, -5*s + 4*c = 92. Let w be ((-48)\/s)\/4 - (-42)\/(-70). Solve w + 8\/11*v + 18\/11*v**4 - 32\/11*v**2 - 2*v**3 = 0 for v.\nAnswer: -1, 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/((-252)\/525*30\/9).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41941\/5 - 8388. What is the nearest to q in 5, -0.3, -231?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 22*g - 11. Let c be w(5). Solve 0 = 3*k + l + 1, 2*l + c = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -0.6. Let h = 23 - 31. Let m be -4 + (h + 8)\/7. What is the smallest value in i, -2\/17, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 34. Let h(m) = m**2 - 14*m + 16. Let x be h(y). Solve 5*g - 5*z = 0, -3*g = g - x*z - 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22225110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 47 = 4*r, 150934*u - 150937*u = -3*r + 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-2))**16)**(-18\/5)*((((x\/((x**(2\/19)*x*x)\/x))\/x)\/x)\/(x*x**(3\/2)*x*x))**(-1\/47) assuming x is positive.\nAnswer: x**(-1541849\/8930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j - q = 369 - 56, -115 = 10*j + 6*q - q for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (8 + 1 + (-56 - -47))) + (-1 - 40).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**2 + 10*y - 5. Let i(u) = 4*u**2 - 9*u + 5. Let h(m) = -4*i(m) - 3*q(m). Let v be h(5). Suppose 3*z + 2 - 32 = v. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -2. Let q be 8\/3 + (-6)\/9. Suppose -d = -q - t. What is the least common multiple of 8 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-288)\/(-20))\/(3\/15). Let v be (6\/8)\/(27\/u). Suppose l = v*l - 21. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26100 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 61\/3. Sort k, -0.5, -1 in decreasing order.\nAnswer: -0.5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r, -2*r = -2*t - 0*r + 13588. Suppose -5*n - 5*c + t = 0, 2*c + 2003 = 3*n - 2084. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 3*m**3 + 4*m**3 + 0*m**3 + m**3.\nAnswer: 8*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 220 - 140 - 60.\nAnswer: -3*c - 420","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -532 + 1018. What is the highest common divisor of 12 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 161\/(-462) + 19\/6 + 37 + -40?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6722*l - 13442*l - 118 + 6715*l - 2*l + 3 - 3 - 1 + 1 - l + (-4 + 5 - 2)*(-2*l + 2*l + l) + 0 + 0 + l - 3*l - 2 + 2 as r + a*l and give r.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 (base 15) in base 2?\nAnswer: -10001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3) + 5 + sqrt(12)*3)**2.\nAnswer: 56*sqrt(3) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 4. Suppose -2*a = a - 4*x + 29, -14 = 3*a - x. Let k be (-16)\/88 - ((-180)\/(-209))\/(-3). Put y, 1, a, k in increasing order.\nAnswer: a, y, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111011100 - 1100010101111101?\nAnswer: -1100011101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 279, 277, 273, 267, 259, 249, 237?\n\"Answer: -f**2 + f + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c = -44*c - 1. Which is smaller: c or -4\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 58. Put -0.1, v, -2 in ascending order.\nAnswer: v, -2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1675)\/(-8) + 21\/(-56).\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**7*h)\/h)\/(h*h\/(h\/(h*(h*h**(-2\/83))\/h*h))))**34 assuming h is positive.\nAnswer: h**(-25330\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x - 10. Let a(s) = 0*s - s + 7 + 2 - s**x. List the prime factors of a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**3 + 3*m**2 - m + 3. Let n(z) = -8*z**3 - 10*z**2 + 3*z - 10. Let f(w) = 2*n(w) + 7*x(w). Calculate f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 71.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 176001854 to the power of 1\/3, to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 30. Is 0.04 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w**2 - 283*w - 90. What is u(-35)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/1*-1*(-4)\/(-8). Let q(x) = 22*x - 1. Calculate the remainder when 20614\/143 - (-2)\/(-13) is divided by q(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1130, -4, -73, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (944\/(-1298))\/(4*(-6)\/(-44))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37049*o**2 + 155670*o**2 + 100767*o**2 + 37437*o**2.\nAnswer: 256825*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.4 + 14.6. What is the closest to 0 in -0.5, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 64*a**2 - 199*a - 137. Give s(67).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16834\/703 + -18 - 6)*(-1)\/2.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 1851 - 662 = 0. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000750163 rounded to seven dps?\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042860489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 19*r - 2. Let n be j(19). Is 2 a factor of 4 + 3 + n + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3227, 12908, 29037, 51608, 80615?\n\"Answer: -p**3 + 3230*p**2 - 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -27, -437, 0.025, -5\/2.\nAnswer: -437, -27, -5\/2, 0.025, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3328130412 + -1983.8\nAnswer: 3328128428.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.15 or -176421?\nAnswer: -176421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 501216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (17 + (15 - 56) - 10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4\/1379 - -237\/13790. Let v(a) be the second derivative of -1\/42*a**4 + 0 + 0*a**3 - 16*a + g*a**5 + 0*a**2. Determine u, given that v(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*k = 632, -2*k + 160 = n - 4*k. Is 19 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 14*z**2 + 19*z + 8. Let o(j) = 8*j**2 + 10*j + 6. Determine -3*i(q) + 5*o(q).\nAnswer: -2*q**2 - 7*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + a**2 - 2. Let w(k) = k**4 + 11*k**3 - 15*k**2 + 22. Let p(j) = -44*b(j) - 4*w(j). Factor p(t).\nAnswer: -4*t**2*(t - 2)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -521603425, -1043206849, -1564810275, -2086413703, -2608017133, -3129620565, -3651223999?\n\"Answer: -u**2 - 521603421*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in -7, 2\/3, 1\/209?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*((-5 + 5 + b)*(b - b - b) + 4*b**2 - b**2 - b**2 + 45*b + 11*b**2 - 45*b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*p - 20614 = 1034 for p.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.79553 decades to years.\nAnswer: 367.9553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*((((f*f**(-29))\/f)\/f)\/f*f)\/f)\/f*f*f**(-1\/5)\/f assuming f is positive.\nAnswer: f**(-151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9*w - 7. Let k(r) = 5*r + 4. Let h be 4\/(-6) + (-120)\/(-18). Let m(a) = -a**2 + 6*a - 6. Let o be m(h). What is o*s(l) - 11*k(l)?\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (285 + 318 - 2127*o + 2126*o)*(-4 + 3 + 2).\nAnswer: -o + 603","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 less than 29?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from tytqtttkttyytykkbkkk?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 22 = -5*n, -12 = -5*n + 3*u - 3 + 27 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 524? (a) -2 (b) 1\/3 (c) 4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 3*y**2 + 3*y - 104. Let v(g) = 3*g**3 + 4*g**2 + 4*g - 106. What is -4*c(t) + 3*v(t)?\nAnswer: t**3 + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10160 and 800?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -19*v - 22. Let x(f) = f**2 + 2*f - 6. Let y be x(-3). Let a be l(y). What is the highest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118358, -118360, -118362, -118364, -118366?\nAnswer: -118368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 7880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (258\/(-24) - -11)*-4. Let t = 19 - 31. Which is the nearest to 0.1? (a) t (b) 3\/2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -84*y**3 - 25*y**2 - 10*y. Is t(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 35*z**5\/12 - 155*z**3\/6 - z**2 - 152. Differentiate y(s) with respect to s.\nAnswer: 350*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 37 + -9*2\/6. What is the highest common divisor of l and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*x - 150*x - 654*x + 8 - 15 - 54*x.\nAnswer: -1403*x - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1419512 and 764?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 47*h**2 + 1626*h + 1121. What is n(-70)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 8100905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - 46. Suppose -208 - 392 = 12*w + 8*w. Let a = w - n. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1))\/(-1*(-3)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(4\/4*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000490168 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 2 = 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16787338?\nAnswer: 2, 8393669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -9337\/6 equal to -745\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4\/8 - 37*t**3\/2 + 411*t**2\/8 + 104713*t\/2 + 516215\/2 = 0.\nAnswer: -43, -5, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-7 - -5 - -14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*l + l + 3*l)*(28*l + 11*l + 148*l)*(-l + 0 + 0) in the form u + s*l**3 + v*l**2 + g*l and give s.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30480.\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 9037*i. Let d(v) = 2115*v - 2. Determine d(h(j)).\nAnswer: -2115*j**2 - 19113255*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(168)\/sqrt(8))*-6)\/(sqrt(7) - 4*sqrt(343)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1 = -9, -3*z - 2*p = -589. Suppose -5*n + 0*n + z = 0. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 20 = -40. Suppose -10 = -5*f + v. Find the first derivative of -2 + 12*x**2 - f*x**4 - 12*x**2 wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -632, -1026, -1420, -1814, -2208?\nAnswer: -2602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c2d7 (base 16) to base 14.\nAnswer: -1426b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 1054476.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 411409, 1645557, 3702477, 6582175, 10284657, 14809929, 20157997, 26328867?\n\"Answer: d**3 + 411380*d**2 + d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.01 + 0.99. Sort -1, 1, v in increasing order.\nAnswer: -1, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (2 + -21 + 39) - (-11 + 1) - 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 0 - 5\/6*x**3 + 10*x + 1\/12*x**4 - 5\/2*x**2. Determine h(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9862405 to four decimal places.\nAnswer: -4.9862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*v - 3*v - 2102, -3*p + 5*v = -3163. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.560525 + 2.56. Round u to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*f - 1444373, 0 = 3*g - 4*f - 555229 - 311390. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(-6*(sqrt(7) - (sqrt(112) + sqrt(7) + sqrt(7)))).\nAnswer: sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6634 - -59780\/9. What is the common denominator of g and (-131)\/15 + (-4)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1499)\/(-3))\/(-1*7 - (-680)\/96)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -23. What is the greatest common factor of 132 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + -5*sqrt(91)*-1)*1)\/((sqrt(112)\/(1*sqrt(2)))\/sqrt(8)).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -17)*3*57\/(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -29. Let m = v + 42. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.19039 nanometers in millimeters?\nAnswer: 0.00000519039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10673 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 79515761, 159031522, 238547283?\n\"Answer: 79515761*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1005*b - 10*v - 44 = 1007*b, 3*v = 4*b - 50 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -45 (b) -581 (c) 4\/5 (d) -4 (e) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 335 in 4\/3, -184, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(931) + 1*(sqrt(931) + -3)**2)*6)*-3 + 0)*1.\nAnswer: -2520*sqrt(19) + 67644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, a: 9}. Give prob of sequence sasa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5))**(1\/15)\/(((n*n**7)\/n)\/n**(3\/5)) assuming n is positive.\nAnswer: n**(-481\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 45, 164, 393, 768?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2*48.8.\nAnswer: 253.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-9) - 69\/(-189). Let i = -74 + 79. Which is the third biggest value? (a) 0 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - m - 5*m)*(-9*m**4 + 75*m**2 - 75*m**2) + (-10 - 5 + 6)*(-3*m**3 + 2*m**5 + 3*m**3).\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)\/x**0*(x*x**(4\/3))\/(x*x\/x**(2\/15)) assuming x is positive.\nAnswer: x**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010 + -10011101011111?\nAnswer: -10011110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*r**6 + 1038*r**4 - 20*r**3 + 2*r**2 - 5792165.\nAnswer: 6360*r**3 + 24912*r - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13810, -110485, -372898, -883921, -1726426?\nAnswer: -2983285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(156))\/sqrt(6)*6)\/(sqrt(162) - 2*1*sqrt(162))*2)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 4:08 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 12132?\nAnswer: 12130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -3d?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 2*(-1 + 0). Which is smaller: n or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24645938680 rounded to the nearest 1000000?\nAnswer: 24646000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 6*t + 42. Let g be w(10). Suppose z - g*q - 3*q + 148 = 0, -143 = z - 4*q. What is the common denominator of 1\/(-3) + (z\/(-12))\/1 and -41\/21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (980\/(-161))\/((-42)\/483).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -65*u**2. Let m(l) = 1. Let i(o) = -o - 11. Let x(g) = -2*i(g) - 22*m(g). Give x(z(b)).\nAnswer: -130*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073 minus -0.244?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3025) - (2*sqrt(3025) + sqrt(3025))) + sqrt(50)\/sqrt(128))\/(3*sqrt(50)\/(sqrt(200)\/sqrt(5) - sqrt(10))).\nAnswer: -175*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003854397 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - j**2 + 25. Give g(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237600 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = r - 15. What is the second smallest value in 2, -2, 6, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 10*h. Let f(j) = 5*j**2 + 15*j. Let c(u) = 5*f(u) - 8*t(u). Let g(m) be the first derivative of -2*m**2 + m - 2. Let z be g(-1). Give c(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*d**3 - 45*d**3 - 54*d**3.\nAnswer: -143*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 570571.\nAnswer: 4\/570571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 2*n**2 - 4*n - 3. Let j be (-2)\/(6\/(-3)) + -3. Let o be t(j). Let d(q) = -q**3 + 7*q**2 - 2*q - 6. What are the prime factors of d(o)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51637423?\nAnswer: 53, 191, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53525 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/3, 1\/4, 5, -1\/202?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 212135900 to the nearest 1000000.\nAnswer: 212000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1870 and 25300.\nAnswer: 430100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*o - 18 = 0, 930*m - 928*m + o = 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + 3. What is the remainder when l is divided by 4\/10 - 106\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**4\/12 + p**3\/3 + p**2\/2 + p\/3 - 63. Factor h(y).\nAnswer: (y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -91, -183, -291, -403, -507?\nAnswer: -591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7403609 to the nearest integer?\nAnswer: 2721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -4 - (16 + -23).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32166000 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 499 - 494. Suppose -v*z + 9*z = 3120. Does 32 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 308979\/25 + -12358. Find the common denominator of v and 179\/60.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 4859 + 4272. What are the prime factors of m?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 13*d**2 + 9355*d + 46445. Determine z(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.7308616kg?\nAnswer: 730.8616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 363*k**2. Let a(t) = 7*t**2 - 5*t + 5. Let n be 11 + -17 + 9\/6*6. Let y(v) = -4*v**2 + 3*v - 3. Let c(g) = n*a(g) + 5*y(g). Calculate c(x(s)).\nAnswer: 131769*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, 38, 0 in ascending order.\nAnswer: 0, 38, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 + 11*i**3 + 9*i**3 - 10*i**3.\nAnswer: 15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8. Let o be 2\/4*2*q. Suppose -2*w - 10 = o, -5*v - w + 35 = -2*w. Solve 0 = -3*d + 3, -v*b - 4*d = -b - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51 - 2c5?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111000111110100011001 (base 2) to base 11.\nAnswer: -1065803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oih when three letters picked without replacement from hobir.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/2*(-28)\/20. Which is smaller: s or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 317, 655, 993, 1331, 1669?\nAnswer: 2007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/(-10))\/((-4)\/(-120)). Suppose -x = 4*r - q, 3*r - 6*x = -3*x - 6. Let c = 48 - 26. Calculate the highest common factor of r and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38771.982 microseconds to hours.\nAnswer: 0.000010769995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9510 and 576.\nAnswer: 912960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -7*t + 6. Determine k(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffefffeffef. Give prob of sequence eef.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -241623?\nAnswer: -241627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {t: 6, i: 5, s: 5, r: 4}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 29*l - 12. Let r be c(14). Solve -113*f + 5*f**2 + 140*f + 54 - r*f**2 = 0 for f.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 324.5732m?\nAnswer: 32457.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*i + i - 4 = 0, 0 = -2*p + 2*i. Let u(x) = x**3 - 3*x**2 - 4*x + 4. Let f be u(p). Suppose a + 339 = f*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 0 + 5*b**2 + 1\/24*b**6 + 0*b - 1\/30*b**5 + 3\/112*b**8 + 0*b**4 + 0*b**3 + 8\/105*b**7. Factor u(v).\nAnswer: v**2*(v + 1)**2*(9*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/7 - -48) + 4*(-15)\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 - 1301575390*n - 84704924792682605 = 0. Calculate n.\nAnswer: -130157539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-3)*3\/(-2). Suppose -5*y - 5*r + 42 = -3, -5*y - 3*r = -49. What is the remainder when y is divided by -1 + 1 - (b + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042722292 rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/9 + 0)*(-21)\/56. Which is the nearest to 0.1? (a) 0.1 (b) 60 (c) i (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i - 1. Let m be h(-2). What are the prime factors of (1 - (m - -21))*-1?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1494 is divided by 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.424 - 0.576. Which is the third biggest value? (a) 4 (b) k (c) -68 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 9*x - 6*x, 5*m = x + 11. Suppose -p = -h + 520, -7*h + 11*h + m*p - 2052 = 0. Calculate the greatest common factor of h and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:56 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 6\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7 - 2*l + l**2 - 2*l**2 + 2*l**2. Let r = 35292 - 35292. Let s be v(r). Solve 2*i + 28 = -4*o, -s*i + 4*i + o - 7 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*u + 135. Let c = u - 123\/2. Let s = -3330 - -66687\/20. Calculate the common denominator of s and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 3733077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7544 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -454?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11020 * -15.\nAnswer: -165300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4714 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*f + 544 + 154, -2*o - 3*f = -352. Calculate the remainder when o is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 102 - 100. Let r be -5 - -12*(3 + v). Calculate the greatest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 2:32 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -2\/3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/(84\/30) - (-4212)\/252?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 11. Let t(a) = -a**2 + 6*a. Let h be t(q). Let p(g) = -g**2 + 5*g - 7. Determine p(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w + 1 + 7 + w - 7*w**2. Let h(q) = 23*q**2 - 8*q - 29. Let l(f) = -22*f**2 + 11*f + 27. Let d(p) = -2*h(p) - 3*l(p). What is -17*a(g) - 6*d(g)?\nAnswer: -g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -14679191617.\nAnswer: -14679191616.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6257 (base 9) to base 15.\nAnswer: -155d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.1956cm in millimeters?\nAnswer: 2341.956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 11*w**2. Let m be r(11). Suppose -d + 5 + 5 = m. Calculate the remainder when 18 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**3\/3 - 3*q**2\/2 - 12*q. Let o(s) = -s - 1. What is -2*n(g) + 5*o(g)?\nAnswer: -g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8482\/105 - 1456\/15. Let y = r + 1012\/63. Is y greater than -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 + -75. Let c be (k\/10)\/(174708\/(-34940) - -5). Suppose 2*h - 2 = 0, 0*s + 3*s - h = c. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -4*x + 2*x + 5674, 0 = 5*h + 20. What is the greatest common divisor of 835 and x?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 4*r - 2*y, -4*r - 7 = y + 30. Let x be (r\/(-18))\/(26\/8). Let f be 0*-2*1\/(-4). Put x, -0.06, f in increasing order.\nAnswer: -0.06, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 52. Suppose o*m - 2*q - 28 = -76, q = -3*m - 60. Find the common denominator of 83\/(-14) - (m\/(-3) + -5) and 59\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6240 and 744.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -393376*c**2 - 10*c - 14. Let s be y(-9). Let j be 74626630\/s - 1*-1. Let x = 2\/83851 - j. Find the common denominator of x and 67\/2.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 892.95701 + 0.04299. Which is bigger: x or 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 120*j - 541. Let l be y(9). Suppose -4*q + 83 + 337 = 0. Suppose q = h + l. What is h rounded to the nearest 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 0.8. Let b = -1 + 1. Let x = 319 - 320. What is the biggest value in k, b, x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, 39748, -697?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2460\/(-10)*(-6 - -4).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = 4*p - 136. Suppose 5 = h - 0. Let k be -2*(180\/(-8))\/h. Calculate the greatest common divisor of p and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 33264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 314 or 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14774.1 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2*sqrt(95) - sqrt(95)) - sqrt(95) - sqrt(95) - sqrt(95))\/sqrt(5))**2 + 4 + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3318 + 1894 = -260*z - 3628 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16835, 16834, 16833, 16832, 16831?\n\"Answer: -v + 16836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172 + 196. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233067 is divided by 255?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795.\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3\/8, -3\/23, -1\/2 in decreasing order.\nAnswer: 3\/8, -3\/23, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 10*c - 6. Let g be a(-11). Suppose 5*b - t = 12 + g, 2*b = -t + 4. Suppose 5*z - b*r = 269, -3*r = -3*z + 2*r + 155. Is z 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 29792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -395.57349 rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1142, -1144, -1146?\nAnswer: -1148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + p**2 + p + 1. Let r(h) = 2*h**2 - 4*h**3 - 3 - h**2 - 10 - 3*h + 8. Let d(s) = -3*f(s) - r(s). Determine d(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/267 in 2\/3, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -2439 and -2437 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 327*p - 655. What is d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 71429374031.\nAnswer: 71429374026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 30057, 18 in decreasing order.\nAnswer: 30057, 18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-184642)\/(-4) + (4 + 2)*(-46)\/(-184).\nAnswer: 2, 23081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -321*d = -301*d - 80. Solve 0 = d*x - 5*v - 20 + 12, -3*x = -4*v - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:52 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12519*k - 46737163 = -12580*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -6*s - 2468. Let g = -4891\/4 + s. Let v = -94\/49 + -18\/49. Calculate the common denominator of g and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4110*z + 2224*z = 184*z + 504300 for z.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-228)\/(-1273)*-11.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:19 PM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3680 divided by 8\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -488088 by 287.\nAnswer: -488088\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 91, 363, 817, 1453, 2271, 3271, 4453?\n\"Answer: 91*p**2 - p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*1519.97.\nAnswer: 45599.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 68\/102*-11*9\/(-6). Suppose 6*f - 30 = -4*c + i*f, 3*f = c - 11. Solve -s + 2*s = -c*r - 4, 2*r - 2*s = 8 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -1\/3*m**3 + 0*m + 0 - 7\/12*m**4 + 69*m**2. Give o(2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356770 (base 9) in base 2?\nAnswer: 110111001101101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 10*m + 70. Let l be (m - 0)*(324\/45)\/6. What are the prime factors of ((-39)\/l + 3)\/(1\/18)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 - 3 - (31 + 6 + -116).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -260338 = -261003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1537, 2648, 18299, 51152, 106943, 191408?\nAnswer: 310283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 5. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1005 + 12662. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22910004 take away 18?\nAnswer: -22910022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 3*s**2 - 6. Let j(y) = 2*y**3 - 3*y**2 + y - 7. Let t(a) = 2*j(a) - 3*n(a). Let o = -6 + 3. Determine t(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 8) to base 14.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/2)*v*v\/(v\/(v*v*v*v**1)))\/((v*v**(2\/3)*v)\/v**(-1)))**(7\/4) assuming v is positive.\nAnswer: v**(-7\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3)\/(-1)*-3. Suppose -s*a - 48 = -2*q, -q + 2*a + 21 = -0*q. What is the remainder when q is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/(-21) + (-2)\/(-7). Suppose -z + 188 = d*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -8*n - 1 + 1. Calculate the remainder when j(-4) is divided by (132\/(-36))\/((2\/(-6))\/1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 24*l + 17. Determine d(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 15 + 0 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 1. Let t be 244\/10 + (-10)\/25. Suppose 9*d = 4*d + 3*p + t, -9 = -d + 2*p. Which is the biggest value? (a) m (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*o + 2*s, 19*o - 15*o = 5*s + 33. Solve o = 2*n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91949 - 91952. Let c = -10 + 17. What is the nearest to -2 in -1\/3, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*y**2 + 28*y - 28*y)*(-8 + 13*y - 3 + 12) to q*y + d*y**3 + n + b*y**2 and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 107. Let f(u) = 2*u**2 - 213. What is -5*c(s) - 3*f(s)?\nAnswer: -s**2 + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + b + 2. Let d be g(0). Let f = -1 + d. Let i = 30879 - 30875. What is the nearest to f in -3, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3 = -0*p. Let g be 18\/4 - p\/2. Suppose 4*x - 6 = 7*x + 3*b, -5*x + 3*b + 30 = 0. Solve -4*a = x*l - 22, -a + 0*a = -4*l + g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -662295, -662298, -662301, -662304, -662307, -662310?\nAnswer: -662313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**3 - 9957712*j**2 - 29873164*j - 19915448 = 0?\nAnswer: -2, -1, 2489431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**5\/20 - 15*b**4\/8 - 7*b**3 - 61*b**2. Factor n(v).\nAnswer: -3*(v + 1)*(v + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1 + 0*c**2 + 5*c - 4*c - 3*c**2 + 2*c**2. Let z(b) = 3*b**2 - 5*b - 7. Give -5*y(p) - z(p).\nAnswer: 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -477 (base 14) to base 5\nAnswer: -12024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 41*x**2 - 6*x + 2. What is the hundreds digit of l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6264, 4626, 2990, 1356, -276, -1906?\nAnswer: -3534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Let m = -62 + 64. Solve 5\/3*p**m - 4\/3*p**g + 0 - 1\/3*p = 0 for p.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s - 1 + 2)*(0*s + 2*s - s + (-2 + 6 - 3)*(-3*s + 5*s + 0*s) - 4*s - 2*s + 5*s).\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/8)*d\/d**(-1\/20))**(4\/11) assuming d is positive.\nAnswer: d**(47\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*a + 21. Let b(s) = s**3 + 51*s**2 + 197*s - 22. Let h be b(-46). What is the tens digit of h\/14 + (-27)\/a + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22*(-32)\/704)\/(4\/(-104)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17, -76, 224?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177684401 and 5578?\nAnswer: 2789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.003 in -89, -0.1, 0.2, -7, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 7*y - 5. Let x be ((-36)\/(-15))\/((-12)\/(-30)). Let i(r) = 2*r**2 + 6*r + 4. Determine x*z(p) + 7*i(p).\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 101. Calculate the remainder when v is divided by 98.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28212101 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 141 + -91. Let i(r) = 48*r + a*r + 19 - 97*r. Give i(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3469949 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/1188 and 14002*(-1)\/2376 - 13\/((-91)\/42).\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (10 - -1 - 3) - (-29 - -20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -10*n**3 + 7*n**2 + 4. Let m be 8\/(-14) - 53\/(-7). Let z(a) = 3*a**3 - 2*a**2 - 1. Calculate m*z(o) + 2*w(o).\nAnswer: o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c00 + -3?\nAnswer: bdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:19 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 + 146*q + 31. Let j be h(-29). What is the second derivative of 2 + 115*f**j + 105*f**2 + 98*f**2 - 115*f wrt f?\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75*d**2 - 8 + 12 + 71*d**2)*(168*d - 4 - 83*d - 81*d).\nAnswer: -16*d**3 + 16*d**2 + 16*d - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44aa161 + -1?\nAnswer: 44aa160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 7:44 PM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 2\/51, 6\/7, 0.05, -109, 4 in increasing order.\nAnswer: -109, -1\/3, 2\/51, 0.05, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 163 + -48344?\nAnswer: -48171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + 264. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/132*(10 + 901\/(-34))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*u - 150*u - 170*u = -2701 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n + 14*n - 9*n. Let b(a) = a. What is i(b(w))?\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h = -69*h - 96 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 3*k + 9 + 5.\nAnswer: k + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b = -12*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 51\/10 (b) -0.5 (c) 1 (d) 0.4 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 0.2, -0.22?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8*5\/(20\/(-11)). Let o = 34 - h. Suppose 5*k - 4 = 6. Solve k*z = -z - o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -137836*n**2. Let y(r) = -1472*r. Give s(y(j)).\nAnswer: -298660839424*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 32*f - 7003. Calculate p(219).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -27216.\nAnswer: -1\/3888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8\/3)*x*x*x**(-1\/10)*x**(-2\/3)*x\/x**(6\/7))\/((x*x*x**2*x*x*x*x)**(2\/13))**37 assuming x is positive.\nAnswer: x**(-127843\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.04 (b) -5\/6 (c) -4 (d) -7 (e) -3\/76 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8 - 4 = -t, 3*u - 3 = 4*t. Let l(k) = -k**2 - 4*k - 1. Let z be l(t). Let n(s) = s - s + 1 + z*s. Calculate n(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) -3 (c) -1637\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22122220011 (base 3) to base 8.\nAnswer: -515015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18001 is divided by 3590.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3850609*s**2 + 3*s + 862436913.\nAnswer: 7701218*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000089 to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 636 + -207?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1349490292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**4 + 2588*j**3 - 2*j**2 + 5*j - 17*j**4 - 2588*j**3 to the form t*j + p*j**2 + a + z*j**4 + l*j**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-16)*36\/(-81)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1822*n**2. Let y(q) = -14*q. What is y(x(w))?\nAnswer: 25508*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 64 - 57 - 588*b - 19*b**3 + 121.\nAnswer: -21*b**3 - 588*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c + 42*c = -21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.56 + -2.\nAnswer: 3.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 59.96765 and -2729297.\nAnswer: -2729237.03235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*b + 8*v = 0, -9*b + 13*b - 5*v = 0. Solve 5*n - 9 = c + 2*n, -5*c - n + 3 = b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 20. Let u = a + 18. What is the smallest common multiple of u and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/7 + 176468*c\/7 - 7065120\/7.\nAnswer: 4*(c - 40)*(c + 44157)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2317.983 kilograms in nanograms?\nAnswer: 2317983000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = -5*y - 3*o, 20 = -4*y + 5*o - 194. List the prime factors of (-12)\/42 + (-57080)\/y.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58+400366609\nAnswer: 400366551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16920171 is divided by 580.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4*l = -24, -3*l + 2*l = 3*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 205263 and 2.7?\nAnswer: 205260.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 25546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40866 by -3.\nAnswer: -13622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a + 7. Let w be y(-6). Let q be -20*(2 - (-6)\/w). Let b = q + 30. Solve 3*d = -2 + b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 23*n - 171. Give u(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 2, b: 7}. What is prob of picking 2 o?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346973461 by 4.\nAnswer: -346973461\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m + 38. Let i be l(11). Suppose 8*w = i + 2281. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12 and -5.73?\nAnswer: 17.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-117 - 31 + 5 + (-6 - 6 + 5)*(-5 + 5 + 1))*(3*k - 5*k + 4*k) as z*k + b and give z.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09513869 and 0.2.\nAnswer: 0.29513869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lx when two letters picked without replacement from oxl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m - 3*m + m)*((5*m - 2*m + 2*m)*(11 + 8*m - 11) - 2*m**2 + 3 - 3) as b*m + x*m**2 + s*m**3 + z and give s.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*d + 28. Let b be ((-12)\/54 + (-29)\/d)*1. Suppose 27 = i - 3*w + 1, 4*i + b*w = 104. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 + 1)*(-423)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-78)\/(-18) + 4\/6. Suppose -5*k - 4*n + 144 = 24, -4*k - j*n + 87 = 0. Suppose 0*c = c + 3*s + 6, 2*c = 2*s + k. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2957512619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q + 39. Let b = q - -11. Is -6\/7 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*-1)\/(253\/((-3172620)\/(-684)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 2*u - 8, -1008*q + 988*q - 3*u - 46 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s - 76. What is j(40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 62996?\nAnswer: -62996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -1\/15*j**4 + 0*j**3 - 1\/75*j**6 - 3*j - 10 - 3\/50*j**5 + 0*j**2. Suppose t(w) = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 - -100. Determine i, given that -2\/5*i**3 + 4\/5*i**2 + v + 0*i - 2\/5*i**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -9*r + 59. Suppose -6*s - r = -33. Solve x + 1 = -s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 34. Let n be 1\/s + (-4 - -3). Solve -t - 2*t - 15 = n for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2488 - -2546. Solve b*r = 33*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15915*k**2*p**2*t**2 - 2*k**2*t**2 - 16*k*p*t**2 - p**2*t**2 + p*t + 738*p wrt p?\nAnswer: -31830*k**2*t**2 - 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 7*m**3 + 6*m**2 - 5*m. Let i(o) = -13*o**3 - 11*o**2 + 9*o + 1. Let l(b) = -11*g(b) - 6*i(b). Give l(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -69.9953. What is c rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 4*o**2 + 4*o - 1. Let b(j) = 9*j + 1 - 4*j - j**2 + 4. Let f be b(6). Let q = f - -4. What is k(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12765 is divided by 12707?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10708\/21 + 510. Sort a, -0.6, 6 in increasing order.\nAnswer: -0.6, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49058 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28274.\nAnswer: 2, 67, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, o: 3, s: 1}. What is prob of sequence so?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4932797792.\nAnswer: 2, 13, 17, 697511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 5*a - 5. Let z be k(1). Suppose z = 40*q - 38*q - 200. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 0) + 16 + 3 + -29 + 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - -1. Suppose -p*x + 1312 = 6*x. Let y be 48*((-10)\/(-4) - 2). Calculate the highest common factor of x and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*n - m, 0*n + 2*n = -2*m + 16. Suppose 5*q + 15 = 0, 0 = -n*a + q - 0*q + 645. Suppose 5*b - a = 71. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d*d*(d**(-2\/5)*d)\/d)**(-6\/5)*((d**(1\/8)*d)\/d**(2\/23))**(2\/3) assuming d is positive.\nAnswer: d**(32927\/6900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11718799, 11718806, 11718815, 11718826, 11718839, 11718854?\nAnswer: 11718871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (285\/456*(-4)\/70)\/(9\/6).\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtw when three letters picked without replacement from wwwwwwtwttw?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (48\/44 + -1). Let j = 224\/3 + -74. Let v be (-159)\/23 - 2 - -6*27\/18. What is the second smallest value in v, j, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -7)*10*2\/(-2). Suppose -9*a + 5*s = -c*a + 13, -2*a = 4*s - 32. Calculate the smallest common multiple of 12 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*a = -14, -26 + 2 = -2*q + 3*a. Let h be q\/7 + (-19)\/(-133). Let z(x) = 4*x**2 + 1. Give z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27422 divided by 70\nAnswer: 13711\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 0)*(a - 4*a + a).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f - 9. Let t(g) = 7*g - 5. Let k(s) = 6*j(s) - 11*t(s). Give k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 34360.\nAnswer: 515400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -17*k + 33. Let b(z) = -17*z + 34. Let q(i) = 4*b(i) - 5*p(i). What is the smallest common multiple of 18 and q(5)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.5 + 7. What is the fourth smallest value in 3\/5, 0, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216.83968 + 217. Let l = -0.16 + c. What is l rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*u + 4*r - 3, -5*u = 2*r - 2. Suppose -2 = -0*t + t, -3*h + t + 8 = u. What is the remainder when h is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1592166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 1, r: 2, q: 1}. What is prob of picking 1 q and 2 c?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 minus -240440.9?\nAnswer: 240440.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00254749383 rounded to five dps?\nAnswer: 0.00255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6313 (base 8) to base 12.\nAnswer: 1a8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - l + l + (-5*l + 3*l + 0*l)*(2 - 3 + 2) + 14 - 2*l - 14 - 3*l - l + 5*l in the form h + x*l and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174917\/18 + -9720. Find the common denominator of 67\/14 and l.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m**2 - 637*m - 394. Let b be n(-79). Does b = 40780?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4263 + -21?\nAnswer: -4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 72334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155408 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6839?\nAnswer: 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10820?\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1, -3, 344163?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -975*r*y**2 - 37*r*y + y wrt y.\nAnswer: -1950*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 2:55 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 664 + -439. Is 27 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68252 + 1.11846.\nAnswer: -68250.88154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*n = c + 276, -3*c + 3*n = -396. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (6*(sqrt(425) + -1))**2).\nAnswer: -46014 + 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14411536.4 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -176 and -1007.3.\nAnswer: -1183.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 53*f**2 + f - 12. What is v(-53)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/3 - 2\/15*t**2 + 44\/5*t.\nAnswer: -2*(t - 65)*(t - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -118 + 1718. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10975*x. Let u(y) = 101*y**2 + y. Calculate u(g(q)).\nAnswer: 12165513125*q**2 + 10975*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**2 + 2*z - 66. Let l(x) be the second derivative of -5*x**3\/6 - 9972*x. Calculate l(r(p)).\nAnswer: -45*p**2 - 10*p + 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 + 75. Suppose -2*j + h*c = -128, -2*j - 3*j + 356 = -c. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 518, 385, 16, -709, -1910?\n\"Answer: -20*w**3 + 2*w**2 + w + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(21 + 20 + -40)*(-1 + -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + -0.4. Let f = -4 - 0. Which is the third smallest value? (a) w (b) -2\/5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f**4\/7 + 1290*f**3 + 121558*f**2\/7 - 3865550*f\/7 + 18632500\/7 = 0.\nAnswer: -29, 25\/3, 514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + s + 14 + 1 = 0, -5*z - s + 93 = 0. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7333147*c**5 + 16129472*c.\nAnswer: -146662940*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 5. What is the remainder when 134 is divided by t(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -1 (c) -1\/59 (d) -8 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = 53605*x - 53610*x + 3*s, x - 68 = 3*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1135020 and 48?\nAnswer: 4540080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5708067 months in years?\nAnswer: 0.047567225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -29*r + 15. Let t(w) = -49*w + 25. Let y(i) = -5*h(i) + 3*t(i). Let g(m) = -2*m**2 - 191. Determine y(g(k)).\nAnswer: 4*k**2 + 382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -75533302.\nAnswer: 3\/75533302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u + 1. Let v(d) = d**2 + 11*d + 17. Let l be v(-7). Let f(z) = 13*z + 2. Calculate l*j(y) + 6*f(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4713 - 4673. Calculate the least common multiple of 2568 and c.\nAnswer: 12840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 7*m + 5. Let n be c(0). Solve -2*d - 8 = -h, -n*d + 4*h + 2 = 25 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 * 168191\nAnswer: 3363820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.1. Let r be (-1)\/2 + (-1)\/(-4). Put 4, r, l in descending order.\nAnswer: 4, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2074 and 67286?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-144*q**2 - 1236*q**2 + 2863*q**2)*(-6*q + 4*q + 3*q).\nAnswer: 1483*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 9:58 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.5? (a) -27 (b) -16 (c) 0.2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1636 divide 5083052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103152166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**3\/6 + 3*j**2 + 3*j. Let p be h(-6). Suppose 0 = -6*t + 23 + 7. Solve -t*m + 0*m + 20 = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/5 + 32*y**3\/5 - 152*y**2\/5 + 32*y = 0?\nAnswer: -20, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.7 from -0.03.\nAnswer: 7.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -190*l + 1434. Calculate f(6).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 785400 and 98532.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7751*z + 7752*z - 56.\nAnswer: z - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, d: 3, q: 5}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55975780 and 9.