diff --git "a/data/dm_maths/full_data_2/10180_11255.jsonl" "b/data/dm_maths/full_data_2/10180_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10180_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Sort -5, 2, -865569, 19.\nAnswer: -865569, -5, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*h = -48, 0 = -5*f - 2*h + h + 224. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -160.8999293 - -160.9. Round t to six dps.\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**34*g**(-33) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 1019509.\nAnswer: -203901.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 1989?\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10863925.082 - 11488641. Let l = p + 624742.9180061. Let s = 27 - l. What is s rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 93*t + 3259. Let u be q(-27). Solve -16*g + u*g - 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00044815 rounded to five decimal places?\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3678.\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 10:19 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206 = 200*c - 5406 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_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 h(j) be the third derivative of -j**6\/120 - 11*j**5\/60 - 5*j**4\/12 + 5*j**3\/6 + 4*j**2. What is the units digit of h(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - -2.5. Let j be (8776\/3291)\/((-8)\/3). Which is the third biggest value? (a) 14 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(4\/144) - 5. Suppose -30*u + p*u - 118 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000001001000100101001 (base 2) to base 5.\nAnswer: 11212320243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1340, -23, -4, -0.5, 2?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 883.98 rounded to the nearest ten?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1284 by 4.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5196*l - 5888. Let s(k) = 5193*k + 5836. Let t(b) = -4*d(b) - 3*s(b). What is the derivative of t(q) wrt q?\nAnswer: 5205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/5)\/l*(l\/l**0)\/l*l*(l**(1\/5))**(2\/53) assuming l is positive.\nAnswer: l**(-104\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p*p**(-2)*p*p)\/p*p))\/p*(p*p*(p*p**9)\/p*p)\/p)\/(p**3*p*p\/p**(1\/11)) assuming p is positive.\nAnswer: p**(45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 25*s - 132 + 42 + 45.\nAnswer: 25*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 - -201. Suppose 2*r + 4*h = -h + 63, -u = -2*r - h. Calculate the greatest common factor of r and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7a (base 11) to base 8.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -76584 and -0.0043874.\nAnswer: -76584.0043874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 1. What is the remainder when 43\/9 + c\/(-9) is divided by (2\/4)\/1*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 6:13 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199979 is divided by 34?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f - 5*f - 2*f to the form b + a*f and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88951?\nAnswer: 88951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352366?\nAnswer: 2, 7, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76*d**5 - 3214*d**3 + 110*d**2 - 9520*d - 24676 wrt d.\nAnswer: -1520*d**3 - 19284*d + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - (6 + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20908557.\nAnswer: 3, 877, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 56567 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v - 2*v)*(-v**3 + v**3 - v**4) - 2135*v**5 + 1248505*v**3 - 1248505*v**3 + 0*v**5 - v**3 + 0*v**3 - 3*v**4 - 3*v**5.\nAnswer: -2136*v**5 - 3*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 5*y + 17 = -10*f, 11 = 4*f - y. Let t(n) = 5*n - 19. Let k be t(f). Which is the second smallest value? (a) k (b) 4\/3 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/(-162))\/((32\/9)\/(6\/9)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 16 - 4. Solve -3*z = -2*k - 0*z + 2, -4*k - 12 = f*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 + 8 + (-15)\/3 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11*m**3 - 8*m**3 - 16*m**4 + 2*m + 2*m**4 - 2*m**2 + 16 - 5*m**3 in the form a*m**3 + g*m**2 + x*m + r + z*m**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 33726450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g - 7*g + 8*g - 548 + 6*g to the form i + c*g and give i.\nAnswer: -548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/590 and 13\/10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 6 + 6)*(-3*b + b + 4*b + (3 + 0 - 1)*(11 - 11 - 33*b))*(0 - 1 + 2).\nAnswer: -256*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214481 or -0.2?\nAnswer: -214481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1126*o = 80885 + 75591 - 34868 for o.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117025?\nAnswer: 5, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {s: 4, r: 14}.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 466570002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/22 - (35508\/(-484) + 8 + -1).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 134473908?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*h + 1 + 16*h - 32*h)*(272 + 279 - 145).\nAnswer: 812*h + 406","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + (-15 - (-1 - 1) - -51)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/30 and 1\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 4:24 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/(-30))\/37*(-6)\/(-3)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t + 123. Let d = t + -82. Let o = -20 - -41. What is the remainder when d is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + (sqrt(11) - 1*sqrt(11) - sqrt(11)) + sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.1, -0.371, -4, -2\/37.