\nAnswer: -503782020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*w = -206*w + 304. Suppose 8 = 42*a - w*a. Let m(n) = -2*n**3 - n**2 - 2*n + 3. What is m(a)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 5:02 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxuh. Give prob of sequence hu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2655768\/1885 or -1409?\nAnswer: -1409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 21264026?\nAnswer: 21264026","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126 - -349243?\nAnswer: 350369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 3. Let j = -48 - -53. Determine q(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-12)*(-4)\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5510214559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (221\/17*-1)\/(-2). Let c be -1 + (-31)\/(-11) + -2. What is the third smallest value in c, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1117, 2\/3, -4, -2\/63, 2 in increasing order.\nAnswer: -1117, -4, -2\/63, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 220 - 223. Let n be (12\/(-30))\/((-4)\/10 + 1). Suppose 5*r + 40 = 15. Which is the closest to n? (a) r (b) p (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - l + 1. Let q(t) = t**3 - 47*t**2 + 133*t - 43. Let b be q(44). Let p(s) = 6*s**2 + 3*s - 3. Calculate b*p(d) + 2*h(d).\nAnswer: 4*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 103*c**2 - 1824 + 190*c + 98*c**2 = 0. What is c?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.036 + -3.264. Let i = d - -3.237. Round i to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5 + 10. What is the units digit of (i + 1)*3551\/106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 9) + (-2 + -2 - (330 - 329)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8008*s**4*x + 748*s**3*x**2 - s**2*x**2 + 64724*s**2 + s*x + x**2 + 67*x wrt s.\nAnswer: 192192*s*x + 4488*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 37085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -85, -7, -5.\nAnswer: -85, -7, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j + 7. Let r(t) = -t**2 - 8*t + 18. Let k be r(-9). Let p(y) = -k + 9 + y + 0. What is n(p(q))?\nAnswer: -3*q + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/1261031?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/2016 and 125\/1152?\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2903*s. Let b(a) = -4*a**2. What is b(d(z))?\nAnswer: -33709636*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(4380310 - 4380310 - n**4 - 85*n**2).\nAnswer: 2*n**4 + 170*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.335579 millennia in decades?\nAnswer: 333.5579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 447?\nAnswer: 4917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/10 + (-12)\/90. Sort 3, -2\/17, q, -3.\nAnswer: -3, -2\/17, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u - 3*u + 2*u - u + 3. Let d be (-92)\/18 + (-372)\/54 + 7. Calculate g(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 6 + 31*g**2 + 27 - 520*g.\nAnswer: 31*g**2 - 520*g + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 450*c - 39*c - 4 - 4.\nAnswer: -489*c - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6) + -6 + 4)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1316*w**2 + 5 - 5 + 1326*w**2 - 3 - 2627*w**2 + 1.\nAnswer: 15*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Let g be (-1)\/(1 + u + -2). Find the first derivative of -x**4 - g + 3*x**4 - x**4 wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*w = -0*q - 20, -3*q = w - 16. Suppose f = -5*o - f + 119, -q*o + 4*f = -84. Let j = o + -22. Sort 5, -3, j.\nAnswer: -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 e when four letters picked without replacement from {e: 5, s: 3, z: 2, r: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -7, 716, -1980 in ascending order.\nAnswer: -1980, -7, -0.5, 716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/15)\/((-21)\/(-324)*9)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/5)\/c*c)\/(c\/(c*c**(-2\/13))))\/(c**(-1)*c*c*c**1)*(c**(-1\/2))**(2\/13)\/((c**(1\/8)*c)\/(c\/(c**2*c))) assuming c is positive.\nAnswer: c**(-2369\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 125793720 and -0.04.\nAnswer: 125793719.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 101810*i + 89340585.\nAnswer: 5*(i + 919)*(i + 19443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(2\/(-8)))\/(-9 + 8). Suppose 5*s + n*t + 7 = 6*t, -s - t - 7 = 0. Let b = 1\/19 - 135\/38. Is s <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 30*s**2 - 2496*s - 5051. What is n(-2)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 175636.4 hours in milliseconds?\nAnswer: 632291040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 508, 1016, 1522, 2026, 2528, 3028?\n\"Answer: -d**2 + 511*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - ((26 - -20) + (-28 - -33 - (1 - -19))).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -597000 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*t + 3*t. Suppose 5*l = t*j + 25, -3*j - 4*l - 6 = -26. Solve j = 4*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3 + 6 - 2 + 2. Let p(i) = i - 15. Calculate 3*p(k) + 15*q(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*((sqrt(2) - (sqrt(2) - (sqrt(2)*-2 + sqrt(2))))**2 + -5) + -1 + ((-2*sqrt(20)*-4)\/(sqrt(20)\/sqrt(50)))**2.\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2809315822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 4*o**2 + 6*o - 3. Let i be n(5). Let b be 8 + i\/(0 + 2). Let j = 8 - b. Let g(l) = -9*l**3 - l**2 + l + 1. Calculate g(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1260 and 560?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*p + 20, p = 2*p - 1. Let q = w - 18. What are the prime factors of (2 - 20)\/(q + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {m: 1, n: 2, v: 2, k: 1, i: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2218, 4272, 6154, 7864, 9402?\n\"Answer: -86*b**2 + 2312*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 43 = -3*i - 4, -69 = -3*i + 3*l. Suppose 0 = 5*f - 28 - 317. What is the remainder when f is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((6*sqrt(171)*1 - sqrt(171)) + (sqrt(171) + sqrt(171)*-2 + sqrt(171))*-2))\/(sqrt(90)\/sqrt(40) - sqrt(2268)\/sqrt(7)).\nAnswer: -50*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/35258 and -31\/427?\nAnswer: 246806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*q**4 - 4*q**4 + 89*q - 1816*q - 206*q**4 - 9237*q - 4*q**5 wrt q.\nAnswer: -80*q**3 - 2808*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260980.\nAnswer: 2, 5, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*o + 5*o + 81 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(34) + 2*sqrt(34)*-2)*-4)\/(sqrt(224)\/(sqrt(35)\/sqrt(5))))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(304) - -3*sqrt(304)))**2 - -5*-4*(sqrt(19) + 3).\nAnswer: -148*sqrt(19) + 4820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 282, 1105, 2468, 4371, 6814, 9797?\n\"Answer: 270*u**2 + 13*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 6*r - 42. Let j(f) = -28*f + 210. Let k(y) = -2*j(y) - 11*s(y). Let x be k(4). Let n(d) = 3*d. Let b(o) = -16*o - 1. Give x*b(q) + 11*n(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3 + (sqrt(68) + sqrt(68) + -1 - sqrt(68)) + -4)**2 + 1)*-6 + 1.\nAnswer: -437 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -128, -230, -354, -494, -644, -798, -950?\n\"Answer: m**3 - 17*m**2 - 58*m - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -537*d**5 - 54625*d**3*f**2 + 2322*d*f**2 - 22*d*f + 137*d - 2*f**2 wrt d?\nAnswer: -10740*d**3 - 327750*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -3. Let a(n) = -2*n**2 + 0*n**2 - 5 + 3*n + 6*n**2 + 2*n**2. Let w(c) = 7*c**2 + 4*c - 6. Let v(o) = h*a(o) - 3*w(o). Differentiate v(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v - 1. Let l be a(-1). Let s(p) = -4*p**2 - p**2 + l*p**2. Let w(h) = -2*h + h - 3*h + 3*h. Give w(s(t)).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 5, -5.\nAnswer: -5, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3213880 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 - 15 = -3*r, 2*h = 2*r - 10. Suppose 0 = -j + k, r*j - k + 9 = -j. Let w(b) = 2*b - 18. Let v be w(8). Which is greater: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 11. Let n be i(-8). Suppose 3*r = -n*b - 0 + 3, 0 = b - r - 7. Let y be 16*((b - 3 - 2) + -117499). Round y to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 360 and 4426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-348)\/(-145))\/((-186)\/(-496)).\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 104 = 12*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 11:51 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from kakkkkkkkkkkakaaaa?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(1 - 13*x - 24*x + 11*x).\nAnswer: 26*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 320732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 4*j**2 + 3. Let m be t(-4). Let k be (2\/(-3))\/(1\/m). Let n be (-1)\/k*(-1 + 1). Solve 0*s - s + 2*x + 4 = 0, n = -4*s + x - 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 12:07 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -18*u - 8*u + 0*u + 4*u. Let a(y) = 8*y + 3. What is a(x(n))?\nAnswer: -176*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 27\/8*g**2 - 15\/8*g**4 - 3*g**3 - 3\/2 = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 8:03 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 908*u + 904.\nAnswer: 4*(u - 226)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 11:52 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) + sqrt(152)*2*-2) - -2*sqrt(152)*3)\/((sqrt(48)\/sqrt(2))\/sqrt(3) - (4*sqrt(392) - sqrt(392))).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, 2\/5, -151?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 9 = 0, 3*z - 35 = -3*q - 5. What is the remainder when 48 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110066\/5 >= 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4112620971?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 10:50 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1686.79 to the nearest integer.\nAnswer: -1687","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18777.87284 + -18702.2190699. Let a = l + -136.6537623. Let s = 61 + a. What is s rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39688882.72 + 0.0119?\nAnswer: 39688882.7319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 8306148?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -2*i**7\/105 + 7*i**6\/30 - 6*i**5\/5 + 10*i**4\/3 - 16*i**3\/3 + 9*i**2 - 13*i + 3. Solve y(n) = 0 for n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 2*p**4 - 3*p**4 + (0*p**2 - 3*p**2 + p**2)*(-p**2 + p**2 + 2*p**2) + (3*p**3 - p + p)*(-2 + 2 + 2*p) - p**4 + 0*p**4 - p**4.\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -50*f + 245. Determine r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -18*m**2. Let o(v) = 16*v**2. What is j(o(p))?\nAnswer: -4608*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9602404 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (sqrt(117)\/(sqrt(1089)*-3 + sqrt(9)) + -1)**2).\nAnswer: -5133\/256 - sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -9731418\nAnswer: -1\/4865709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -524 + -1?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r. Let u(n) = 7160*n + 10. What is u(y(b))?\nAnswer: 57280*b + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 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 y(m) = -m**2 + 3*m + 9. Let n(p) = p**3 - 5*p**2 + 4. Let h be n(5). Let s be y(h). Solve 0*t + 10 = -s*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -4\/3 (c) 0.02 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2. Let h(d) = d**3 - d**2 - d + 23. Let f be h(0). Let y(a) = -f*a + 496 - 496. Calculate y(j(b)).\nAnswer: -46*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18925 + -17945. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12123411 (base 5) to base 11\nAnswer: -78907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 + 2*c**2 - 2*c**4 - 2*c**3 + 2*c**3 to the form z + f*c**4 + p*c + k*c**3 + u*c**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -14*j + 686. Suppose 0 = -45*g + j*g - 40388. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/((a\/((a*(a*a\/((a**(-1\/3)*a)\/a))\/a)\/a*a))\/a))\/(((a\/(a*a**(3\/4)))\/a)\/a))**(1\/42))**(-21\/5) assuming a is positive.\nAnswer: a**(-17\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 434513200 to the nearest 1000000.\nAnswer: 435000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -21366.6 and 102534.\nAnswer: 81167.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*((-2 - 3 + 7)*(3 - 7 - 3) + (-4 + 0 + 1)*(1 + 4 - 3))*(8*f + 3*f**4 - 8*f).\nAnswer: 60*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.005\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.615 + 1.05. Let n = c - 0.65. Round n to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 36*w**2 - 21*w + 8. Calculate t(18).\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(58*4\/232).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 50*i + 248*i = 7938. What is the remainder when 175 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -4\/3, 0.1, -4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5933930 less than -5933972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 3*i - 20. Let y(a) = 3*a**2 + 5*a + 5. Is y(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148500?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -282085.140086 - -282045.14. Let j = n + 40. Round j to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3930916?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8838, -17672, -26506, -35340, -44174?\n\"Answer: -8834*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + 18. Let v = -7 + q. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 320072, 319604, 319136, 318668?\n\"Answer: -468*t + 320540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*-2*sqrt(612)*6 + -4).\nAnswer: -432*sqrt(17) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, -4, -1\/3 in decreasing order.\nAnswer: 8, 2, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 225092*m + 6299440.\nAnswer: 4*(m - 56245)*(m - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 12, -9, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 12 + (-1 - 0) + 3 - (347 + -335).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**3\/7 + 1634*c**2 - 182800*c\/7 + 548256\/7 = 0.\nAnswer: 4, 12, 11422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -l + 1, -16 = -4*h - 0*l - l. Let k(g) = -2*g**2 + 36*g + 3. Let y be k(18). Solve -12 = y*w + h*t, 4*w = -t - 13 + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.013 + 0.987. Which is smaller: d or -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 7 + 26 = 0. Let x = 17 + c. What is the remainder when (-8 - -11)*(-22)\/(-6) is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.328 + -4.128. What is the closest to -4\/7 in -7\/26, z, -4?\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2105, 2104, 2103?\nAnswer: 2102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -51, 2, -21, -5 in increasing order.\nAnswer: -51, -21, -5, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/11 - 1810*k**2\/11 + 1808*k\/11.\nAnswer: 2*k*(k - 904)*(k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(((i\/((i**(4\/3)*i)\/i))\/i)\/i))*i**(2\/11)*(i**7*i)**(-2\/87) assuming i is positive.\nAnswer: i**(-745\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-3064)\/(-1149))\/((-2)\/(-18))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*sqrt(1296) - sqrt(1296)) - -2*sqrt(1296)*6)\/(2*(sqrt(48)*4 + (sqrt(108) - (sqrt(108) - (sqrt(108) + (sqrt(108) - (sqrt(108) + 2*sqrt(108)))))))).\nAnswer: 36*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -6*h. Let t(q) = 4916*q. Determine k(t(c)).\nAnswer: -29496*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 10:26 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6)*705\/188. Let y(g) = 35*g**2 - x*g**2 - g**2 + 38*g**2. Let j(a) = 4*a**2. Determine y(j(v)).\nAnswer: 1072*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 8 = -8*c - 44, 4*c - 460*q + 4 = -233*q - 229*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4\/401, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 23. Let z be (-12)\/4 - 3\/((-9)\/48). Let b be y(z). What is the highest common factor of b and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a week?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43513, 87017, 130521?\nAnswer: 174025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 53720.98 minutes?\nAnswer: 3223258.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/26*(-4)\/3)\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(18\/3))\/(1\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 - 3*n**3 - 3*n**3 + (2*n + 3*n - 14*n)*(-n**2 - n + n) to i*n**2 + f + c*n + w*n**3 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(136)*1)\/(2*sqrt(1152)).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + 4*z + 4. Let g(t) = -4*t**2 - t + 3. Let l(c) = -b(c) - g(c). What is l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 424796 divided by 44\nAnswer: 106199\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((142\/(-1136))\/(2\/(-18)))\/((-6)\/(-8))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -174 - 33*j**4 + 126*j**3 + 2400*j + 2*j**5 - j**5 + 2560*j**2 + 174.\nAnswer: j*(j - 20)**2*(j + 1)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + -5*sqrt(847)*3)**2 + -2 + 4 + -5 + 5.\nAnswer: 990*sqrt(7) + 190583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71357 - -71270.986. What is i rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/((-77)\/7).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 246.5 - 247. Let y = a - -0.57. Let o = -2.3 + 2.2. What is the nearest to o in y, 0.1, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (-4 - -3) - 3. Suppose -4*j + 3 = -5. Suppose 0 = 3*f - 12, -3*f = -4*n + j*f. Solve n*m = m - t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*-8*(-7)\/4256.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u - 8. Let w(l) = -2*l**2 + 13. Let h be w(-3). Let q(g) = 5*g - 5. Determine h*m(b) + 8*q(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 24. Determine x(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r, -2*p + r - 4 = -8. Suppose 0 = -p*s - 4 + 8. Suppose 0 = -s*y + 4*y + 2260. Round y to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197052 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -t**5\/180 - t**4\/72 + t**3\/9 - 3*t**2\/2 + 4*t. Let k(y) be the first derivative of n(y). Determine r so that k(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -826943, -826920, -826881, -826826, -826755, -826668?\n\"Answer: 8*m**2 - m - 826950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.3. Suppose 13*d = d - 12. Let o = -4 - -8. What is the nearest to 1 in z, d, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/14)\/(-3)*2\/(-6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6721.97kg to micrograms.\nAnswer: 6721970000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 425736374 divided by 19967.\nAnswer: 21322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 divided by -7444?\nAnswer: -141\/3722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/144507?\nAnswer: 4\/144507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 2:40 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20355236179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -407*o**5\/5 + 432*o - 601. Differentiate m(v) with respect to v.\nAnswer: -1628*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -2)*(-3)\/(-7). Is 0 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*r = r + 16, 2*y - 4*r = 2. Factor 4*z**4 - y*z**3 - 2*z**2 + 2*z**4 - 10*z**4 - z**5.\nAnswer: -z**2*(z + 1)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d - 100. Let y be u(-13). Suppose -4*w = y*r - 5*w - 2, 4*w + 8 = 4*r. Solve 3*t - 2 = 5*v + 2, -v + 2*t + 2 = r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/255986 and 63\/2686?\nAnswer: 20222894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.8 (b) -26846 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(1 - 1 + 5) - 1 + 0 + 2 + 2 - 1 - 2 + (-3 + 3 - 2)*(3 + 0 - 4) - 2 + 4 - 1 + 2 + 6 - 4)*(-2 + 5*u + 2).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 4*r + 4 + 2*r**2 + 1 - 2*r**2 - 2*r**3. What is the derivative of w(v) wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 17*f**2 - 3. Let m(z) = -414*z + 6. Determine m(t(h)).\nAnswer: -7038*h**2 + 1248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.9 - 5.1. Let n = h - -31.0000032. Round n to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 1:42 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-56)*4 - 32\/(-14). Suppose 2*z = 3*a + 13, a - l*z - 4 = -3*z. What is the units digit of (a + (-172)\/(-6))\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 2130?\nAnswer: -2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z + 4*i - 144 = -555, -5*z + 96 = 3*i for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**2 - 9*g - 7. Let k(m) = -m - 4. Determine -14*k(n) + 6*p(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 17*g**5\/5 - 13*g**2\/2 + 23. What is the second derivative of r(d) wrt d?\nAnswer: 204*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -228*c**2. Let y(k) = -694*k**2. Calculate y(n(x)).\nAnswer: -36076896*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16043?\nAnswer: 61, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((27 - 27 + 15*h)*(-2 - 2*h + 2) - 6 + 6 - 2*h**2)*(-h + h + h**2).\nAnswer: -32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**6\/n*n**(-2\/31) assuming n is positive.\nAnswer: n**(153\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 + 0*z**3 + 3*z**2 - 12*z**2 to the form u*z**2 + o + v*z + l*z**3 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 448738137*m**3 - 2789240*m?\nAnswer: 2692428822*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 19 + 4 + 2*i)*(23 + 22 + 13*i**2 - 44).\nAnswer: 26*i**3 - 182*i**2 + 2*i - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/3)\/w**(-3\/2)*w**(-5\/2)*w*w*w**7*w assuming w is positive.\nAnswer: w**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -103 - (-208 - (140 + -280))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27.41288 and -5.\nAnswer: -137.0644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90151656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74485807 divided by -234971.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 2*f**2 - 4*f - 1. Suppose 6*a = a + 25. Suppose -3*h = -a + 14. What are the prime factors of p(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5197 is divided by 399.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -32*c**7\/7 - 6256*c**6\/15 + 2653*c**5\/5 + 854*c**4\/3 - 530*c**3\/3 - 132*c**2 - 8854*c. Suppose v(w) = 0. Calculate w.\nAnswer: -66, -1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 30 - -4 - (11 - 4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 7:43 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 91278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 1. Let c(z) = 2*z**2 - 8*z + 8. Let n be 1*-40*(7 - 5). Let f be ((-8)\/(-10))\/((-8)\/n). Calculate f*b(w) + c(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32660 less than 238?\nAnswer: 32898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 4. Suppose 3*m - 7*m + 132 = q. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 0 + 0*g**2 - 1\/6*g**3 + 5*g. Let u(t) = -2*t**2. Calculate v(u(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 5656?\nAnswer: -5653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 + 25*j**2 + 54*j**2 + 6*j**2.\nAnswer: 62*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5)\/10)\/(1\/(-42))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-4)\/m))\/(m\/(m*(m**(2\/3)\/m)\/m)))\/((m*m\/(m**(-1)\/m)*m)\/m*m\/m**(-6)) assuming m is positive.\nAnswer: m**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1867, -1845, -1799, -1723, -1611, -1457, -1255?\n\"Answer: b**3 + 6*b**2 - 3*b - 1871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -3*r**4\/4 + 2*r**3\/3 + r**2 - 2*r - 93. Let m(q) = 8*q**3 - 7*q**2 - 6*q + 7. Give 2*m(u) + 7*w(u).\nAnswer: -5*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 857 - 861 - (-4 - (-1 + 3 + (4 - 3)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2895*z. Let a(h) = -11*h**2. Determine a(g(x)).\nAnswer: -92191275*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 26665224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 13*p - 9 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -3815709\nAnswer: 1526283.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -10, -19, -44, -91, -166?\n\"Answer: -d**3 + d**2 + 5*d - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 2 + -7 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 520 and 130.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -585146 and -0.17.\nAnswer: 99474.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = k + 5 + 11, 11 = -k + 2*t. Let f = -18 - k. Which is the biggest value? (a) f (b) -1\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1296 + 1300.272. Let j = 0.272 - t. Which is the nearest to -0.1? (a) -11 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 682 and 248?\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -37724, -37720, -37722, -37730, -37744?\n\"Answer: -3*r**2 + 13*r - 37734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 634979?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9765 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -886*j + 8086 = -884*j. What are the prime factors of j?\nAnswer: 13, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**2 + 129128*x + 18255520 = 0?\nAnswer: -32140, -142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1216))**2 + sqrt(19)*-1 + sqrt(19) + 2)*2.\nAnswer: 64*sqrt(19) + 2444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 5*u**2 + 4. Let h = -4 - -4. Suppose 2*f + h = -q + 3, f = -1. Suppose -3*d + 10 = -q*d. What is g(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -15*g - 5010. Let h = g + 8377\/5. What is the common denominator of -79\/10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(441)*-4)\/sqrt(7) - sqrt(63)) + sqrt(49)\/(sqrt(63)*6))**2 + 0 + -3.\nAnswer: 505555\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/5 of a litre?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 6627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -46 and -853\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17.6 and -31.4?\nAnswer: -552.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1 - (-4334)\/(-394).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 77\/35 + (-2)\/10. Let x(v) be the third derivative of 0 + 2*v**j - 1\/210*v**5 + 0*v**3 + 0*v + 1\/84*v**4. Determine t so that x(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbhbbbobbbbb. Give prob of picking 1 h and 1 o.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.64 - -1.34. Which is the nearest to 0.1? (a) -2\/15 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1405*j + 19672. Let u be r(14). Suppose -11\/2*a + 1\/2*a**u - 6 = 0. What is a?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 839980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19810, 19822, 19840, 19858, 19870, 19870?\nAnswer: 19852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(125) + -3 + -5.\nAnswer: -20*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 7. Let l(g) = g - 2. Determine l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-1 + sqrt(200))**2 + 0) - (sqrt(200) - (sqrt(200) - sqrt(200)*6*-1)).\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 20\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149 + 1960. What is the thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 169*c**2 - 1577*c**3 + 9*c - 44*c + 35*c wrt c?\nAnswer: -9462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4600742 to the power of 1\/2, to the nearest integer?\nAnswer: 2145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0*m + 0*m)*(-4*m**4 - 91*m**4 - 20*m**4) - m**4 + m**5 + m**4 + (0*m - 3*m + 2*m)*(-2*m**4 + 3*m**4 + m**4) - 2*m**5 + m**5 - m**5.\nAnswer: -348*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2. Let r = 243 - 243. Let w(y) = -373*y**2 + 0 + r - 72*y + 72*y. Give w(l(d)).\nAnswer: -1492*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16814 + 16851. Solve -q = 36*v + 35 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-14))\/(-1*3\/6*4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227406 smaller than 1227400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -236*q**2 - 2479*q - 2. What is a(-11)?\nAnswer: -1289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*a + 73*a + 1360 = 149*a. What is the remainder when a is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 8*k + 15. Suppose -w - 7*w = -16. Let h = w - -4. Is 3 a factor of q(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2291950*r**4 - 4140105*r**2.\nAnswer: 55006800*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0797 + -0.2797. Which is the biggest value? (a) 1 (b) 0.8 (c) -2\/3 (d) 0.3 (e) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128135723 divided by 6733?\nAnswer: -19031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -527*y + 27. What are the prime factors of d(-3)?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -77 + 447565?\nAnswer: 447466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -4095904?\nAnswer: 1\/1023976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/3*(-234)\/(-325))\/((-3)\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -j**5\/20 + j**4\/6 + j**3\/3 - 4*j**2 - 1261*j. Give r(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3000 and 4950?\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b**2 - 10*b - 3. What is the remainder when c(4) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*q + 75 = -5*o, o + 25 = 3*q. Let d be (10\/o)\/(2\/(-20)). What is the units digit of ((-11)\/2)\/(d\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13596.\nAnswer: 2, 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + q = 5, 0 = 4*n + 2*q - q - 5. Suppose n*s - 112 = -4*s. Suppose 3*l + 5*b = -s + 88, 5*l - 81 = -2*b. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3 + 4 + 7*a**3 + 0 wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3741 = -4*c, 5*n - 4*c = c + 18720. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 20 = 5*b, 8*b + 5*a - 16 = 4*b. Suppose g + 6 = b*g. Let k(c) = 99*c - 880. Let u be k(9). Solve -g*z = u - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14608289947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -14*a**2 - 1\/24*a**4 - 2\/3*a**3 + 0*a**5 + 0*a + 3\/20*a**6 + 0. What is the second derivative of m(o) wrt o?\nAnswer: 108*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -187322616*c + 39454119?\nAnswer: -187322616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 3*v - 738666. Let r = v - -73776. Suppose 5*b - r = w + 4380022, -b + 4 = 0. What is w rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7654158.7788 - -0.02.\nAnswer: -7654158.7588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*p - 1370 = 41*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 977836 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19444\/113015 - -2\/3229. Let n = -1\/210 - f. What is q in -1\/2*q**3 + 0*q - 1\/3*q**2 - n*q**4 + 0 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l - 1. Let j(h) = -1. Let d(w) = -j(w) + z(w). Is d(14) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*q + 155*q - 3318*q.\nAnswer: -3357*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 9 - 1 + 14 - 16 - 9*i**2 + 6*i. Let m(a) = 19*a**2 - 13*a - 11. Suppose 2*s - 7 + 33 = 0. Let c(v) = s*z(v) - 6*m(v). Factor c(d).\nAnswer: 3*(d - 2)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232608.81 months in millennia?\nAnswer: 19.3840675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 3. Let y be m(-5). Let b be 112\/(-70)*(-5)\/2. Solve -6 + y = -b*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19241 + 40345. Let v be (-1)\/3 + (-50)\/(-6). Suppose -8*b = v*b - c. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l + 5 = 29*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1358*n**2 - 3*n + 3*n - 859*n**2 - 260*n**2.\nAnswer: -2477*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 1536.\nAnswer: -5\/768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 869 = 14*u - 2267. Let q = u + -219. Let b(m) = -32*m + 12. Let p(j) = 13*j - 5. Suppose -2*d = -0*d - 24. Give d*p(g) + q*b(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101211 (base 3) to base 15.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67546062 divided by 4?\nAnswer: 33773031\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxxxsxxxqxexttxxat. What is prob of picking 1 a and 1 e?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 72\/49, -0.4, 4?\nAnswer: 72\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 98*l**2 + 251*l - 9. Let k(i) = -87*i**2 - 252*i + 7. Let n(x) = 4*h(x) + 5*k(x). Determine n(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0. Let z(h) = -h**2. Let w be z(a). What is the second biggest value in -2, w, -2\/13?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625178 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: What is the second smallest value in 1.1, -68561, 2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.039 + 3.961. Put x, -5, -0.4 in decreasing order.\nAnswer: x, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 41.1. Let x = u + -40.3. Put -5\/3, x, 2\/5 in decreasing order.\nAnswer: x, 2\/5, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 104, 254, 474, 770, 1148?\nAnswer: 1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.033 + -102.967. Let x = 99 + q. Let m = -76 - -605\/8. Put -2\/9, x, m in decreasing order.\nAnswer: -2\/9, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 27*z**2 + z - 1. Determine f(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 y, and 1 z when three letters picked without replacement from zqkmmkkzzkmzy?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 651\/7 - 4. Let r(k) be the second derivative of -k**3\/6 + 3*k**2 + k. Let x be r(-5). What is the greatest common factor of x and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 2*t + 2*t**4 - 18*t - 81*t**4 + 18*t + (-5*t + 0*t + 3*t)*(0 + 0 - t**3).\nAnswer: -77*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -17. Suppose 2*z + j = p, 6 + 33 = p + 2*z. Calculate the remainder when 59 is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1857.1 and 2.\nAnswer: 3714.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 62 - 29 = -4*q - 18*v, -4*q + v + 11 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 11) to base 8.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f = -2*f + 105. Let g(b) be the second derivative of -3\/2*b**f + 9\/2*b**2 - 1\/3*b**4 + 0 + 8*b. Let i(r) = -r**2 - 2*r + 2. What is 2*g(n) - 9*i(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 9:39 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -239, -1225, -2835, -5069?\n\"Answer: -312*q**2 - 50*q + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 562*r**3 + 38*r**2 - 9848*r wrt r?\nAnswer: 3372*r + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(77) + sqrt(77) + -5*-1*sqrt(77) + sqrt(77))*6)\/((sqrt(704) + (sqrt(704) + (3*sqrt(704)*2 - sqrt(704)) - sqrt(704)))*2).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z - 4*z = 686. Suppose -46*k - 54 = -z*k. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0996 (b) -0.5 (c) -3\/10 (d) 58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 777, 775, 783, 807, 853, 927, 1035, 1183?\n\"Answer: q**3 - q**2 - 6*q + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5722495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 619, 611, 597, 577?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-6)\/(-15))\/(12\/195))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/((-3)\/((-75)\/(-35)))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 213, -4, 3\/7, 3\/578, -2 in ascending order.\nAnswer: -16, -4, -2, 3\/578, 3\/7, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 76.54 to zero decimal places.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2999*f + 114793 + 84629 = 537*f for f.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2305 + -2296 - (22 + 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 714, 2869, 6462, 11493, 17962, 25869, 35214?\nAnswer: 45997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/2 - 21*m\/2 - 323 = 0.\nAnswer: -17, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.21 + -0.15. Let v(y) = -4*y**2 + 4*y - 2. Let l be v(1). Let d be (-2)\/(-5)*(0 + (l - -1)). Which is the nearest to 0.1? (a) j (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*l**4*z - 2*l**3*v*z + 4*l**3*v - 100*l**2*v*z + 2*l*v wrt l?\nAnswer: 144*l*z - 12*v*z + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/17 and 46\/119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1674457.\nAnswer: 1674457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*h + 15 = 28 - 13. Find a, given that -2\/11*a**4 + 4\/11*a**2 + 0*a**3 - 2\/11 + h*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbulrkubbeubu. What is prob of picking 1 l and 2 b?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625641217.\nAnswer: 625641217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1690.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -65438941 rounded to the nearest one million?\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 2, 0.14.\nAnswer: -5, 0.14, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 5:31 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -113614739, -227229480, -340844221, -454458962, -568073703, -681688444?\n\"Answer: -113614741*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v - 208. What is f(10)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**4 - 37*p**2 - 86*p?\nAnswer: -24*p**2 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 10. Let u(p) = -4*p. Let d be u(q). What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(27)\/((sqrt(99)*1)\/sqrt(11)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**3 - 13*o**2 - 17*o + 8. Calculate f(-6).\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 1)*-1.\nAnswer: -8*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 + 161 = 11*b. Differentiate 21 + 0 - 24*c**4 + b*c**4 wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -14, -0.4, -2\/19, 0.73 in descending order.\nAnswer: 0.73, 0.05, -2\/19, -0.4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*c - 0. Let r = -5.3 - -3.3. What is the nearest to 0 in r, c, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 13558 - 2*r**2 + 3*r**2 + r - 7*r**2.\nAnswer: -2*r**2 + r + 13558","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5 + 7*l + 0 + 0 + 2*l. Let m(k) = -13*k - 5. Let g(s) = -26*s - 9. Let n(r) = -2*g(r) + 5*m(r). Calculate -7*h(z) - 5*n(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + 0 + 1 + (sqrt(88) + -2*sqrt(88)*-4 + sqrt(88))\/sqrt(8).\nAnswer: 1 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, a: 4, d: 2, m: 1}. What is prob of sequence dk?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84 + -75. Suppose r*q = -63 + 9. Let i(k) = 3*k + 5. Give i(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**4 - j**2 - j. Let u(v) = 120*v**5 + 4*v**4 - 57*v**2 + 4*v. Let a(l) = -12*n(l) - 3*u(l). Find the third derivative of a(w) wrt w.\nAnswer: -21600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -336. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2744\/(-147)*(-12)\/(-16)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwiiiiisssifiii. Give prob of picking 1 f and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4499 and 5709?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.78 or 21\/4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**4 + 36*g**3 + 4*g**2 - 36*g.\nAnswer: -4*g*(g - 9)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.66323 decades in centuries?\nAnswer: 4.266323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 743*m**2*w*z**3 + 5*m**2*w - 30*m**2*z + 7296*m*w*z**4 + 68903*m*w*z wrt z.\nAnswer: 4458*m**2*w*z + 87552*m*w*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 2. Let v(q) = -2*q + 3. Let l(r) = 4*t(r) - 3*v(r). Let j(x) = x + 18. Let p be j(-9). Suppose -d + p + 1 = 2*c, -c + 6 = d. Give l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-1))\/(0 - 1). Let o(i) = 309*i - 1. Let b be o(f). Calculate the common denominator of 604\/b + 4\/22 and 14\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22933 divided by 17\nAnswer: 1349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5268 = -488*r - 3572 - 23569 - 23999 for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2. Let r(k) = -10050*k**2. What is r(v(x))?\nAnswer: -160800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -442868 or -442867?\nAnswer: -442868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 381798 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, k: 2}. What is prob of picking 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-20)*(-40)\/150.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/2437260 and 73\/11124351.\nAnswer: 1557409140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1023 and -1779510.53.\nAnswer: -1780533.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -689218, -689088, -688958, -688828?\n\"Answer: 130*b - 689348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 5, 0.02, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q*q**(3\/4)*q)*q)\/q)**(-7\/3)\/((q*q*q\/q**(-4\/11)*q*q)\/q*q*q**(-4)) assuming q is positive.\nAnswer: q**(-257\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 4 = 5*s, 5*n - 3*s - 27 = -36 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2409872?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1652397l?\nAnswer: 165.2397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7486, 30197, 68020, 120931, 188906?\nAnswer: 271921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 7*p - 3. Suppose -11 = 2*y + 1. Let t be b(y). Suppose -4 = -w, -2*a + 26 = -0*w + t*w. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 611825 or 611826?\nAnswer: 611825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34792223 is divided by 418?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 135853733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*s + 2475, -5 = -5*s + 6*s. What is the greatest common divisor of 20 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -181 in 0.5, 1743, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 7*z**2 - 3*z + 9. Suppose 4 = -d + 2*o, -2*o = 2*d - 30 + 8. What are the prime factors of w(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/9 - 85856*f**2\/9 + 208296768*f - 151291763712.\nAnswer: (f - 42552)**2*(f - 752)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1753, 1751, 1749?\nAnswer: 1747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015437423 divided by 2?\nAnswer: 1015437423\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3218 + (-8)\/40 + (-31)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 134 = -223. What are the prime factors of x?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 25\/12*k**4 + 6*k - 105\/2*k**3 + 5 - 65*k**2. Factor r(f).\nAnswer: 5*(f - 13)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 864, 859, 854, 849, 844?\n\"Answer: -5*r + 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/27)\/(4\/6). Let n = 0 - 4. Let i be (0\/(n\/(-2)))\/(-2). Which is the third biggest value? (a) d (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-32)\/10)\/(2\/(-25)). Calculate the highest common divisor of y and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7162550?\nAnswer: 2, 5, 31, 4621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -401 + 49. Calculate the remainder when 349 is divided by w.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i**3 + 11*i**2 + 13*i + 35. Determine u(3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -10*l + 3*l. What is the smallest common multiple of ((-8)\/(-10))\/((-5)\/(-300)) and l?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8626507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*b**5 + b**4*c**2 + b**4 + 2*b**2*c + 84*b*c**2 - c**2 wrt b.\nAnswer: -10500*b**2 + 24*b*c**2 + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8137, 25850, 53153, 90040, 136505, 192542?\nAnswer: 258145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4 = -5. Let v(b) = -19*b**2 - b - 1. Let i be v(o). Is (-55)\/(-5)*(0 - i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (53\/(-795))\/((-18)\/864)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -9872*i - 58283. Give k(-6).\nAnswer: 949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:44 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Suppose 5*h - 9 = c*s, 5*s - 6*h = -h. Suppose s*f = 5*f - 298. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.3, 5, -2, -0.5, -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 13*t + 1. Let o(c) = -4*c + 1. Determine a(j) - 3*o(j).\nAnswer: 25*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 0 + -5 + 2*((sqrt(891) - 2*(1 + sqrt(891))) + 3 + -2))**2.\nAnswer: 288*sqrt(11) + 3628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12871 = -5*u, -3*d - 15*u + 10*u + 9647 = 0. Is d a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -76. Let z = v + -27. Which is the closest to 1? (a) z (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 195705 and 195?\nAnswer: 2544165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f - 16*f + 50. Let p(n) = 3*n**3 - 4*n**2 + 4*n - 2. Give p(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 511 + -504. Suppose -4*q + 39 = 15. Let c(t) = 18*t + 11. Let a be c(q). Calculate the highest common factor of a and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 1.4. What is the closest to 1 in 3, f, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 + 6*g. Suppose 7*m = 4*m - 3*w - 60, -4*w = -5*m - 109. Let i = 34 + m. Let z(h) = -3*h + 2*h - i + h**2 + 13. Give v(q) + 4*z(q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - sqrt(78)*-5)*-6 - sqrt(78))\/sqrt(6).\nAnswer: -37*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-1 + 20 - 1). Let j be (-2)\/(-5)*(-15)\/w. Let l be 4 - ((-224)\/(-12))\/4. Which is the second smallest value? (a) j (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -563, -567, -569, -569, -567, -563?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 10 = 2*x, -3*x + 0*x - 25 = -4*c. Suppose 4*b + 29*i = 32*i + 27, 5*b + 5*i - 60 = 0. What is the remainder when b is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 2. Let p be a(6). Let i(n) = 2*n - 5. Let f be i(p). Let g = -398696 + 398697. What is the closest to g in f, 0.3, -2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -125, 6\/11 in descending order.\nAnswer: 7, 6\/11, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 57 = 4*x, -5*s + 3*x - 15 + 99 = 0. What is the remainder when (-27)\/9 - 2*(-534)\/12 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 + 6*g - 7. Let f be s(-4). Suppose -8*h + 39 = -f. What is the second derivative of -h + 11*d + 23 - 12 + 12*d**2 wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybybb. What is prob of picking 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {v: 13, g: 2, u: 2, e: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18.4 in 9, 2\/7, -72?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*w**2 + 1046*d**2*w**3 + 3*d*w**3 + 4*w + 1474 wrt d?\nAnswer: 12*d*w**2 + 2092*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**6\/360 - i**5\/30 + i**4\/24 - 2*i**3\/3 - 1. Let h(k) be the third derivative of n(k). Let t = 15 - 18. Calculate h(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**3 + y**3 - 3*y**3 + (6*y + 17*y - 8*y)*(139*y - 139*y - 4*y**2).\nAnswer: -58*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = j + 97, 4*h - 18*j = -13*j + 117. Suppose -h + 92 = 3*z. Calculate the remainder when 160 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 2, -1, 0.5, -1\/3 in ascending order.\nAnswer: -1, -1\/3, 0.5, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m - 41 + 84 - 39.\nAnswer: 6*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/413 and 33\/337.\nAnswer: 139181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1651*j**2 - 2230*j**2 - 2052*j**2 + 6696*j**2.\nAnswer: 763*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 9*y - 1. Let r(v) = v + 1. Let b(h) = q(h) + 6*r(h). Let z(i) be the first derivative of b(i). What is the derivative of z(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 less than or equal to 388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 - 7*m**2 - 26*m - 78. Let h be k(11). Calculate the greatest common factor of h and 3880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -63376109 and -81.37.\nAnswer: -63376190.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3942344\/167 bigger than 23606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 5. Let g be c(7). Suppose 190*h - 193*h - 24 = 2*u, 6 = -3*h + u. Let t(f) = f**2 - f - 8. Let x be t(4). Sort x, g, 5, h in decreasing order.\nAnswer: 5, x, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/10486 and 52\/1177.\nAnswer: 115346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -3 (c) -3\/4 (d) -1 (e) 0.2 (f) 2409 (g) -133\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123992 by -4.\nAnswer: -30998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**4 + 6330*w**3 + 9*w**2 - 18996*w + 12660 = 0. Calculate w.\nAnswer: -2, 1, 2110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 3*a**3 - 13*a + 14. Find the first derivative of d(k) wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.68632l in millilitres?\nAnswer: 85686.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -4)*(-2 + 0). Let v = -0.41 + 1.31. Let r = v + -0.6. Which is the closest to -1? (a) j (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 2. Let d be w(2). Solve 0 = -5*q + 5, 0 = -5*o - d*q + 24 - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -23, 4, 2\/3, -46?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 13 = b, -7*b = -3614792*f + 3614788*f - 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99881063\/10 - -9977003. Let s = t - -11092. What is the common denominator of 19\/5 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**2 + 244465*k + 733440 = 0.\nAnswer: -3, 48896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 1:16 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/7 (b) -10 (c) -0.2 (d) -3399\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 v, and 2 n when four letters picked without replacement from bbvbnbbbh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1591 or 755?\nAnswer: 1591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -138502 divided by 19786\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18923 = -68*y + 49413 + 142774. Is y a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449966?\nAnswer: 2, 11, 113, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 - 57*j**2 - 408*j - 43*j**2 + 79*j + 85*j**2.\nAnswer: -38*j**2 - 329*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -0.17505763.\nAnswer: -1.17505763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/5? (a) -0.2 (b) 160 (c) 28\/9 (d) 0.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/6)\/(1*(-4)\/(-32)) - -6. Solve 0 = -3*m - 5*c + l, 5*m - 1 = -c + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*y + 5*u - 144 = -480*y, -8*u = 5*y - 204 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*d - 4*o, 5*d + o - 4 = 3. Let x(y) be the first derivative of -1\/12*y**3 + 1\/16*y**4 + 1\/4*y + 4 - 1\/8*y**d. Factor x(z).\nAnswer: (z - 1)**2*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34636 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 208 + -203. Suppose n - 520 = -g, -1126 = 5*g - a*n - 3736. What are the prime factors of g?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2218075 - 46?\nAnswer: -2218132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 40*n**2 + 6*n + 5. Let f be w(-2). What is the greatest common factor of 17 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188 = d + 4*l - 1182, -4*l + 2 = 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2. Let g(x) = -21*x**2 - x - 2. Let u(o) = g(o) - 5*s(o). What is the second derivative of u(r) wrt r?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 1537*o**5\/30 + 871*o**4\/6 + 3411*o**2. What is the second derivative of w(j) wrt j?\nAnswer: 6148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*i - 206*i = -8. Solve -14 = -5*s - y - 0*y, -3*y = i*s - 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvjikikijkivkbkvb. Give prob of sequence kbj.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 9*n + 9. Let z be 2\/5*(-5)\/(-9). What is the third smallest value in n, z, 0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -297 - -286. Which is the fourth smallest value? (a) -1 (b) y (c) -3\/13 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232132104 (base 5) in base 3?\nAnswer: -1222110021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1176 - -1187. Solve s*c + 19 = 9*c - 5*p, 5*c = -3*p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158369094 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 8:46 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4159 + 5026.7\nAnswer: 867.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -397 and 3138 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from mjyy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -941 + 1379. Let s = h + -398. Calculate the remainder when 319 is divided by s.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*p = 0, d - 3*d - p = -7. Suppose -c + 6*c = -3*t + 15, c + 5*t = d. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94095353603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108745*o**2 + 54051*o**2 + 54682*o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -21*m**5 - 12468*m**4 - 1427607*m**3 + 43690452*m**2 - 93104436*m + 23068080 = 0.\nAnswer: -420, -199, 2\/7, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284822797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6739a - -47?\nAnswer: -67353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2023582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5210200 to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 68*g**2 + 7*g + 5. Let f be a(-5). Let l(v) = 5*v - 22. Let b be l(5). Let u(o) = 3*o - 1667*o**2 + f*o**2 - b*o. Let p(k) = -20*k**2. Give p(u(r)).\nAnswer: -180*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/8*(-3)\/((-21)\/(-4)). Let u be ((12\/120)\/(2\/4))\/(-1). What is the nearest to 1 in u, -2\/5, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/29138 and -67\/68748.\nAnswer: 58917036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 805.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f - 18. Let w = -496 - -478. Let p(b) = -b - 5. What is w*p(m) + 5*v(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 22173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + (-873)\/(-93))*(-3)\/10. Let b = u + 1\/62. Let t be (-4)\/24*-2 + 8\/(-6). Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 517036232?\nAnswer: 2, 17, 521, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 6. Let h be 126\/(-56)*(-2)\/m. Is 1 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 + 114.001915. What is x rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11195b (base 14) to base 11\nAnswer: 367427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/12 - 5*o**3\/6 + o**2 + 6*o. Determine v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 166841 = 57724. What is u rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2284, -115 in increasing order.\nAnswer: -115, 1, 2284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 4*r + 29, 137*r - 141*r + 11 = 3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10 = -4*u + 22, -29 = -3*u - o. Suppose -11*d = -u*d - 134. What is the remainder when d is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12132.55 + 11889.5235. Let q = c + 0.0265. Let f = q - -242.999999762. What is f rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 60480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, x: 2}. Give prob of picking 3 e and 1 x.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/483 and 2702\/1740 - 0 - 6\/4.\nAnswer: 70035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 2, 12, 4 in increasing order.\nAnswer: 2, 4, 12, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96.6 - 100. Is t < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1789 = 995*a + 4900 + 26255 + 17399 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 7*w - 6. Let x be u(4). Suppose 0 = -s + x*s - 855. Calculate the greatest common divisor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28234 at least as big as -28247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -53*v**4\/24 - 82*v**3\/3 - 2*v**2 - 8*v. Let q be u(-3). Let t(a) = -a. Determine t(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35998 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 6\/7 + 3\/7*c**2 - 9\/7*c = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 763617761\nAnswer: -763617757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -108 + 4752527?\nAnswer: 4752418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -43. Suppose -3*h = 4*g + 29, -2*g + m*h + 7 = -g. What is the units digit of (1\/3)\/(g\/(-945))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63 and -92.1.\nAnswer: -5802.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s - 4*s + s)*(29 - 10 + 4)*((-1 + 1 - s)*(3*s - 3*s + 2*s) + (-3*s - 2*s + 2*s)*(-s + 2 - 2)).\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*v + 20*v + 16*v)*(-54 - 90 + 23).\nAnswer: -2299*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -278, -4, -5, -53?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.4 + 6.4. Let q be (0*(-2)\/(-4))\/(-1). What is the smallest value in -0.2, q, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 654337 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9246241*n**6 - n**2 + 2*n + 160809 wrt n.\nAnswer: -1109548920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.6 in 0.2, -0.08, 3\/8?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 p when three letters picked without replacement from {p: 5, v: 11}.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 3*d + 48 = 0. Let t = d + -3. Solve 2*m - 6 = -5*r, -1 = 4*m - t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*p + 2. Find the third derivative of -3*d**6 - p*d**6 + 5*d**2 + 3*d**6 + 2*d**6 wrt d.\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -239 - -353. What is the remainder when 182 is divided by v?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -16) + 1 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (17 + 2 - -2)\/(0 + 1). Suppose -4*n - 3*n = -z. What is the smallest common multiple of n and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*v + 6 = 0, -l - 9 = 6*v - 2*v. Let w(n) = -3*n**2 + 15*n**3 + 0 - 1 - 1 + 2*n - 14*n**3. What is the units digit of w(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4124, -4, 153, 16 in decreasing order.\nAnswer: 4124, 153, 16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8126 divided by 12\nAnswer: -4063\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -14. Suppose 3*a + 2*f + 8 = 0, 2*f + 8 + j = 3*a. Solve 2*i - 7 = -p - 2, a = -5*i + p - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 1:34 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 3, 3*n - 5*m + 6 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25461.\nAnswer: 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4324 and 6251?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-3))\/(18\/189). Let j = -84 - -182. What is the greatest common factor of j and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -553 - -1124. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 5*c**2 - 12*c + 12. Let i be f(6). Let m be ((-90)\/24)\/(18\/i). Solve -3*x = 3*q - 15, 3*x - 15 = m*q - 0*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4\/8 - 6*y**3 - 225*y**2\/8 - 147*y\/4 - 15 = 0. Calculate y.\nAnswer: -2, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 - 111. What is the least common multiple of (0 + c)*(-3)\/9 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 21*v**2 - 3*v. Let j be 3 + 56\/(-16) + (-17)\/(-2). Let i(p) = 6*p + 8*p - j*p - 4*p. Give i(m(f)).\nAnswer: 42*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by (-3 - -4) + 1*-4 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s - 3*x - 24, -732*x = -5*s - 733*x + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -6\/19 (c) -9 (d) 0.85 (e) 4 (f) 0.67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(-36)*(-12)\/16.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 1. Let b(k) = -2*k + 4. Let l(a) = -a + 1. Let v(y) = -b(y) + 3*l(y). Calculate -7*u(m) - 5*v(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477.0188 days to microseconds.\nAnswer: 41214424320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 138650?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-2))\/(5\/(-120)). What is the second derivative of -11*u + c*u**5 + 0*u - 27*u**5 wrt u?\nAnswer: -300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24572 - 0.05428. Put 5, 0.103, v, 0.3, -1 in decreasing order.\nAnswer: 5, 0.3, 0.103, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-661 - 2316 + 226)*(4*a - 29 + 29) as n + j*a and give j.\nAnswer: -11004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/5 - 1542*f - 7725.\nAnswer: 3*(f - 2575)*(f + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -98?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + -0.02. Let v = p - -0.03. Let s = 0.04002 + v. What is s rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llbl when four letters picked without replacement from bbbblbbllbb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - (sqrt(189) + 2*(sqrt(189) + sqrt(189) + sqrt(189)*2 - sqrt(189))))\/(sqrt(48)*-2))\/(sqrt(108)\/sqrt(432) - sqrt(99)\/(sqrt(44)\/sqrt(4))).\nAnswer: -9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2016)\/(-98))\/(-18))\/(12\/210)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-126)\/(-35))\/(36\/1380). Calculate the greatest common divisor of d and 1863.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + (-5 - (-182)\/35)*5. Let i(z) = -13*z**2 - 14*z - 7. Let o(a) = 9*a**2 + 9*a + 5. Determine c*i(x) + 7*o(x).\nAnswer: -2*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 399 - 385. Let h be 9 + (3 - 0) + -3. Let j(y) = 5*y - 1. Calculate the least common multiple of j(h) and x.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -10. Solve -v - 3*v = r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -125, 1, -5, -85 in increasing order.\nAnswer: -125, -85, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - 12*a + 2. Let t = -323 + 329. Give m(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 2*v**2 + v. Let c = 15 - 16. Determine g(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-1\/6)*b*b))\/(b\/(b**(1\/12)*b)))\/((b*b\/b**(-8))\/b*(b*b\/(b*b**7\/b)*b)\/b) assuming b is positive.\nAnswer: b**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/985728 and 7\/639183.\nAnswer: 81815424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 5 - ((-13 - -2) + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3077770.22 to the nearest 100000.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 34 - 15 + 5*m + (3 - 3 - 2*m)*(0 - 5 + 3).\nAnswer: 9*m - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6*t**2 + 32*k**4*t**3 - 3*k**2*t**3 - 3*k*t**3 + k*t wrt k.\nAnswer: 120*k**3*t**2 + 768*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52455 by -6.\nAnswer: 17485\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 3*a - 154, -138 = -2*a - x - 36. Calculate the greatest common divisor of a and 25948.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 23. What is the nearest to r in 4, 8, 0.3, -1\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let r(g) = 6*g**2 + 2*g. Let n(s) = 7*s**2 + s. Let h(i) = -5*n(i) + 6*r(i). What is q(h(p))?\nAnswer: -p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Determine y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4841*v + 470. Let u(i) = -62*i + 6. Let w(m) = 6*a(m) - 470*u(m). Let k(l) = -2*l**2 + 5*l**2 - 5*l**2 + 3*l**2. Give w(k(b)).\nAnswer: 94*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (34888\/275)\/4 + (-1260)\/15750 + 4\/11\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28337990 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.79, -3, -2\/9, 4, 8, -0.02?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 18 = -2*n, 33*n - 28*n - 45 = -3*a. Calculate the remainder when 66 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/1)\/(130\/(-60)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9437 - 9343. Put -4, -12, c in increasing order.\nAnswer: -12, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1448980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 630620, 1261242, 1891864, 2522486, 3153108?\n\"Answer: 630622*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*y + 6, y - 6 = -4*y - 3*b. Let m = -6 + 8. Suppose 0 = -u + 5*h - m, -3*u + 4*u - 4*h = -1. Put y, u, -4 in ascending order.\nAnswer: -4, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -0.0631.\nAnswer: 0.1369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*h**2 - 12*h**2 + 5*h**2)*(-2*h**3 + h**3 + 6*h**3).\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33665668.\nAnswer: 2, 127, 66271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -29, -35, -41?\n\"Answer: -6*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*i**2 + 198*i**2 + 294*i**2 + 246*i**2 - 1495*i**2.\nAnswer: -423*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + 3. Let u be (-14)\/33 + 13\/d. Let y be (-4)\/(-18) - (-40)\/(-18). Which is the closest to y? (a) -4 (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 417587008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 8*a - 169 = 3*j, -5*j - 60 = -2*a. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(88))\/sqrt(8) - sqrt(22)\/sqrt(2)*-3 - -3*(0 + sqrt(275)))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-8)*((o\/(o**14*o))\/o)\/o assuming o is positive.\nAnswer: o**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, q: 2, z: 4}. Give prob of picking 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 32*b**2. Let k(i) be the second derivative of i**5\/10 - 23*i**2 - 14*i. Let v(s) be the first derivative of k(s). Give l(v(f)).\nAnswer: 1152*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 326309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 6*j - 4. Calculate c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - 4.1. Let g = k - -2. Which is the nearest to g? (a) -5 (b) 0.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2426, 28, 11.\nAnswer: -2426, 11, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a factor of 19365951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 11:04 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as -137\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Let a be ((-6)\/8)\/((-150)\/16). Let j = 8\/25 + a. Sort -3, j, x in increasing order.\nAnswer: -3, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 + 0.34. Let u = x - -0.7. Let n = 0.52 - 0.02. Put n, -3, u in descending order.\nAnswer: u, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/300*-2*-15. Suppose 2*g + 4 = -2*g. Let z(v) = 2*v**2 + 2*v + 1. Let j(o) = o**2 - o + 1. What is g*j(l) + y*z(l)?\nAnswer: l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/4 + 9\/6. Let p(w) = -763*w + 4. Let k be p(0). Solve -2*z - 4 = f*n - 2*n, 0 = k*n for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 4*v**2 + 9*v - 4. Let z be p(-5). Let l = 27 + z. Suppose 0 = 4*c + m - 72, -c + l*c = 5*m + 14. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4573 and -416.\nAnswer: 1902368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + 23.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1400029cm to micrometers.\nAnswer: 1400.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9154594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-80)*5\/(60\/(-112)). Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - g**4 + 2*g**3)*(0 + 0 + 1) + 5*g**4 - 8 - 11*g**4 - 4*g**4.\nAnswer: -11*g**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 474086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1360 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2. Let d(z) = -39*z + 19. Calculate a(d(g)).\nAnswer: 4563*g**2 - 4446*g + 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.088471?\nAnswer: 0.442355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10154*t + 10274*t - 20464*t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -15. Let k be (g + -2)\/((-1)\/1). Let j = -81\/154 + -1\/22. Which is the third biggest value? (a) j (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3*t = -820, -5*q - 4*t - 820 = -q. Let d be (-69003)\/q - (-3)\/(-5). Calculate the highest common divisor of 21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = -18. Suppose -5*v + 0*v - 15 = 0. Let w = b + v. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -9262.\nAnswer: 6\/4631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*h = -26 + 3, h - 37 = 4*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w**3 + 3*w**2 + 3*w + 3. Let m(y) = -y**3 + y**2 + y + 1. Calculate -2*l(i) + 6*m(i).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/(-7))\/((-2)\/(-28)). Suppose 3*q + l = 5*q. What is the remainder when 41 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r - 10*r - 3800 = 0. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j. Suppose 3*s - 2 = -s - m, -3*s = 2*m - 4. Let a(v) be the first derivative of -9 + 7\/2*v**2 + s*v. Give a(w(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**3 + 675*g**2 + 14*g + 5. Let o(w) = -5*w**3 + 680*w**2 + 15*w + 4. Let n(y) = 5*o(y) - 4*p(y). What is the second derivative of n(a) wrt a?\nAnswer: -6*a + 1400","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**3\/6 - 7*p**2\/2 + 302*p - 1. Let l(r) = 3*r - 20. Determine 17*j(a) - 6*l(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58218 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z\/(z**(2\/67)\/z)))*z)\/((z\/(z*z**(-3\/2)\/z*z))\/z)*z\/(z**(-2\/21)*z)*z\/z**(-11) assuming z is positive.\nAnswer: z**(43801\/2814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 1038?\nAnswer: -1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6522, -6520, -6510, -6492?\n\"Answer: 4*c**2 - 10*c - 6516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**2\/4 - 5899*c\/4 + 44355\/2 = 0.\nAnswer: -5914, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003015734453 rounded to 6 dps?\nAnswer: -0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1855*v**4 - 1044*v + 4362880?\nAnswer: -7420*v**3 - 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*s + 17, 2*s = -0*s - 4*u + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1194 + -1191. Suppose 22 = 2*k - 4*f, k + 5 = -5*f - 19. What is the derivative of -1 + 0*a**d - 18*a**3 - k + 1 wrt a?\nAnswer: -54*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -43, -6, 1\/2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 119*n**2. Let h(l) = -1607311*l. Calculate h(u(c)).\nAnswer: -191270009*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**4\/24 + 7*s**3\/6 - 17*s**2. What is r(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157658.31 months to centuries.\nAnswer: 131.381925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/3)*z)\/(z\/z**(-28)))**(-1\/12) assuming z is positive.\nAnswer: z**(83\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -29. Sort h, 2, -3 in decreasing order.\nAnswer: h, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 5*q + 3. Let p(z) = -z**2 + 4*z - 4. Let m(w) = 4*a(w) + 5*p(w). Let h = 5 - 2. Suppose 3*o - h*c = 0, -3*c = 2*o - 7*c. Calculate m(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 273169?\nAnswer: -6\/273169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 6:10 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -18*n. Suppose n*s = 8*s - 8. What are the prime factors of (-6 - s)\/(-1*(-1)\/(-23))?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (9 + -2) - (4 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 16*w + 15*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + a787?\nAnswer: a784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 24. Let k be n(7). Solve -v + 2*j = -k, v = 3*j + 2 + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202.8628ng to micrograms.\nAnswer: 0.2028628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/15)\/((-4)\/30). Suppose -8 = -9*f + l*f. Find the third derivative of -7*b**2 + 0*b**4 + f*b**2 - 4*b**4 wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4128061\/32 or -129002?\nAnswer: -4128061\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-6))\/((-4)\/48). Differentiate -2*t - 6 + 4 + v + 0*t with respect to t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-88)\/(-33) + (-1)\/(-3). Let y(t) = t + 4 + t**3 - 3*t**2 + 0*t**2 + 0*t. What is the units digit of y(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**6\/24 + k**5\/30 + 29*k**2. Let u(r) = -r**3 - 12*r**3 + 2*r**3 - 5*r**2. Calculate -2*u(j) - 5*z(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.02 - 15. Let l = o + 0.18. Put l, 3, 1 in increasing order.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ddpcddpvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dgydhkdgkggssgdgssk. Give prob of picking 1 d, 1 y, and 2 g.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -7*q**4\/12 + 5*q**3\/6 + 679*q. Let b(r) = 13*r. Give b(n(x)).\nAnswer: -91*x**2 + 65*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 6*m**2 + 2*m + 8. Let d(q) = -q**2 - 2*q - 3. Let n be d(-3). What is c(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/832770 and -101\/19412794.\nAnswer: 873575730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - 15 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, j: 3}. What is prob of picking 1 j and 1 c?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 0 - -2)*(5 + 33256\/32). Is -1043 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -450*t**2 - t + 33.\nAnswer: -900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 7*t - 6. Let m be a(-4). Let q = -16 + m. Let b = 505 - 440. Calculate the remainder when b is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -17\/21, -4, -5, 0.015?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**2 + 26*o + 69. What is the remainder when y(-4) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 241*c - 12030 = -237*c, 0 = 3*s - 3*c - 12030. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n**2 - 7*n - 3. Give m(-5).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-438*40\/(-96))\/(865\/173)?\nAnswer: 73\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -11 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -21294 - 939?\nAnswer: -22011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hahbeee. What is prob of sequence eha?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - h**3 + 3 + 10*h + 7 + 2 to the form f + q*h**3 + a*h + b*h**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 1. Let l = z + 18. Suppose 4*a - l = -6, -2*u + a = -27. Calculate the remainder when 49 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 13. Let s(b) = -10*b - 7*b + 21*b + x*b**2 - 12*b. Let l(j) = -j**2 + 3*j. What is 8*l(z) + 3*s(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 - 1350042?\nAnswer: -1350065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*j - 7. Suppose 0 = 4*c - j*g - 204 - 68, -3*g = 5*c - 351. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*q + 3*q. Suppose 2*u + q = y - 21, -3*u + 30 = y. Suppose 0*r = -3*r + y. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (9 - (-7 + 15)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111111000 - -10111?\nAnswer: 1010000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(5\/(-2)). Let f be (-1)\/4 + 1\/(-28). Let r(c) = 6*c**2 + 389*c - 63. Let h be r(-65). What is the nearest to f in u, -5, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46\/31 - 6775\/93. Which is greater: g or -75?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 8:25 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxx when three letters picked without replacement from {s: 4, t: 2, y: 1, x: 4, b: 3, e: 1}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 100*v = 105*v - 54035, 4*v - 40526 = -3*k. What are the prime factors of k?\nAnswer: 2, 5, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 12)*(-w + w + 2*w)*((4 - 4 - 2)*(-2 - 1 + 1) + 3 - 2 - 4).\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114412 is divided by 1921.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1 = -4*m, 3*s = -2*m + 248. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 932 - 413. Let m = g + -519.00000229. Round m to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -7. Let i be s\/6*64\/6. Let q be i\/(-65) + 4\/10. Sort q, -1, 0 in ascending order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6071413\/165 - -36797. Calculate the common denominator of -131\/60 and c.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348400 = 2052*v + 3148*v for v.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4*w - 61 = 0, -1656*c + 1659*c - 13*w + 132 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 + 2*y**2 + y. Suppose -2*u - 3*u = 4*b + 29, 3*u + 15 = 0. Let f be o(b). Let n(i) = -f - 2 + 4 + 3*i. What is n(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416286 is divided by 636.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 599720 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -870 = 118*r - 292*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g - 99*g**2 + 2*g + 163*g**2 + 12*g.\nAnswer: 64*g**2 + 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.32 + -0.32. What is the biggest value in 4\/7, 5, -1\/7, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from znnznzz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.8+-29\nAnswer: -27.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*o + 1560. Let d = o - 239. Suppose d + 12319 = 2*m. What is m rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -309576 - 1?\nAnswer: -309577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a - 3*a**3 + 295*a + 358*a**2 - 358*a**2.\nAnswer: -3*a**3 + 325*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.179 + 3.579. Let r = -0.2 + 0.2. Which is the nearest to 8? (a) 1 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 2*o + 8. Let y be u(-6). Round y to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/859320 and 115\/726516?\nAnswer: 79916760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 2411\/5221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**2 - 2*q**2 + 3*q**2)*(5 + 2 + 0) as p + i*q**2 + v*q and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 46. Suppose -5*d - 4 + 24 = q, -4*q - 20 = m. Let f(n) = 367*n + 12. Is f(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.2 (c) 14\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62742\/11 + -5709. What is the nearest to 2\/7 in -3, u, -0.3, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g - 1. Let b(u) = -3*u**2 - 2*u + 2. Let i(t) = -b(t) - 2*l(t). Give i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((625\/(-15))\/5)\/((11\/(-66))\/(7\/7)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3138 to two decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Suppose -r = 6*r - 42. Calculate the least common multiple of b and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2228694941.9999921 - -2228694794. Let p = -148 - h. What is p rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1716 - 1735. Let c(r) = r**2 + 13*r + 14. Let h be c(-10). Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/7)\/((-9)\/(180\/20)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (665\/28)\/5 + 1\/4. What is the second derivative of -14*j - 85*j**s + 44*j + 3*j + 17*j wrt j?\nAnswer: -1700*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t - 42 = 0. Let w = t - -28. Suppose 4*q + 104 = 4*y, 3*y - 3 - 75 = -5*q. What is the remainder when y is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**2*z**3 - 173*u**2*z**2 - 368*u**2*z + 569*z**3 + 42*z - 9 wrt z?\nAnswer: -6*u**2*z - 346*u**2 + 3414*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 25*w - 12*w = -175 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, x: 7, y: 1, p: 6}. Give prob of sequence xxyx.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285243 is divided by 2855.\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 5, 6\/17, 6?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 0*l**5 + 0 + 0*l**6 + 0*l**2 + 1\/12*l**4 - 3*l - 2\/21*l**7 + 0*l**3. What is the third derivative of s(u) wrt u?\nAnswer: -240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11*l**2 - 42*l. Let s(c) = -32*c**2 + 126*c. Determine -17*i(x) - 6*s(x).\nAnswer: 5*x**2 - 42*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 18}. Give prob of sequence gkg.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + l + 0)*(87*l**4 + 82729722 - 82729722 + 15*l**3 + 3*l).\nAnswer: 87*l**5 + 15*l**4 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*t**2 - 3*t + 13.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*i - 283*i - 5436 = 0. Let k = i - -531. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8097482 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 2*w**2 + 3*w + 4. Suppose -11 - 1 = 3*l. Let j be (-6)\/l - (-105)\/42. Is s(j) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 618*p**5 - 4*p**4 - 5*p**2 - 301*p + 2. Let z(o) = 2*o**4 + 3*o**2 + o - 1. Let l(a) = -f(a) - 2*z(a). Find the second derivative of l(g) wrt g.\nAnswer: -12360*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 470, 945, 1420, 1895?\nAnswer: 2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, -5, 239, -1975 in decreasing order.\nAnswer: 239, 4, 1, -5, -1975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -6. Let m(f) = 2*f + 6. Let w be m(s). Let p(u) = 6*u + 5. Let d(k) = -5*k - 4. Let g(r) = 5*d(r) + 4*p(r). Calculate g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and 298024443.\nAnswer: 298024443.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -351678*-0.5\nAnswer: 175839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560 + 3867 = -233*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, f: 13}. What is prob of picking 2 j and 2 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51 + 191 - 38)*((-2*q**3 + q**3 + 2*q**3)*(-3 + 0 + 1) - 2*q**2 - q**3 + 2*q**2) to l*q**3 + t*q**2 + m*q + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/85 and ((-36)\/5)\/((-1870)\/(-75)).\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 9:53 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/(-1*sqrt(160)))\/(-4*(1*sqrt(5) - sqrt(5)) + (sqrt(405)*-2 - sqrt(405)) + sqrt(405)).\nAnswer: sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*b = 2264. Suppose -o + b = 49. Round o to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 15*h + 14. Let c be u(14). Let r(a) = 4 - 10*a + 2*a + c*a + a. Is r(-2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3505, 10072, 21017, 36340, 56041, 80120?\nAnswer: 108577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4 - 19856*k**3 - 967940*k**2 + 1995456*k - 1007658 = 0?\nAnswer: -9879, -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b + 20. Let k(m) = -m + 5 + 7*m + 0 - 2*m. Let x(g) = 6*a(g) - 26*k(g). Let h be x(-5). Solve v = 2*v - 3*f + 8, h = -2*v + 4*f - 14 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/4 - 865071*g\/4.\nAnswer: 3*g*(g - 288357)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-7))\/(2475\/(-652575))\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 1 - 3*i**3 + i**3 + 9 to d*i**2 + o + x*i**3 + j*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*n - 2*g + 18, -4*n + g = -18. Suppose -n*p = -0*o - 2*o + 19, 2*o + 4*p = -8. Solve -o*z + 6 = -5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 10*z**2 - 86*z - 174. Give j(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2 and -127\/2514?\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4167 in 0.2, -4, -3, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5 + 0 = 2*g, 0 = -5*g + a + 26. Suppose -4*t - 4*m - 1 = t, 8 = -4*t - g*m. Let j = t + 0. Solve 4*z - j = -2*p + 5, 0 = -4*p - 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2b5 - -10b?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2. Let w = 0 + m. Let u be 4\/(-1)*((-36)\/40 - -1). Which is the closest to w? (a) u (b) -2\/7 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**4\/24 + 12*y**3 + 438*y. Solve a(r) = 0 for r.\nAnswer: 0, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 13. Let w be g(10). Suppose -w*f = -0*f. Let i = -70\/53 - -433\/689. Is i less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2320 is divided by 210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*((-8)\/(-2))\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 160\/(-156) + (-6)\/(-9). Let z = h - -2981\/156. Find the common denominator of 2\/4 + (-94)\/(-44) and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*((-14)\/(-7))\/(-66). Let z(n) = -n**3 + 4*n**2 - 2*n. Let b be z(1). Is b greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 21.5 (c) -0.3 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/9 + 1969*m - 194810\/9.\nAnswer: -(m - 17710)*(m - 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 138, 216, 294?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3713134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 937977956 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2280 is divided by 1651.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.075 - 5.11455139.\nAnswer: -5.18955139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*r**3 + (r**3 + 0*r**3 - 2*r**3)*(-3 + 2 - 7) + (r + r**2 - r)*(0 + 0 - 4*r) - r**3 + 2 - 2 - r**3 + 0*r**3 + 4*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -6*k - 1. Suppose -10 = -2*b - f, -b = b + 2*f - 14. Suppose 0 = -q - 2*q - b. List the prime factors of x(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 362\/(-2534)*(-392)\/(-35)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -806.6 + 807. Let q = 1.4 + -0.4. What is the closest to q in -2, -4\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101413426*r**4 - 5*r**3 + 693298733?\nAnswer: -405653704*r**3 - 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-21)*2*-7. Let p be 4 - 12\/(6\/q). Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*q + 1328. Suppose 6*d - 10*d = -q. Let w = d - 49. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 11*z - 5*z - 5*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 53*r**2 - r + 74. Let j be p(53). Let n be (j\/(-6))\/(-7) - 0\/1. Which is the nearest to 1? (a) n (b) 0.01 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 1, k: 2, l: 1, e: 1, f: 1}. What is prob of picking 1 e, 1 f, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 723 - 722. Let f = -5 + 2. Let h = f - s. What is the closest to 0.1 in h, -1\/2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/180 - ((2 - 243\/30) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*t - 30 = 4*u + 446, -8 = -9*t + 4*u - 14 + 146 - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87254 = 4*b + h, -50453 = -5*b + 3*h + 58589. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d4 (base 14) to base 4.\nAnswer: 21002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10202 (base 5) to base 7\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -42. Let g(x) = 3*x - 17. Let s be g(y). Let t be -2*s - (-12 + 8). Solve 2 = -4*f - t*p, -p + 1 = 2*f + 2*p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216754 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 10*m - 12 = 0. Suppose 12 = -k - m*y + 2, 3*k - 14 = 2*y. Let t be ((-8)\/(-24))\/(k\/6). Solve -1 = n + t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615378432 a multiple of 2944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u - 7. Let g be t(-2). Let m(f) = -f**2 - 10*f - 1. Let r be m(-10). Which is the closest to r? (a) g (b) 2\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.1 (b) 1 (c) 52\/59 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17990*w**2 - 119631.\nAnswer: -35980*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -233 + 239. Let d be x\/(-11) - (-244)\/44. Solve 11 - d = -2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60167, -60163, -60159, -60155, -60151?\nAnswer: -60147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from tcctcccctc?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -2 - 16\/(-4). Suppose b + 3*b - i*y + 24 = 0, -7 = 3*b + 4*y. Let h = b + 10. Solve 4*o - 35 = h*j, -2*o + 9 + 16 = -5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 219576363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/24)\/(3\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6136509657?\nAnswer: 3, 3559, 574741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2 + 84\/57. Let l = k - 8\/57. What is the closest to l in 3, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261204425?\nAnswer: 5, 10448177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35228796 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 3 = 4*m. Suppose -x = 4*x - m. Suppose -4*s + 7*s = -15. Put 5, s, x in decreasing order.\nAnswer: 5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*(12\/(-8) - -1) + -2. Suppose -b*c + c = -6. What is l in -c*l**2 - 4\/3*l + 10\/3*l**3 + 0 = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.9 - 0.1. Let r = k + 18. Let g = -0.9 - 0.1. Which is the second biggest value? (a) 0.3 (b) g (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -210200101012?\nAnswer: -210200101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4589 = -9*q + 32840. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 318027 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p - 6*p - 9*p - 8*p + 34*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1433578124*v**6 - 135073446*v**2?\nAnswer: 172029374880*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 z when two letters picked without replacement from {z: 1, l: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1384a (base 11) to base 9\nAnswer: -28860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 165*h**3 - 165*h. Let m(i) = i. Give 330*m(q) + 2*y(q).\nAnswer: 330*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.18 (b) -321 (c) -2 (d) 3 (e) 0.5 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -463 + 716. Let z = w - 24. What are the prime factors of z?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3334.43? (a) -21 (b) 5 (c) -1\/5 (d) -3 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 15017*s**2 + 29732*s - 18. Let d(z) = -19308*z**2 - 38227*z + 23. Let v(b) = -18*d(b) - 23*g(b). Find the second derivative of v(n) wrt n.\nAnswer: 4306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4459*h + 294269. Give t(66).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*g + 18910 = 53*g. Calculate the highest common divisor of g and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00512 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9016590 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 95649 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1237.85133 to the nearest ten.\nAnswer: -1240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 3*z - 2. Let y be b(-6). Let g be 1\/((-98)\/(-21) + -5). Let v be 90\/21 + g + (-38)\/(-14). Solve v*q - 5*t = y, 4 = 4*q - 3*q - 2*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.714 - 25.714. Which is the closest to 1? (a) i (b) 9 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrt when three letters picked without replacement from aatartatvarvrtrv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970670 to the power of 1\/2, to the nearest integer?\nAnswer: 1404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 344 = -3*y, 0 = -3*h + 2*y + 176 + 900. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 19 = 31. Suppose i*r = -4*o + 1161, -5*r - 990 = -5*o + 435. 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: Is -417\/26146 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-8)*12\/10. Suppose -4*r + 35 + 11 = -o*i, -60 = 3*i + 3*r. List the prime factors of (-2184)\/i + 6\/9.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255360 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 3\/2*v**2 - v**4 + 0 - 9*v + 0*v**3. What is the first derivative of k(y) wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.031 and 40.318595.\nAnswer: 40.287595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3173, -2\/35, 0.2, -25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19005739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c - 6. Suppose -5*h = 5*m - 25, -h = 4*m + h - 20. Suppose -2 = -m*p - 22. Let s be l(p). Calculate the greatest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 times -0.45376?\nAnswer: 0.1315904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4, -4983 = -5*a - 2*r + 4*r. List the prime factors of a.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43 or 54?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6804 and 396.\nAnswer: 74844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*r - 2, -2*r + 3 = -2*k - 1. Let a be k\/((18\/(-15))\/3). Let d(c) = -183*c**2 + 5*c. Let h be d(a). What is h rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, 537, 825, 1131, 1461, 1821?\nAnswer: 2217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349793043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (96\/(-54))\/(-4)*-140538*-3. Suppose -43216 + m = 24*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/4*((-30)\/6)\/((-1)\/1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 + 2*n**3 + 0*n - n + (3*n**2 + 2 - 2)*(-3 + 3 - n).\nAnswer: -2*n**3 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -374, -724, -1064, -1388, -1690?\n\"Answer: q**3 - q**2 - 354*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -218*x + 215*x + 3. Find the common denominator of (85\/(-204))\/(x\/(-44)) and -3\/37.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 242196748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 108 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 575 = 8*h + 287. Suppose -h*n + 22*n = -14938. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*1)\/((sqrt(88) - 2*sqrt(88))\/sqrt(8)) + -2.\nAnswer: -2*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:39 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 95 = 184 - 114 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 7*d**2 + 8*d + 2. Let m be h(-6). Let x = m - -2576\/5. Is x bigger than -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1003301 (base 7) to base 9\nAnswer: -200888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 324 + 3090 + 5959 = -230*a + 1323 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -2932.\nAnswer: -5\/2932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -60.8684974?\nAnswer: 59.8684974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13143 by 1.\nAnswer: -13143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*c - 3. Let y(h) = 41*h + 8. Is y(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.97 + -66.1.\nAnswer: -67.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:56 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62213893.\nAnswer: 7, 8887699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -54? (a) 0.5 (b) 3 (c) -1.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytppanii. Give prob of sequence na.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r = -r - 999. Suppose -5*q + 8 = 23, 0 = -5*j + 4*q + r. Sort 3, 0, j in decreasing order.\nAnswer: j, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 13*p + 48. Let d be r(16). Suppose d = 47*n - 50*n - 2970. Round n to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.7 * 1430.327.\nAnswer: 15304.4989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -19 - 7 + 23 - 6*o + 6*o + 9*o + o**2. Determine r(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-2) + -1)\/((-23)\/69). Suppose 0 = 2*b + x - 292, 258 + 179 = m*b + 2*x. Is b a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 119*x + 17*x**2 - 119*x + (-4 + 4 + 2*x)*(x - 4*x + 5*x) as f + y*x + u*x**2 and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**5 + 790*n**4 - 265*n**3.\nAnswer: 5*n**3*(n + 53)*(3*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, t: 2}. What is prob of picking 1 n and 2 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 + 0.2. Let q = v - 9.05. Let o = -1125 - -1125.1. Sort -0.5, o, q in ascending order.\nAnswer: q, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1438 + -988. Suppose -2*c - 2*t = -188, -3*t + 8*t = 5*c - n. List the prime factors of c.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n - 4*n + n + (3 + 1 - 6)*(-6 + 0 + 3)*(2 - 2 - 6*n) in the form j*n + o and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 51*i - 455. What is the least common multiple of 28 and t(13)?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44958 and 1948180?