\nAnswer: -4, -0.371, -2\/37, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 17*j**2 + 82*j - 45. Let o be u(-21). What is the closest to -18 in o, 3, 4, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-39)*-2)\/((-60)\/(-45))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -32. Let d = 17.8 + j. Let r = -0.7 + -0.5. Is r < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84297332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 742\/18 - (-10)\/(-45). Suppose c - y = -5*s, -4*s + 5 = 2*c - 59. Let x(u) = 14*u - 477. Let p be x(35). What is the greatest common divisor of c and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59811884 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000063018868 to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4 + 3)*(-2*t + 4 - 4) + (-5*t + 2*t + 7*t)*(1 + 3 - 3) + 2*t + t - 2*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 65\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 4*((-9)\/(-24))\/(6\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Let c(i) = -i**2 + 2*i - 1. Suppose 3*x + 3*p = 7 - 1, -x = 4*p + 4. Let v be c(x). Is 7 a factor of (3 + 39\/v)*-12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 174046\/374 + 4\/(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1844 - -2155. What is the remainder when h is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 12*h**3 + 3*h**2 + 4*h. Let c(f) = 11*f**3 + 2*f**2 + 3*f. Let s(d) = d + 10. Let t be s(-5). Let a(z) = t*c(z) - 4*p(z). Calculate a(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 1.1. Let d = r + 1.04. Let x = d + -0.0404. Round x to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*r + 265*r - 5270 = -176*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 - 44. Let z = x - 5. Let c = -4 + 7. Solve 4*k - 2*j + 4*j = z, -k = j - c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.28*-5\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 8:41 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpdapdzfdffhzdaaddz. What is prob of picking 1 z, 1 p, and 1 a?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 28662.39um?\nAnswer: 28662390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 3*d. Solve 1 = x + d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 0, 3, -57, -2 in descending order.\nAnswer: 4, 3, 1, 0, -2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -504 - -503. Let x(w) = 54*w**2 + 45*w. Let i(p) = p**2 + p. What is d*x(o) + 45*i(o)?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19404 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -714, -621, -466, -249?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000797043 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28989 + 28989 + 4*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from {d: 2, z: 2, b: 2, g: 2, r: 3, o: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) 1 (b) 3\/4 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/5 - 817*x**2 + 401673*x\/5 + 1241757\/5.\nAnswer: -(x - 99)*(x + 3)*(x + 4181)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-9)*(-258)\/(-688)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2964 by -988.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 146 + -90. Suppose 3*x - w = 5*s, x + 3*x + 3*s = 123. Suppose 6*j - 3*j = x. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32775 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(128) + -3 - -6*(sqrt(128) + 0))*3 + -1)**2.\nAnswer: -4368*sqrt(2) + 56617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*h - 5796 + 45423. What are the prime factors of h?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 + 7*p**2 - 7*p**2 + 3*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 65922709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 9 + (20 + 4 - -21).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 709.9173cm to kilometers.\nAnswer: 0.007099173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -618562, -1236418, -1854274, -2472130, -3089986, -3707842?\n\"Answer: -617856*o - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 153, 2, -2\/9, 0.2, 6345.6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 16*o - 103 + 17 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.1, -1\/5, 470, 3?\nAnswer: 470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 145?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 51 - 60 = -4*t, 4*t + 8 = 0. Is u equal to -118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 9. Let a(m) = 3*m - 1. Let z be a(2). Suppose -3*y = -z*p - 23, y = 3*p - y + 14. Which is smaller: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016568 rounded to six decimal places?\nAnswer: 0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2136843.915 - 2138426.915757. Let g = 1.437 + -1584.437. Let n = g - d. What is n rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 10*c**2 - 18*c - 3. Give p(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 7:01 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 - 3*s**5 + 4*s**5 + (0*s**4 + s**4 + s**4)*(-3*s + 3*s - 2*s) - s**5 + 6 - 6 + 1772 - 320*s**5 - 1771 - 322*s**5.\nAnswer: -646*s**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4157 - 2184. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-233 + -3)\/(-2). Let n = 119 + q. Let x = 13 - 8. Solve x = n*m + 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1605 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10393*h**2 + 2. Let f(l) = -2*l. What is f(d(p))?\nAnswer: 20786*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 16 + 2*j - j - j**2 + 0*j**3 - j**3. Suppose 4*b + 4*m = -1 + 13, -m + 15 = 3*b. What is the remainder when x(0) is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/38 in 1\/3, -4\/7, 0.7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162.5 - 163. Let w = -3 + 3.06. Let k = -87 + 437\/5. What is the closest to k in r, w, -2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 469180.62 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Let q be 2\/(-6) + 1\/d. Find the second derivative of -3*h**3 - 2*h + h**3 + q*h**3 wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10*a - 58. Suppose 0 = 4*c - 2*c - 4. Suppose -5*z + c*o + 10 = 0, -8 = -4*z - 2*o - 0. What is the remainder when v(-6) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight sevenths of a week?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*s - 22*s - 19*s - 10 + 55*s as i*s + t and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1739*n*r**3 - 12598*n + 3*r**3 + 2*r**2 + 354656*r - 2 wrt n.\nAnswer: -1739*r**3 - 12598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -4032.\nAnswer: -17\/2016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/4)\/(((-4)\/(-1))\/(-16)). Suppose -t = w*j + 17, t + 3*t + 8 = 0. Let m be (1\/(j\/(-3)))\/(-1)*-4. Is 0 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 + 3\/90*-116. Put -5, 1\/11, c, 6 in ascending order.\nAnswer: -5, 1\/11, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1598?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -490\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + sqrt(80).\nAnswer: -3 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 5*z - 1505 + 1169 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -56\/3*f**4 + 0*f + 7\/30*f**6 - 182*f**2 + 0 - 2\/21*f**7 + 64\/3*f**3 + 26\/5*f**5. Find b such that x(b) = 0.\nAnswer: -4, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 12:10 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*sqrt(65)\/sqrt(5).\nAnswer: 4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167362 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8398*z**3 - 4202*z**3 - 4232*z**3.\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9\/10 of a millisecond?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1 = -8. Suppose z + 17 = u*m, 3*m - 5*z - 26 = -1. Suppose -7 = -3*d + m. Solve 0 = -0*s + 3*s - 5*b - 2, 0 = -s - d*b - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51416 (base 8) in base 10?