\nAnswer: 5844540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42925 is divided by 482.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -5*g - 64. Calculate the remainder when 29 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2592287?\nAnswer: 2592287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25487*n + 1638 = 25526*n for n.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q**2 - 5*q**2 + 14*q**2)*(q**3 - 2*q**3 + 0*q**3) + (3 - 2*q - 3)*(-1 + 1 - 4)*(2*q**3 + 2*q**4 - 2*q**3).\nAnswer: 19*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 4*i + 5*i + 0*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 871394683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21389470 by 5.\nAnswer: 4277894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -220617385 take away -0.43511?\nAnswer: -220617384.56489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (3693*(2 - 3))\/(33\/(-22)) a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74351147?\nAnswer: 13, 1151, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -1827821215?\nAnswer: -1827821247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2 + 62*k - 1. Let j(p) = 2*p**2 - p. What is 3*j(h) - t(h)?\nAnswer: -h**2 - 65*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/218 and 63\/8.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**2 + 39*r**3 + 0 - 1 - r**2 - 4*r**2 + 2*r. Let z be u(1). Let j = z - 26. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5642344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41 - 114 + 37 + 38 - 8215*h to the form c*h + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1302\/23 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 36. Let y = 23 + b. Solve -11 = -2*p + 5*v, 0*v - y*v = -p + 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75356*l**5 + l**4 + 1459119*l**2 wrt l?\nAnswer: -4521360*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -257598 by -11.\nAnswer: 23418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/24)\/(1\/(-3)). Solve -2*j + 4 = f, v*j + 3 - 5 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = z - 2*x, 6*z = 4*z - 2*x + 306. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396 (base 10) in base 13?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1504, 2, 1766, -22 in increasing order.\nAnswer: -22, 2, 3, 1504, 1766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzz when three letters picked without replacement from {f: 4, s: 1, k: 3, z: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*1 - (13 + -11). Suppose -2*m = v - 11. Factor 0 + 1\/2*s**2 - 1\/2*s**3 + 1\/2*s - 1\/2*s**m.\nAnswer: -s*(s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*c + 13. Which is greater: c or 15\/47?\nAnswer: 15\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22341*u**2 - 44776*u**2 + 22568*u**2.\nAnswer: 133*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 10 = 5*z, -18 = -0*z + 3*z - 3*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 581626, 1163249, 1744872?\n\"Answer: 581623*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1069178 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22.2802 or -0.003?\nAnswer: 22.2802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1820515 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.51 - 0.49. What is the closest to 0 in c, -1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -268707 (base 9) to base 6.\nAnswer: -3302354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 6. Let r(t) be the first derivative of -t**2\/2 + 10*t + 1. What are the prime factors of r(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.541610829 to 4 decimal places.\nAnswer: -0.5416","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2012 (base 3) in base 4?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*j**2 + 3)*(-4 + 4 + j) - j - j**3 + j - 47*j + 47*j - 11*j**3.\nAnswer: -14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6563*x - 432 = 6599*x for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/5 - 186194*v**2\/5 + 866723760*v - 4333432608\/5.\nAnswer: 2*(v - 46548)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -234 - -5?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, l: 3, t: 7}. What is prob of sequence tc?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1387 + -1248.7. Let v = f + -138. What is the nearest to 1 in 0.1, -1\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 573, 962, 1165, 1182, 1013, 658?\n\"Answer: -93*h**2 + 668*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 316\/(-36) + (-52520)\/(-6060)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1331) - sqrt(1331) - sqrt(1331) - sqrt(1331))**2*-5.\nAnswer: -26625 - 220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -314 - -1741. Let h = -147 + y. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - b + 24. Let v be d(0). Suppose 0 = -297*n + 6*n + 1455. Solve -4*m = -8, n*q + 2*m - v = -0*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3833151373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 164*f**2 - 11*f wrt f?\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.13 and 3920.\nAnswer: 3919.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67\/3 + -23. Which is the closest to -2? (a) -12 (b) 2\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21490580.93 rounded to the nearest one hundred thousand?\nAnswer: -21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-20)*(-1)\/((-1)\/71).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**2 + 10*y**2 + 3*y + 10 + 3*y - 8*y. What is the hundreds digit of c(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 84*u - 425*u - 6 - 4.\nAnswer: -341*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2592 and 41760.\nAnswer: 375840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-1 + -28 + 16)) + -8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-10 - (1 + -16)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/40 and 89\/180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001563 to 6 decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t + 2. Let v = -1002.3 + 1001.8. Which is the closest to t? (a) 2\/7 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 + 3*d**2 - 4*d**2 + (1 + 3 + 2)*(9*d**2 + 0*d**2 + 6*d**2) to the form t*d**2 + m + j*d and give t.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*m - 395*m + 2175 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5674961.\nAnswer: 5674961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 474\/(-8)*4\/48 and 91\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398885323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-14)*(258\/4 - -16). Put 6, -1, n, 3 in descending order.\nAnswer: n, 6, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 316\/(-5085) + (-7190)\/(-406235).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 1\/9, 1\/7.\nAnswer: -0.4, 1\/9, 1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-8) + 1 + (-2772)\/(-9072). Let u = 0.3 - 0.1. Let w = 675\/22 - 61\/2. Which is the closest to u? (a) j (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1377181 and 2639?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 25*q + 29. Let j(f) = f**2 - f. Let z(i) = 4*j(i) + k(i). What is the lowest common multiple of 3 and z(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97000 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znanzbzndanna. Give prob of picking 1 d, 1 n, and 1 a.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13018743619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -9*j - 28. Let a(f) = -f**3 - f**2 + f - 21. Let x = 6 + -6. Let g be a(x). Is l(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 522114346?\nAnswer: -522114354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907155938.\nAnswer: 2, 3, 67, 1063, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/9 - 12904*x\/9 + 181048\/9 = 0 for x.\nAnswer: -6466, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 96, 176, 252, 318, 368?\n\"Answer: -g**3 + 4*g**2 + 75*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 139, 293, 509, 787, 1127, 1529?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-52298)\/10)\/(119\/(-595)). Calculate the greatest common divisor of 331 and i.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - s. Let h = 101 + -59. Let l = h + -41. Let t(j) = 2*j + 2. Let w be t(2). Let x(y) = -9*y**3 + 6*y. Calculate l*x(r) + w*m(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*v + 14, 97827*v = 31*z + 97822*v + 46 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4546289 to 3 dps.\nAnswer: 0.455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 13, i: 3}. What is prob of picking 2 i?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/172 + -10537\/2580. Let d be (-247)\/6 - 2\/4. Let g = -44 - d. What is the common denominator of g and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (584 - 625) + 4 + -4 + (-6 - -1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/12)\/((-5)\/15). Solve 4 = i*l - 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-9)\/90*-58.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -19, -5, -6, 3 in decreasing order.\nAnswer: 9, 3, -1, -5, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 10*w**2 - w - 7. Let g(k) = -19*k - 85. Let v be g(-5). Calculate u(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*d**5 + 2*a*d**4 + 4*a*d**3 + 2*a + 143*d wrt d?\nAnswer: 40*a*d**3 + 24*a*d**2 + 24*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-5 - -16) + -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:36 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 20*b - 18. Let c be p(3). Let w = c + -23. Calculate the greatest common factor of w and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1507 and 31373?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -20. Find the first derivative of -g**3 + g**3 - 6 + l - g**4 wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -580 or -579?\nAnswer: -580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15211.3 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 100*p**2 + 15*p + 15. What is the remainder when i(-1) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*k - 26. Solve k - 3 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131 + 3?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 61590\/45841?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 1:18 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07329 - -10.8222?\nAnswer: 10.74891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 14*t**2 - 13*t + 2. Let a be l(-13). Suppose 12 = 5*g + g. Let h(b) = 15*b - b - 8*b - 5 - g*b**2 + 3*b**a. What is h(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2568 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 9446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98 - 4434957168.\nAnswer: -4434957070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 2116844 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*g - 34*g + 715. What is the remainder when 96 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, 1, 138, 417, 886, 1593, 2586?\nAnswer: 3913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(-3)*(-474)\/(-20) and (8\/(-16))\/(4\/(-138)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -0.29, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11480394 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -3*u**2\/2 - 6*u - 3. Let q(o) be the third derivative of -o**4\/12 - 5*o**3\/6 - 3*o**2. Calculate -5*j(r) + 6*q(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -434870, -869749, -1304628, -1739507, -2174386?\n\"Answer: -434879*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 - 0.1779507358.\nAnswer: 88.8220492642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5) - (2026\/(-240) - (-384)\/9216).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 3*f**2 + 3 + (-2*f + 2*f + f)*(-4*f + 4*f - 2*f) - 145*f**2 + 4894*f - 4894*f.\nAnswer: -150*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9739 (base 11) in base 5?\nAnswer: -402433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -1005*s**2\/2 + 1020*s + 477. Find the first derivative of h(n) wrt n.\nAnswer: -1005","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-80)*4)\/(18\/5).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3069 - 3069 + h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 213 = -171. Solve 4*k - 3*z = -z - v, 0 = k - 5*z + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 241*u**2 - 7*u + 32. What is the hundreds digit of z(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(12))**2*-3.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) 4\/19 (c) -0.9 (d) -76969\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - c**3 + 0*c**3 + (0 - 4 + 3)*(3*c + 2*c**3 - 3*c) + (-c - 3*c + 6*c)*(-3*c**2 - 2*c**2 - 10*c**2).\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/60 + x**4\/8 - 5*x**3\/6 + 2*x**2. Let a = -20 + 15. What is the units digit of f(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 105 in increasing order.\nAnswer: -4, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -340 (base 6) to base 3\nAnswer: -11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/10)\/((-2)\/(-28))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4012)\/(-136) + ((-14)\/(-12))\/((-9)\/(270\/(-70)))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 112, 97, 92, 103, 136?\n\"Answer: g**3 - g**2 - 19*g + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3857669 to the nearest integer?\nAnswer: 1964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 578258*f - 947117 wrt f.\nAnswer: 578258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.08 - 0.08. Let q = 11.91 - l. Let k = q + -4.91. What is the second smallest value in -1\/11, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xflxelxlaflaxo. Give prob of sequence oa.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 26*c + 9*c. Solve 3*k + 5 - 20 = c, -2*o - 2*k = -6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 762973.3 millennia in months?\nAnswer: 9155679600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 3*i + i)*(0*i - i + 3*i) - 4*i**2 - 2*i**2 + 2*i**2 + 2*i**2 - 2*i**2 - i**2 - i**2 - 4*i - i**2 + 2*i to u + s*i + c*i**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -5*x**3\/6 - 5*x**2 - 12*x. Let m be s(-3). Is m\/((-50)\/15)*388\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*g - 743*n + 742*n - 79, 0 = 4*g + 4*n - 120 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*b - 2633*b**2 + 103*b + 2*b**3 + 2633*b**2 + 11 as z + o*b**3 + j*b + i*b**2 and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2 - 2*j. Let f be y(3). Let o be -2*(-2 + -3)*1. Let c be 4 - (-5 + 5)\/(-2). Solve c*s = f - o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 6:56 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 + 1)*-1*1. Suppose -5*o = -g*o + 20. Find the common denominator of 57\/22 and (13\/(-12))\/(6\/o).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(236\/(-177)*-3*1\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3.8. Let h = z + 0.6. Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - j**2 - 1. Let v be q(0). Let f(a) = a**3 + 5*a**2 + 5*a + 1. Let s be f(-4). Is s less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 + 1)\/(19\/57)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -8. Suppose -31*w + 629 - 567 = 0. What is the second smallest value in w, 5, m, 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - i. Let q(f) = 32*f**2 - 40*f. Let m(g) = 2*q(g) - 80*s(g). Let w(d) = -7*d - 18*d + 32*d. Determine m(w(n)).\nAnswer: -784*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2309*z**5 + 314*z**4 + z**2 - 61714211*z wrt z?\nAnswer: 46180*z**3 + 3768*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by -333?\nAnswer: 13\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -4 + ((1*sqrt(125) - sqrt(125)) + 5 - (3*(sqrt(125) + (-1*sqrt(125) - sqrt(125))) + sqrt(125))) + 0)*1)**2.\nAnswer: -20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 + 20\/4 + -1 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*d = -17, -d - 1 = 3*s + 2*s. Let f(b) = -2*b**2. Determine f(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10896, -43705, -98388, -174951, -273400, -393741?\n\"Answer: -k**3 - 10931*k**2 - 9*k + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790668 is divided by 16468?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/10800 and -127\/99900.\nAnswer: 399600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6369072, -6369086, -6369100, -6369114, -6369128, -6369142?\nAnswer: -6369156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1))**(-46)\/(c**18*c\/(c\/c**(13\/6)*c)) assuming c is positive.\nAnswer: c**(161\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1831, 5, -249, -16 in ascending order.\nAnswer: -249, -16, 5, 1831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*d - 15, -3*r + 0*d - d = 93. Let q be (6\/(-9))\/((-4)\/r). Put -0.3, 0, q in decreasing order.\nAnswer: 0, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/6 of a minute in seconds?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 292 = -277, -4*d + 36 = 3*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 47\/4*(10 - 2). Let r = 10 + s. What is the units digit of -3*(r\/(-6) - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2940270230 to the power of 1\/4, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + -1 - -4)*0. Let i be (-3)\/(3 + w\/(-2)). Is i greater than or equal to 16\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 137, -2, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -75567\nAnswer: -4\/75567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*g - 40*g + 88*g + 761 to q*g + l and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*170\/425*-15. Let m(s) be the third derivative of 0*s + 1\/540*s**6 - 1\/9*s**c - 1\/54*s**5 + 7\/108*s**4 + 0 - 4*s**2. Factor m(z).\nAnswer: 2*(z - 3)*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 99\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from {d: 1, z: 1, s: 2, m: 1, n: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2641, -5768, -8895, -12022?\n\"Answer: -3127*s + 486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.221 - 0.831. Let f = i - -0.61. Which is the third biggest value? (a) -1 (b) 1\/2 (c) -0.5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110101 + 10?\nAnswer: 10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5790000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, 66, 96, 126?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/6)\/((-6)\/171*-19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*m = -214*m + 88 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -360\/835439?\nAnswer: -360\/835439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 1, h: 1, n: 1}. Give prob of picking 1 v and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11015 (base 9) to base 10\nAnswer: 7304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1608636, -1608432, -1608216, -1607982, -1607724, -1607436, -1607112, -1606746?\n\"Answer: k**3 + 197*k - 1608834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5b5b - -63?\nAnswer: -5ae8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 5*h**2\/2 - 4*h - 3. What are the prime factors of y(5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/9 or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 754531991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2. Let c = -61 + 367\/6. Let s(g) be the second derivative of g + c*g**3 + 0*g**2 + 0. Give s(f(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -103.\nAnswer: -4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-33018)\/(-8))\/(1377\/(-183600)). Round q to the nearest one thousand.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1843, -2032, -2343, -2776, -3331, -4008, -4807?\n\"Answer: -61*t**2 - 6*t - 1776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/22 + -467\/66. What is the common denominator of -27\/7 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(5\/11)\/h)\/h*h*h**14 assuming h is positive.\nAnswer: h**(159\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 9:40 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 14 = -b, -q - 4*b - 36 = q. Let t = q + 11. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 6600 = -5*y. Let w = -433 - y. Calculate the remainder when w is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 13*p + 168. Let z be 18\/(-4)*(-120)\/18. Let q = p + z. Which is smaller: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 19 + 77 + (3 + 2 - 3)*(0 - 5 + 4))*(0*a - 2*a + a).\nAnswer: -73*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50524 + 20?\nAnswer: -50504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (2 + 0)) + 4 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -889\/4 - -222. What is the second biggest value in 3\/5, 2, -4, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 18 = -4*d, -14 = 4*y + 7*d - 9*d. Let r(x) = 14*x - 12. Let g(b) = b - 1. Let t(n) = y*r(n) + 12*g(n). Let h(m) = -16*m**2. Determine h(t(q)).\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -2*q + 8. Let v be 1 + (-4 - -1) + q. Find the first derivative of -35*w**2 + 9 + 62*w**v - 39*w**2 wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/9)\/(1\/6). Let y be -2*(-2 - (1 + -1)). Sort 1, y, v in decreasing order.\nAnswer: y, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 579 + -579.1. Suppose -3*l - 2*t = -0*l, 0 = 4*l + 2*t - 2. What is the nearest to l in -4, o, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - s + 178, 10*s - 12*s = -3*v + 175. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + (sqrt(112)*-4 + 0)**2).\nAnswer: -8975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7*k = -160. Let b = -3398 + 3438. Calculate the greatest common divisor of k and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (12 - 33)) + (1 + -6 - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 3\/2)*(-1208)\/6342. Which is the closest to -1? (a) 8\/5 (b) 3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -25, -30, -37?\n\"Answer: -b**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 46. Suppose 0 = n + 2*y + 12, 2*y + 8 = 2*n + 2. What is the lowest common multiple of s and (-123)\/(-15) + n\/10?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 6*n**3 + 4*n**3 - 21*n**2 + 3*n**3 - n**4 + 0*n**4 to the form r*n**4 + l*n + y*n**3 + j + h*n**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/20 - (-322)\/(-460).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -0*q - 0*q - 5*o + 6*o, 13*q + 3*o = -5 + 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-176)\/5 - 5\/(-25). Let q = n - -37. Suppose 2*i = -4*z + 646, 2*i - q*z = 804 - 164. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -59*u + 385. List the prime factors of o(-34).\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 1. Suppose -4*p = -w - 7, 4 = 3*p - 5*w + 3. Let v(x) = 3 + x**2 - 4 + 0 + x. Determine p*o(a) + 2*v(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30884 and 38?\nAnswer: 586796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 568 - 568.000041. What is u rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/9)*(y*y**(-24)*y)\/y assuming y is positive.\nAnswer: y**(-211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 429946.\nAnswer: 2, 11, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 6:21 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 + 129 + -37 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**4\/2 + 5*h**3\/3 - h**2\/2 - h - 23. Let z be w(2). Solve 13 = 5*r + z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -575*j + 145 wrt j.\nAnswer: -575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/31? (a) -3\/8 (b) -530 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(1100) + -2*sqrt(1100)).\nAnswer: -sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 3\/8, -4, 0.1, 1, -47\/9 in decreasing order.\nAnswer: 1, 3\/8, 0.1, -1\/2, -4, -47\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-1*(0 - 1)). Suppose 0 = 4*q - 3*q - b*h - 24, 8 = 2*q + 4*h. Suppose 4*k + 44 - 180 = 0. What is the remainder when k is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*a - 19, h = 3*a + 8 + 11. Let k = h - 19. Suppose 2*f = -u + 7, -2*u + 0*u = -5*f + 4. Solve n + 2*i + 5 = k, 0*n + 35 = u*n - 4*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1427, 2834, 4243, 5654, 7067, 8482?\nAnswer: 9899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 514 and 6116.\nAnswer: 3143624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 68 = 3*d + 3*g, 3*d + 3*g - 42 = 0. Let f = -9 + 12. Suppose 4*r - 24 = f*r. What is the remainder when r is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 31*t + 61*t + 74*t + 63*t - 42*t. Let p(a) = a**2. What is k(p(v))?\nAnswer: 187*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 + 82. Let o(b) = b**2 + 8*b - 3. Give o(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -280\/17 + 66\/17*r - 2\/17*r**2 = 0?\nAnswer: 5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 5*l + 8, 10*w - 5*l + 6 = 8*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 23 + 17. Let q be (-24496)\/(-9 - -1) + x. What is q rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*i - 10, p - 3 = i - 2*i. Suppose -t = 5*h - 36, 2*t - 72 = -i*t - 2*h. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239162023 to the power of 1\/2, to the nearest integer?\nAnswer: 15465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 12019225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1546769.38 to the nearest 10000.\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 4*h**2 + 3*h + 21. Suppose 0 = -2*y + 2*d + 94, 3*d + 32 = y + 7*d. Calculate the lowest common multiple of y and z(-4).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9)*9 + 9. Let n(k) = -b*k + 4 + 43*k - 1. Is n(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1077, 0, 234, 23 in increasing order.\nAnswer: -1077, -6, 0, 23, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 12 - -43 - (-59 + 61)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -0*s + s. Solve -15 = -s*w + 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from piwwdwiwpdd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 86.\nAnswer: 3354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2\/7 + 424*x\/7 + 1236\/7.\nAnswer: 4*(x + 3)*(x + 103)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292874 is divided by 125?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z - 2*n, -7*z + 5*n + 5 = -2*z. Suppose -z*u - 17 - 13 = 0. Let a(l) = -l**2 + 4*l + 1. Let r(b) = b. Give u*r(i) + 2*a(i).\nAnswer: -2*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**3\/6 + 157*j. Let x = 17 - 12. Let k(u) = 3*u**2 + x*u**2 - 4*u**2. Determine a(k(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = -193*r + 7*r - 3434 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*l + 42. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*l + 11 = 0, 2*q - 27 + 6 = -3*l. Solve -q*z + 4*s = 18, -2*s = z - 2 - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 70 = -2*x, 2*j - 47 = 90*x + 94*x - 189*x for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42294 and 216258?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**2 - p - 36. Calculate j(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 14 = z. Solve -3*c = x - z*c - 16, -2*x + 5 = c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 5*v. Let r(w) be the third derivative of -w**4\/24 - w**3\/6 - 5*w**2. Let y be r(-6). What is the tens digit of f(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-120)\/(-28) + 2\/(-7). Suppose -2*j = 5*w - 105, 4*j - 77 = -m*w + j. Let k = 8 - 5. Solve k*o = f - 0*f - 18, -4*o = -f + w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2180.937125 - -50.\nAnswer: -2130.937125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**3 + 0*b**3 - b**3)*(89 - 61 - 22 - 6 - 49129*b) in the form f*b**2 + d*b**3 + h*b**4 + l*b + j and give h.\nAnswer: 98258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*p + 2*p - 36, 180 = 5*x + p. What are the prime factors of (-1)\/((-3)\/x*1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 1. Let s be c(-1). Let d be s\/3*54\/(-21). Let i(g) = 68*g + 544. Let q be i(-8). Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3. Let p(v) = -1. Let j(i) = -g(i) - 4*p(i). Let w = -6840 - -6839. Let b(d) = d - 6. What is w*b(n) - 6*j(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4686*g - 22696. What is s(-5)?\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 - -75. Calculate the remainder when l is divided by -24*(-3)\/(-9)*-2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5981*d**2 + 7757*d**2 + 13277*d**2 + 20133*d**2 + 27536*d**2.\nAnswer: 62722*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4556 and 6?\nAnswer: 13668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57.3 + 53. Suppose 0 = 5*q - 15. Which is the biggest value? (a) q (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 < 963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 27*j**2 - 44*j - 18. Calculate q(-29).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/((-432)\/(-27)))\/((-2)\/2 - 0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -25, 0, -4, 28, -24 in ascending order.\nAnswer: -25, -24, -4, 0, 18, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9571793 = 56*n + 9577673 for n.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-five halves of a century?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 195 - k**3 - 7*k + 1568*k**5 - 1713*k**5 + 1680*k**5 wrt k.\nAnswer: 30700*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2451264, -4902521, -7353778, -9805035, -12256292, -14707549?\nAnswer: -17158806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 18*d**5\/7 - 2556*d**4\/7 - 2*d**3\/7 + 284*d**2\/7 = 0.\nAnswer: -1\/3, 0, 1\/3, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09382214 take away 118?\nAnswer: -118.09382214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.88043 - 0.88. What is x rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 8:31 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 37 = -0*x - 3*t - 9, -23*t = -4*x + 246 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28744 and 7816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 2*n - 7. What is the smallest common multiple of 11 and x(5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -34. Solve 2*f + z = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-13))**(-3\/2)\/((q*q**(13\/4))\/q**(1\/35)))**(-2) assuming q is positive.\nAnswer: q**(-2139\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/100 - 3*j**4\/40 + j**3\/5 + 3*j**2 - 6. Factor q(m).\nAnswer: 3*(m - 2)*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26\/3, -0.5, 36, 1\/3, 53, 5 in ascending order.\nAnswer: -0.5, 1\/3, 5, 26\/3, 36, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 750078.\nAnswer: -1\/250026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310040 (base 6) in base 11?\nAnswer: 80697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - 5. Let g(b) = -b**2 + 2 + 15*b**2 - 3. Is g(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.69999974 + -2.7. Round o to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -22*v**2 - 675*v + 222. What is f(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5\/v)\/v**9 assuming v is positive.\nAnswer: v**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 v when four letters picked without replacement from vvvvmvvvvmvmmvvm.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 37*i + 9. Give m(-3).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 18*x**2 + x + 1. What is g(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17674073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**2 - 3*d + 3*d)*(-134 - 295 - 367 - 137).\nAnswer: -1866*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*l + 100514 = -26363, 0 = o + l - 31721. What is the greatest common factor of 48 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 249792 and 296628.\nAnswer: 4746048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**3 + 2*v**3 + 0*v**3)*(-1 + 9 - 3 + 0 - 1 + 3 + (4 - 3 - 2)*(2 + 1 - 1) + 4 + 0 - 5) in the form w*v**2 + s + n*v + i*v**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -8*k + 79. What are the prime factors of 53 - k\/(7\/2)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-372)\/(-744))\/((-2)\/(8\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 562 + 22. Let n = k + -583.779. Round n to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003287202933 to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 209256*l - 209267*l - 110 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 8:34 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**4 + 5*x**3 + 4*x**2 + 4*x. Let c(h) = h**4 - 6*h**3 - 5*h**2 - 5*h. Let j(p) = 4*c(p) + 5*n(p). Determine v so that j(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(100\/(-2770)) + 4 + 0?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 124 = 2. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 167978300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11411, -11402, -11393, -11384?\n\"Answer: 9*k - 11420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-2)\/4 - (-15 - 5050\/(-300)). What is the second biggest value in -1\/76, 0.1, 4, c, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660*k - 656*k - 156 = 0. Calculate the remainder when k is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -462 in -0.19, 0.1, 2\/5, -22, 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 3\/5, -707, -5, -0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 399 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 403*j - 52437. Give g(-90).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -753\/35 or -23?\nAnswer: -753\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from bppdpdbbbb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 18. What is b(17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 13. Let k be 1521\/65 - (-6)\/l. Calculate the greatest common factor of k and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.8, 8\/5, 2603, 1\/4 in increasing order.\nAnswer: -3.8, 1\/4, 8\/5, 2603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 972*i**4\/5 + 15660*i**3 - 35124*i**2\/5 - 2140*i - 648\/5 = 0.\nAnswer: -81, -1\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 3088103100611.8?\nAnswer: -3088103100610.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/7 - 88*b**3\/7 + 88*b**2 - 1472*b\/7 + 1152\/7 = 0.\nAnswer: 2, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4899.\nAnswer: 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-1680)*21*(-2)\/(-36).\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4*i + 44 - 4, -3*o + 63 = 5*i. Suppose o - 70 = -22*v. Solve v*z = -x - x - 4, -3*x = z + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.41 and -0.05725522.\nAnswer: 5.35274478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -348939 - -348919.00065. Let m = 13 - -7. Let u = m + k. Round u to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 36*w**2 + 35*w + 110. Let c be v(35). Sort 3, c, 5.\nAnswer: 3, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(165\/10))\/((-19)\/3)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -280 + 343. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 - -73. Let l(s) be the first derivative of 41*s**2 - 2. What is the tens digit of l(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/54327 and 61\/1194.\nAnswer: 108654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/((-16)\/(-5286)))\/(-6). Let x be 1 - (0 + 2) - 109. Let m = x + f. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 136*i**2 + 3*i - 205. Let w be p(68). Let r(k) = 28*k**3 - 2*k**2 - 2*k. Let s(d) = -d**2 - d. Give w*r(h) + 2*s(h).\nAnswer: -28*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from weewwwwwwewwwwwwww. What is prob of sequence ew?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3993 and 8899.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7 (b) 5\/2 (c) -3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 8*n + 24. Let x(l) = 385*l**2 + 6*l - 3. Let d be x(n). What is d rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let y(z) be the third derivative of 69*z**5\/20 - 8*z**2. What is y(b(g))?\nAnswer: 207*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvo when three letters picked without replacement from {o: 2, t: 1, v: 4, d: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (16 + -15)\/(2\/6). Let m be (b - -2)\/(6\/(-15) + 1). Solve u + m = 6*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5460*d**2 + 10920*d**2 - 5461*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -12*(6 - 4). Let h = r - 24. Solve h*b = -b - 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((702\/351)\/(((-6)\/(-4))\/3))\/22.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*k - 12 = 0, 2350*z = 2355*z - 3*k - 31. Solve 3\/2*q + 0 - 3\/2*q**z = 0 for q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9 = -0*c. Let h be -2 - c\/3*-7. Let j(f) = f**2 - 3*f - 4. Let a be j(4). Solve h*y - 2*y = a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 greater than -74\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2219 - -0.0781. What is the biggest value in -0.3, 1.5, x?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32178, 64363, 96552, 128745, 160942?\nAnswer: 193143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 11*j - 5. Let n(w) = 5*w - 2. Let g(s) = -h(s) + 2*n(s). Let m(z) = -4*z + 5. Suppose -5*f - 4 = q, -q = 2*q + 3*f - 12. What is q*g(i) - m(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58402982, -58403008, -58403034?\nAnswer: -58403060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 less than 1\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/84 - (-1 - (-30088)\/(-3)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12364118 - 2*q + 12364246 - 24728364.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011110 + -10011?\nAnswer: 11001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**4\/84 - b**3\/42 - 3*b**2\/7 - 3*b. Factor q(v).\nAnswer: (v - 3)*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 3*c. Suppose 0 = -2*q - 2*r + 140 - 8, 3*r = q - 70. Let h be (-7 - -3) + q - c. What is the highest common divisor of h and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*3\/9*-30. Let p be (-3)\/(-2)*r\/(-6). Let g be (-4)\/p*25\/(-45). What is the nearest to -1\/3 in 1, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*o**2 + 10*o**2 - 40*o**2 - 40*o**2 + 102*o**2.\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 7*y + 13. Let c be a(9). Let z(w) be the second derivative of w**5\/20 + w**4\/2 + 4*w**3\/3 + 2*w**2 + w. What is z(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)*d*(d*d**5*d)\/d)**(2\/5)*(d**(2\/7))**(17\/5)\/(d*d**3*(d**(-5)*d)\/d*d) assuming d is positive.\nAnswer: d**(632\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*m - m. Let q(l) = 11062*l**2 - 7*l + 2. Is q(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/5 + 26*p**4\/5 - 416*p**3\/5 - 88*p**2 = 0. Calculate p.\nAnswer: -22, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(17\/(-34))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from {k: 6, w: 2, n: 6, b: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w + 19338*w**2 - 19748*w**2 + 5*w as s*w**2 + f + k*w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2)\/((t*t*t**(-2))\/t*t))\/(t*t**(-1\/12)*t\/(t**8*t)) assuming t is positive.\nAnswer: t**(79\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3638\/118941 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 d when four letters picked without replacement from {t: 3, y: 2, d: 15}?\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 22. Which is the third smallest value? (a) t (b) -3 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16133 + -10841. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19990, 19985, 19978, 19969, 19958, 19945, 19930?\nAnswer: 19913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 254.789, 5, 1\/2 in ascending order.\nAnswer: 1\/2, 2, 5, 254.789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -49*i**4 - 168*i**3 - 120*i**2 - 32*i - 1. Factor g(m).\nAnswer: -4*(m + 2)*(7*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a4634 + 74?\nAnswer: 12a46a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2607*o**4 + 2176.\nAnswer: -10428*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0.4 (c) -82 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h + 46*h - 76*h - 9962 = 0. Calculate the remainder when h is divided by 72.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -163 + 163.000045. What is x rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 706867909*g**2 + 121*g + 452035 wrt g?\nAnswer: 1413735818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*r**2 + 7955*r\/3 - 8021\/3.\nAnswer: (r - 1)*(66*r + 8021)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 + 478*w - 51902 - 51901 + 103807 to the form u + q*w + m*w**2 and give q.\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-425229)\/14 - (5\/2 - 3). Let s = -3766293\/124 - r. Find the common denominator of 99\/14 and s.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 41 + 22 = h, 3*h = -4*c + 256. Calculate the remainder when c is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**5 + 156*z**4 - 78832*z**3 - 2623920*z**2 + 2702592*z = 0.\nAnswer: -144, -34, 0, 1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 3*p**2 - 2*p - 3. Let y be i(-3). Let x = 0 + y. Let v = -32243 + 32251. Solve -x*j + v = 23 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 50*g**2 + 342*g + 337. Give j(-56).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/24)\/((-2)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 111665, 223129, 334593, 446057, 557521?\n\"Answer: 111464*o + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 25680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1304 - 7*n - 1310 + 2570. List the prime factors of x(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-7 + 10) - (-1 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88 - 54. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.105 - 0.005. Let o = t + -7. Let m = o - -0.897. What is m rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -502413 + 502413.1900055. Let m = -0.19 + d. Round m to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a7 + -23bbbc?\nAnswer: -23c096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*m - 3*m. Factor 31970 + 3310 + 493*n + 6*n**2 - n**m - 1333*n.\nAnswer: 5*(n - 84)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1418576?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 15 = 51. Let l(p) = p**3 + 25*p**2 - 26*p + 12. What is the remainder when i is divided by l(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 - -19. What is the lowest common multiple of 16 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2820122*n**4 + 8299*n**2 - 112?\nAnswer: 67682928*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 2*s**2 - 2. Let x(f) = 3*f**3 - 5*f**2 + 3. Let u(z) = 5*c(z) + 3*x(z). Give u(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3*n - 549 + 549. Let f(h) = -18*h**2. Calculate p(f(c)).\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/(6\/(-45)). Let b = -25 + 41. Solve 0 = i*y - b - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/((-1100)\/475)*136\/17\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -82 - h**4 + 4*h**2 + 72 - 2*h**2 + (1 - 2*h**2 - 1)*(-1 + 1 - h)*(-39*h + 14*h - 35*h) in the form n + k*h + v*h**4 + m*h**3 + l*h**2 and give v.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 2*r + 2. Let i be o(-3). Let z(f) = -f**2 + 6*f - 7. What is z(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4*k - 2)*(-1 + 3 - 4)*(4*k - 4*k - k**2)*(0*k - 4*k - 2*k) to s*k + p*k**3 + a*k**2 + w*k**4 + y and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5304 and 663?\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*a + k + 10588, -5*a + k - 10592 = 0. Let x = -78118 - a. What is x rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 28 = -2*h, 0*h + 88 = 4*h - 4*c. Let f be (-1530)\/120*1*(-16)\/6. Let p = f - h. Solve -n + 5*n + p = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26\/5 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 18167*n + 9104*n + 8130*n - 2.\nAnswer: -933*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2763767.\nAnswer: 563, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16992, -17003, -17014, -17025?\n\"Answer: -11*y - 16981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 5:03 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131 - -188. Let w = h + -52. Put -37, w, -0.5 in decreasing order.\nAnswer: w, -0.5, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y + 1. Let o be s(-4). Suppose 2*i - 6*i - 5*a - 2 = 0, -o*a = 2*i + 6. Differentiate -5*q - 7*q + 3 + 0 + i*q with respect to q.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*w + 3*d - 19, 0 = 2*w + 3*d - 22. Solve 9 = -3*f, 2*t - 4 = w*f - f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 16732*u - 415800.\nAnswer: -4*(u + 25)*(u + 4158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(4\/(-16)) + -9503. Let b = c - -94971\/10. Calculate the common denominator of b and -53\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, m: 1, b: 1, n: 1, x: 1}. Give prob of sequence mbn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7010, 5, 756.\nAnswer: 5, 756, 7010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, -9\/7, 18\/371?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 4*y - 3. Suppose 0 = -75*l + 78*l + 5*r - 27, -5*r + 23 = 2*l. Suppose 9*v + 13 = 5*c + 5*v, -c + l*v - 7 = 0. Calculate b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6806837, -6806824, -6806817, -6806816, -6806821, -6806832?\nAnswer: -6806849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18277*p**3 - 4752*p**3 - 3037*p**3 - 17451*p**3.\nAnswer: -43517*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3522*z + 0 - 3526*z + 0. Suppose 28*t - 23*t = -10. Determine b(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -8*w + 1. Let m = 5 + 1. Calculate the remainder when l(-2) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29100)\/(-485) + 2*-48.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4986.88 take away 7123175?\nAnswer: -7118188.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6705 is divided by 4924?\nAnswer: 1781","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 73.03*-0.1\nAnswer: -7.303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let p be (2 + g)\/(-2 - -3). Suppose 2*l - 2 = -p. Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 19*u - 11. Let n(p) be the first derivative of p**4\/4 - 16*p**3\/3 - 9*p**2 + 13*p + 6. Let g be n(17). Let d(x) = 9*x - 5. Calculate g*i(a) + 9*d(a).\nAnswer: 5*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 81505.67l in millilitres?\nAnswer: 81505670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-12 - -1159) + 26\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 9:13 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(28) + 5 - sqrt(7)) - (-2*sqrt(63))**2 - ((sqrt(7) - (4 + sqrt(28))) + 0).\nAnswer: -253 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11 - 1034*p as u*p + r and give u.\nAnswer: -1034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2. Let m(f) be the first derivative of 4\/3*f**3 - 12 + 0*f**2 + 0*f. What is m(s) + 2*r(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*x - 10, -3*x - x = 5*i + 31 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -y + 11, 2*y = v + 5*y - 7. Suppose 11 + v = 2*f. What is the remainder when 70 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 123244?\nAnswer: -123303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/5)*x\/(x*x**(1\/8)*x)*(x*x**0)\/x**(-5) assuming x is positive.\nAnswer: x**(187\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 + 6*q**2 + 24*q + 156. Calculate o(-4).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 1402 = -46*r + 1422, 4*z = 5*r - 80 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.5422879 micrometers?\nAnswer: 0.0000005422879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 6*b - 40. Suppose 0 = 4*x + j + 12, 0*x + 2*x + b*j + 6 = 0. Put 5, x, -0.4 in descending order.\nAnswer: 5, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -392*o + 10499. What is r(19)?\nAnswer: 3051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -152268 at most -152268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109 + -25. What is the highest common divisor of j and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 11*k**2 - 7.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-476)\/3094)\/((-3)\/13)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181264245 to the nearest integer?\nAnswer: 13463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5 = 194. Is (84\/l)\/(4\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0049 and 46?\nAnswer: -0.2254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4825*q**4 - 2412 wrt q.\nAnswer: -19300*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1620154nm in meters?\nAnswer: 0.0000000001620154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -0.5458.\nAnswer: 0.4458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p = 45. Suppose 0*i + i + 3 = 0. Let q(j) = -j**3 - 2*j**2 + 3*j. Let r be q(-3). Put p, r, i in descending order.\nAnswer: p, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 21.2. Let h = -20.1 - y. What is the nearest to h in 5, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**3\/3 - 5*v**2 + 332*v. Calculate r(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388839 + 686170 = 264*h - 910535. What is the greatest common divisor of h and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**2 + 3*k - 5. Let w(q) = 6*q**2 + 4*q - 6. Suppose 0 = 5*o - 55*f + 57*f - 12, -4*f - 2 = -3*o. Determine o*w(z) - 3*n(z).\nAnswer: -3*z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 946 - 942. Solve z + 6 = g, g + z + o*z = -6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + 2*p + 11*p as a*p + g and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*c*m*t**2 + 26*c*m + 3162*c*t + 2*c - 1604*m*t**2 + 6*m*t + 10*t**3 - 3 wrt t.\nAnswer: 46*c*m - 3208*m + 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 5:30 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175)\/35*(-56)\/(-70).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156 + -156.224. Let f = j + 4.224. Which is the nearest to -1\/2? (a) f (b) -1\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54051 + 3453?\nAnswer: 101544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frfoootroshso. What is prob of picking 1 o and 1 t?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20153 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180251001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -72\/11 + 958\/143. Is m not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 + 3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Let z be -2 + (2 - 2) + 4 - -50. Suppose 94 = b*i - z. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -211*m + 120*m = 74*m - 3741 - 6489 for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 731272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -14. Suppose g - 5*f - 25 = 4, -h*g + 3 = f. Let t(c) be the third derivative of c**5\/60 - c**4\/4 + c**3 - 2*c**2. What is t(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 57 - 1 = -2*r, -r - 16 = 2*b. Let k be ((-64)\/b)\/4*(-15)\/(-6). Let w(v) = -9*v + 6. Let a(h) = 3*h - 2. Determine k*w(t) + 11*a(t).\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -164, -305, -464, -647, -860, -1109, -1400?\n\"Answer: -r**3 - 3*r**2 - 125*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6822 or 61388\/9?\nAnswer: 61388\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (i - i - i + (i - i + i)*(-4 + 3 + 0) - 6 + 6 + 3*i)*(4*i - i - 2*i)*(63 - 35 + 37) in the form u + g*i**2 + k*i and give g.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + (5 + 1 + sqrt(325) - sqrt(325))**2*-6)*2 + -3.\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Put -80, -15, 2, 4 in ascending order.\nAnswer: -80, -15, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62359 is divided by 1779?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7926231.1 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2\/(-20) + 127 + (-2240152)\/17655\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.13928153 to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 9*o - 26. List the prime factors of j(-13).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123 + 3?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + -0.42. Let m = -1.8 - -3. Let d = 0.2 - m. Which is the third biggest value? (a) v (b) d (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b**6\/360 + b**5\/60 + 7*b**4\/24 + b**3 + 3. Let q(d) be the third derivative of o(d). What is q(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1416785 and 280.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -190, -1, -403, -4, -3 in increasing order.\nAnswer: -403, -190, -4, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15165222 to the power of 1\/2, to the nearest integer?\nAnswer: 3894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4064 = 179*x + 842 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/((-54)\/3)*42)\/(-11).\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59231 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/16461 - -5497\/164610. Let v(h) be the third derivative of -k*h**4 + 0*h - 1\/50*h**6 + 0 + 0*h**3 - 1\/25*h**5 - 2\/525*h**7 + 39*h**2. Factor v(p).\nAnswer: -4*p*(p + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 - 2*i**3 + 64287 + 3*i - 64290 + 16*i**2 + 0*i**3 + 5*i**3 to the form d*i**3 + o + n*i**2 + c*i and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1937 - -2133. List the prime factors of z.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l)**(-15\/8)*l*l**6*l*l**1)\/((l**0)**(-10)*l**(-5)*l**(1\/7)) assuming l is positive.\nAnswer: l**(283\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/7 - 6124*n**2\/7 - 36682*n\/7 - 30560\/7 = 0. Calculate n.\nAnswer: -3056, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36795880 rounded to the nearest ten thousand?\nAnswer: 36800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3160 is divided by 1042?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**3\/3 - 13*y**2\/2 + 31*y + 102. Let j be x(5). Which is smaller: j or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18915*c**2 - 37824*c**2 + 18914*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -780 (b) -4 (c) 2\/5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(4*a**3 - 3*a**3 + 2*a**3)*(-3503*a**2 + 6987*a**2 - 3509*a**2 + 115).\nAnswer: -75*a**5 + 345*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k - 22. Let q be o(-11). Suppose -2*s + 5*s + 60 = q. Let x be 10\/s - 14\/(-4). Which is the third biggest value? (a) x (b) 0.2 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 15, u: 4}. Give prob of picking 1 r and 3 u.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2665650 - -53293627\/20. Let w = 967 + g. Calculate the common denominator of w and -83\/75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.00215427.\nAnswer: 0.00430854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 9*s**2 - 6*s - 25. Let c be z(8). Suppose 43 = 18*g + 7. Put c, 1, g, -5 in decreasing order.\nAnswer: g, 1, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1327215 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3\/4, -6\/25, 14, -0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -369*k - 372*k - 367*k + 1468*k - 362*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6690\/271 < 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10833 and 805?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3796 divided by 1693.\nAnswer: -3796\/1693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -199 divided by 558\nAnswer: -199\/558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 19*k - 48. Let y be (0 + 1 + -6)*-1. Which is the fourth biggest value? (a) -4 (b) y (c) k (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.2075174 + -4.2162. What is s rounded to four decimal places?\nAnswer: -0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n - 3 = 0. Let o be -120410 + n - 1*2. Let c = -71415 - o. What is c rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in -2\/3, -6, -1131, -19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 - -7.7. Let l = 0.1 + -0.04. Let d = h - l. Round d to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 1.3 (c) 2\/73 (d) 1\/2 (e) 4 (f) -14 (g) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.99397 to 2 dps.\nAnswer: -3.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10372738, 20745474, 31118210, 41490946?\n\"Answer: 10372736*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 363*a + 1454. Let q be i(-4). Calculate the greatest common factor of 1522 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 545 + -40281?\nAnswer: -3a837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33063 and 1236.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 12*i + 19. Give l(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) 31 (c) 0.4 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/(-10)*-133 - (-1)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 0, o + 525 = 6*o + 5*z. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69 - -71. Suppose -2*z = p + 6, -3*z - 2*p - m = 6. Put z, -3, -2, -1 in decreasing order.\nAnswer: -1, -2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1730 and 480.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d**2 - 2*d**2 - 579*d**3 - 3*d**2.\nAnswer: -579*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000883 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12502491 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxjj when four letters picked without replacement from uuddjupjxpxuuduj?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3290.8 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 minutes before 7:31 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-15)*3\/1. Sort 1, c, -2 in descending order.\nAnswer: 1, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4\/8*4\/39.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 2*j + 2. Let t(m) = -4*m**2 - 9*m - 9. Let v(p) = -4*t(p) - 18*y(p). Let o(i) be the first derivative of 4*i**3\/3 - 1. Calculate o(v(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**4 - g**2 + 2*g**4 - 5*g**4 wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45\/2 + -22. Let r = 479 - 479.3. Put w, 3, r, -0.2 in ascending order.\nAnswer: r, -0.2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -b, 3*p + 11 = 2*p + b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 h when three letters picked without replacement from {q: 6, h: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 4 + 3 + (-6)\/1. Put 1, -0.2, 0.03, o in descending order.\nAnswer: 1, 0.03, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*k, -w + 2*k - 45 = 2*w. Let h be 10*-2 + 6\/(-2). Let c = -41 - h. Is c not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 148\/(-4) - 3\/3. Let w = k - -301\/8. Is w at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**5\/90 - h**4\/54 - 4*h**3\/27 + 4*h**2\/9 - 7*h. Factor y(o).\nAnswer: 2*(o - 2)*(o - 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2660 and 810958?\nAnswer: 56767060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/8, 2827.79?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50195, 50196, 50197, 50198?\nAnswer: 50199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-324)\/216 + (-3418)\/(-4). Suppose 4*n - 124 = -3*h + 516, 4*h + 5*n - y = 0. What is the nearest to 1 in -0.4, h, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqheh. What is prob of sequence qhh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -2983858?\nAnswer: 89515.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14487.9 - -14488. What is the nearest to -27 in -0.076, 2\/7, m?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 12*f = -7. Put 0, 4, f, 9 in increasing order.\nAnswer: f, 0, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -0*z + 396. Suppose 2*l = 3*o - 99, z = 2*o + 3*l + l. Let j = o + 14. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 6*k**2 - 23*k + 30. Is 76 a factor of b(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5 - 9. Is 8\/11 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (23908\/(-5))\/(((-308)\/(-35))\/(-22))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxuxuuxxxxx. What is prob of sequence uuux?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/438306 and -45\/73051.\nAnswer: 438306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3202 (base 7) to base 4.\nAnswer: -101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45149554 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2160117 to the nearest integer?\nAnswer: 1470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:31 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 108, -4, -10, 20.\nAnswer: -10, -4, 20, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 9*q = 21. Suppose l - 5 = -2*z, 4*l + l + q = -2*z. Solve h + x - 11 = 5*x, -40 = z*h + 5*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-1 + (-21)\/2). Let v = u + -30. Calculate the remainder when 47 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.365 - -7.365. Let m = 0 + 0.1. Let z be (-4)\/3 - 1*-2. Which is the closest to m? (a) i (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1479 and 6.\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:50 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (0 + 2)) + (-39 - -31 - -16) + 21.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, -248, -926, -2218, -4322?\n\"Answer: -33*f**3 - 10*f**2 - f + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m - 233 - 313 = -24 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:25 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**(-14)*p\/(p\/(p**(2\/13)\/p)))\/(p**(-2\/11)*p**(-12)*p) assuming p is positive.\nAnswer: p**(3909\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -3 - 4 - -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**5\/140 + 39*p**4\/28 - 225*p**3\/14 - 2351*p**2. Solve k(g) = 0 for g.\nAnswer: 3, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 466, 313, 106, -179, -566, -1079, -1742?\nAnswer: -2579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134 - 146 = 4*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 580 a factor of 3326880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -39.2. Let x = 6.8 + i. Which is the nearest to x? (a) -4 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 20. Let a(y) = -2*y - 8. Let x be a(-5). Calculate the remainder when k(0) is divided by (-174)\/(-24) - x\/8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243863 to the power of 1\/2, to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 750866795 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000468411 to six decimal places.\nAnswer: -0.000468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 21 = -f, -2*f - v + 3 = -11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -0.211?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6870931 - -4.\nAnswer: -6870927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 60 = -6*w. Solve h - 2*u = 2*h + 1, -3*h + 3*u + w = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -167?\nAnswer: 83.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of 4\/3*z**3 + 0 - 29\/2*z**2 - 7*z. Let t be g(4). Sort t, -2, 0.2 in decreasing order.\nAnswer: t, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46197, 46222, 46245, 46266, 46285, 46302, 46317?\n\"Answer: -x**2 + 28*x + 46170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208961454.\nAnswer: 2, 3, 13, 2678993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/(-10) - 120\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20741296.\nAnswer: 2, 1296331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -2*d**3\/27 - 4*d**2\/9 - 2*d\/3 - 32. Let g(a) = 0. Calculate a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24\/17, -2.13, 2\/7, 3, 8 in ascending order.\nAnswer: -3, -2.13, 2\/7, 24\/17, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1480938)\/(-90) - (-10)\/75. Let x = 28652 - u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*m = -12. Calculate the smallest common multiple of 11 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11222161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -0.01 (c) -0.3 (d) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 13*l + 5 - 10*l - 2*l as a + r*l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-21))\/((-1160)\/10150).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-26)*(-3)\/6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*c - p, c - 7*p = -8*p + 4. Let g be (-1)\/4 + 26\/8 + c. Suppose -g*n + n = 5*n. Solve f - 2*o + 2 = n, f + 2 = -4*o + 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 1.2. Let r(u) = u**2 - u - 2. Let n be r(2). Let z(m) = m**3 - 4. Let d be z(n). Which is the second smallest value? (a) d (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.2 (b) -3 (c) 19 (d) 427\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38539497 to the power of 1\/2, to the nearest integer?\nAnswer: 6208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 23 - 4309*v + 8622*v + 9*v**2 - 4313*v.\nAnswer: 9*v**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 2*z - 5\/2*z**2 + 0 - 1\/3*z**3. What is the units digit of o(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - -5)\/2*7\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37635.07 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 7*w**2 - 6*w - 2. Let g be y(6). Let t = 3 + g. Calculate the least common multiple of 2\/(-8) - 13\/(-4) and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 227*y = 1738 + 2575 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11732626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 30*d**2 + 121*d + 3423. What is the tens digit of b(-47)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2. Let p(g) = g**2. Let a(y) = -3*y**2. Suppose 8*l = 47 + 1. Let f(k) = l*p(k) + a(k). Calculate w(f(v)).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4532666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 + 10*a\/13 + 12\/13.\nAnswer: -2*(a - 6)*(a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 19*k - 2 - 9*k as t*k + h and give t.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964566684?\nAnswer: 2, 3, 593, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 3*k**2 + 0*k + 0 - 1\/12*k**4 - 1\/2*k**3. Let f(r) = 6*r + 8. Let x(j) = -8*b(j) - 3*f(j). Let q(c) = 2*c. Determine x(q(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven eighths of a day?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 16 = -19*t. Let i = 0.4 - 0.4. What is the second biggest value in i, -4, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11088591 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**18*o\/o**(2\/9)*(o**(11\/5))**7)**(-29) assuming o is positive.\nAnswer: o**(-45907\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 0. Suppose 5*p - 8 = z. Suppose 0 = -s - 4*d + 83, 5*s + p*d = 237 + 106. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1015411 (base 7) to base 15\nAnswer: 26214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 28598 - 28598 - 2761*s as c + z*s and give z.\nAnswer: -2761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 5122661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = 5*g - 1266. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 6*k - 12, 5*i + 15*k + 22*k - 32*k - 73 = -38 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 3*r**2 + 4*r - 2. Let k be j(2). Put 0.5, k, 4\/7 in descending order.\nAnswer: k, 4\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j + 4*v = 214, -4*v - 464 = -4*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -28. What is the smallest common multiple of r and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113438170 divided by -28310?\nAnswer: 4007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13846601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 at least as big as -76494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus -3630.44?\nAnswer: 3630.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2361 + -2351. Solve 1 = 2*g - 3*r, -k*g - 4 = -8*g + 2*r for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 88 - 452 = 21*l for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 179d - 2cc?\nAnswer: 14c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-679)\/(-7)*(-3)\/(-2 - 1). Let z = 777\/8 - k. Solve 1\/8*o + z*o**2 + 0 = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = -5*a + 83, -2*s - 13 = -a. Calculate the remainder when 31 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (70\/(-42))\/(0 - 3\/63). Calculate the greatest common divisor of 1085 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5817, 11632, 17447, 23262, 29077?\nAnswer: 34892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2. Suppose 29*a = 24*a + 145. Let u(i) = -27 + 67 + i**2 - 14 - a. Calculate u(f(m)).\nAnswer: 9*m**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19685654 is divided by 19685577.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -14. Calculate the lowest common multiple of ((-95)\/(-1))\/(130\/52) and b.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 292, 1148, 2572, 4564, 7124, 10252, 13948?\n\"Answer: 284*s**2 + 4*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21887961919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msttvmzhv. What is prob of sequence mht?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624, -625, -626, -627, -628, -629?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*i**5 - 689*i**3 + 12*i - 37088 wrt i?\nAnswer: -1640*i**3 - 4134*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, x: 10}. Give prob of picking 2 p.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2972690381 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 v when four letters picked without replacement from {v: 10, c: 2}.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23, 8, -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232271448505 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.160418 * 2\nAnswer: 2.320836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 8*k**2 + 4*k - 8. Suppose y - 3*v - 8 = -y, -y - 4*v + 4 = 0. Is 9 a factor of s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 55 = -2*x - 46, 0 = -4*x - 3*n + 17 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 plus -563?\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3722695*x - 655266.\nAnswer: 3722695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139 + 277. Find the third derivative of 2 - 1625*l**4 + 3254*l**4 - 1629*l**4 + 80*l**2 + b*l**6 wrt l.\nAnswer: 16560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/35)\/((-3)\/7)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*p = 9 + 56, -5*o = -5*p - 75. Let m be (-1 + o)\/((-4)\/(-3)). Let d = 14 - m. What is the closest to 2 in -4, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 2100 = 2*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -615.\nAnswer: 18.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/30*-1 + (-4302)\/180. Let s be 177\/(-15) + d\/(-30). Sort 2, s, -2 in ascending order.\nAnswer: s, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1221.9041976 from -69.977.\nAnswer: 1151.9271976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 8:53 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from mommbekebez.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/3*(-10404)\/12716?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, i: 7}. Give prob of sequence iip.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(243) - sqrt(243)) + (3 + -1 + sqrt(243))**2.\nAnswer: 9*sqrt(3) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4579409537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.076 - -0.376. Let x = 3.92 + 0.08. Which is the third smallest value? (a) r (b) 1\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.9 + 15. What is the closest to z in -1, 5, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.08 (b) 5 (c) 21\/26 (d) 0.4 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 587986\nAnswer: 1175972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 24 + 4*x**2 - 3*x**2 - 5*x - 43 + 28. Let v be g(2). Solve -1 = -o - v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.881 + 85.181. Let j = -57.108 + p. Let k = j - 27. Round k to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22.085 + 0.385. Let p = -20.7 - d. Let k = 0.06 - 4.06. Which is the closest to p? (a) k (b) -0.4 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*u - 1006 + 5 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27 + 6*(-20)\/(-24). Suppose -2*r = n*r - 4998. Calculate the highest common factor of r and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 292483859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39243 is divided by 147?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + u. Let x = 13 - 11. Suppose -h = x*h - 33. Let q(m) = 0*m**2 + 5*m**2 - 4*m**2 - m**3 + 10*m + 1 - h*m. Give -b(v) - q(v).\nAnswer: v**3 - 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4810, 6035, 7270, 8521, 9794, 11095, 12430?\n\"Answer: w**3 - w**2 + 1221*w + 3589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/17, -1313, -3\/4.\nAnswer: -1313, -3\/4, 2\/17, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92410420 divided by -7.\nAnswer: -92410420\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(0 - -1) + 48. Is (-274)\/(-10) - 20\/w a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 3*n**2 - 2*n + 1. Let q(w) = -w + 13. Let b be q(9). Let u = -16 + b. Let z be (-8 - u) + -1 + 0. What is g(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142278238 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 1320*o**2 + 633645*o + 632320.\nAnswer: -5*(o - 512)*(o + 1)*(o + 247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19378 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)\/(-6))\/(2288\/(-1001))*4?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.244057 minus 0.26?\nAnswer: -0.504057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 7*y + 4. Let z be k(7). Suppose 18 = z*p - 42. Let t be ((-3)\/5)\/((-1)\/p). Solve -2*l - 1 = -t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 10*i - 10. What is a(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.2, 2\/1093, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let d be (-2)\/(14\/(-2 + 0)). Suppose -t = f - 6*t + 23, 5*f + 5*t = 35. Sort f, r, d in descending order.\nAnswer: f, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*n + 3*n - 7 = 0, 35 = -5*a - 2*n. Let i(f) = -f**3 - 8*f**2 + 8*f - 4. Let x be i(a). Solve 3*j = -x*m - 30, m + 4 = 2*j + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**5 + 222*h**4 - 3594*h**3 + 19656*h**2 - 29403*h + 13122 = 0. What is h?\nAnswer: 1, 9, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -318, -473, -626, -777, -926, -1073?\nAnswer: -1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 19, -4, -3 in increasing order.\nAnswer: -4, -3, 0, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.5 - 13.5. Let w = b - -13.5. Let f = w + -2.500011. Round f to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1933564?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 19*l**2 + 4*l. Let g be (3\/2)\/(8\/16). Let d(u) = 19*u**2 + 4*u. Let s(q) = g*x(q) - 4*d(q). Find the second derivative of s(t) wrt t.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47211, -94422, -141633?\nAnswer: -188844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 560 + -555. Suppose 0 = g + 2*s - 1421, -8*s + 7084 = b*g - 5*s. List the prime factors of g.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*j*t**2 + j*t + 3*j + 12 wrt t?\nAnswer: 18*j*t + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 7*f**2 - f + 5. Let j(i) = -i**3 - 19*i**2 + i + 26. Let b be j(-19). Give r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/68 and -89\/440?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 548*l**2 + 423*l - 33566. Determine z(-273).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 2712\/2411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (1 + -3 - 1). Is (u - (-8)\/2) + 87 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*c - 1. Let w(i) = -6*i**3 - 2*i**2 - i. Let q be w(c). Let y = 2 - 6. What is the closest to 0.1 in q, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*k + 4 - 4)*(-2 + 2 + 2) + 1 - 1 + 2*k)*(371*k**2 - 3 - 199*k**2 - 188*k**2).\nAnswer: -96*k**3 - 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + sqrt(931)*1 + -4 + 4)**2.\nAnswer: 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*z + 25. Suppose -z*m + 4*j + j = -25, 2*j + 10 = 5*m. Suppose m = -2*h + 3 + 7. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, b: 3}. What is prob of picking 2 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 32, 99, 208, 365, 576?\n\"Answer: w**3 + 15*w**2 + 15*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 26823*z + 4395774 = 0 for z.\nAnswer: 167, 8774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 68 = -2*x - 18, 4*x - 22 = -2*i. Suppose -4*o + 52 = 4*g, 5*g = o + i + 46. Calculate the remainder when 35 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by -3?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20364649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let z(i) = 2*i + 1. What is 7*j(o) - 3*z(o)?\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - h = 3*h + 177, 0 = -q + h + 162. Suppose -53 = 3*d + q. What are the prime factors of ((-14)\/(-35))\/((-1)\/d)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 934875863 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5))**(-12)\/(v**(-12)*v**(3\/19)*v) assuming v is positive.\nAnswer: v**(1258\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 2*l**2 - 14*l + 17. Let k be s(4). Suppose -m + 313 = 3*r + 3*m, -4*m + 206 = k*r. What are the prime factors of r?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/15)\/(6\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*d + 10 = -42, -4*d + 84 = 4*y. Suppose y + 63 = 5*f. Suppose -31 = 5*m - 911. Calculate the greatest common factor of m and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - -3. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -5*c**4\/12 + c**3\/2 + c**2 - c. Suppose -63*x + 4*y = -66*x - 10, x - 1 = 3*y. Determine s(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 3:33 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.37 + 0.37. Let x = i + 41.00000038. Round x to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115441 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-294)\/(-28) + (-6)\/12. Solve -7*p + v*p = 9, z = 2*p - 1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12049362059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**2 - 59*t + 46. Let r be d(14). Solve 18*h = r*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k**2 + 7*k + 6. Suppose 4*a - 5*v - 60 = 0, 0 = 3*v - 1146 + 1170. What is l(a)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1125 - -781. What is the greatest common divisor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/24 and 53\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 119*g + 120. Give b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 229*k**3 - 10*k - 9322 wrt k.\nAnswer: 687*k**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + -17 - (4 - (22 + 9)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3 = -5*y, -2*y + 2 = -2*u - 0. Let v(f) = f**2 + 3*f - 9. Let p be v(u). Let a(z) = -z**2 - 4*z + 7. Determine a(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -1e2c15?\nAnswer: 1e2c11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 1065376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95 - 2827*m**2 - 95 + 189 to the form c*m**2 + b + q*m and give c.\nAnswer: -2827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1923 - -1928. Suppose -2*d + 4 = 2*k, -d = 4*k - 3 + 10. What is the smallest common multiple of d and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 102, -15, 5 in descending order.\nAnswer: 102, 5, 3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 85\/10 + 13\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 6*g - 4*g + 22, 0 = 3*d + g + 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 9:39 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67538313383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -562928726 + 562928728.99999989. Let l = -3 + s. Round l to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122292 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 109 - 108.9. Let v = -8 + 13. What is the biggest value in -4, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.910652 minutes?\nAnswer: 0.0318442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b = -4*b - 210. Solve b*k - 5*o = 7*k + 12, -k + 4 = o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let t(s) = 2*s + 2. Let i(w) = -j(w) + t(w). What is the first derivative of i(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.7063, -0.4, 0.06, 1791?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/484*-24*33\/18*9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*k = -u - 103, -3*u + 2*k = 68. Let s = -24 - u. Solve -s*v = 6 + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*k + 116*k = -39 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-615)*(-5)\/(15\/18)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12547 + 12552. What is the smallest value in -0.7, 14\/3, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-31))\/6*22*65\/(-5720).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 1. Let p be (s - 3*-1) + 0. What is the units digit of 15\/2 + (-1)\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**4 + 16740*x**2 - 15356.\nAnswer: 4*x**3 + 33480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 - 35\/5)*(-45375 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1717, 3696, 5631, 7522, 9369, 11172?\nAnswer: 12931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*n**5 - 7725*n**4 - 113285*n**3 + 257550*n**2 = 0. Calculate n.\nAnswer: -1515\/2, -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = -22*z + 26*z. Suppose 4*w - z = -v, w + 2*v + 2*v + 4 = 0. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-20 - -24 - (4 - -44)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631 (base 9) in base 13?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 153980430*l\/7.\nAnswer: -2*l*(l - 76990215)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 0. Let u be (-172)\/(-36) + l\/(-9). Let y = 12 - u. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 67*r + 1264. Determine j(23).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 3a2101?\nAnswer: -3a2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 24 - (0 + -18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**3\/3 + 5*w**2\/2 + 1. Let j(n) = -n**3 + 3*n**2 + 2*n + 3. Let o be j(4). Let r(z) = z**2 + 4*z. Give o*r(c) + 4*h(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/1)\/(3\/3). Suppose t*k - 4*k = -112. Let f(u) = -u**3 + 10*u**2 + 3*u - 1. Calculate the remainder when k is divided by f(10).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 m when four letters picked without replacement from {m: 2, f: 4, q: 1, a: 2, z: 3}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccjcnacnc. What is prob of picking 1 n and 1 c?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701338949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60.02 + 59. Let b = 142.92 - 147. Let i = b + k. Round i to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 - 22*c - 89. Give o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*g - 12 = 0. Suppose -o - 4 = -3*f, -4*o + g*f + 2 = -0*f. Solve o*s + 3*s = 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (158*z**2 - 28 - 159*z**2 + 9)*((-2*z - 2 + 2)*(-2*z + 5*z - z) - z**2 + z**2 + 2*z**2) in the form k*z + a + q*z**4 + h*z**2 + p*z**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000022071 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2\/5 + 1756*a\/5 = 0.\nAnswer: 0, 878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = -d + 23*j + 43719, 2*d = -5*j + 87402. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 (base 6) in base 13?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/738 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 1097*g - 17 - 8 - 14 + 46)*(21*g - g + 41*g) as c*g**2 + d*g + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/((n\/(n\/(n\/(n*n\/(n*n**(-6\/17)*n)))))\/n*n)*n*n)**(15\/7)*(n**(6\/11)*n*n)**(-20) assuming n is positive.\nAnswer: n**(-54430\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-30) + 1\/(-5). Let f = -587.3 + 586.3. Which is the fourth biggest value? (a) z (b) -1\/56 (c) -4 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r + r - r**3 - r**2 - 2*r + 3*r**2 to the form q + n*r + h*r**2 + y*r**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.142 + 22.6. Let k = w - -0.45. Round k to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 26*d**2 + 6*d + 3. Let p(y) = -2*y + 14. Let g be 9 - (-4 - (3 + -7)). Let q be p(g). Is s(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757*q**2 - 1110*q - 380*q**2 + 2223*q - 386*q**2 - 1114*q.\nAnswer: -9*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.9 - -11.6. Let w = -145 - -437\/3. What is the closest to y in -4, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 18*t + 3. What is o(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-4)*((-14)\/(-30) - 1).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 15 = -9 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-5) - -13)*128. Let j = q + -625. List the prime factors of j.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1900) - ((sqrt(1900) - ((sqrt(1900) - 3*sqrt(1900)) + sqrt(1900) + sqrt(1900))) + 2) - sqrt(1900))**2*-6 + 3.\nAnswer: -11420 - 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 32*f**3 + 40*f**2 + 32*f - 36.\nAnswer: -4*(f - 1)**2*(f + 1)*(f + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 742290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26703050 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12.752729662 + 67052\nAnswer: 67064.752729662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 45 = -2*j - 3*i, -j + 5*i = -31. Suppose -q + j + 5 = 0. What is the least common multiple of 8 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -7, -52 in ascending order.\nAnswer: -52, -7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + sqrt(252) + (-2*(0 + sqrt(252)))**2 + -1.\nAnswer: 6*sqrt(7) + 999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 p, and 1 u when four letters picked without replacement from mmiuuxmmupummmmpummu?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + -54. Let b = m + 67. Let n(d) = -d**3 + 2*d. Let h be n(2). Put h, b, -1 in ascending order.\nAnswer: h, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 4250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkirmrrmmm. What is prob of picking 1 m and 2 r?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12126 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 6*t + 19. Let z be n(8). Let j(v) = 5*v**2 - 1 + 76*v - 77*v + z*v**2. Determine j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + 0.11. Let q be (406\/(-2030))\/(2 - 69\/45). What is the nearest to 2\/5 in q, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-345)\/(-24) - 17)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/24*17\/5)\/(47*(-29)\/(-5452))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 61?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-12))\/(28\/84)*(5 + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12574304807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 9:43 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 11, -3.73, -0.18, 1\/17, -2?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 6. What is the remainder when ((-18)\/(-2))\/(5\/5) is divided by x(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -56580807, -113161612, -169742417?\n\"Answer: -56580805*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i**2. Let l(h) = -h**3 - 6*h**2 + 6*h - 5. Let v be l(-7). Suppose -4*x = -2 - v. What is the tens digit of f(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r. Let s(h) = 2*h - 7. Determine z(s(f)).\nAnswer: 6*f - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474343?\nAnswer: 13, 19, 47, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -67, -55, -43, -31?\n\"Answer: 12*x - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33027515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*x - 5, -3*x - 5*z + 20 = 2*x. Let a = 162 + -215. What are the prime factors of (x + 1)*a\/(-2)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d - 2. Let x(t) = -5*t - 1. Give 5*a(y) - 8*x(y).\nAnswer: 5*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 3.7503 and -8\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749911?\nAnswer: 19, 29, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33 + 61.\nAnswer: 61.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 - 6 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1776 divided by -888?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 9. Let x be y(5). Let z = -314303\/3 + 104768. Let -4\/3 - d - z*d**x + d**3 + 5\/3*d**2 = 0. Calculate d.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8423 divided by -1\nAnswer: -8423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sjssi.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvlwhkkl. Give prob of picking 1 v and 1 k.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*a*q*t**2 - 3*a*t**2 - 60*q*t**2 with respect to a.\nAnswer: -14*q*t**2 - 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19912*a**4*c - 54*a*c - 325047*c - 100 wrt a?\nAnswer: 79648*a**3*c - 54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2 + 21300*f - 22684500 = 0 for f.\nAnswer: 2130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 9, -383, -1, 0, -2, 29 in increasing order.\nAnswer: -383, -11, -2, -1, 0, 9, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.148 - 1.049. Let k = -74.9 - -74. Let b = k - p. Round b to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6956 = 4*h - 6*k - 14966, 3*h - k = 16459. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -801872.02 to the nearest 100.\nAnswer: -801900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose -5*i + 75 = -j*i. What is the greatest common factor of i and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -1\/4, 0, 1\/5, -1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3 - 57. Let h = q - -33. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 826 is divided by 44?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 16 = y, 3*y - z + 12 = 4*y. Suppose 2 = -p + y. What is the remainder when (39\/1)\/(1 + 0) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10469 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iodiiipiidp. Give prob of picking 2 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -138*s**4*x - 64067*s**3*x**2 - 10417*s**2*x**2 + 2*s**2*x - 22*s*x**2 - 7*x**2 wrt s.\nAnswer: -3312*s*x - 384402*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 7*s. Let c = 47376 - 47371. What is the least common multiple of r(9) and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 5. Let w be v(-8). Suppose 6*m - w - 9 = 0. Which is the nearest to m? (a) -3 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-18)*3\/2. What is the third biggest value in -1\/4, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - -216.2.\nAnswer: 217.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65\/8 + 1349\/168. Let j = 65.3 - 65.3. Which is bigger: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*z - 94*z - 15*z)*(4*z**2 + 2*z**2 - 3*z**2)*(z**2 - z**2 + 2*z**2).\nAnswer: -564*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-15) - 16\/(-6). Suppose 12 = 12*t - 12. Solve -12 = s*g + 2*i, 10 = -3*g - i - t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-390)\/(-468)*(-8)\/130\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1036?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 6*d - 6*d)*(-2 + 1 - 2)*(4*d + 0*d - 3*d).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 474.9 - 471.9. Let d = 5.82 + -6. Let b = 0.02 - d. What is the closest to -2 in 5, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22939 to the power of 1\/2, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -870 and -8069?\nAnswer: 7020030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 1 + 1 + (-3 + 3 + 2*u)*(2 - 5 + 1) - 152*u + 23*u + 81*u)*(-3*u + 2*u + 0*u).\nAnswer: 53*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 19. Suppose 15 = 5*o + d + d, -2*o - 23 = -5*d. Suppose -5*u + 51 = o. Calculate the least common multiple of i and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + 3)*(54\/(-21))\/(-3). Suppose -1443 = -p*l + 1191. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1. Let s(y) = 1 + 3*y + 0 + 0 - 2. Suppose 96 = 11*v - 14. Suppose -v = -t - 0*u + 2*u, -26 = -3*t + 5*u. Determine t*n(m) + s(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*j**2 + 175*j**2 - 14*j**2 - 60*j**2 - 56*j**2.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - -1) + (-2 - 0). Suppose -2*y + 7*y + 35 = 4*n, v*n - 10 = -5*y. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -76.558 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 176*g + 22. Let j be k(6). Suppose 0 = 2*r - 9*r + j. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373130.\nAnswer: 2, 5, 37313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10072.\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -6619.\nAnswer: -4\/6619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 12*m. Let p = 26 + -38. Let d be z(p). Let t be 1\/2 + 6\/4. Which is greater: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4474727894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(50)\/(sqrt(20)\/sqrt(4))*-3)\/(-1*(sqrt(2) + (sqrt(2) - sqrt(18)*3))))**2.\nAnswer: 143\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -60, -218, -534, -1062, -1856, -2970?\nAnswer: -4458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s**3 - 12*s**3 - 6*s**3)*(-64 + 26 - 6 - s) as q*s + d*s**4 + w*s**3 + f*s**2 + l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11335547 and 10673.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-32)\/(-12)))\/(7\/56)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145 divide 111410855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -532 + 782. Let m be (-10 - -2)*-12250*1*n. Round m to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2857683 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6428, 6429, 6428, 6425?\n\"Answer: -s**2 + 4*s + 6425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2372*u + 800*u - 2564*u + 298628 = -110836 for u.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 283?\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-246)\/84 - -3)*-4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h**2 - 2*h + 3. Let r be c(0). Let k(x) = -x**2 + 3*x + 3. Let i be k(r). Let w be 2 + i - 12\/4. Solve 3*y - 1 = w*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.2 (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 324, 322, 320, 318, 316?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5549149.\nAnswer: 37, 47, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 5. Let w be a(7). Suppose -5*n + 3 = -4*i - 5, -6 = -w*i. Solve -5*k = -4*m + 3*m + 1, -n*m = -3*k - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 657 divided by 3\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4.5, -2, -3\/4, -79, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7e (base 15) to base 4\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -57*b**2 - 14*b - 3. Let h(d) = 365*d**2 + 89*d + 18. Let q(p) = 2*h(p) + 13*v(p). Give q(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 - -0.1. Let p = 28.8 + -29. Is c at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80628000 rounded to the nearest 1000000?\nAnswer: 81000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9520, -9521, -9522, -9523, -9524, -9525?\n\"Answer: -t - 9519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3549 = -14*q - 679. Let k = q + -192. Solve 5*t + k = -2*i, 2*t = -2*i + 2 - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182 + 97*o - 51*o - 49*o - 50 to the form d*o + c and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11903167 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -176, -358, -602, -908, -1276, -1706?\nAnswer: -2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u = -c - 3, c + 4*u + 3 = 0. Put -5, 5, c, -19 in descending order.\nAnswer: 5, c, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -3\/5, -1\/6, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 0 + -1 - (-59 - -57).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -57. Suppose -5*o = -2*u + 5 + 11, 5*u = o - v. Calculate the remainder when 19 is divided by 9 + (-15)\/20*o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586 - 58 = 4*n. Let h = n - -759. Is h\/7 - (-8)\/(-28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/76 in 56.4, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 23310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*t**4 - 4*t**4 + t**2 - 7*t**2 wrt t.