\nAnswer: 21262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4\/17 + 29\/51. Let s be 2\/(-6)*(-12)\/(-8). Which is smaller: s or f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 1 = 4*n + n, 0 = 3*n + 3. What is the remainder when (-1264)\/(-6) - a - 2\/3 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 11 - (132 - 123).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 112 = 15*v - 2 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Let w(y) = -y + 14. Let z be w(10). Suppose -z = l*s - 24. Solve -4*j - 2*a + 10 = -0*a, -2*j = s*a - 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -132, -263, -394?\n\"Answer: -131*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abbs when four letters picked without replacement from {s: 2, b: 5, a: 7}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - 8 = -7*r. Let g be ((r + 2)\/3)\/2. Suppose -w - w + 12 = g. Calculate the remainder when 13 is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -51*i - 2211. Let n be a(-45). What is the highest common factor of n and 5964?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 + -44. Let u be (-4)\/(-14) + m\/14. Suppose 0 = -2*g, 10*n = 5*n + u*g + 725. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10477*h**3*s**2 - h**3 - 46*h**2*s - h**2 - h*s**2 - 8*s wrt h?\nAnswer: -62862*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 6.9. Let f = d - -1.5. Let p = f + -2. Which is the third smallest value? (a) -0.5 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(768)*-2)\/(sqrt(48)\/sqrt(200)).\nAnswer: -480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 11 = 2*i, 2*i + 8 = -3*y + 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 x when four letters picked without replacement from {x: 1, w: 1, q: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 4:25 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 16*k + 1615 = 0. Let o be ((-3)\/2 + 9\/9)*-4. Suppose -233 = o*b - k. What is the common denominator of b and 65\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k - 30528 = -35*k. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 15396.\nAnswer: -7\/15396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4430720 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 0, -5*t - 3 = h - 12. Which is smaller: h or 73\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215465213 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*t = 1, 0*t - 10 = -3*k + 4*t. Let j be 6\/21 - k\/7. Suppose -5*q + 197 = -4*d - 24, j = 4*q + 2*d - 182. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g - 4728 = -43*g. What are the prime factors of g?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 3. Let d = -45.5 - z. Which is the closest to -3? (a) 3\/16 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67405 - 14752. Let m = s - 21662. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 0 + -3 + -1*2. Suppose 3*i - 3 = q, -8*g + i + 44 = -5*g. Let k = g + -7. What is the least common multiple of 20 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-987)\/(-112) - (10 + -21)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 13177245.\nAnswer: 8\/13177245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*y - 67*y - 16 = 0. What is the hundreds digit of 3122\/8 + y*1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2076 - 2074. Solve -j + 3 = -g - 1, g + r = -j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -3\/2*a**2 + 1\/6*a**3 - 38*a + 0. Give t(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmm. What is prob of picking 2 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 17658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of 0*g**6 + 0*g**3 - 5\/12*g**4 + 11\/112*g**8 + 0*g**7 + 0*g**5 + 17*g**2 + 0*g + 0. Find the second derivative of h(m) wrt m.\nAnswer: 660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 7*z**2 + 29837*z**3 + 18 - 8476*z**3.\nAnswer: 21361*z**3 - 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -125512.\nAnswer: -1\/31378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*r = -0*r + 1362. What is the remainder when r is divided by 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -14*b**2 + 19*b + 69. Give u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/4)\/8*5\/(-30). Is 4 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (-5 + sqrt(85)\/sqrt(5)))*5)**2 + 3.\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1014 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -6, -3 in decreasing order.\nAnswer: 12, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + -4)**2*-6.\nAnswer: -366 + 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u**2 - 6*u + 2. Let t(l) = 12*l**2 + 7*l - 1. Let y(r) = -7*j(r) - 6*t(r). Differentiate y(v) wrt v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*p. Suppose -p*z = -3*z + 2. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*z + 2*l + 60, 2*z + l - 115 = 0. Calculate the remainder when (2 + -1)*(z + 1) is divided by 13\/(-4 + (-651)\/(-140)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l - 42. What is s(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*b + 106*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 - 27288291 - 15*u + 27288291.\nAnswer: -3*u**2 - 15*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(465\/(-375)))\/(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -238 + 241. Let n = -1 + 6. Let w(o) = -o**3 + 6*o**2 - 4*o - 3. Let s be w(n). What is the second biggest value in -1, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34115177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that y**5 - 87*y**4 + 1655*y**3 + 10667*y**2 - 1656*y - 10580 = 0.\nAnswer: -5, -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 20, 3, -2, 2\/5, -16\/7, 23860, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -10. Solve z - c*z + 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -36 (b) -25 (c) 1\/6 (d) -5 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**2\/2 - 3. Let b be w(2). Let r(y) = 2*y**2 - 31*y - 12. Let a be r(16). What is the greatest common factor of a and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, y: 1, q: 4}. What is prob of picking 1 y and 3 t?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-9 + 45\/6) + -7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 493*v + 6. Let n be o(6). Let f be n\/(-27) + (-14)\/63. Let p be f\/(-7) + (-6)\/(-21). What is the greatest common factor of p and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + l - 178, -4*f = f - l - 182. Suppose x - 4*k - 236 = 0, -3*k - 82 = -x + 158. Calculate the highest common factor of x and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -k**6\/120 + k**5\/30 - k**3\/2 - 9*k**2. Let a be b(-2). Suppose -m - a = -1404. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442357374?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*b - y + 3*y, 2*b + 10 = -4*y. Let u = -88 + b. Let c = 153 + u. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 1, f: 1, i: 1, p: 1, j: 2}. Give prob of sequence jj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcr when three letters picked without replacement from {q: 5, c: 4, w: 1, i: 2, r: 4, g: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + l**2 - 2*l - 10. Give m(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 2*j + 3. Let l be d(-3). Is (3\/2)\/(l\/1800) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -2\/7 (b) 0.4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70993*t + 76215*t - 489*t.\nAnswer: 146719*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-14)*d*d**15)**(-2\/61) assuming d is positive.\nAnswer: d**(-62\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2852 is divided by 1935.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1*b**(-3)\/b*b*(b\/(b\/b**(-2)))**(-42)*(b\/(b\/b**(1\/3))*b\/b**(-2))**(-12\/5) assuming b is positive.\nAnswer: b**74","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and -22.\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.68783 weeks in minutes?\nAnswer: 319413.3264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12155.15 rounded to the nearest 10?\nAnswer: 12160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 230*i**4 + 157*i**2 - 2.\nAnswer: 5520*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + (-30 + 13 - 7).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 2 q when four letters picked without replacement from {q: 5, m: 2, k: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1946119 + 11*m - 1946119.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -636 - 306?\nAnswer: -941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 49634, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/4)*o**(4\/9))**(2\/89)*(o**(-1)\/o)**1*o**(1\/2)\/(o\/o**(2\/3)) assuming o is positive.\nAnswer: o**(-1438\/801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959*q + 1087 + 3228 = 5*x + 65*q, -q = 2*x + 67 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4215*m = -18687 - 200493 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t + 11. Let n(y) = -2*y**2. Give l(n(x)).\nAnswer: 6*x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114191722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 72 + -1107293?\nAnswer: -1107221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**8\/6720 - p**7\/1260 + p**5\/40 + p**4\/4 - 3*p. Let b(f) be the third derivative of i(f). Is b(-3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-0.78.\nAnswer: -7.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - k + (-19538*k - 19269*k + 40158*k)*(-2 + 1 - 1) to h + r*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -770 - -109?\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21, 400, 3, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1059\/7 in 3, 4, -2\/7, -463\/5?\nAnswer: -463\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/5 + 138722*i**4\/5 + 4811087036*i**3\/5 + 9621064312*i**2\/5 - 3848869632*i - 7697295360 = 0. What is i?\nAnswer: -69360, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 15*w - 185 - 119 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a (base 14) to base 15.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 divided by 37.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 53275 (base 10) to base 13\nAnswer: 1b331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4110*o = -394*o - 133776 for o.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-7) + (0 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81 - -160. Let d = h + 220. Is d\/39 + 2\/(-3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (28 + (-9 - -12) + -2 + 1)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -353\/2 + 21. Let l = -164 - m. What is the common denominator of l and (-105)\/(-48) - (-5)\/(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 greater than or equal to 168760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 6*v**2 + 9*v + 9. Let t be x(7). Let a = 2 + 0. Suppose 130 = 2*k + 5*c, -a*k = 4*c - t - 5. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 3*k**6\/10 - 5*k**4\/6 + 6*k. Find the third derivative of g(z) wrt z.\nAnswer: 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*j - 35, -3*w + 812 = 872 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2343.547 millilitres in litres?\nAnswer: 2.343547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Let d = 2 - 2.5. Let x = -38707.98 + 38708. What is the second biggest value in d, 1, x, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 10*c + 6. Let t be r(-8). Let m be (-1)\/1 + t\/10. Sort m, 5, -3 in ascending order.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1155183 to the power of 1\/2, to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 6*g + 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221222000 + -21?\nAnswer: -221222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16624.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 8 + 10. Suppose 19 = -5*g - a. Let j be 6*(2 - g\/(-3)). Solve 2*z = -j*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 8:44 PM?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4903, -11878, -57425, -146120, -292345?\n\"Answer: -2397*v**3 - v**2 + v + 7300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:06 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:44 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*u = 606*u - 275*u - 44968 for u.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -19 - (1 + -1 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1273420 to the nearest integer?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1514062944 and 3904?\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*v - 104 = 89*v. Let w = -3.6 - -0.6. Which is the nearest to -0.1? (a) v (b) w (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -272*z - 4. Determine l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4294964.\nAnswer: 2, 59, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/306 and -51\/14?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 185\/10*(320\/76 + -4) - 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, t: 12}. What is prob of sequence llll?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1468, -3000, -4652, -6484, -8556?\n\"Answer: -10*o**3 - 1462*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 179942.228 and -10.26.\nAnswer: 179931.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5924 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 26*m**2 - 231*m + 68. Calculate b(33).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132861 + 132201 = 33*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-841)\/(-116) - (4 - -4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2 - 2*u - 1. Let w(k) = -6*k**2 + 14. Let x(d) = -l(d) - w(d). Calculate x(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*w**2 + 3 + 29*w - 8*w - 17*w)*(-5 + 5 + 6)*(2 + 1 - 1)*(2 + 0 + 0).\nAnswer: -312*w**2 + 96*w + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - d - 1. Let i be p(-1). Suppose i*u = -2*u. Let s be -2 + 4 - (4 + u). Sort -1, 0, s in ascending order.