\nAnswer: -168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/23814 and -173\/42?\nAnswer: 23814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -33.5 times -69004\nAnswer: 2311634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 4:49 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/14)\/((-256)\/(-163968)*-61).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 5*s - 7*s**3 + 26*s**3.\nAnswer: 13*s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23404, -46808, -70212, -93616, -117020, -140424?\n\"Answer: -23404*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five eighths of a litre?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8874 (base 12) in base 8?\nAnswer: -35330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, -26, -159, -382, -707, -1146?\n\"Answer: -2*f**3 - 27*f**2 + 40*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/55*70\/4305*5\/4?\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (234*c - 317*c + 244*c)*(4*c**2 + 2*c - 2*c)*(1 + 3 - 3)*(3*c - 3*c - c) as y + w*c + a*c**3 + k*c**2 + f*c**4 and give f.\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 + 19*k**2 - 435*k + 28. Let q(z) = -16*z**3 - 52*z**2 + 1306*z - 77. Determine 4*q(c) + 11*y(c).\nAnswer: -9*c**3 + c**2 + 439*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 3 (c) -117882 (d) 0.4 (e) 11 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -4, -3 in ascending order.\nAnswer: -4, -3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4*w = -32, -5*h = -w - 15 - 21. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*p + o + 83579 = -47*p, 104470 = 5*p - 5*o. List the prime factors of p.\nAnswer: 3, 5, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 5*a - 20, -a + 13 = 2*f - 0*a. Let r = 19 - f. Let p = r - 6. Solve p = 2*c + 2*z, -2 = c + 3*c - 5*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1131327\/35 - -163761\/5. Let y = 432 - i. Factor -y*k**3 - 4\/7*k + 0 + 8\/7*k**4 + 18\/7*k**2.\nAnswer: 2*k*(k - 2)*(2*k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361 times 1?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 627, -1, 3, -3, -13 in decreasing order.\nAnswer: 627, 3, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:06 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20946*f**3 + 19*f**2 - 279*f?\nAnswer: 125676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9036 is divided by 116.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*x + 72 = -18*x - 84. Factor 2\/5*m**x + 216\/5*m**2 - 36\/5*m**3 - 432\/5*m + 0.\nAnswer: 2*m*(m - 6)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*w + 1. Let k(f) = -f**3 - 32*f**2 - 65*f - 146. Let j be k(-30). What is the nearest to -1 in j, w, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 59 + 2 - b**3.\nAnswer: -b**3 - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 6. Let a = o - -5. Suppose a = -6*k + 2*k + 20. Solve -u = 4*u - k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-396)*-11*(-45)\/(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (9 - (11 - (-28 + 37)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 7*w**2 + w + 11. Let k be a(-7). Suppose k*y - 3*p = 77, 0*y = -y + 4*p + 3. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - b = 216. Is b at least 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**3 + 1210*p**2 - 8135*p - 21150 = 0. What is p?\nAnswer: -2, 9, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-9919)\/4578)\/(119\/34*1\/21)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (18\/(-4))\/((945\/(-515172))\/15).\nAnswer: 2, 3, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172850?\nAnswer: 2, 5, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 5*l**2 + 7*l - 5. Is r(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - 2*sqrt(637)*-1)**2.\nAnswer: 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152386.\nAnswer: 2, 13, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -313 + 1567\/5. What is the third smallest value in 4\/9, -4, m?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 32462783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4377199 at most as big as 4377199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (0 + 3)) + 67. What is the highest common divisor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 0 - (-15 + 25 + -10 + 11)) + 100.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 169886 a multiple of 982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*z = 259 - 259. Sort z, -1, -5, 27 in increasing order.\nAnswer: -5, -1, z, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.9 (b) 4 (c) 0.4 (d) -4\/311 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by 2421?\nAnswer: 212\/2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = s - 157, -42*s + 43*s = -87*f - 2787 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**3\/6 + 3*l**2 + 3*l. Let t be u(-3). What is the first derivative of -2*f - 2 - t*f**3 - f + 3*f wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.7. Let o = -2 + 1. Which is the closest to 1? (a) o (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 11*z**5\/20 - 5*z**4\/12 + 7*z**3\/6 + 23*z**2. Does 12 divide y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8c07 (base 13) to base 14.\nAnswer: 7d337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*z - 50*z = 28. Suppose 2*a = z*a - 410. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.42683 micrometers in nanometers?\nAnswer: 95426.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(sqrt(9) + (sqrt(18)\/(sqrt(4)\/sqrt(2)) - sqrt(9)) - sqrt(9) - sqrt(27)\/(sqrt(3)*1))\/(sqrt(300) + 5*(2*sqrt(300) + sqrt(300))))**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3079?\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.18873 seconds to minutes.\nAnswer: 0.3531455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11*g. Let y be t(1). Suppose -4*q - 12 = 0, 3*q - y = -k + 1. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 125488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1787*m + 1045*m - 1438*m.\nAnswer: -2180*m","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11002 is divided by 5121.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 97*x - 36. Is a(3) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 146*k**3 + k**2 - 1. Let n be p(1). Let v = n - 77. Let t = -29 + v. Is t a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 + -7435*40\/(-42488) + 0. Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**2 - 5*k + 0*k**2 - 4*k**2 + 4. Suppose -3*n = 4*d - 18, 0 = -2*d - 2*n - 2*n + 14. Is m(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifvrfvk. Give prob of sequence vvfi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdd when three letters picked without replacement from djtdjdtdjjdd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4189*h. Let u(l) = -22*l. Calculate q(u(k)).\nAnswer: 92158*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/8*-6)\/(12\/6416). Let l = m - 45. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*x = -28 - 56. Let i = -443 + 452. Solve i = -4*g + m - 4*m, 0 = -2*g - x*m - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*x**4 + 1851*x**3 - x**2 - x - 6076452.\nAnswer: -888*x**2 + 11106*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 468 and 75525957?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 53.4 + 2\nAnswer: 55.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37.7 - 39. Let j = q - -1. What is the closest to 0.09 in -2, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -873.36266 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 551583227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -0.017.\nAnswer: -0.017, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezaeezeea. What is prob of sequence ee?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220 - -222. Let r(z) = 102*z**2 + 103*z**2 - 305*z**2 + 98*z**q. Let y(j) = -93*j - 1. Calculate r(y(i)).\nAnswer: -17298*i**2 - 372*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -88*z**3\/3 - 878*z**2 - 6540*z + 450.\nAnswer: -2*(z + 15)**2*(44*z - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*32\/(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-10 - 216\/(-30))*5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -13 (b) 4\/5 (c) -1\/2 (d) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5 - 286*d**4 + 379*d**3 + 3393686*d**2 - 380*d - 3393400 = 0.\nAnswer: -94, -1, 1, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -3.5. Let q = -0.5 + v. Let p = 0.302 - 2.302. Which is the biggest value? (a) -2\/15 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/2)\/((-3 + 6)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 595?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.051 (b) -2\/353 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 67201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 4 + 1)*(j + 4*j - 7*j)*(3*j - 2*j + 0*j) as a*j**2 + p + h*j and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (714*2\/272)\/(98\/(-12))\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 137, 1678, 5999, 14534, 28717, 49982, 79763, 119494?\n\"Answer: 239*v**3 - 44*v**2 - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, g: 4}. Give prob of picking 1 g and 1 c.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 391 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*h - 3*x - 0*x, 3*h - 2*x = 14. Is 6 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-130.\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-15604)\/132634 + ((-4)\/85)\/(66\/(-80))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4\/5 + 24*t**3\/5 + 147*t**2\/5 - 1176*t\/5 = 0?\nAnswer: -7, 0, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 i when four letters picked without replacement from {i: 11, s: 3}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 267*s**3 + 112*s**4 - 132*s**3 - 135*s**3 + (2*s**4 + 0 + 0)*(-1 - 1 + 0).\nAnswer: 108*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*l + 10 + 20, -4*f = -5*l - 40. Let m be 2\/6*0 + 2. Sort m, 0.3, f in increasing order.\nAnswer: 0.3, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41131439?\nAnswer: 47, 89, 9833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21426 less than or equal to 64282\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -12*m**4 + 328*m**3 - 720*m**2 + 504*m - 100 = 0.\nAnswer: 1\/3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkfkfkkfkkkfkfkkkk. Give prob of picking 2 k and 2 f.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -753 + 2?\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211200221201021 (base 3) to base 16.\nAnswer: -b817e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from {p: 1, g: 3, k: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/33522 and 51\/3926.\nAnswer: 435786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (117 - 127) + (0 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**5 + l**5 - 4*l**5)*(51 + 11 + 23).\nAnswer: -340*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*a**2 + a**3 + 22*a**2 + 0*a**3 - 5*a**3 - 2*a + a**3.\nAnswer: -3*a**3 + 208*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2)*1 + 4. Let s = -3 + 2. Let i be s\/((-2 - -3)\/(-1)). What is the nearest to i in 0.1, o, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 5. Let u be y\/22*37*-30. Let n = u - 202. Which is the third smallest value? (a) 0.1 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence appl when four letters picked without replacement from plppplla?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 = -407*p + 420*p + 4*b, -63 = 6*p - 3*b for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(120\/(-104) + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -264, -534, -826, -1152, -1524, -1954?\nAnswer: -2454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of h**6\/120 + 2*h**5\/15 + 3*h**4\/8 - 5*h**3\/6 - 12*h**2. Let c be g(-9). What is the hundreds digit of c*(2 - (6 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 233*m + 12852. Calculate h(141).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384294734?\nAnswer: 2, 192147367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(160\/12)*-5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25617.075 + 25617. Which is the third smallest value? (a) -0.1 (b) 1\/4 (c) z (d) -0.2 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534 is divided by 146?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**2 - 11*b + 40. Let w(d) = 3*d**2 + 7*d - 26. What is -5*h(s) - 8*w(s)?\nAnswer: s**2 - s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 7:52 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378397 is divided by 42041?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 581 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or 3039162?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**2\/2 - 34879457*w\/2 - 17439728 = 0. Calculate w.\nAnswer: -34879456, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.64125 + 0.35875. Which is the third smallest value? (a) z (b) 1\/3 (c) 0.09 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 - (-5 - (-24402)\/(-539))\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 4*r**5\/7 - 162*r**4\/7 + 1130*r**3\/7 - 1214*r**2\/7 - 4110*r\/7 - 1600\/7 = 0.\nAnswer: -1, -1\/2, 5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3 + 7*p**3 - 2*p**2 + 6*p**3 - 5*p**4 - 8*p**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 3*x. Let a be r(2). Suppose -3*h - a*h + 10 = 0. Suppose 0*w + h*w = 36. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 69258604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*m + 36*m + 6*m - 61490 = 0. What is the highest common factor of 1235 and m?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3*g + 14, -3*g - 19 = -5*a - 5*g. Suppose 256 = a*t - 34. Calculate the remainder when t is divided by 30*1*(-2)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.80357302 rounded to two dps?\nAnswer: -30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1264*b + 2379 = -2602*b + 1277*b for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 1.8, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 + (3 + -2 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, m: 13}. What is prob of sequence mmqm?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2560\/(-448)*((-16)\/10)\/1. Suppose -2*i + 11 = 3*p + 1, -2*i + 18 = 5*p. Sort w, i, 2\/5 in ascending order.\nAnswer: i, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 72.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661592909?\nAnswer: 487, 1358507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k)\/(k*k**(-12)) assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1698, -1624, -1500, -1320, -1078, -768, -384?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62316.\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.26819 or -1\/2?\nAnswer: 0.26819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12 + (-275)\/(-2))\/(1*3\/90).\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4883 + 4894 - 2557 = 119*t + 71*t for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 27. What is the remainder when 89 is divided by k(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1065b86 - 2?\nAnswer: 1065b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2158 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/786 and 21\/46.\nAnswer: 18078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3)*r*r**(-5)*(r*r**(-10)*r)\/(r\/(r\/(r\/(r*r**(-5)\/r)))*r))**(-7\/3) assuming r is positive.\nAnswer: r**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6298 to 2 dps.\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*b = -2, -3*b = 3*a - 8 - 1. Suppose 0 = a*f - f - 18. Suppose 3744000 = -f*l - 2*l. Round l to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4340 and 89\/4340?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) -92 (c) 1.2 (d) -35.25 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 + 2*z + 2. Let b be m(-1). Suppose -2*p = b*s - 364 - 16, -3*p + 560 = 5*s. What is the greatest common factor of 72 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 4:11 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 6*k - 79 = 0, -27*v - 2324*k + 76 = -2323*k + 220 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 2*y - 3*y)*(-15312 + 699*y + 15312) to v*y + m*y**2 + t and give m.\nAnswer: -3495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32145039, 32145034, 32145029, 32145024, 32145019, 32145014?\n\"Answer: -5*t + 32145044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 76*w**2 - 7. Let s(r) = 6038*r**2 - 3017*r**2 - 3020*r**2. Give s(d(f)).\nAnswer: 5776*f**4 - 1064*f**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7726 = -4*h - 2864, 0 = y - 3*h - 2118. Let i be 2\/(-13) - y\/(-78). Calculate the highest common factor of i and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34861 - 0.034.\nAnswer: -34861.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1932640 and 46260?\nAnswer: 17393760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**4 + 1940033*t**2 - 1590195*t + 1 wrt t?\nAnswer: -12*t**2 + 3880066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-2))\/((84\/(-7))\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 120 = 5*v, 70 = 2*v + 3*d + d. Suppose -z + v - 3 = 0. Calculate the greatest common factor of 242 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -4. Calculate the highest common divisor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 106463 to the nearest one thousand.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = 70. Let x be ((-2)\/2)\/(2\/(-606)). Let i = x + -205. Calculate the greatest common factor of i and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 83*i**2 + 3 - 2 + i - 35*i**2 - 49*i**2. Let g(p) = -2*p**3 + 4*p**2 - 16*p - 4. Calculate 4*d(m) + g(m).\nAnswer: -2*m**3 - 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = -23*j + 5*j. Let c(r) = 2*r**3 - 16*r**2 - 2*r + 18. Let a be c(8). Sort j, 6, a, -15 in increasing order.\nAnswer: -15, j, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3807 (base 15) to base 14.\nAnswer: -44c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28235*b**2 - 28229*b**2 - 28235*b**2 - 28232*b**2 - 28230*b**2 + 141157*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -202 - -206. What is the greatest common factor of 8 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303687312?\nAnswer: 2, 3, 353, 17923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*((-6)\/10)\/3. Suppose 63 = -6*d + 153. Which is bigger: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t**2 - 5*t**2 + 2*t**3)*(-131 + 131 - t) in the form q*t + s*t**3 + f*t**4 + r + u*t**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16771553 a multiple of 661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 588 (b) -0.01 (c) 12677\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/172 and -74\/9.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1353178 (base 10) to base 9.\nAnswer: 2482181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114692, -229386, -344056, -458690, -573276, -687802, -802256?\nAnswer: -916626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*i - 15, 0 = -j - 2*i + 1 - 4. Let w(h) = -8 - 10 - h**j + 17 + 7*h**2 - 4*h - 4. Determine w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 8:45 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-25)\/6) - 36\/(-90)*-98?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125054, -250108, -375162, -500216, -625270?\nAnswer: -750324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/5 - 2\/(-5). Suppose -162*t + 7823 + 5623 = -1296. Let m(r) = 286*r**2 + 91*r. Let q(v) = 19*v**2 + 6*v. Calculate t*q(a) + z*m(a).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/120 + p**5\/10 + p**4\/12 - p**3 + 5*p**2. Let z be r(-5). Suppose 46 = g + z. List the prime factors of g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -373096.13 to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6894 - 7023 + 13917 - 9*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*a - 5*a - 6*a)*(3*a**2 - 3*a**2 - 3*a**3) to the form f*a**4 + z*a**3 + y*a**2 + p + u*a and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0165 + 1.9835. Which is the closest to 0.04? (a) g (b) 0.4 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.4 and -28.\nAnswer: -39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200021102 (base 3) in base 14?\nAnswer: 152b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 105, 168, 247, 342?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 2*f + 179*f**3 - 362*f**3.\nAnswer: -183*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j + 64*j + 21*j + 2198 = 0 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2 + 4 - 11 - 8 - 18*p. Let m(l) = 2*l**2 - l - 2. What is the remainder when x(-3) is divided by m(3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.202659 - -0.097341. Let z be (-2)\/2 - 2\/(-4). What is the closest to z in -2, o, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42329833649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -28. Let q be (216\/(-4))\/(15\/w). Find the common denominator of (-140)\/q - 1\/(-6) and -45\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*x - 1 = 99*x - 1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -202 - -286. Let x = -10 - 21. Let n = m + x. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13120670 (base 8) to base 5.\nAnswer: 1222044414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 5)\/((-2 + -1)*1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168 - 168. Put 1, -1, s, 0.4 in descending order.\nAnswer: 1, 0.4, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 8 = 21*u. What is the units digit of 68 - (5 + u + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 418 = z, -4*z = 2*h - 0*z + 288. Let b = h - -244. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**4\/12 + 88*a**2 + 394*a. Let i(u) = u**2 - 4*u**2 + 13 - 6. Give c(i(m)).\nAnswer: 6*m**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**2\/5 + 30753*l\/5 + 495888 = 0.\nAnswer: -80, 10331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25408593\/70855 - 2\/14171. Let z = 359 + q. Put 10, 0, z in decreasing order.\nAnswer: 10, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*y**2 + 79*y**2 + 188*y**2)*(y - 2*y - 2*y) as p*y**3 + o*y**2 + v*y + d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p + 18. Let b(x) = x - 1. Suppose 0 = -2*g - 1 + 17. Let u be b(g). Let y be i(u). Solve f + 5 = 2*o + 2, -5*o = f - y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = 5*x - 18, u = 5*x - 21. Suppose 5*r = -z - 4, 97*r + 4*z = 98*r - 16. Solve -x*y = -4*w - 0*y + 20, 3*w + y - 15 = r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 divided by -45589?\nAnswer: -164\/45589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30778493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18103284 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -866 - -868. Let s be (-8)\/d - ((-184)\/(-48))\/(-1). What is the closest to -1 in 2, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from nlonyou.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 11*t**2 + 15. Suppose -3*v + d = -39, 2*v + d - 5 - 16 = 0. Let k = v - 1. Let j be q(k). What is the highest common divisor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (-1 - (0 + 0)). Let u(m) = -2*m - 4 + v. What is the smallest common multiple of u(-1) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2166113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 - 0.16. Let z = h - -0.4. What is the third smallest value in z, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28100 is divided by 999.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-76)\/95)\/((-1)\/(-155)). Let m = f - -202. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.58 - -0.2. Let f = -4681 + 4680.6171. Let t = c - f. What is t rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {d: 6, t: 1, v: 6, s: 4}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -n**3\/3 + 578. Let f(r) = r**2 + 319*r. What is f(j(v))?\nAnswer: v**4 - 319*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s - 1. Let c be (-12)\/((-4)\/(-1)) + 6. Let f be p(c). Let j be (-5)\/10 + 11\/f. Solve 10 - 30 = -j*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 9:17 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 5. Let x(b) = -b**3 + 4*b**2 - 2*b - 3. Let k be x(3). Let s be q(k). List the prime factors of ((-3)\/5)\/(1\/s).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5516*k**2 + 2036*k**2 - 15649*k**2 - 19267*k**2 as t + z*k + r*k**2 and give r.\nAnswer: -27364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21496.308 months in centuries?\nAnswer: 17.91359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 29*t**2 + 27*t + 29. What is n(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Suppose 0*d + o*d + 3 = 0. Let b be ((-8 - -1) + d)\/(-2). What is the smallest value in 0.5, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 2. Calculate the smallest common multiple of y(7) and (-33)\/(-3) + (-6)\/(10\/(-5)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1062*g**3 + 1010*g**3 + 50*g**3 - 288*g.\nAnswer: -2*g**3 - 288*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1414437?\nAnswer: 3, 31, 67, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/6 of a decade?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7 + 6*d - 34*d**2 - 2 - 4*d**2 - 1. Let n be k(5). Let y = -533 - n. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/12)\/((-45)\/(-120))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 18*d**3 + 3*d - 5. Let t(b) = -35*b**3 - 5*b + 11. Determine 7*p(x) + 4*t(x).\nAnswer: -14*x**3 + x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2184121 is divided by 1497.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*y**3 + 0)*(-5 + 4 - 1 + 0 - 4 + 2 + (-1 + 4 - 4)*(-5 + 0 + 3)).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**3 + 336*z**2 + 1571*z - 910. Determine w(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27716296*-0.3.\nAnswer: -8314888.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -2*m. Let x(g) = -3*g**2 + g + 1. Let u(s) = -9*s**2 - 7*s**2 + 17*s**2. Determine m*u(o) + 2*x(o).\nAnswer: -o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 0*l + k + 3, 192*k - 15 = 189*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + n**2 + 1. Let s(o) = 2*o**3 + o**2 + 4*o + 1. What is -a(v) + s(v)?\nAnswer: v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004115 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*b = 10, -2*w + 5*b + 15 = -10. Let o be w\/(12\/(-6) + (-2 - -1)). Which is greater: 4\/13 or o?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27050 - -27049.999980453. What is c rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477460119 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5996474731?\nAnswer: 13, 35482099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**4 - 4*z**3 - z**2 - 2*z. Let k be (-12)\/(-30)*10 - -2. Let w(f) = -2*f**4 + 7*f**3 + 2*f**2 + 4*f. Let o(n) = k*w(n) + 11*q(n). Factor o(a).\nAnswer: -a*(a - 1)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559766995 take away -0.2?\nAnswer: 1559766995.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 738a26 (base 11) to base 6\nAnswer: 41205342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 635, 4951, 12949, 24629, 39991, 59035, 81761?\nAnswer: 108169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.233 + 0.067. Let r = x + -2.4. Let s = 0.1 + -0.1. Which is the nearest to r? (a) -1\/3 (b) s (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82 - (-9 - 63)) + (1 - 1) + (-10 - 1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32961797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 + -1 + (30 - (-49 + 6 + 60))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(-l**5 + 2*l**5 + 2*l**5 - 7*l**3 + 7*l**3 + 4*l**5 + (-3*l**2 - l**2 + 3*l**2)*(-3*l**3 + l**3 + 0*l**3)).\nAnswer: -18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 12*h - 15. Let q be h\/(-2) + (-19)\/2. Let g(o) = o**2 + 7*o + 4. Give g(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l - 2*l + 5*l)*(6*l**3 - 2*l**3 + 2*l**3) + 3*l**4 - 4*l**4 - l**4 - 2*l**4 + l**4 + 4*l**4 + 7*l - 7*l - 2 + l**4.\nAnswer: -10*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 394776450?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13362.504 and -1715?\nAnswer: 15077.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 214 + 16. Let s = -17 - -18. What is the lowest common multiple of 9 and m\/22 - s\/(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 = 5*f + 42. Let j = 70 - f. What are the prime factors of ((-5)\/j)\/((-2)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10 + (-34)\/(-10). Suppose 7 = -o*k + 52. Let s = 21 + -15. What is the remainder when k is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:10 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24164 from -1112857425.\nAnswer: -1112881589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4382200369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*f**4 - c*f**2 - c*f - c + 75*f**4 - f**2 - 9*f wrt f.\nAnswer: 12*c*f**2 - 2*c + 900*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = z - 75. Find the first derivative of -z*m**4 + m**4 - 11 - 3*m**4 wrt m.\nAnswer: -68*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330 a factor of 15254730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 458 and 18952.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 2*h + 5*h)*(3*h + 2*h**4 - 3*h) + (3 + 3*h**3 - 3)*(h**2 + 3*h - 3*h).\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -31*o**2 + 4. Let a(v) = -63*v**2 + v + 6. Determine -3*a(c) + 5*h(c).\nAnswer: 34*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198014 and 1308268?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1821*j**2 + 5939*j**2 + 4310*j**2.\nAnswer: 8428*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 11549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 129*w**2 - 992*w - 240.\nAnswer: -(w + 12)*(w + 20)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 5. Let f(s) = -s**2 + 6*s + 7. Let l be f(h). Let g be 1 - (l\/(-3))\/3. What is the nearest to -2 in g, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-45) - (-29)\/9. Calculate the remainder when 22 is divided by z\/(9\/24 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 690.4 to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2904*r**2 + 484*r - 40.\nAnswer: 4*(22*r + 5)*(33*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = h - 0*h - 29, -h - 5*b = 21. Suppose -j + 4*u = -0*j - 313, 3*j - h*u - 899 = 0. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -189861*w**4 + 57*w**3 - 25*w**2 + 118040472?\nAnswer: -759444*w**3 + 171*w**2 - 50*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -25, 203, 5 in ascending order.\nAnswer: -25, -4, -2, 5, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15 * 72226\nAnswer: 1083390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + (-1 - -18) + (118 - 123) + -42.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 1:38 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*o**2 + 0*o**4 + 0*o**4 - 13*o**2 - 3*o**6 wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 193 - 63 - 65 - 65 + 7881*k to the form v*k + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 3033*c**5\/20 + 2417*c**4\/12 + 657*c**2. What is the second derivative of z(j) wrt j?\nAnswer: 18198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**2 + 1. Let z(a) = 3545*a + 2. Determine z(o(k)).\nAnswer: -10635*k**2 + 3547","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 141105*c + 4*c**3 - 140996*c - 7 + 8 to g*c**3 + i*c**2 + d*c + k and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-7) - (-18)\/(-63). Let r be (7 + -4)\/(i + 8). Which is the nearest to 1? (a) 0.3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (81\/(-6))\/(6\/(-16)). Suppose p - z = -p. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280086?\nAnswer: 2, 3, 46681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -24*q**3 - q**2 - 2*q - 3. Let u be a(-2). Does 13 divide u\/15 + 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13*j**2 + 3*j - 1. Let a(s) = -6*s**2 - s. Give -9*a(x) - 4*l(x).\nAnswer: 2*x**2 - 3*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 14 (c) 2\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*r + 71. Let p = -39 + r. Suppose -4*s - p + 0 = -k, -5*s - 2*k + 15 = 0. Solve t - 2*t = s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14394.5459 rounded to 0 decimal places?\nAnswer: -14395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 6752 - 6751 + 3*l. Let j = -14 - -8. Let r(a) = -a - 2. Let h be r(j). Give d(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Suppose -4*z + 30 = a*n - 26, -3*z - 28 = -2*n. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41774 is divided by 4133?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 3741*v + 48593536.\nAnswer: -(v - 5347)*(v + 9088)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8594 is divided by 2148.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*w**4 - 888*w**3 + 6532*w**2 - 13024*w + 7744.\nAnswer: 4*(w - 11)**2*(3*w - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, -1.465, 4\/3, 7, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -7*l**6\/360 + l**3 + 19*l. Let n(x) be the second derivative of b(x). Let j(t) = t. Calculate j(n(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p - 85. Let h be q(-22). What is the third derivative of -134*v**3 - 39*v**2 - 197*v**3 - 3*v**2 + 238*v**h wrt v?\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (30 - (-4 - -16))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 + 94*d**2 - 32*d + 55. Calculate q(-47).\nAnswer: 1559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a kilogram in grams?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -31*w + 65*w - 18*w. Let a(z) = 11*z**2. Determine a(d(f)).\nAnswer: 2816*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = -2*q, -14 = n - 3*n + 5*q. Suppose -36 = -p + n*o, 138 + 72 = 5*p + 5*o. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w - 9 - w + 12. Let g be y(1). What is the remainder when 14 is divided by 66\/g + 14\/(-56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m - 72 = 0. Calculate the greatest common divisor of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 times -115.9446\nAnswer: -11246.6262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 11*f + 3. Let v be a(-1). Let s be (-221)\/(-52) - (-2)\/v. Suppose 7*j + 3*z - 957 = 3*j, 20 = -s*z. Is j a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 202303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 9*u**2 + 5*u - 3. Let t be d(-7). What is the tens digit of 1\/4 + 1425\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - -4*((sqrt(70) - -1*sqrt(70)) + sqrt(70)))\/((sqrt(80)\/sqrt(2) - sqrt(40)) + sqrt(40)).\nAnswer: 13*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.02 + -12.02. Let w = v - -8. Let p = -0.125 - 0.075. What is the smallest value in w, 2\/17, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396809 is divided by 13683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**3 + o**2 - 7*o**2 + 7*o**3 - 3 + 8*o**2 + 2*o. What is the remainder when r(3) is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:07 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5750327 is divided by 410736.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 15, -0.5, -1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -354*i**2 - 2*i**3 + 0*i**4 - 2*i**4 - i**3 + 344*i**2 wrt i?\nAnswer: -48*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*w = 67, 4*h + 3*w = 7*w + 76. Let j be (6\/(-20))\/((336\/(-20))\/h). Let 0*g + 0 + 1\/4*g**4 - j*g**5 + 1\/4*g**3 - 1\/4*g**2 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/6083586 and -151\/1312146.\nAnswer: 66919446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1807627 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -47388, -94722, -142056, -189390?\n\"Answer: -47334*t - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*v - 5421 + 7720 = 6667 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*g - 4*g + 19, -2*z = g + 26. Let r be 1\/5 - (-13)\/z. Let v = -25\/3 - -8. What is the closest to 1 in v, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 27 = -2*z, 0 = 3*z + 2*y + 56 + 4. Let w be (-278988)\/z + 2\/3. Round w to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -3*c + 15, -3*j = -4*c - 25 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/175 - (12\/(-30) - 0). Let y(f) = -f**3 - 5*f**2 - 6. Let c be y(-5). Let t = -0.1 - -1.1. Sort m, t, c in increasing order.\nAnswer: c, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 25*t = -12. What is the hundreds digit of (-3563)\/(-14) - t*(-2)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007514183647 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1202, 2380, 3558?\n\"Answer: 1178*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*m - 2*m - 3*m + 0*m)*(-8*m**2 - 45*m + 45*m) to the form u*m + x + s*m**2 + w*m**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -71378999 - 4?\nAnswer: -71379003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 288 + -285. Suppose 4*v + 1072 = 2*s, 8*s = k*s + 4*v + 2674. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8237848 + 12676328. Let o = v + -3078480. Round o to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzzkzkkzzzzz. What is prob of picking 4 z?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34307 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*f - 3*f**2 - 2*f**2 - 14*f.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y - 24. Let x(j) = j**3 + 2*j**2 - 2*j**2 + 2*j - 2*j**2 - 2. What is the least common multiple of x(2) and r(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45309, -45382, -45503, -45672, -45889?\nAnswer: -46154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 6 + 2. Let z = 319 - 319.2. Which is the nearest to -1\/3? (a) 1\/2 (b) q (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19229, 18351, 16865, 14753, 11997?\nAnswer: 8579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, 1, 17 in decreasing order.\nAnswer: 17, 1, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24099265 is divided by 502067.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 90, 26 in descending order.\nAnswer: 90, 26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 6*o + 0*o)*(-195 + 62 - 25 + 4 - 1 - 4 + (-1 - 4 + 3)*(4 - 4 + 2) - 1 + 0 + 2) to the form d + k*o and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -1\/6*a**3 + 0*a**2 + 0*a**4 + 1\/90*a**6 + 0 - 1\/40*a**5 - 3*a. Let q(u) be the second derivative of j(u). Calculate q(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402.8075 milliseconds in minutes?\nAnswer: 0.023380125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -21. Let v = d + 18. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 equal to -3292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2466\/315 + 3\/5 and 38\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 13) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 10107*m**5\/5 + 2886*m + 744. Differentiate k(q) with respect to q.\nAnswer: 40428*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0979076542 to five dps.\nAnswer: -0.09791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/20 - 13*u**4\/12 - 13*u**3\/6 - 2*u**2 - 9*u. Let a = 44 - 29. Is d(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11300031333 (base 4) to base 10.\nAnswer: 1508223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gkggkgkwgggggl.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6525440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 10*j - 77. Suppose -y - j = -11. Let t = -3.5 - -0.5. Put y, t, 3 in descending order.\nAnswer: y, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13392*p**2 + 1615 + 3*p**3 + 13392*p**2 - 1611.\nAnswer: 3*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770940141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 1, i: 1, w: 2, j: 1, e: 1}. What is prob of picking 1 i and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s\/(s*s**(11\/2)))\/s*s)*s*((s**(-2)\/s)\/s)\/s assuming s is positive.\nAnswer: s**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -9, -517, 513.\nAnswer: -517, -9, 0, 5, 513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-6*sqrt(2160)*-3)\/((sqrt(25) + sqrt(100) - sqrt(25))\/sqrt(5) - sqrt(5) - (sqrt(220)\/sqrt(4) - sqrt(55))\/sqrt(11)))**2.\nAnswer: -864*sqrt(3) + 139972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12443781 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 112, 220, 404, 688, 1096, 1652, 2380, 3304?\n\"Answer: 4*t**3 + 14*t**2 + 38*t + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/12 and (54\/(-96))\/((-10)\/8 + 3).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1406, 1421, 1462, 1541, 1670, 1861?\nAnswer: 2126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 - 19. Find the third derivative of 4*l**2 - 4*l**2 + 9*l**6 - h*l**6 + 2*l**2 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(20) - sqrt(20)) + sqrt(20))*3)\/(sqrt(120)\/(sqrt(12) + sqrt(48)))*1 + 5.\nAnswer: -18*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 74570 + 6901 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 10 = -6*q. Suppose -2*i = q*i - 424. Suppose 29 = 4*o + 3*s, 4*s + i = -0*o + 3*o. What is the greatest common factor of 209 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 11*n**2 - 20*n - 97. Let u be f(-10). Let x(i) be the first derivative of -1\/4*i**4 - 5*i**2 + 9*i + 13 + 10\/3*i**u. Calculate x(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.05, 0, 327, 0.4.\nAnswer: -0.2, 0, 0.05, 0.4, 327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 8, 1\/2, 5, 41.1 in descending order.\nAnswer: 41.1, 8, 5, 2, 1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by 43726.\nAnswer: -81\/43726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 + 12*k + 246 - 12*k - 102*k**2 - 126.\nAnswer: -102*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (91\/(-65))\/((-1939)\/2770)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*j + 2*u, -4*j = j + u + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/13)*m**4*m**7*(m*m**3*m*m)\/m*m assuming m is positive.\nAnswer: m**(219\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -58 - (-76 - -15) - -27\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-108)\/(-51) - -1). Put 1\/3, 4, m, 2\/7 in descending order.\nAnswer: 4, 1\/3, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-146)\/14 - (14 + (-606)\/42).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32503543 < 32503540?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 55 = -0. Let v(w) = 33*w - 71. Calculate the remainder when v(3) is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(30\/11))**15 assuming u is positive.\nAnswer: u**(450\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6*d. Suppose -n + 11 + 18 = d. Let o = n + -38. Is -9 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34740827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1772 divide 26144292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32, 2.6, -8\/5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 2 e when four letters picked without replacement from eefyygefqyyeyeeqyq?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -4. Suppose 0 = a*i + 2*n - 70, 2*n - 7 = -i + 11. What is the tens digit of (i\/4)\/(7\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) 226 (c) -1984 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0 + 0)*(0 + 0 - n) - 2*n + 2*n**2 + 2*n + 13*n**2 + 5*n**2 - 4*n**2.\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 11:26 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6731, 9, -26 in increasing order.\nAnswer: -6731, -26, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.093612 plus -725?\nAnswer: -726.093612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11831, 11832, 11833?\n\"Answer: l + 11830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (24 - (15 + -39)) - -17) + 81.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6)**(4\/25) assuming f is positive.\nAnswer: f**(24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14564)\/76461*(-42)\/(-356)\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 9*a - 7. Let f be v(-8). Let g be -5 - -8 - (2 - f). Solve 4*r + 3*o = 5*o + 20, g*r = 3*o + 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, 0.1, -2\/7, 27, 1.3 in descending order.\nAnswer: 27, 1.3, 0.3, 0.1, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-21 - -6) + (241 - 196).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-297)\/(-55) + 20\/(-4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 331384 by 31.\nAnswer: 331384\/31","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: -0.036*-14613\nAnswer: 526.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {z: 10, o: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1310 and 348722?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 14. Let j be (4\/(-30))\/(u\/30). Let x = -40 - -39. Which is the nearest to j? (a) 1 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -967970870 - 0.02\nAnswer: -967970870.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 15085.\nAnswer: 90510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1523925 by -75.\nAnswer: -20319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 128441 divided by -2144?\nAnswer: -128441\/2144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 + 23 = 20*j + 15 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290532 is divided by 1289531?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + -0.7. Suppose 0 = 14*q - 17*q + 3. Let o be 1\/q - (40 - 4)\/(-4). Which is smaller: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1313 (base 4) to base 12\nAnswer: 9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2892, -2928, -2964, -3000, -3036?\nAnswer: -3072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1020020 + -3?\nAnswer: -1020023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1636 and 22332218.\nAnswer: 818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14791 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2862181*c - 954056*c - 954053*c + 1 - 1 - 954070*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2 + 143512*b + 143511 = 0. Calculate b.\nAnswer: -143511, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g. Let d(q) be the second derivative of 79*q**4\/4 - q**2 + 153*q + 20. What is d(m(p))?\nAnswer: 948*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5) - sqrt(245)) + sqrt(5) - sqrt(60)\/(sqrt(12) + sqrt(12) + sqrt(60)\/sqrt(5)))*-1.\nAnswer: -20*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56*27\/(-72) - (-64 + 0).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -27 + 6*i**2 - 2*i**2 + 7*i - 11*i + 9*i. Does 19 divide f(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**6\/15 + v**4\/4 - 4*v + 1. Let z(w) be the first derivative of p(w). Find the third derivative of z(i) wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*u. Let z be u + (-2 - (0 - 4)). Suppose j = -t + 3, -t = z*t + 4*j - 8. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 2012?\nAnswer: -200e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-1 + 1 + -1). Let z = -23 + 22.69. Let f = -0.41 - z. What is the closest to f in k, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 411 - 3?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6747*p**2 - 62. Let z be x(-7). Is 8\/60 + z\/(-75) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 13 = -3*g, 2*t - 4*t + 4*g - 8 = 0. Let n be 0\/(1 + t + 0). Let v(j) = j**3 + j**2 - j + 3. Give v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 0\/(3\/(9\/12)) - -938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1373528 and 611?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8778 less than 8788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**4 + l**2*q - 14064*l*q - 164028*q wrt l.\nAnswer: 4*l**3 + 2*l*q - 14064*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + p - 4*p)*(-1 - 2 + 2)*(2 + 1 - 5)*(p**3 + 5*p**3 + 14*p**3) to c*p**4 + s*p**2 + a*p**3 + z*p + n and give c.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -43 + 158. Let u = v + -13. What is the remainder when 37 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -119870 from -127619.\nAnswer: -7749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22825806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 961*w**2 + 47*w - 961*w**2.\nAnswer: w**3 + 47*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d - 1. Let s be t(-1). Suppose 32 = h + 2*m, -m - s*m - 132 = -5*h. What is the highest common divisor of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 506*u**2*y**2 + 17*u**2 - 28*u*y**2 + 1368625*y**2 with respect to u.