\nAnswer: s, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -244036797 - -244036793.00000003. Let j = 4 + z. What is j rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {v: 2, b: 5, y: 1, o: 8}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5*-18.4758905\nAnswer: 92.3794525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - 18*p + 8. What is f(-13)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 take away 286919.247679?\nAnswer: -286800.247679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r**(-1\/2)*r)*r)*r\/(r\/(r*r*r**(-2\/3)*r)))**(-10\/11) assuming r is positive.\nAnswer: r**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.235016 decades to months.\nAnswer: 748.20192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 3*g - 1. Let c be j(-5). Let u be 3 - 0\/(c\/3). Let a = -3 + 5. Solve a*p = -u*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 - 6759*w + 6759*w - 7*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251896 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 54*t**2 + 6 + (2 - 2 - 5)*(-13*t**2 - 79 + 79).\nAnswer: 119*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9129, -18254, -27365, -36462?\n\"Answer: 7*r**2 - 9146*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 v, and 2 n when four letters picked without replacement from {n: 2, v: 5, a: 8}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -0.177136.\nAnswer: 0.222864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1506.\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158 and 28747231.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 34*h - 115. Determine t(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**4 + 10356*r**3 - 217*r**2 + 3506881 with respect to r.\nAnswer: -4*r**3 + 31068*r**2 - 434*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0.4. Let x = j + 0. Let o = x - 0.4. Which is the smallest value? (a) 4 (b) o (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 4 + (3 - (6 + 2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let z be x - (-268)\/(-64)*-182. Let m = 765 - z. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-six fifths of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 599. Let l(z) = 57. Let x(u) = -2*f(u) + 21*l(u). Suppose t = -3*t - 12. What is x(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(8) - sqrt(512)*2) + sqrt(8))\/(sqrt(4) - (-1*sqrt(144) - sqrt(4)) - sqrt(4)))**2 - (-1*(sqrt(588)*2)\/((sqrt(6)*-2 + sqrt(6))*-6))**2.\nAnswer: 46\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4*-6.6\nAnswer: 26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/2 - 28455*o\/2 - 14227.\nAnswer: -(o + 1)*(o + 28454)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/(6\/(-4)). Let w be 3\/(15\/12*6\/(-10)). Let f be ((-2)\/(-12))\/((-1)\/w). Which is the smallest value? (a) f (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c - 4. Let l be m(-9). Suppose 15 = y + 4*y, l*p + y + 2 = 0. Let w be (6\/4)\/(2\/4). Put -2, p, w in descending order.\nAnswer: w, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 6 - 16. List the prime factors of z\/7 + (-258)\/(-21).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/86000 and -31\/313040?\nAnswer: 7826000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 2, -1219, -1, -3, 75 in increasing order.\nAnswer: -1219, -4, -3, -1, 2, 4, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 326268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 171 (b) -1 (c) -4\/7 (d) -24 (e) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -8*m - 4*a, 106413*a = 3*m + 106425*a + 60 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, i: 1, f: 6, t: 8}. What is prob of picking 2 f and 2 e?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.57 - 2.6. Let y = -1.1 + 0.1. What is the smallest value in y, 1\/4, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -35. Let m = -31 - q. Solve 0*p = -p + m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199\/2, -4, -1\/2, -1, -10.6.\nAnswer: -10.6, -4, -1, -1\/2, 199\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 6*k - 5. Let d be x(-4). Suppose d*g - 6 = -3*t, -3*g + 1 = 2*t - 9. Suppose v = 4*v + g. Sort 1, v, -3 in decreasing order.\nAnswer: 1, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15 + 4*z**2 + 15 + 5*z**3 + 3*z**3 wrt z?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 2. Suppose 4*c + l*w - 14 = 0, -3*c + 5*w - 17 = w. What is the third biggest value in 5, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004764 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5326, 5329, 5332, 5335?\nAnswer: 5338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.993969.\nAnswer: 0.2981907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15.26 + -130.54. Let w = -145.8803 - s. What is w rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*q + 608 + 82. Let a be 2\/(-2)*1*-5. Suppose 0 = 2*z - a*d - q, -3*z + d = 2*d - 11. Solve -20 = 4*m - z*u, -3*m - 2*u - 22 + 7 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -533 + 929. Let p = -830 + l. Let d = -434.00000333 - p. Round d to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3138231?\nAnswer: 3, 1046077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 29 = 4*r - 41, 25 = 5*r + 5*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 17*y - 6. What is the nearest to 1 in y, 0.2, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z + 2*z = 51. Suppose -x + 4*x - 12 = 0. Solve -5 = d - 4*r + z*r, -r = -x*d - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-14)*j*j\/j**0*(j**8\/j)**(-2\/15) assuming j is positive.\nAnswer: j**(-179\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 145\/3 + -49. What is the nearest to -2 in w, 0.1, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4212 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19 - -23?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -7)\/(-1) + 0. Let d(i) = 1 + 0 + i**2 + 4 - z. Let t be d(2). Solve t*u + 6 = -6*s + 3*s, 2*u = 5*s - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27478 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -29, -75, -159, -293, -489, -759?\nAnswer: -1115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -35*y**2 - 8*y + 4. Let k be i(2). Let f = 1670\/11 + k. Which is the third smallest value? (a) -5 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 6 + -12 + 2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18015 + -17814. What is the remainder when 528 is divided by f?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/4 + 25*o**4\/12 + 485*o**3\/6 + 455*o**2\/2 - 3134*o. What is m in j(m) = 0?\nAnswer: -7, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45\/(-12)*(-14)\/9. Let n = 16\/3 - v. Let a be (-1)\/(1\/(1 + -4)). What is the biggest value in 1\/7, a, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 11*y + 13. Let m be g(-12). Let o(n) = -18*n - 30*n - 17*n + 78*n + 5*n**2 - 12*n - 1. Determine o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 0*a**2 - a - 13 + 15 + 10 - 2*a**2. Let p be b(5). Let g = p + 68. Solve -g = -5*l - 0*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 4*h**2 + h**4 + 1629*h - 3260*h + 1635*h.\nAnswer: h*(h - 2)*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h - 11 + 11)*(-48*h**2 + 34*h**2 - 38*h**2) in the form q*h**2 + n*h + p*h**3 + z and give p.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*t**3 + 92500*t**2 - 92500*t**2.\nAnswer: -147*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*a - 39*a + 33*a. Solve a = 55*l + 17 + 313 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15503 - 4118 = 286*i - 3605 for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times 1705.6728?\nAnswer: -460.531656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -13. Let q = -41 - m. Suppose -4*h + 60 = q*h. Put -1, h, -2 in descending order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**32*(u*(u*u**(-1\/3)*u)\/u*u)\/(u**3*u) assuming u is positive.\nAnswer: u**(284\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52, -217, -506, -919?\n\"Answer: -62*v**2 + 21*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 2:36 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v + 8. Let i(h) = 16 + 2*h**2 + v*h + 3*h + 2*h**2 - 5*h**2. Is i(11) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from bvbvvvvbbb.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, -160, -506, -990, -1612, -2372?\nAnswer: -3270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171934?\nAnswer: 2, 7, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 1. Let f = -1.5 + 1.4. Let k = 6 - 7. What is the biggest value in f, u, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 221\/20 - 54\/5. Suppose -2*j - 8 - 18 = 0. Let l be j\/(-6) - (-1)\/(-2). What is the closest to 4 in l, f, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 - 5*h. Let y be i(-5). Suppose y = 5*n - 4*n. Let j be 3\/(-12) - 15\/(-108). Which is the closest to n? (a) 3 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - 5*y - 7. Let a = -116 - -121. Determine x(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103012333 (base 4) in base 6?\nAnswer: 1402211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1431*r + 1863*r + 1100*r)*(-4*r - 2*r**2 + 0*r**2 + 4*r**2).\nAnswer: 8788*r**3 - 17576*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227 - 224. Suppose -k*s - 5*q + 1553 = 0, 31*q = 2*s + 27*q - 1050. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10 and 75\/194.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3572104 and 30102?\nAnswer: 10716312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 22, -13, 6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 20*q + 18. Let u = -83 - -72. Let m be x(u). What are the prime factors of 2 + 2181\/18 + m\/24?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8171.95 - 200.05. Let y = k - -8381.222. Let h = -0.022 + y. Round h to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 172 - 164 = -5*i + 2*i, i = 660*x - 2636 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 40*y - 35*y. Let j(c) be the first derivative of -y - 5\/2*c**2 + 0*c. Let u(l) = -l**2. What is u(j(d))?\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-145)\/(-1218) - (-5)\/30. What is the nearest to -1 in -5, 8\/15, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 49, -5 in increasing order.\nAnswer: -5, 2, 7, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.65028753 - 24.42107\nAnswer: -23.77078247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -4040440404?\nAnswer: 4040440340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 97, 312, 743, 1390, 2253?\n\"Answer: 108*i**2 - 109*i + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 6*h**2 + h - 10. Suppose 0 = -3*b + 3*w + 21 + 3, 0 = -3*b + 4*w + 26. Give o(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 6. Suppose 3*k - 270 = s*k. What is the tens digit of (k + 0)*(-3)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -215, -181, -125, -47, 53?\n\"Answer: 11*s**2 + s - 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 83*a + 5668. Give t(-69).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1369.5 - 676.7. Round c to the nearest 10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219366 is divided by 7560.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*c - 18 = -c, -c + 6 = q. Put -3, 10, q in decreasing order.\nAnswer: 10, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1609, 1779, 2041, 2395?\nAnswer: 2841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1440 and 128563704?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-5))\/((-54)\/20 - -3). Let y be (-40)\/(-6) - (-2)\/(-3). Solve -5*a + l*a - y = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:05 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -b + 2. Let y be (1\/2 + 6\/(-4))*-2. Suppose 0 = b*z - 3*z - 3*u - 8, -5*z + 23 = y*u. What is the highest common factor of 35 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*f + 169 - 58 = 255*f + 256*f - 55*k - 85, 2*k + 5 = 3*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9132960 divided by 10.\nAnswer: 913296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6231 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 0.1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71405051.8*0.2.\nAnswer: 14281010.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-10 - 8) + 8?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16325, -33922, -51521, -69122, -86725, -104330?\nAnswer: -121937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqgg when four letters picked without replacement from {q: 4, a: 2, u: 4, g: 3, b: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrwv when four letters picked without replacement from {g: 5, v: 3, w: 3, r: 1}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 2:23 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 10 - 5. Let p = 23 - l. What are the prime factors of ((-3)\/2)\/((-3)\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 7) to base 14.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/9 - 38*m**4\/9 + 284*m**3\/9 - 1040*m**2\/9 + 1856*m\/9 - 1280\/9.\nAnswer: 2*(m - 5)*(m - 4)**3*(m - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -800*f + 794*f - 36 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 divided by 21621?\nAnswer: 387\/7207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/(-25)*(-10)\/4. Which is greater: l or 7\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6042 and 42522?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 375589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -670 = -v + 657. Suppose 14*s = v + 955. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 126938.\nAnswer: 1777132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -1, 3\/5, -2720, 2\/5, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 153\/68 - 33\/11?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 518, 1196, 2342, 3956?\nAnswer: 6038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1212.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**4 - 92495*b**3 + b**2 - 2*b + 14237.