\nAnswer: 1012*u*y**2 + 34*u - 28*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262*g**2 + 54*g**2 - 323*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -6.5. Let w = p - -0.47. Let m = 0.97 - w. Do m and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 449.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 74*z**3 - 62*z**3 + z - 5 + 6. Determine q(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-3))\/(24075\/(-664470))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -24*z + 12*z + 10 - 3*z**2 + 15*z. Let r be s(-7). Let k = -31 - r. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*s - 162*s + 60 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 + 4203b?\nAnswer: 4206c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttrttdqdttqrttr. Give prob of picking 1 r and 1 q.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 239*o**2 - 78*o + 254. Let w be i(3). Which is smaller: 1\/3 or w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (5 + sqrt(80) + -2)**2) + 0)*-1.\nAnswer: 20*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -766.\nAnswer: 1\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7058922 is divided by 983?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -25*c**2 - 2*c + 7. Let y(t) = -6*t**2 - t. Let p(g) = a(g) - 4*y(g). Give p(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - -1*sqrt(720))*2*5 + 5.\nAnswer: 5 + 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 157534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*(sqrt(170) - (sqrt(170) + 1*sqrt(170)*-3))*3)\/((sqrt(90) + 2*sqrt(90) + 5*sqrt(40))*-4).\nAnswer: -45*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 2408.98726?\nAnswer: 2413.98726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, o: 2, a: 2, e: 6}. What is prob of sequence re?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 3 - 23 = 0. Do -1 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175 times 0.11?\nAnswer: 129.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 769 is divided by 78.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169583.\nAnswer: 3, 17, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 2*q - 4*o + 23, 0 = 3*q - 2*o - 85. Is 5*-1 - (-45468)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -0.8. Let t be (-6)\/(-63) + 6\/(-14). What is the third smallest value in h, t, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54903 and -0.11.\nAnswer: 6039.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 4. Suppose -p*m - 10 = -80. Calculate the greatest common divisor of m and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 4. Let w be 1*((2 - v) + 0). Solve w*t + 9 = -5*o - 2*t, -o - t = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82718854 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -5. Let b = -4 + n. Let y(j) = j**2 - j + 4. List the prime factors of y(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1138 - 395 + 679)*(-3 - 2 + 4)*(-4 + 3 + 0)*(4 - 4 + 2*s).\nAnswer: 2844*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/5))**(7\/5) assuming x is positive.\nAnswer: x**(-21\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 57008169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 143 + 133 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 7. Let r be s(7). Suppose l = 0, 0*t + l = -4*t - 20. Let i = -0.04 + -0.26. What is the third smallest value in r, t, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 2077.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f. Let y be u(1). Let p = 3 + y. Suppose -4*g = 3*k - 67, p*k - 131 = -0*g + 3*g. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136596, 273182, 409768, 546354, 682940, 819526?\nAnswer: 956112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1661*d - 1 + 0 + 1.\nAnswer: 1661*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 15, -9 in descending order.\nAnswer: 15, 2, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 89.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 17, k: 2}. What is prob of picking 1 k and 1 v?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021729 to 5 decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(54)\/(-2*sqrt(3)))*-4)\/(sqrt(81)*5 - (sqrt(900)*1 + sqrt(9))).\nAnswer: -3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 - 44.9?\nAnswer: 30.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5701159 divided by 2?\nAnswer: -5701159\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49*17*14\/1666.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1011131330 (base 4) to base 12\nAnswer: 1187b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 5*f**4\/12 + 3*f**2\/2 - 4*f - 4. Let k(d) be the first derivative of r(d). What is the derivative of k(j) wrt j?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 6*i**2 - 8*i + 7. Let m be s(7). Let g be (10\/4 + m)*-2. Let w be g + 8 + (-22)\/6. Which is the second biggest value? (a) -0.2 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - 4*n**2 + 3*n. Let x be (-1 + -1*2)\/(-2 + 1). Let b(p) = 12*p**2 - 3*p - 3*p - 3*p**2 + 6*p**x - p. What is 3*b(h) + 7*z(h)?\nAnswer: -3*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.615909 rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -1\/35*o**5 + 0*o**2 - 17*o + 0 + 2\/21*o**3 + 0*o**4. Factor h(j).\nAnswer: -4*j*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 11*o - 28*o + 3 + 8*o. Let a(c) = -3*c + 1. What is -11*a(h) + 4*j(h)?\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39105 - 5231346 - 3158487 = -228*o. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 671, 1318, 1955, 2576, 3175, 3746, 4283, 4780?\n\"Answer: -l**3 + l**2 + 651*l + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 345.5 and 1383.\nAnswer: 477826.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.88 + -0.9. Let y = -0.022 - f. Round y to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.104491l in millilitres?\nAnswer: 7104.491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 - -48. Suppose 4*u = -12, 2*l - 4*u + 20 - 56 = 0. Calculate the greatest common factor of l and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2 + 25*r + 1. Calculate k(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 91*z**3 + 90*z**2 + 17*z - 23. Let s(p) = -23*p**3 - 22*p**2 - 4*p + 5. Calculate -2*k(r) - 9*s(r).\nAnswer: 25*r**3 + 18*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -206.\nAnswer: -1\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/2720 and 79\/144?\nAnswer: 24480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of 49*g**6\/60 + 21*g**5\/10 - 419*g**4\/24 + 19*g**3\/2 - 2*g**2 + 41*g. Factor j(w).\nAnswer: (w - 2)*(w + 4)*(7*w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 6*w**2 + 6*w - 4. Let r be k(5). Let j(b) = 19*b - 3. Let s be j(r). Let d(l) = 10*l - 27. Is d(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 128416.352768 and 1265.\nAnswer: 129681.352768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 479445?\nAnswer: -1917780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1439 is divided by 1416.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 4*i + i + (-1 + 2*i + 1)*(3 + 1 - 1))*(5*i - 5*i + 2*i**2).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451147.\nAnswer: 97, 4651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/(16\/6). Let w = 1049 - 1052. Let l = 1 - 1. Which is the closest to l? (a) f (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90911\/2 smaller than -45457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -338 + 333. Let w(q) = q**2 - 5. Suppose 0 = 4*g + 4*o - 12, 0 = -3*g + 4*o - 5 - 0. Let d(x) = -1. Give g*w(c) + s*d(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.057227297 to 4 decimal places.\nAnswer: -0.0572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137 - 139. Let y(k) = -k. Let t(x) = 10*x - 1. Let d(n) = u*t(n) + 22*y(n). Let w(j) = j. Determine w(d(s)).\nAnswer: -42*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1517*d*h**4 + 13213*d*h**2 + 54*h**4 + 31*h**2 wrt h?\nAnswer: 36408*d*h + 1296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -27112042 less than or equal to -27112018?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411*s**2 + 414*s - 210*s - 204*s + 211*s**2.\nAnswer: 622*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 4*a**2 + 2*a - 3. Let h be 2\/6 - 4\/(-6). Suppose t - 3 = h. Let z be p(t). Solve -6*l + k + z = -4*l, -l + 4*k = -13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spx when three letters picked without replacement from {s: 2, f: 1, p: 2, x: 1, b: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 101. Let m(y) = -21*y**2 + 5*y. Let q(s) = -25*s**2 + 6*s. Let g(v) = -6*m(v) + 5*q(v). Calculate i(g(f)).\nAnswer: f**4 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9. Let i(m) = -m - 10. Let c(n) = 4*i(n) + 3*w(n). Let u be c(-7). Suppose -5*p - x + u = 0, -3*p = 3*x - 0*x + 3. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1572, -1\/4, 0.2, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/11 or -50658?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 90117377 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*x + 49*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3036 and 16.\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*i - 2*i - 906 = 0, -5*b + 2*i = -1155. List the prime factors of b.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 12*f - 25. Let s be x(-15). Suppose -22*d + 104 = -s*d. What is the greatest common factor of 143 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*g**3 - 10*g**3 + 21*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2021 times -16\nAnswer: -32336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:16 PM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) 25 (c) -11 (d) 3 (e) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, -2\/23, 0, 2, -0.3 in decreasing order.\nAnswer: 2, 0, -2\/23, -0.3, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 3*b - 2*q - 32, -3*q = 7*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472836?\nAnswer: 2, 3, 7, 13, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001038721563 rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + -2.47. Let h = v - -4.3. Let s = h - 2.2. Is s at least 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 1. Let y(i) = 6*i - 16. Let f be y(3). Find the third derivative of -b**4 - b**f + b**z - 2*b**5 + 0*b**2 wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1414338 less than -15557724\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.9 + -41. Which is bigger: 1\/19 or n?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 - 3*g - 14. Suppose 3*u - 10*u = -28. Let h(m) = -m - 1 + u - 4. Let r(j) = -3*h(j) + t(j). Differentiate r(d) with respect to d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 15*x + 4*x to v + p*x and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-1)*(-6)\/((-30)\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 5232 = -38*b. Is -218 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*r + 18*r**2 + 4*r**2 - 2*r**2 - 3*r wrt r.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 7:58 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50 - -54?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, j: 2, b: 1, v: 1, p: 1, o: 1}. Give prob of sequence zjob.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9084 divided by -15\nAnswer: 3028\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + 10. Let v be b(-7). Let d be v\/(-2) + (-6)\/(-12). Let h(u) = 4*u**2 + u. What is the units digit of h(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5979 + 10093. Calculate the greatest common divisor of p and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1517 divided by -7.\nAnswer: -1517\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = 4*x - 5, 2 = -2*d + 3*x. Suppose -3*j + 1 + d = -2*o, 2*o + 5*j = 5. Which is smaller: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9\/10 of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 + 6*m**2 + 3*m - 64. Let n(g) = -3*g**3 - 8*g**2 - 4*g + 65. Determine 4*h(t) + 3*n(t).\nAnswer: 3*t**3 - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 take away -2?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 45*y**4\/8 - 21*y**3\/2 - 225*y**2\/8 + 57*y\/2 - 9\/2 = 0. What is y?\nAnswer: -2, 1\/5, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*b - 564389 + 564389 + 16*b**2 as h + n*b**2 + u*b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-37)\/(-3) + -14)\/(-1 + 3\/18). What is c in -484*c - 68\/7*c**3 - 792\/7*c**m - 2\/7*c**4 - 2662\/7 = 0?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(833) + sqrt(833) + (sqrt(833) - (sqrt(833) + -3*sqrt(833))**2) + -1 + -1 + sqrt(833) + 0.\nAnswer: -3337 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 35*q**2 - 32*q + 68. Let x be b(-34). Let m = 0 + -4. What is the nearest to x in 13, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(45)*2)\/sqrt(9)*-2.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllz when four letters picked without replacement from zcsncnllcslczczc.\nAnswer: 3\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t - 4. Determine y(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 16948 = 1968. What is the highest common factor of 107 and h?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.33 (b) -8 (c) -1\/26 (d) 1 (e) -4 (f) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5245 - 5228. Solve 0 = -15*d + 16*d + 4*w + 13, -4*w = 5*d + o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g - 1. Let q be j(-1). Let w = 30 - q. Is w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -16.42 and 4.\nAnswer: -12.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25791852817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 26 + (3 - 3) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 4424087?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b - 33. What is the lowest common multiple of u(-8) and 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2882)\/393)\/(12\/(-90))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 66*d**2 - 66*d + d**3 + 10 + 21 - 74*d**2. Suppose -2*i = 2*r - 20, -4*i - 18 = -r - 7*i. What is the least common multiple of r and l(13)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 0.2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72929?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44100 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36900 = -710*w + 720*w - 2050. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from mmommmmmmmmmmommmmm?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 593, 676, 823, 1040, 1333, 1708?\n\"Answer: n**3 + 26*n**2 - 2*n + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -3*c**5\/20 + c**4\/24 + 141*c**3\/2 - 13*c**2 + 13*c. Differentiate u(a) wrt a.\nAnswer: -18*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**3 + 8*r**3 - 32*r**3 - 35*r**3.\nAnswer: -70*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (194*s**2 - 194*s**2 - 6*s**3)*(-1 - s - 2*s + s).\nAnswer: 12*s**4 + 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1034*g + 3113*g - 1041*g to a*g + p and give a.\nAnswer: 1038","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.30814 to two dps.\nAnswer: -5.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h + 1. Let o be g(-1). Let u = 12 + 3. Let p = o + u. Calculate the smallest common multiple of 5 and p.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 1322*p**2 - 21538*p + 85302.\nAnswer: 2*(p - 9)*(p - 7)*(p + 677)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + c05ec?\nAnswer: c05e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/(-2) - (-12 - -13). Let i = h + 34. Let s be (-3 - i\/(-2))*6. What is the greatest common divisor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5*f + 315, -f = 4*b + 155 - 575. Suppose 5*t - p - 105 = 0, 5*t - 2*p - b = 2*p. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a**2 - 2*a - 7*a - a**3 + 4*a**2 - 7*a**2. Let l be r(-9). Suppose o = -l*o + 13. Solve -v = 5*m - 16, -3*m - 2*v - 2*v = -o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 32. Let y be (t\/(-20))\/(8\/(-20) + 0). Solve 0 = y*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 60 = -5*t. Let x = 325 + -310. Let q be (-4)\/(x\/(420\/(-16))). Solve t = -q*z + 4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*q - 3*l, l = q + 3*l + 9. Let f be (-6)\/8 + 2\/(-8). Let v be f + 3\/4 - 0. Is q smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u - 42 - 362 + 15 - 50*u.\nAnswer: -92*u - 389","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(c**3 - c**3 + 2*c**3) - 4*c**3 - c**3 + 0*c**3 - c**3 - 3*c**3 + 2*c**3 + c to z*c**3 + r*c + x + k*c**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6331862 to the power of 1\/2, to the nearest integer?\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 5:28 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206 and 5150?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -7\/12*h**4 + 0 - 17*h + 53\/20*h**5 - 2*h**2 + 0*h**3. What is the third derivative of m(d) wrt d?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5636 (base 7) to base 5.\nAnswer: 31121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*o**4 - 39*o**3 - 15*o**2 + 3*o.\nAnswer: -3*o*(o + 1)**2*(7*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -8. Let o(w) = 6*w**2 - 8*w + 2. Let x(f) = 7*f**2 - 9*f + 2. Let u(s) = h*o(s) - 5*x(s). Factor u(q).\nAnswer: (q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 18, -7, -52, -123?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c**3 + 115*c**2 - 3*c + 14. Let w(v) = 10*v**3 - 167*v**2 + 4*v - 21. Let m(h) = 9*w(h) + 13*y(h). Calculate m(-6).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-6) - (-1)\/(-10). What is the closest to -1\/3 in 0, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4687, -9029, -13459, -17977, -22583, -27277?\n\"Answer: -44*b**2 - 4210*b - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5088756 divided by 4\nAnswer: -1272189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {d: 1, h: 1, q: 5, f: 3}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.797 and -584.839.\nAnswer: -584.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from uuuuexiuxeuuuuie?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 432605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.18 and -284\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 29*r**2 - 21*r - 200. Let y be k(28). Sort y, -18, -1 in decreasing order.\nAnswer: -1, y, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1200 and 1473975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8348189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r + 2*q = 34*r - 22*r + 15, 3*r - 1 = -5*q - 4 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 12469 = 3*l, -3*a + 2791 = -l - 4684. What is the remainder when 2502 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -11*g - 24. Let a be 238\/21*(-3)\/2. Is z(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1544.999994126 - 1545. Round c to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 0.4, -0.3, -1, -78?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -52400*g**2 + g - 5. Let n be z(5). Round n to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9}. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-86 - (2 - -26 - 9 - 8))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 2*j**3\/3 + 7*j. Let b(g) be the third derivative of 0*g**4 + 0*g + 0 - 1\/60*g**5 + 0*g**3 + 5*g**2. Give l(b(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 28, 0.32, 0.189 in ascending order.\nAnswer: 0.189, 0.32, 1\/3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (6 + -3 - -9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/(-63))\/(1\/7). Suppose 0 = -2*v - 2*v - s*g + 23, -3*v - 5*g = -31. Solve -5*b + d + 2 = 0, b = 2*b + v*d + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*p + p. Suppose 0 = -3*j - p*j + 35. Suppose 3*m - m = 2. Solve 2*l + j = -m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -62*-5*4\/8. What is the third derivative of -297*t**2 + d*t**2 - 19*t**2 + 3*t**5 wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2144757053?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*d**3*w + 4*c*d**3*x**2 + c*d**2*w + 4904*c*w*x**2 + 3*c*w*x + 2*d**3 - d*w*x - 2*d*x**2 + 1528*w*x wrt x.\nAnswer: 8*c*d**3 + 9808*c*w - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199731005?\nAnswer: 5, 39946201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2009 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4468, 9878, 15288?\n\"Answer: 5410*k - 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**8\/336 - k**5\/60 - k**2\/2 + 2. Let b(z) be the second derivative of p(z). What is the third derivative of b(l) wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/451 and -8\/37.\nAnswer: 16687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 15. Solve -6 = w - k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**3 - 1631*a**2 + 1934*a - 45450. Give h(-409).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7661, -7665, -7673, -7685, -7701, -7721?\n\"Answer: -2*n**2 + 2*n - 7661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2. Let d(a) = 4*a**2 - 16*a. What is d(b(x))?\nAnswer: 4*x**4 - 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -9, 37 in descending order.\nAnswer: 37, 3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 + u**2 + u + 1. Let o be b(0). Let x be (2 + o)*(-24)\/(-18). What is the greatest common factor of x and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 2*o**2 - 7*o + 5. Let t(b) = -2*b**3 + 4*b**2 - 15*b + 11. Let j(g) = -6*t(g) + 13*v(g). What is the units digit of j(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9000 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*k = -d + 23*k + 9251, -5*d + 2*k + 46183 = 0. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k - 9. Let t be g(-9). Solve 5*q - 4*q - 3 = t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2 + 1149*x - 29198 = 0. What is x?\nAnswer: 26, 1123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-6))\/((-4)\/52848).\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/1800 - 7*z**5\/600 - z**4\/12 - 23*z**3\/3 - 11*z**2 - 1. Let w(y) be the first derivative of h(y). Factor w(x).\nAnswer: -(x + 2)*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.4 take away 2674539238?\nAnswer: -2674539218.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -10212110?\nAnswer: -10212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 46\/3*j**4 + 2\/9*j**5 - 272*j - 2312\/9 + 2446\/9*j**3 + 2174\/9*j**2 = 0.\nAnswer: -34, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 + 20*b**2 + 42*b - 118. Determine s(-7).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 83.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 3719.651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66405, 0, -3 in decreasing order.\nAnswer: 0, -3, -66405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 2 - (-1 - -4). Suppose 4*s - 6*s = 4. Let k = 2 - -2. Which is the nearest to y? (a) 3\/2 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 7:11 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 3*f**2 + 2. Let h be a(-3). Suppose h*l - 7 - 3 = 0. Find the first derivative of 4*b**2 + l - 3 + 0 wrt b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 24 = p. Let u(s) = s**3 - 6*s**2 - 2*s + 2. Let h be u(p). Let j(o) = -2*o - 8. What is the remainder when 22 is divided by j(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqnqqqmbqqmmqqggjqq. Give prob of picking 1 g and 3 q.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39\/7 + -241\/42. Suppose -4*u = -4*q + 48, 76 = 5*q - 3*u + 2*u. Suppose 6*z = -2*z - q. Put -3, z, p in ascending order.\nAnswer: -3, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-12) + 12\/(-18))*0. Let v(a) = -3 + 8 + a**2 - a - 2*a**2. Let i be v(q). Sort i, -2, -5.\nAnswer: -5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + (53 - (14 + -5)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 7*g**2 - 5*g - 1. Let z = -5737 - -5731. What is r(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/53976 and -75\/12428?\nAnswer: 12900264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11315128.37 rounded to the nearest one hundred thousand?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*j + 28 = 0, 3*c + 3*j + 9 = -0*j. Factor 0*z - 4*z**2 - 2*z + 0*z**c.\nAnswer: -2*z*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 3116458750*w**2 - 3116458750*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -377 (base 8) to base 7\nAnswer: -513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -14*k - 5*z, -k + 12*z - 18 = 9*z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, e: 2, q: 2}. What is prob of picking 1 p, 1 q, and 2 e?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10676348 to the power of 1\/3, to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {n: 1, w: 13, p: 1}.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -0.2011.\nAnswer: 0.010055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -2*p. What is the greatest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 960, 3465, 7644, 13491, 21000, 30165, 40980, 53439?\nAnswer: 67536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 2*l**3 - 4*l**3 + (-6*l**3 + 3*l**3 + 0*l**3)*(2 - 11 - 9)*((-2 + 1 + 0)*(0 - 1 + 2) + 1 - 1 - 1 - 3 + 4 + 0).\nAnswer: -58*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = 0. Suppose -l + 7 + 11 = q. Let m = l + -6. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4489\/133560 - -27\/742. Calculate the common denominator of u and -46\/81.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 6. What is q(17)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40365, 161410, 363147, 645570, 1008673?\nAnswer: 1452450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 394660868 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p**2 + p. Let u be b(-3). Let g = -189 + 61. Let q = u - g. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63399\/15 - 11\/(660\/(-24)) and 27.\nAnswer: 38043","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/12*4*(-3)\/(-144)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0586 + -0.0586. Put 0.27, 2, w in increasing order.\nAnswer: w, 0.27, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jht when three letters picked without replacement from {j: 1, h: 3, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) + (-2 - (-30)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvk when three letters picked without replacement from {v: 2, k: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1146 - -1117 - -6*((-18)\/3 - (0 - 4))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10996694845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -7. Let a be (-1 + -19)*i\/(-10). Suppose -4*z = -8 - 32. Calculate the greatest common factor of z and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1861 is divided by 463.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*u + 3*c + 173, -5*c = u - 12. Suppose 22 - u = -5*y. Solve -7 = -5*r + 4*f + 5, -3*r - f - y = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2587 and 1079.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from glglololo. What is prob of sequence ggoo?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 - 121\/7. Let k(s) be the third derivative of -s**4\/8 + 35*s**3\/6 + 1235*s**2. List the prime factors of k(p).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1)**(-2\/95)\/(h**(-5)*h**(-1\/6)\/h))**(-1\/24))**42 assuming h is positive.\nAnswer: h**(-24521\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f - 2. Let i be l(-4). Suppose -809 = -14*v + 2033. Let o = -192 + v. Which is greater: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872532?\nAnswer: 2, 3, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 12. Determine c(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 61 + 7. Suppose -8*f + 4*f = -136. Calculate the remainder when f is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7d5708 + 3?\nAnswer: -7d5705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29676 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 4028*y**5\/5 - 1078*y**3\/3 - y + 8641. Find the third derivative of a(j) wrt j.\nAnswer: 96672*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-29\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 15*i**2 - 65*i + 1083. Calculate o(15).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171 + 171.3. Let f be (-1085)\/(-15) + 4\/6. Let k = f - 509\/7. Which is the third biggest value? (a) p (b) k (c) -11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306201 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 7:25 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:18 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -3, 542, 2, 1, 4 in descending order.\nAnswer: 542, 4, 2, 1, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 169369860*k**5 + 234650816*k.\nAnswer: 3387397200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6919 = 2*g - 1313. Let z = -14058\/5 - g. Calculate the common denominator of 9\/7 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 a when two letters picked without replacement from {q: 4, f: 2, l: 2, y: 2, e: 9, a: 1}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(171)*-4)**2 + (sqrt(171)*5*-1)**2.\nAnswer: 102771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 411 and 984345.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffjj when four letters picked without replacement from {j: 3, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -13*d**3 - 2*d**2 - 4*d - 1. Let b be g(-3). Let l be 1*500*b*25. Suppose -i - l = 4*i. Round i to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2030*r**3 + 3*r**2 + 32*r - 34. List the prime factors of h(1).\nAnswer: 3, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = 0, -w = -3*t - t - 56. Let o = w - 31. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z + 12. What is s(11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/15 + -4 - (-2)\/6) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 + (-8)\/(-21). Let n = -15.05 + 0.05. Let q = n + 10. Sort r, q, 1\/8 in decreasing order.\nAnswer: 1\/8, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 737 + -1551. Let h be (-8)\/(-64) + i\/(-16). Does 7 divide h + (-3)\/((-9)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + ((-1 - -3) + 1 + -1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 38, 26, -2, -52?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15557437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 6:13 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 69*a + 4390. Give k(-83).\nAnswer: -1337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 2808828?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12742\/3 - 4248. Let i = -0.6 + -0.4. Sort i, h, -1\/3, 14 in decreasing order.\nAnswer: 14, -1\/3, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of c**5\/15 + 5*c**4\/4 + 28*c**3\/3 + 104*c**2\/3 + 64*c + 228. Factor d(w).\nAnswer: (w + 3)*(w + 4)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/45 + (-72032)\/18. Let s = c + 31953\/8. Calculate the common denominator of s and -2*2\/(-24)*432\/(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2339275?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 - (-27)\/21)\/((-20)\/(-23380)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from kqqxrqkkqqqixqqqrrz?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20411 (base 5) to base 12\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2134\/(-88))\/97*1*68.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*w)*(24 + 7*w**4 - 24 - 2*w**4 + 0*w**4 + w**4 + (w**3 + 2*w**3 - 2*w**3)*(-6*w + 2*w + 2*w) - 4*w**4 + 2*w**4 + 3*w**4).\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let x be (-35)\/(-3) + o\/(-3). Suppose -5*p - 4*j + 29 = 0, -p - 5*j = -2*j - 8. Solve 9 + x = -p*i - l, -4*i - 16 = -2*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2800) - ((sqrt(2800) - (sqrt(2800) + sqrt(2800)*1)) + sqrt(2800)))\/((sqrt(24)*-2)\/sqrt(6)).\nAnswer: -5*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from srqsqnqssqzqx.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.38 + -0.08. Let h = 3.98 + -4. Let o = h - -2.02. Which is the nearest to -1? (a) y (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 804275333*x**2 - 5073507*x - 42?\nAnswer: 1608550666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709946654 to the power of 1\/2, to the nearest integer?\nAnswer: 26645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from gydrtyv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -1\/8*u**4 - 2\/3*u**3 - 1\/120*u**6 - 3*u**2 + 0 + 0*u + 0*u**5. Let c(r) = 3*r**3 + 7*r + 9. Give 3*c(g) + 7*y(g).\nAnswer: 2*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.090094*41\nAnswer: 3.693854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18.182 in 3, 0, 0.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -19 (b) 1\/4 (c) -0.1 (d) 1\/5 (e) 2\/13721 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13770353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*r + 11 = 0, -r - 3 = 2*r. Suppose 0 = b*w - 4*l + 6, -l - 2 = -3*w - 0*l. Solve 4*s = 8, w*d + 2*d + 10 = -5*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43.15 from -5736153.\nAnswer: -5736196.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 61*n**2 + 5*n + 10. Let p(l) = -456*l**2 - 38*l - 76. Let s(z) = -5*p(z) - 38*u(z). Let o(m) = -6*m**2. Give s(o(a)).\nAnswer: -1368*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42\/5 of a kilogram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022021279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1222.6 - 1223. Let p(z) = z**2 - 13*z + 16. Let t be p(9). Which is the smallest value? (a) t (b) f (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 8*c**2 - c - 11. Let i be m(-8). Is (i - -10)*(2 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v - 13. Suppose 50 = 3*n - 5*m, -n - 2*m + 0*m = -v. Suppose 4*q + 1 = -n, -5*k + 23 = 3*q. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from wwgkkgkywkgwwkw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-528))\/((-1)\/3)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/11))\/((q*((q\/(q\/q**(-5\/6))*q)\/q*q)\/q)\/q)*(q*q**0*q)**28 assuming q is positive.\nAnswer: q**(3829\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 d when three letters picked without replacement from {m: 8, o: 3, y: 2, d: 3}.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.026? (a) -21\/5 (b) 3\/8 (c) -1709 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/8*14*2\/(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 462, 2868, 9160, 21276, 41154, 70732, 111948?\n\"Answer: 323*c**3 + 5*c**2 + 130*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 1 = -3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029639197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**4\/5 - 11152*j**3\/5 + 22238*j**2\/5 + 323352*j\/5 - 66888 = 0.\nAnswer: -5, 1, 6, 5574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 216720 divided by -28\nAnswer: -7740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000642 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309 = -62*p - 497 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -1a?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4276*g + 6476*g - 3607*g.\nAnswer: -1407*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8 + p + 7 + p - p. Let k be n(0). What is the greatest common divisor of k and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 57, -3 in ascending order.\nAnswer: -3, 3\/4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/187710 and 26\/93855.\nAnswer: 187710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -3)\/(117\/(-15)*(-10)\/(-4)). Which is the fourth smallest value? (a) u (b) 2\/3 (c) 2 (d) 1\/4 (e) -0.102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41774*o*r + 83*o + 273 wrt r.\nAnswer: -41774*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 93.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/4, 74\/3.\nAnswer: -3, -1\/4, 74\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - 4*k**4 + 2*k**4 + 2*k**2)*(22*k + 2*k - k).\nAnswer: -23*k**5 + 46*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67.48 + -0.52. Let q = -1557965 - -1557896.99942. Let n = r - q. Round n to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2525330*z**3 - 5050693*z**3 + 2525348*z**3.\nAnswer: -15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 26 = -8*y + 5*y, -2 = -3*y + 2*u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1967\/65 or 72?\nAnswer: -1967\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44458 by 525.\nAnswer: -44458\/525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/14993260 and -49\/668.\nAnswer: 14993260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l**5 + 4456*l**4 - 164812*l**3 + 1650296*l**2 - 3173120*l - 1247232 = 0. What is l?\nAnswer: -406, -1\/3, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13.86 and -26.\nAnswer: -360.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.27207 greater than or equal to 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46348481, -92696964, -139045447, -185393930, -231742413?\nAnswer: -278090896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -560 divided by -20?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 85*t**2 - 48*t + 94. Let w be g(-43). Let x be (-412)\/w - (278\/(-6) + 0). Calculate the greatest common factor of 2 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*d + d + 8, -2*v = -3*d - 20. Let r(n) be the first derivative of n**4\/4 + 2*n**3\/3 - n - 1. Let l be r(-1). Solve l*g + v = 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - 0*j - 5*s - 2, j + 6*s = s + 19*s + 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -174. Let j = k + -51. Is (-165 + 6\/3)*(7 - j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 465723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - (8 - (1 - 1 - -8))) + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 4. Let v = -53\/150 - -1\/50. Which is the nearest to v? (a) -0.3 (b) -0.1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -391013, -3, -1, 5 in descending order.\nAnswer: 5, -1, -3, -391013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n. Let j(o) = -5*o. Let f(p) be the second derivative of 11*p**3\/6 + 3*p. Let u(t) = -2*f(t) - 5*j(t). Determine u(r(b)).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 128, 193, 278, 389, 532?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3124 is divided by 115.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3\/j)**(-31)*(j\/(j\/j**(-1)))**8)**(-16) assuming j is positive.\nAnswer: j**1120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -8.7. Let y = k + -0.3. Let x = -3.21 + 0.21. Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -11*j**7\/7 - 7*j**4\/4 - 9*j - 3. Find the third derivative of p(n) wrt n.\nAnswer: -3960*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millisecond in microseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2251*v + 2129*v + 1220 = 0 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/4 (b) -2\/3 (c) -0.79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*f = -0*z + 16, 2*z - 5*f = -8. Let x be (1 + 0)*3\/(-3). Let p be ((-2)\/x)\/(64\/(-24)). Sort p, 1, z in decreasing order.\nAnswer: 1, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-4))\/((-33)\/(-77)*(-35)\/30)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576760548 divided by 1092.\nAnswer: -528169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let s(w) be the second derivative of -w**5\/20 + w**4\/12 - w**3\/6 - 2*w**2 - 2*w. Let m be s(0). What is the units digit of v(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4184*c**3 + 10*c**2 + 124446*c?\nAnswer: -25104*c + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22544*g**2 + 12*g - 1467945 with respect to g.\nAnswer: -45088*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**3*y**2 + 847*w**3*y + 809*w**2*y**2 - 3*w**2 + w*y**2 wrt w?\nAnswer: 6*y**2 + 5082*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5293 + 5196.5. What is y rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 11*f**2 - 9*f + 12. Let q be i(-10). Let m(x) = -2*x + 475*x**q - 474*x**2 + x - 3. Give m(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**7\/210 - z**6\/30 - z**5\/10 + 3*z**4\/2 - 9*z**3\/2 - 40*z**2. Factor r(n).\nAnswer: (n - 3)**2*(n - 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c - 21. Let r be (0 - 21\/(-28))\/(1\/16). Let y be h(r). Which is smaller: y or 64?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, 8, 4 in decreasing order.\nAnswer: 8, 7, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -9)\/(0 - 2). Let z be (0\/(-6))\/((-3)\/(-3)). What is the third derivative of z*o**6 + o**2 + o**6 - 3*o**6 + g*o**6 wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 9*a + 5. Suppose -7*p + 5*t = -3*p + 9, 0 = -p - 4*t + 24. Let c be g(p). Solve c*d = 5*d - z - 8, -14 = 2*d + 3*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241\/((-182196)\/(-24138)) - ((-81)\/(-42) - 2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1633 + 5036\/3. Which is greater: r or 45?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -124\/29 or -0.16?\nAnswer: -124\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -2\/15, -0.2, -7, 14.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - d**2 - 2*d. Suppose 2*b - 16 = -4*q, -3*b = -3*q - 2 - 4. Let l be t(q). Let k be 2\/(3 - 2) + -1. Solve m + 3 + k = l for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16933181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 211283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1613547705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4*k - 5. Let z(a) = -a + 2*a + 1 + 0*a. Give r(m) + 3*z(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.4014 and 0.07.\nAnswer: 2.4714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8887345 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*z - 2*h - 26, 2*z = -2*h + 24. Suppose -z = -2*u - 2*u. What is the biggest value in -3, u, 1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2. Let n be (-89)\/445*0\/2. Let x(f) be the second derivative of 0*f**2 + 4*f + n + 1\/6*f**3. Determine m(x(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a - 90*a**2 - 97*a**2 + 301*a**2 - 8*a**3 - 105*a**2 as g + y*a**3 + k*a**2 + f*a and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5520039426 and 1111.25.\nAnswer: 5520040537.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 x when three letters picked without replacement from xkiikxkkyxixyyxy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3040 divided by 10\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1310 divide 2585940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/2, 19, 9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-204)\/(-136))\/((-9)\/3)*4\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -868 - 226*v**3 - 876 + 1744 + 225*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/68 + (-48439)\/(-10030)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-14) - (-280)\/(-49). Let v be (-8)\/h - (-32)\/12. Differentiate 22 - 17 - v*r**4 - 2*r**4 wrt r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*h - 33 - 59, 0 = -a - 5*h + 51. Solve 31*r = a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + 4 + 75)*(1 + 2 + 0)*(-246*j**2 - 11*j**3 + 246*j**2) in the form b*j**2 + c + x*j + f*j**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**6\/120 + g**5\/30 - g**4\/24 - g**3\/3 + g**2. Factor i(b).\nAnswer: (b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.7 + 4.7. Let u = -119752.6 + 119753. Let d = -8 - -8.3. What is the closest to -1 in u, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/9*-3)\/(-6 + 15). Factor 0 - w*l - 2\/3*l**2 - 2\/9*l**3.\nAnswer: -2*l*(l + 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 370 divide 963765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 1609?\nAnswer: -1606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2052636 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/(-30) - ((-150)\/(-4) - 2). Let g = -107\/3 - u. Which is the nearest to 2\/5? (a) -3 (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/49 and -34\/441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 11:46 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2210827\/1530 + -24472\/17. Let u = -2\/45 - x. Calculate the common denominator of u and ((-416975)\/102640)\/(-2 + 2 + -2 + 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 1. Suppose v - 4*j - 11 = -5*j, 4*v - 36 = 4*j. Suppose -2*x = -3*b - 11, -3*b - 5*x = -v - 7. What is s(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-118)\/472)\/(1\/(-210088) - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12045298?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-382 - -392 - (12 + -1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 58. Put y, -1, 1 in increasing order.\nAnswer: y, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8700 - 129*k + 8700 to t*k + l and give t.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 6 = -5*d. Let o be ((-4)\/d)\/(13\/39). Suppose -4*q + 1 = -7. Do q and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 o when three letters picked without replacement from royuyyowywo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*i = 386*i - 21 - 51. Solve -10*f + 14*f + 3*o = -29, -3*f = i*o + 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1019118298 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 57?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8576.08 decades?\nAnswer: 857.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 2*l**3 + 11*l - 3\/2*l**2 + 0. Find the first derivative of u(y) wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9560144 smaller than -9.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = 3*v, 4*p - 2*v - 70 = 0. Solve 3*s + 3*b + 6 = 0, s - 5*s + b + p = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((3\/64)\/3). What is the units digit of (-2)\/(-7) - (-3 + d\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 51\/(-6))\/(1\/6). What is the derivative of -37*d**3 - 170*d - 5 - 89 + 8*d + q*d**3 - 26 wrt d?\nAnswer: 6*d**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f. Which is the nearest to 3? (a) -0.5 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-291)\/30 - -29 - -10.\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 53. Calculate the remainder when 64 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10 - 15 = 0. Suppose -3 + 18 = g*u. Suppose -8 - 7 = -u*i. Solve 3*d = i*j - 2*d - 25, -5 = 5*d for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -369, -716, -1045, -1356, -1649, -1924?\n\"Answer: 9*q**2 - 374*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 8) + 6 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 61*n**2 - 326*n + 45. Let i be d(25). Is i < -1227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18411579*b**2*r**3 + 471*b**2*r**2 + 2*b*r**2 - 7*b + 161*r**2 wrt r.\nAnswer: 110469474*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 6, y: 1, n: 2, f: 1}. Give prob of picking 1 n and 2 r.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16406, -2, -5 in descending order.\nAnswer: 16406, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -569958 - -3989708\/7. Let h = -1 + -8. Let o = h - -5. Which is the fourth biggest value? (a) -1\/5 (b) i (c) o (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + 1*sqrt(153) - sqrt(153) - sqrt(153)) + sqrt(153))*-5*6)**2.\nAnswer: 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3754.737 + 0.30426.\nAnswer: -3754.43274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/((-3)\/(-8))*(99157 - 99182)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/(-3))\/((-10)\/24))\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w - 3*v = -17, w + 4 = 2*v. Suppose 7 = w*y - 3. Suppose -4*c + 0*p + 5*p = -86, -122 = -y*c - p. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r + 4*r**2 - 12*r - 4*r.\nAnswer: 4*r**2 - 11*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:15 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -550 + 553. Let i = 201 + -590\/3. Do i and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) - (-45)\/2. What is the highest common factor of r and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2607*f = -2629*f + 66. Let s(w) = -21*w + 43. Determine s(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -31*q**2 - 4*q + 6. Let s(z) = 32*z**2 + 5*z - 5. Calculate 3*s(d) + 2*t(d).