\nAnswer: -60*b**2 - 554970*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-12 - -21) - (-2 - (-3 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, a: 2, k: 8}. What is prob of picking 3 s and 1 a?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3630*o**2 + 4 - 1804*o**2 - 19*o - 1815*o**2)*(0*o + 4*o + 0*o).\nAnswer: 44*o**3 - 76*o**2 + 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r + 2*c = 192, -5*r + 2*c + 508 = 0. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.47 rounded to zero decimal places?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = 11. Suppose -y*p + p + 16 = 0. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5 + 32466*p**4 - 131868724*p**3 + 921847748*p**2 - 1448219178*p + 658207690 = 0.\nAnswer: 1, 5, 8113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22440 and 11616?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -287585991 less than -0.17?\nAnswer: 287585990.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 34311554153?\nAnswer: 34311554154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 117005.294 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + -16 - -40) + (-34 - 1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39059 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.02 (b) 0.04 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 4*x**3 + 3*x**3)*(-1 - 7 + 0).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (12\/9)\/4*36\/24. What is the smallest value in -0.4, 30, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5*f - 1. Let j(p) = -16*p + 72*p - 24*p - 18*p - 15*p. Determine -4*j(x) + l(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 870975, 870965, 870943, 870903, 870839, 870745?\n\"Answer: -h**3 - 3*h + 870979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41005754.\nAnswer: 2, 20502877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -1110220?\nAnswer: -1111002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 7*a**2 - 2*a - 23. Let m be b(7). Is m*(3 + 12\/(-3)) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 89\/1347 or -1?\nAnswer: 89\/1347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 0*d - d - d + 2 - 2 + (d - 3*d + 4*d)*(-4 + 2 + 7))*(2*d + 2 - 2 + (-3 + 3 - d)*(-2 - 2 + 3)) in the form b*d + q + x*d**2 and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1956*(1972\/1276 - (-2 + (-28)\/(-11))) is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475277229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -155082 + -1?\nAnswer: -155083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 14 = i, -2*i - 5*u + 13 - 20 = 0. Calculate the common denominator of 49\/26 and (182\/(-24))\/1 - i\/6.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + g**2 + 6*g - 14. Let m be z(4). Let d = 154 - m. Suppose 0*c - 3*c = 18. Put c, d, -4 in decreasing order.\nAnswer: d, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 7 + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 20 = 5*h, -2*i - 2*i = 4*h - 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 8*g + 7. Let l be n(9). List the prime factors of (-1 - 1)*(1 + (-1144)\/l).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {u: 4, h: 3, y: 1, n: 1, r: 4, g: 5}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-920)\/138*6\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -39818*j**2 - 7*j - 6. Determine a(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -19384438*f. Let h(b) = -b**2. Determine h(l(k)).\nAnswer: -375756436575844*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.691 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 9:33 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 1228 = 1556. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 21, 1987, 0, 0.2, 10, 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s**2 - 17*s - 23. Give p(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 4*w**2 + w. Does 5 divide l(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1099998*o + 4. Let v be (0 + -1)\/(5\/(-15)). Let c be 16\/4 - v*2. Let h be z(c). Round h to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/15)\/w**(2\/19))\/((w*w**1*w)\/w)**(-2\/163)*(((w\/(w\/((((w\/w**(-5))\/w)\/w)\/w*w)))\/w)\/w**8)**(-45) assuming w is positive.\nAnswer: w**(10445528\/46455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - -39. What is the remainder when j is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1133 + 23?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 538, 2236, 5074, 9058, 14194, 20488?\n\"Answer: i**3 + 564*i**2 - i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 131*r - 611064 = 0. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4610 is divided by 105.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 5, -2\/11, -3\/5, 2, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, r: 2, m: 2, a: 2}. What is prob of sequence ga?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 385*x**4 - 4*x**2 - x**2 - 384*x**4 - 4*x**3 - 5*x**2 in the form u*x + t*x**2 + h*x**4 + d*x**3 + i and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 divided by -43.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2737 + -2742. What is the closest to -0.278 in 1\/2, 0.3, -1\/3, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minus 90481122?\nAnswer: -90481033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 11:52 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -334 or -3668\/11?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.4 - -24. Let t = 11\/29 - 63\/319. Which is the second biggest value? (a) z (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 0.09, 1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*l**2 - 33 + 71 - 47*l**2 - 38.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = r + 5*t, 2*r - 4*t = -0*t + 18. Let u = -13 - -16. Is u >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19579 - -19578. Let f(h) = -23*h - 4. Determine f(u).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/2 + 52*r**3 - 437*r**2\/2 - 270*r.\nAnswer: r*(r - 5)*(r + 1)*(r + 108)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 2*k**3\/3 - 2. Let s(j) = 4*j. Let u(g) = -2*g. Let o(t) = 3*s(t) + 7*u(t). Give o(l(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-108794 + -2)\/2 + -2. Let z = 0 + -2. Let m be u\/6*(-15)\/z. What is m rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1 - 3*t**2 + 0 + 2*t**2 - 4*t + 4. Let i be l(-4). Is (-10)\/15 - (-155)\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/36 and -23\/47252.\nAnswer: 425268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 + 3*a + 59. Let n(y) = -4*y**2 - 3*y - 59. Let w(h) = -6*n(h) - 5*q(h). Differentiate w(v) with respect to v.\nAnswer: -2*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*b = -c + 129*b + 23, 6*b = -2*c + 30 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8882 and 0.26.\nAnswer: 2309.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - y - 6. Let t(r) = -r**2 + r. Determine -c(g) + t(g).