\nAnswer: 34*d**2 + 7*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvxvxv. What is prob of sequence vxvv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-5))\/((-21)\/(-105))*(-2)\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -3*i**4\/8 + 7*i**2. Let u be b(-12). Let s be u\/30 - (-3)\/(15\/2). Solve 0 = 2*z - 10, -z - s = -2*c - 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 4*h**3\/3 + 4*h**2 + 4*h - 3. Factor k(p).\nAnswer: 4*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 12 + 0 - 8 + 460*s**2.\nAnswer: 460*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -328, -666, -1004, -1342, -1680?\nAnswer: -2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, d: 2, l: 1}. Give prob of sequence dr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116244 and 19476.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 20*n**2 + 6*n + 5. What is the remainder when l(-4) is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 7 = -5*q. Let m be 90\/(-12)*q\/6. Suppose -p + 3*p + 4 = -3*w, -5*p + 2*w = -28. Sort -2, m, p in ascending order.\nAnswer: m, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + 12. Suppose y = 4*c + 101, 0*c - 4 = c. Calculate the highest common divisor of j and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -380 and 46.\nAnswer: -17480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2676765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 106*y - 771. What is u(7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5084 = -12*i + 51*i + 85*i for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/(5 - (-2 - -6)). Suppose 0 = g + 2, 2*g + f = -3*d + 5*d. Solve 3*y - d = -0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 231, 294, 381, 498?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.38713 - -0.08713. What is the biggest value in i, -13, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(5\/3)*h*h*h**(4\/11)\/h*h)**(4\/13))**43 assuming h is positive.\nAnswer: h**(22876\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 7*u**2 - 77*u + 15. Let o be g(-13). Suppose 4*f = o*l - 0*f - 6, -4*l - f + 21 = 0. Calculate the remainder when 80 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121552871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 41, 155, 463, 1061, 2045, 3511, 5555?\n\"Answer: 16*n**3 + n**2 - n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 1:14 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394502021?\nAnswer: 394502021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7 + -6.6. Let q = d + 1.900000338. Round q to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43554104819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*j = 31*j - 310900 - 2207412. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9718 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5\/2 - 7*o**4\/2 + 59*o**3 + 92*o**2 - 672*o = 0.\nAnswer: -14, -4, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1549 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**3 - 8. Let c(a) = 8*a**2 - 13*a. Let g(r) = 2*r**2 - 3*r. Let p(o) = 6*c(o) - 26*g(o). Calculate z(p(l)).\nAnswer: -48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179684.873 + -179816. Let b = -130.919 - 0.081. Let f = m - b. What is f rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227768551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 163 + -68 + 15\/1 and 40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21 and 17.6408.\nAnswer: 38.6408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -0.3. Suppose 3 = -3*k - 9. What is the nearest to 1 in 2\/3, k, h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7204 bigger than 7202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + -3 + 2 + -5 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 61*j**2 + 27*j - 161. Let n be w(-62). Do 2011 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63450 to the nearest one thousand.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 182305619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -44*k + 6062. Determine u(130).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 1200332121?\nAnswer: -1200332122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-473 - 511 + 1210)*(-4 + 4 + 2*v).\nAnswer: 452*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 1, z: 2, p: 4, y: 3}. Give prob of sequence pyv.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*i + 69 + 269*i - 23*i - 133 - 83 wrt i.\nAnswer: 253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/((k**15\/k*k)\/k)*(k\/k**(2\/7))\/k)\/(k**(-3\/2)\/k)**(-2\/35) assuming k is positive.\nAnswer: k**(-80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-2))\/(276081\/(-1670644))?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 11*r - 10*r - 12*i, 5*r + 4*i = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - -71 - (0 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33328, 33327, 33326, 33325, 33324, 33323?\n\"Answer: -v + 33329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1110 and -113\/1110?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11310 - -3443014?\nAnswer: 4004324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 120107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 5, m: 7}. Give prob of picking 2 m.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 2*a + 14. Let o(d) = 19*d**2 + 12*d + 83. Let w(c) = o(c) - 6*z(c). Let b(r) = 4*r**2 + 6*r - 2. Give -b(j) + 3*w(j).\nAnswer: -j**2 - 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 17*b**4 - 2 + (-1 - 4 + 4)*(-2*b**4 + b**4 + 2*b**4) + (b + 2*b - b)*(-4*b + 3*b + 0*b)*(67*b**2 + 483*b**2 - 7*b**2).\nAnswer: -1104*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 18*g**3 - 6*g**2 - 6*g - 7. Let f(o) = -37*o**3 + 13*o**2 + 13*o + 15. Determine 13*d(s) + 6*f(s).\nAnswer: 12*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10178 - 10148. What is the nearest to 0.3 in -2, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25500 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 3*n)*(-4 + 4 + 3)*(13 + 8 - 4).\nAnswer: 153*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -6.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -12585000 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 1165*f**2 - 4*f + 942*f**2.\nAnswer: -223*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102033120230223 - -11?\nAnswer: -102033120230212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 4*n. Suppose -3*g - 5*o + 0 = 4, 0 = 4*g - 3*o - 14. Let x be q(g). Suppose -12*i + 45 + 27 = x. What is the closest to 0 in 3\/5, i, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -81 - (8 + 14 - -2 - -6).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -321 + 127 + 114 + 102 + 2*j**3 to the form l*j**3 + h + c*j**2 + r*j and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -h - 29, 4*n - 20 = 14*h - 10*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -3 - (-12 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2114748 divided by -428.\nAnswer: -4941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54033*y + 48*y**3 - 54032*y + 162090*y - 21*y**2 + 21*y**2 - 54025*y.\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 92 = 2*k. Suppose -4*f + 83 = 5*s - 25, 3*f - 5*s = k. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.9 - -18.8883. Let p = g + -296.9883. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-5))**(-16\/3))**29 assuming x is positive.\nAnswer: x**(2320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 0*z - 173\/2*z**2 - 99 - 20\/3*z**3. What is the second derivative of h(g) wrt g?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/8*300\/2160*12\/15?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -763*h. Let r(l) = 1144*l. Determine -7*p(g) - 5*r(g).\nAnswer: -379*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**9\/3024 - f**6\/60 + 5*f**3\/6 - 3*f**2. Let j(y) be the first derivative of z(y). Find the third derivative of j(s) wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -155 (b) -15\/7 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, -42, -80, -130, -192, -266?\n\"Answer: -6*l**2 - 8*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33 + 149*b + 29 - 39*b - 35 + 7 with respect to b.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -212382.8 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -5.8. Which is the biggest value? (a) z (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six ninths of a hour in seconds?\nAnswer: 18400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1103, 4385, 9853, 17507, 27347, 39373, 53585?\nAnswer: 69983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1323 + 10?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 k when two letters picked without replacement from kmmkkkkkkkkmmkkmkm?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294390, -1177566, -2649532, -4710294, -7359858, -10598230?\nAnswer: -14425416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 f when two letters picked without replacement from frrr?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006977 rounded to 4 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 9*q**2 + 19*q + 106. Determine l(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -24*u - 625. Let q be w(-27). Solve -13 = 10*c - q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*w**2 + w - w)*(3 - 2 + 1)*(26 - 8*w - 26) to z + v*w**2 + m*w + y*w**3 and give y.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, t: 6}. What is prob of sequence aa?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - k = 235, 0 = 3*g - 2*k - 5 - 143. Suppose -114*o + 128*o = 224. What is the remainder when g is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -3 - 8 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 463 - 219. Let z = k + -246.47. Round z to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35305816, -70611633, -105917450?\nAnswer: -141223267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*g - 1. Let z be -2 - 0 - 6\/g. Solve 3*f - 15 = -z*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 120027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 505411 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, 205 = -4*i - 5*l + 801. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2662 = -5*v - 417. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*r = 0, 0 = -d + 5*d + 2*r. Solve d*h + 5 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**3 + 4*n**3 - 8*n**3 + 3*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qiqk when four letters picked without replacement from {k: 6, n: 1, q: 4, i: 7}?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 156, -2, -1\/6, -6, -1.9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 576 = 77*c - 61*c. Let n = 1 + 5. Suppose 0 = -2*u + n*u - 16. Calculate the greatest common divisor of u and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -851 + 2316. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39265*j**3 - 119503*j + 1 wrt j?\nAnswer: -235590*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 1 + 4*n**2 + n**4 + n**3 - 4*n**2 as r*n**2 + c + x*n**3 + o*n + i*n**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*z + 113 + 78*z - 125 - 122*z.\nAnswer: -129*z - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v + 0*v**3 - 9*v + 7*v + 6*v**3 - 2*v**4 - 7 as f*v**4 + q*v**3 + r*v + x + c*v**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -119494*p. Let d(j) = 5526*j. What is d(v(w))?\nAnswer: -660323844*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16827 and -0.29265.\nAnswer: 4924.42155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00122261589 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 2\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 460463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -418 - -2929\/7. What is the third smallest value in p, 2\/11, 0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cocococcocooc. Give prob of picking 3 o and 1 c.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 178, 181, 208, 271, 382, 553, 796?\n\"Answer: 2*y**3 - 11*y + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11937 divided by -104?\nAnswer: 11937\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 5:01 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -214*(6\/(-60))\/(7\/(-70)). Which is smaller: i or -211?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000096332 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533353.\nAnswer: 533353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 90964 = 5*d, -228*d - 90932 = -4*y - 229*d. What is the ten thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 3*s - 27, -4*s = -x + 6. Let i = 16 - x. Suppose -2*r + r = -i. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 6. Let i be k(17). Suppose 2*y + 1 = -i. Let n be (9\/y)\/((-12)\/(-32)). Is n > -16\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30499 + 15249 + 2*p**3 + 15234 + 8*p**2 to v + f*p + o*p**3 + u*p**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 37051*t**2 - 2223061*t + 56. What is c(60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a234 (base 11) in base 3?\nAnswer: -1102201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.653314 to 2 dps.\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321104 (base 5) to base 13.\nAnswer: 4ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -181*d - 282 - 261 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/p**(-5)*p))**41*(((p\/p**(-3))\/p*p*p*p)\/p)**(-34))**(12\/13) assuming p is positive.\nAnswer: p**(-384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6939, -13276, -19615, -25956, -32299, -38644?\nAnswer: -44991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5283 and -7?\nAnswer: -36981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/6*(-6)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3484073140 to the nearest 100000.\nAnswer: -3484100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184740345*x**3 - 2*x**2 - 893276348*x wrt x.\nAnswer: 1108442070*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 10320220222?\nAnswer: 10320220231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223531.\nAnswer: 7, 11, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*n)**(-46)*(n**(2\/7))**17)**(-21) assuming n is positive.\nAnswer: n**864","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 596095 and 476876?\nAnswer: 2384380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n. Suppose -1394 = -19*v + 31. Let y(g) = -v*g - 222*g - 196*g - 37*g + 41*g. Determine h(y(d)).\nAnswer: 978*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29806, -59289, -88772?\nAnswer: -118255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -5 (b) 0.19 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 4. Let i be z(3). Suppose -2*d - 39 = -3*f, -d + i*d = 0. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 10) + 56 - (35 - 27)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -210000 (base 3) in base 11?\nAnswer: -476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 - 9.85. Let r = n - -10.02. Round r to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -6. Let p(w) = w**3 + 9*w**2 - 11*w - 10. Is p(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 15 = 5*g, 14255*u - 14251*u - 4 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.062*-0.2\nAnswer: 0.0124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.3646 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4170 and 7.\nAnswer: 29190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2256 (b) -0.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.22 + 60.22. Let b = 58.73 - p. Round b to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001621897895 to seven decimal places.\nAnswer: -0.0001622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -14, 915 in ascending order.\nAnswer: -14, 4, 915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 90, -1\/4, -11, 0.135, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -184 divided by -92.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-346)\/8 - 2)\/((-140)\/2240). Is 725 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d**2 - 5. Let s(f) = -2*f**2 - 2. Let n = -68 + 57. What is n*s(g) + 4*m(g)?\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 98258, 197960, 297662, 397364, 497066?\n\"Answer: 99702*f - 1444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100100011011110000111001 + 0?\nAnswer: -10100100011011110000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 77*h + 1231. What is s(93)?\nAnswer: 2719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1953)\/54)\/(((-15)\/60)\/(3\/2)) is divided by 85.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.010526 centuries to decades.\nAnswer: 30.10526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -11*w**5\/20 + 4730*w**2. Let a(z) = z**2. What is -a(n) + t(n)?\nAnswer: -34*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 b when four letters picked without replacement from {b: 6, l: 12}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b**2 - 19*b**2 + 18*b**2 - 2)*(2 + 3*b**2 - 2).\nAnswer: 21*b**4 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times 0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-268)\/(-737)*44\/8. Solve -5 = 5*h + 3*c, 2*h + 0 + g = 2*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506353951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1398)\/18 + ((-4)\/(-6) - 0). Let l(h) = -91*h**2 - 77*h + 77. Let q(n) = 7*n**2 + 6*n - 6. Give o*q(x) - 6*l(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of 23*m**7\/210 - m**6\/24 + 509*m**3\/6 + 251*m**2. What is the first derivative of d(f) wrt f?\nAnswer: 92*f**3 - 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55606 - -438?\nAnswer: -55168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 10360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/104615 and -59\/552965.\nAnswer: 3870755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 118*p**2 + 685*p + 8. What is j(-6)?\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/17)*n**(-6))\/(n*n*(n\/(n**(-2\/3)\/n))\/n)**(-2\/83)*(n\/n**1)**(-2\/39)*(n\/((n\/(n**(-5)*n)*n)\/n*n))\/((n\/(n*n\/n**4))\/n*n*n) assuming n is positive.\nAnswer: n**(-63619\/4233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -453 at least as big as -451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*x + 5 - 15, -30 = -5*x + l. Let p(s) be the second derivative of 0*s**2 + s + 0*s**3 + 0*s**x - 1\/105*s**6 + 0 + 0*s**4. Factor p(t).\nAnswer: -2*t**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**4)\/y)**(28\/3) assuming y is positive.\nAnswer: y**(112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g**5 - 2*g**4 - 2*g**3*t - 2*g*t + 39*t wrt g.\nAnswer: -120*g**3 - 24*g**2 - 12*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9d05 (base 16) to base 10\nAnswer: 40197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/12)\/(3\/42). Let j = 1 - o. Let t(x) = -344*x + 2407. Let d be t(7). What is the closest to -2\/7 in -0.01, j, d?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 2*z**2 - 1. Let l be t(3). Let y(x) = 35*x - 8. Let w be (3\/3 - -2)*48\/36. Let s be y(w). Calculate the greatest common factor of s and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 6. Let u be (3\/(-6))\/(2\/20). Let z be d(u). Let p = z + -17. Solve -5*g - 28 = -3*y, -2*y + 5*y + p = -g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = 60 - 78. Factor 0*u + 1\/6*u**w - 1\/6.\nAnswer: (u - 1)*(u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1090799.45 rounded to the nearest 100?\nAnswer: 1090800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34532564 (base 7) in base 11?\nAnswer: 1792083","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 91968 or 92040?\nAnswer: 92040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5329 is divided by 1401?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 195\/19 in 96, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 0) + -9 + 12 + (39 - -3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 35375212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*u**3 - 133*h**3 - 4*h*u**3 - 3*u**3 + u**2 wrt h.\nAnswer: 6*h*u**3 - 798*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -124? (a) 67 (b) 0.03 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 17 = -4*u - 49, 3*l - 5*u = -14 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from tdmtdtmdt.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 9. Let k be h(-15). Solve -k = 30*n - 33*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p - 242 = 119. Which is smaller: -18 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.56 - 11.44. Let q = 7 + -7.1. Which is the closest to q? (a) -1\/5 (b) f (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 6 = 4*v. Let g = -3 - v. Solve 0 = 5*p - 5*d, 3*p + g = p + 3*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244089137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -1005632.\nAnswer: -11\/1005632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 7. Suppose 0 = -2*c - v - v - 8, 5*v + 13 = -4*c. Let k be z(c). Suppose k = -5*l - 41 + 641. Calculate the greatest common factor of l and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -427.8 + 438. Which is bigger: 2\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 - 141?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 4*i**2 + i**2)*(2 + 3 - 7) + 65533*i**2 + 247*i - 32732*i**2 - 32703*i**2 + 0*i - i**2 + 0*i as s*i**2 + j + h*i and give s.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from daadauyamwauu. Give prob of sequence yd.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 3 - (-5)\/((-155)\/(-527)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -7*i**3 + i. Suppose -r + 1 - 2 = 0. Calculate o(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.567916 rounded to 1 decimal place?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -112 - -117 - (1 + -14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + sqrt(832) + -1*-6*sqrt(832) + 1 + -6*((sqrt(832) - 5*sqrt(832)) + sqrt(832))*-5)**2.\nAnswer: -1312*sqrt(13) + 5594369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53000500 - -32391553. Suppose -4*x + 5*o + 37526856 = -7*x, 0 = -5*x - 5*o - 62544750. Let c = x - i. Round c to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7055 by 1411.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 2*v = 3*a + 4, -5*a = 3*v + 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d**3 + 5*d**2 + 5*d - 5. Let u(p) = -5*p**3 - 2*p**2 - 2*p + 2. What is 2*f(v) + 5*u(v)?\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 37. What is the remainder when 443 is divided by t(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 662 divided by 53.\nAnswer: 662\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 50, 69, 38, -91, -366, -835?\n\"Answer: -8*r**3 + 23*r**2 + 6*r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fuffuffuuf. What is prob of picking 2 f and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 313084 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-46)*(-26)\/(-4). Let p = 65409 + -30088161\/460. Let f = p - h. Find the common denominator of f and 89\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1810 and 46698?\nAnswer: 233490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1.04\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**18*h**(-2\/7) assuming h is positive.\nAnswer: h**(124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + sqrt(152)*-2)\/sqrt(8) + sqrt(114)\/sqrt(6)*1 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 568289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 8:39 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 3*r - 7. Let m(c) = 24*c + 25. What is the remainder when m(3) is divided by b(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 358\/5 - 72. Let n = -2.87 - -0.57. Let w = n + 2.2. Which is the nearest to y? (a) w (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -133.3.\nAnswer: 533.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = -2*w. Suppose -4*x + 3*n = -1 - 2, 0 = -w*x - 4*n + 27. Solve 0 = h + 5*t - 10, -5*h = 4*t - 5 - x for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 1950.7.\nAnswer: 17556.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.9. Let h = -4.1 - -7.1. Which is the biggest value? (a) g (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37926890*c**2*n**3 + 100753780*c**2*n**2 - 2*c*n**3 wrt n?\nAnswer: -227561340*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 14. Let k = x + -9. Solve 0 = -4*v - 8 - k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 12, -3*c + 2 = 3*i + 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) 9 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25499263, -25499262, -25499261, -25499260, -25499259, -25499258?\nAnswer: -25499257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.6. Suppose 89*p - 130*p = -24477. Let f = p - 577. Which is the closest to f? (a) m (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -b + 10, 2*g + 8 = 4*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39226, 39030, 38714, 38278, 37722?\nAnswer: 37046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1394603\/152 + -9175. Find the common denominator of ((-357)\/(-784))\/(3\/6) and d.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 12 + (-1 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269709 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**3 + 115*y**2 + 189*y - 507. Let l(x) = -22*x**3 - 342*x**2 - 568*x + 1520. Let q(g) = 8*j(g) + 3*l(g). Solve q(n) = 0.\nAnswer: -6, 7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21d6c (base 16) to base 2\nAnswer: -100001110101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86141 (base 10) to base 12.\nAnswer: 41a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 3*c + 2*c)*(27*c - 14 + 43 - 30*c).\nAnswer: 3*c**2 - 29*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*n - 555 = 57*n. Let i = 248 - n. What is the greatest common factor of i and 1449?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1418 + 1414. Which is smaller: -26\/3 or h?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 = 4*w, -w - 6 = -3*q - 4. Suppose 0*t - 20 = w*t. Put 5, t, -3 in decreasing order.\nAnswer: 5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10472 is divided by 5229.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 divided by 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 - 12*i - 6. Give k(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4 = -4. Suppose -2*t + 20 + 20 = x. Suppose 0 = 6*a - 16 - t. Solve -a*k + 25 = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 341063877\/13 = 26235683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3a799b (base 12) to base 15\nAnswer: -141962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25201.79 decades to months.\nAnswer: 3024214.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 742\/(-168)*-20 + (8 - 6\/(144\/152))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13175 - -13306. Solve 139*z - x*z = -64 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -305 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18.174 or 3756?\nAnswer: 3756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -227*0.012.\nAnswer: -2.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 0*f**5 - 2 + 0*f**4 - 3*f + 0*f**2 + 4\/3*f**3 + 2\/3*f**6. What is the third derivative of l(r) wrt r?\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1975213 at most as big as -1975214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/7)\/c)\/((c**2*c)\/c*c)*(c\/((c*c\/c**(2\/9))\/c*c*c))**46 assuming c is positive.\nAnswer: c**(-5431\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((255\/(-34))\/5)\/((-3)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16688 and 112.\nAnswer: 16688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -798 + 803. Solve -22 = 2*k + r*a - 5, 3*k + 2*a - 2 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 - 165*l - 522.\nAnswer: 3*(l - 58)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 k, and 1 c when four letters picked without replacement from kfnlnfckukn.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 + 9*y**4 - 3*y**2 + 1 + 2*y**4 - 3*y**2 + y**3 to w*y**3 + b*y**4 + k + r*y + g*y**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -15. Let j = t - 11. Sort 0.3, -2, j in descending order.\nAnswer: 0.3, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3668*l**2 + 22 - 977*l**2 + 364*l**2.\nAnswer: -4281*l**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c + 11 - 2*c + 17*c - 34 - 205*c**2 - 2*c wrt c.\nAnswer: -410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110000110101000001100110 (base 2) in base 4?\nAnswer: -300311001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 52668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gppg when four letters picked without replacement from {g: 2, p: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2491 + -1651. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-34)\/17)\/2)\/(4\/52).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-391)\/(10937052\/168))\/(2\/(-1*18))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -2*s - 5, -2*s + 2 = 2*a - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (-4 + sqrt(44) - sqrt(11) - -5*sqrt(33)\/sqrt(3)))**2 - (3 + (5*sqrt(44)*-2*5)**2).\nAnswer: -111623 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 9a3a2?\nAnswer: -9a3a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -329 + 338. Solve 11*o = d*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, p: 1, z: 2, i: 3, y: 2, q: 2}. What is prob of picking 1 z, 1 i, and 2 y?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqppppppq.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -0.2, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32629*g**2*i*p**2 + 787*g**2*i + g*i*p**2 + 2605*g*p**2 - 3*p**2 + 133 wrt g?\nAnswer: 65258*i*p**2 + 1574*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**2 + 1 + 5 - 4 + (0 + 13*h + 0)*(3 + h - 3) in the form m*h + o + x*h**2 and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -1. Suppose -5*i + 7 = -q*p, 5*p - 3 + 14 = 4*i. Let o = i + 4. Solve -o*h - 2*d = 2*h, -h = -2*d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k**3 - 18*k**3 - 16*k**3 + (k**3 + 4*k**2 - 4*k**2)*(-283 + 519 - 489) - k**3 + 2*k**3 - 2*k**3 as a*k**2 + u*k + t*k**3 + f and give t.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 15*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) -32 (c) -3 (d) -44 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 495987?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 802708 divided by -200677.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-3)\/1 + 15. Let i(u) = u**3 - 11*u**2 + 9*u + 12. Let m be i(b). What is n in -2*n**2 - 2*n**4 + 3 - 11 - n + 8*n**m - 4*n**3 + 9*n = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -73, -129, -239, -421, -693, -1073?\nAnswer: -1579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 6*a**2 - 2*a - 8. Let x be w(-6). Solve -u**4 - u**4 - 9*u + 2*u**2 + 9*u**3 + 6 - 5*u**2 - u**x = 0 for u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8*(-40)\/5. Let o be (4 - -1)*v\/(-10). Solve 5*q = -o*u + u, -4*q + 3*u = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let r(d) = -10*d**2 + 16*d. Let p(m) = 3*m**2 - 5*m. Suppose 6 = q - 4*q. Let l be (-40)\/5*(0 - q). Let n(o) = l*p(o) - 5*r(o). Calculate u(n(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + b + 7, -3*b = -2*y - y + 21. Suppose 0 = 2*l - 0 + 8. Let i be (l\/(-2))\/(6\/9). Solve 0 = -y*t + i*t - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8*r = -42. Suppose 3*q + r*q = -27. Let f(b) = -549*b + 10. Is f(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103772789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 0, -28.1, -12, -0.37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 2*d + 2. Let n be l(-2). Let b(o) = -o**2 - 8*o + 67. Let z be b(5). Suppose n*c - z = 4. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:46 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3432 - -3432. Sort 5, m, -4, -29.\nAnswer: -29, -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*k. What is the third derivative of 15*g**2 + 16*g**k - 24*g**2 - g**3 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.72 - 6.42. Let r = f + 3.7. What is the closest to r in 0, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*n + 27. Let a = -1 - -4. Solve -n = -a*h + 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3888, -7791, -11708, -15639, -19584?\n\"Answer: -7*k**2 - 3882*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 - 7. Let d = n + -133.2. Sort 3, -5, -0.1, d in ascending order.\nAnswer: -5, d, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2 + 8. Suppose -2*b + 8 = -4*w - 0*w, 4*b = 2*w - a. Let u be (-9)\/(w*1\/8). Calculate the highest common factor of u and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-72))\/(9\/12)*3 + -1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.556 times 0.3?\nAnswer: -0.4668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (-3 + 4 - -50). Let m = -49 - o. Solve -16 = -4*l, 3*l + 4 = m*u + 7*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mfvgbmf. Give prob of sequence fmm.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kffytk. What is prob of sequence tk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20182 is divided by 5033.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 0, -168 in descending order.\nAnswer: 4, 0, -5, -168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6*(-16)\/(-2). Which is the closest to 0.06? (a) 1 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*b + 164 = -y + 692*b, 0 = 5*y + 5*b - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 6028 = 5803 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6350*o**2 - 50*o - 6310*o**2 + 6 as j + v*o + s*o**2 and give s.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 21*o**5\/5 - 2*o**3\/3 - 785*o + 1331. Differentiate a(i) with respect to i.\nAnswer: 84*i**3 - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*y = 15, w + 15 = 3*y - 0. Put 5, -1, w in decreasing order.\nAnswer: 5, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2 + 233*u - 147. Determine p(-50).\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9869\/2543380 + -1\/5180. Let f be (6\/(-10))\/(5511\/9185). Which is smaller: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -16?\nAnswer: 17\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + q = -26, x + 28 = -4*q + 29 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:27 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 32*y**2. Let n(s) be the second derivative of 13*s**4\/12 - 3*s - 2. Calculate l(n(x)).\nAnswer: 5408*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 42 = -10*b. Is b at most as big as 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/19 - -7\/285. Let p be -3*(-2 + (-9)\/(-5)). Let q = 0.2853 - -0.0147. Which is the closest to 1? (a) s (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703303181 to the power of 1\/3, to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 40 = -0*g. Let h be g\/(-1) + 1\/((-3)\/6). Solve 2*t - h*f - 14 = -0*t, -11 = t + 3*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 11. Let f = 11 - b. Suppose -4 - 9 = -f*d + i, -11 = -2*d - i. Solve -2*h + h = -d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16743784 - 22563184 = -105*y - 15167783. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - f**2 + 4*f - 5. Suppose 4*y - 2*m = -8, 4*y + 15*m - 11*m = -32. What is the remainder when 213 is divided by o(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -202*m*y + 164*m + y + 1423 wrt m.\nAnswer: -202*y + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4\/5 + 687439*z**3\/5 - 65299983*z**2\/5 + 1582955441*z\/5 - 1518342896\/5 = 0. Calculate z.\nAnswer: 1, 47, 687344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 30*q**2 - 76*q - 35. Let n be v(27). What is the highest common divisor of 125 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/9 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(8\/7))\/((u*u**(1\/3))\/u))\/(u**(2\/25)\/(u*u\/(u**4\/u)*u)) assuming u is positive.\nAnswer: u**(-292\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 119820 rounded to the nearest 1000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 + 103. Calculate the lowest common multiple of q and 141.\nAnswer: 1551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*s**3 + 1745*s**2 + 2110*s + 440 = 0. What is s?\nAnswer: -22, -1, -4\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 1524*d**2 + 3046*d + 6. What is k(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 16*r = 31*r - 237402. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*k + 14*k + n + 7449, 0 = -3*k + n + 4469. What are the prime factors of k?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210152.\nAnswer: 2, 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5509 is divided by 104?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30346 - 202?\nAnswer: -30551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 5:30 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1596852 by 532284.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*(-2 + (-264)\/(-135)). Let u = -0.48 + 0.17. Let i = 0.09 - u. Which is the closest to 1\/3? (a) z (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 11:14 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -3*f - 8. Find the third derivative of 8*o**2 + 10*o**f + 8*o**2 - 12*o**2 + 4*o**6 wrt o.\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 200793, 200792, 200791, 200790, 200789, 200788?\n\"Answer: -g + 200794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, s: 1, z: 2, n: 3}. Give prob of sequence znnz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1\/4))**(-10)*(m**3*m)\/(m**4\/m) assuming m is positive.\nAnswer: m**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2*u**2 + 2*u**4 - 4\/3*u**3 + 0*u + 2. Let y(l) = 0. What is l?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-20) + (-461881)\/1020. Let s = k - -453. Let i = 6073\/2244 + s. Find the common denominator of 59\/8 and i.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 5*m**2 + 25610*m + 25605 = 0.\nAnswer: -5121, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 2. Let l be r(0). Suppose -6*u = -l*u - 12. Solve -2*f = 2*a + 4, a + 2 = u*f - 7*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 65 - 101. Let n(d) = 4*d + 51. Let s be n(v). Let h(o) = 2*o - 108 - s*o + 116. Give h(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -152.09365?\nAnswer: 304.1873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 5*h + 3. Calculate n(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q - 14. Let d be s(-3). Let f = d + -9. Let t = -9 - -44. What is the remainder when t is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 3*i**2 - 2 - 4. Let j(t) = -5. Let x(h) = 9. Let r(p) = 11*j(p) + 6*x(p). Let l(c) = m(c) - 6*r(c). Determine u so that l(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*a + 9 = 0, 0*n - 1 = n + a. What is the lowest common multiple of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -553 (b) -3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by 130.\nAnswer: 22\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 9*z - 126. Let r = -175 + 253. Suppose 7*o = 4*o + r. Calculate the remainder when o is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 23332.5\nAnswer: 69997.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in 3\/5, -0.1, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Suppose -4*l + 5*q = -7, -3 = -3*l - 3*q + 9. Let v be c(l). Let k(z) = 4*z + 2. What is the tens digit of k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(2\/(-1)))\/(-1)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615420?\nAnswer: 2, 3, 5, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + -1.99. Suppose 29 = m - 2*r + 74, 4*r + 85 = -3*m. Let t be 2\/7 - 4\/m. Which is the third smallest value? (a) t (b) -0.5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 2*m. Let d be a(3). Let z be 8 - d*2\/(-6). Suppose -z*w - 8 = -3*w. Which is smaller: -5\/6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 738*v**5*x**2 - 297*v**3*x**3 + 13359*v**2*x + 2*x**3 wrt v?\nAnswer: 44280*v**2*x**2 - 1782*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -4*d. Let g = -111 + 104. Let c = -1 - g. What is the nearest to -2\/3 in c, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37308019 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.5. Let f be (-3)\/(525\/216 - -1). Let d = 10\/13 + f. What is the nearest to -0.1 in g, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Let g(z) be the second derivative of -479*z**4\/6 - 737*z. Calculate r(g(n)).\nAnswer: 958*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 2*v)*(3 - 1 + 0) + v + v - 8*v + 0 - 2*v + 0 + (-2*v + 3*v - 2*v)*(3 + 2 - 6) - 2*v - 3 + 3.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - (-5 + 605\/45) and -42\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -38 (c) 0.2 (d) -0.3 (e) 36.95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4*sqrt(112)*1*-1)**2 + -5).\nAnswer: -3574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zizi when four letters picked without replacement from ifffyiiiziiikizf?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 + -219. Find the second derivative of l*d**2 - d**4 - 35*d - 82 + 15*d**2 + 82 - 137*d wrt d.\nAnswer: -12*d**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 2*u + 1. Let g be o(-2). Let d = g + 13. Solve 3*j - 5*j = -d*a - 14, 0 = j + 4*a + 13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*z + 303, -z + 46 = 2*f - 8. Let r(w) = w**2 + 6*w + 5. Let c be r(-4). Let a be 36*1\/(c\/(-2)). Calculate the greatest common divisor of a and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3002130 + 1132?\nAnswer: -3000332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 31 - 3 = -l, -12*l - 23*l = 4*i + 1283 for l.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = t + 14*f - 17, 13*f = 5*t + 9*f - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 176*u + 462. Let q(y) = 25*y + 63. Let w(m) = 22*q(m) - 3*v(m). Let r(l) = -198*l. What is 6*r(g) + 55*w(g)?\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a meter in centimeters?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a factor of 1215861888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 a when four letters picked without replacement from ajaajaajaaa.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 78803*w**2 + 178*w + 133120363 wrt w?\nAnswer: 157606*w + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55182 minus -52?\nAnswer: -55130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 0.04 (c) -231.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**4\/8 - 11*d**2 - 51*d. Let b(l) = -3*l - 7*l - 3*l. Determine t(b(p)).\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 e when three letters picked without replacement from {v: 1, e: 2, h: 2, d: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990694?\nAnswer: 2, 995347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 616475330 divided by -123295066\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20641551 and 3.\nAnswer: 20641551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sjjusrsssupjrjsjj?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 2)*(-2*g + g + 4*g)*(-7*g + 2*g + 0*g) + (5*g - g - 2*g)*(4 + g - 4).\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98529 divided by -2.\nAnswer: 98529\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 + 167. What is the biggest value in -0.5, 0.2, 1\/3, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 34 = 10. Let i(z) = z**2 - 12*z - 26. Let b be i(-2). Solve -b*v = -3*a - 7, -2*a - 3 = w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898985571?\nAnswer: 3, 11, 27241987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1347011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3179, 5925, 8671?\n\"Answer: 2746*o + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 11*w**2 + 15*w - 42. Calculate c(5).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 + 7*j - 23 + (-6 + 2 + 2)*(-1 + 1 - 2*j) - j + 2 - 2 + (0 + 0 + 2)*(j + j + 0*j) - 2 - 4*j + 2 + (2*j - 7*j + 2*j)*(1 + 4 - 6) + 3*j - j + 0*j.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -221*k**5\/10 + k**4\/6 - 875*k**2\/2 + 641*k. Differentiate t(j) with respect to j.\nAnswer: -1326*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -262922\nAnswer: 52584.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-2)\/(-4) - -5. Solve -a = 4*u + 3*a + 4, -8 = -m*u - a for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32 in -1\/6, -0.01, 10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 7*s - 6. Suppose 5*f + 39 = 14. Let z be w(f). Suppose -296 = -z*x + 80. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*w**3 + 4 + 2*w**4 - 1 + 1 + 38*w**2 - 4 as g + k*w**4 + y*w**2 + s*w**3 + c*w and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 2:52 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2543907 is divided by 198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 1002?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/15 - (-873)\/5 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10281229 and 28.\nAnswer: 41124916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -16. Let p be g + 1\/(4\/12). Suppose -11 = -p*v - 3*q, q - 21 = -4*v - v. Solve -2*y + 10 = 3*n - v, -y + 6 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:33 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 4)*(11 + -18) + (0 - -8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 5 (c) -4 (d) 4 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m. Let r(u) = 462*u**2 - u. Calculate g(r(i)).\nAnswer: -2310*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/7, 3, 2\/7 in descending order.\nAnswer: 3, 12\/7, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1769*p - 66 = 1758*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 0*v + 2*v)*(13 - 3 - 5) + (0*v - 2*v - 2*v)*((2 + 2 + 0)*(0 - 4 + 3) + 0 + 0 + 1).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28504 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85165 (base 10) to base 3.\nAnswer: -11022211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2600969*0.2\nAnswer: -520193.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096 = 5*l - l. Let a = l - -92. Let s be 2\/(a\/(-105)) - (1 + 0). Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 1:54 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**24)\/d)*d*d\/(((((d*d**(-1\/4))\/d*d)\/d)\/d)\/d))\/(d\/((d\/(d**(2\/5)*d))\/d))**(-15) assuming d is positive.\nAnswer: d**(261\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*m + 22 = 0, f + 4*m = -m + 21. Let p be 6\/24 - 11\/f. Let t = -0.9 - 3.1. Which is the third smallest value? (a) p (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {j: 5, v: 6, t: 3, h: 2, u: 2, b: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 3 - 5)*(n + 2*n + 2*n).\nAnswer: -65*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49.9 - 8.9. Let j = -90 + 632\/7. What is the third smallest value in j, -0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/191815 and -89\/360.\nAnswer: 13810680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) - (-21)\/105\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 0*f - 2*f)*(-12 - 2672*f + 2819*f + 16) to the form u + b*f**2 + z*f and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = 8. Let s be ((-12)\/8)\/(u\/(-8)) - 0. What is the tens digit of 29*4\/8*s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 11 - 9 = 0. Suppose -4*s = -9*s + 10. Let j be -2 + 3 + s - (4 - -1). Put 1, g, j in decreasing order.\nAnswer: g, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 4796.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 + 2*r + 1. Let z(h) = 19*h**2 - 2*h - 86. Let k(a) = 6*j(a) + z(a). Give k(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 104\/40)\/((-2)\/10). Suppose -5*h - 27 = -2*t + 11, -f*t = 5*h - 7. Suppose 0 = t*y + 4 - 40. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01011702 to 4 dps.\nAnswer: 0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 9*p**2 + 0*p + 8*p**2 + 0*p.\nAnswer: -p**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*w + 131 = -6*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 23*d**2 + 26*d - 21. Let z be v(24). Suppose 39*w - 30*w = z. Solve -7 = 3*s + 5*j, w*s - s = -4*j - 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2935\/4 + -728. Calculate the common denominator of -83\/2 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -42, -129, -258, -429, -642, -897?\nAnswer: -1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236075 and 860825?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74634 is divided by 74592.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}