\nAnswer: g**2 + 2*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 12:48 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13696038?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 17419020 to the nearest ten thousand.\nAnswer: 17420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 0, 0.3, -0.4, -34, 1\/3, -14\/17?\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*i**2 + 9*i**2 - 22*i**2 + 60*i**2 in the form z*i**2 + u + h*i and give z.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 140 (b) -5 (c) 0.17 (d) 14 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 5*r.\nAnswer: 5*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 8*l - 3. Let j be q(-7). Let p(k) = k**2 + 9*k + 62. Is p(j) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -477056 or -477055?\nAnswer: -477056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 240 + 80. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 14*r - 14958 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (5 - 4) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -11. Let s be ((-1)\/4)\/(y\/116). Let c = -19 + s. What is the remainder when 17 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 0 + (-27 - 89) + 121 + -99.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.569411? (a) -0.4 (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/4 + 69\/60. Let q = -0.3451 - -0.3351. Which is the nearest to v? (a) -5 (b) q (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -483 + 911. Suppose -j = -7*s + 244. What is the remainder when s is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*n = 138*n - 20. Solve -3*a + 7*a + 5*u + 24 = 0, -u = n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -323.0305 and -0.01.\nAnswer: -323.0405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*q + 24*q - 138. Let s(t) = t**3 + 26*t**2 + 54*t - 43. What are the prime factors of s(q)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.3 - 1.5. Let o = w - 21.7881. What is o rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 9*y**2\/2 + 8*y + 4. Let r(z) = -10*z - 9. Let i(x) = -6*g(x) - 5*r(x). Differentiate i(s) with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 + 164. Let m(d) = -d**2 + 2. Give m(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(80) + 0 + 5)**2 + ((-6*(-1*sqrt(50) + sqrt(50)) - sqrt(50) - sqrt(50))\/(-1*sqrt(250)))**2.\nAnswer: 32*sqrt(5) + 484\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 23*d**2 + 2*d. Let w(a) = -25*a**2 + 8*a - 2. Let n(t) = 12*t**2 - 4*t + 1. Let m(l) = -6*n(l) - 3*w(l). Determine s(m(u)).\nAnswer: 207*u**4 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32879 rounded to three decimal places?\nAnswer: -0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 3*q + 11 + 10, q = 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*f + 63189 = 70241 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 14) to base 12.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.133 minus 63429442972?\nAnswer: -63429442972.133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - h = 13, -2*h + 15 = 3*x + h. Calculate the highest common divisor of 15 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p - 28. Let l be v(-3). What is the hundreds digit of 33\/66 + 471\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 14*n + 93. What is d(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-l**3 + l**3 + 2*l**3)*(-1 - 1 + 3) - l**3 - 3*l**3 + 5*l**3)*(-3*l + 0*l + 5*l) in the form p*l + j + g*l**2 + d*l**3 + h*l**4 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152115 is divided by 3513.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 37*w**3 + 4*w**2 + 9. Let n(t) = -9*t**3 - t**2 - 2. Determine -2*h(l) - 9*n(l).\nAnswer: 7*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5 + 2*h - 14 + 9. Let s(a) = 29*a. Calculate p(s(i)).\nAnswer: 58*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101852615 by 25559.\nAnswer: 3985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.1, -1, -3, 570 in descending order.\nAnswer: 570, 0.1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5472, -5470, -5466, -5460, -5452, -5442?\nAnswer: -5430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 13570*v. Let d(k) = 7188*k**2. Calculate w(d(r)).\nAnswer: 97541160*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35779 - -169013. Let z = 66883517\/502 - y. Find the common denominator of z and 137\/12.\nAnswer: 3012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -a + i + 3*i, -5*a + 15 = -3*i. Let n be (-4 - -2 - a) + -10 + 38. Calculate the highest common divisor of 65 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-25)\/(-10))\/((-3)\/(-42)). Suppose b = 8*b - q. Solve -3*z + 10 = -b*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/100)\/(6\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332143 is divided by 65.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4791*m**2 - 31*m - 24. Let v(r) = -2395*r**2 - 13*r - 10. Give 3*f(w) - 7*v(w).\nAnswer: 2392*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 + 21 = 0. Suppose -4*l + 3*g + w = 0, 2*l + 27*g = 29*g + 2. Calculate the lowest common multiple of l and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23623 at most as big as -0.1393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 553*n**3 - 3*n**2 - 20*n + 3. Let j(a) = -1106*a**3 + 5*a**2 + 41*a - 5. Let f(g) = 3*j(g) + 5*t(g). Find the second derivative of f(r) wrt r.\nAnswer: -3318*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -18. Let s = p - 11. Calculate the remainder when s is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 2 - 3*p)*(-3654*p + 90*p**2 + 3654*p)*(0 - 3 + 4).\nAnswer: -90*p**3 + 180*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 14*b + 672 = 154 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24\/60)\/(1\/(-30)). Suppose -2*h - 62 = 3*i, h + 2*h + 66 = -3*i. Let j = i - -5. Is o smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 9*a**2 - 6*a + 12. Let l = -57 - -53. Let o be -1 + -2 - l*6\/(-8). Let m be i(o). What is m rounded to the nearest 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 27, -3*u + 2154 = 3*x - 0*x. Calculate the remainder when u is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 - 3) + (2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 2*o**4 + 4*o**5 - 2*o**2 + o**3 - o**3 - 6*o**5 + 2*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-3))\/1 + 2. Suppose -4*o - 4*s + 1 = -43, -a*s = o - 13. What are the prime factors of 94\/o + (-2)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.3 plus 26?\nAnswer: 87.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 + 2*s + 2. Let u = 26 + -24. Suppose u*k = 3*c - 1, 4*c - k - 4 = -11. Let y(d) = -4*d**2 + 2*d + 3. Give c*g(o) + 2*y(o).\nAnswer: o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 0*a**3 - a**3 - a**3 + 3*a**3 - a**3 + (2 - 2 - a**2)*(2*a - 1 + 1) - 11*a**3 - 18*a**2 + 18*a**2.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 10 (c) 0 (d) -2\/3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12197\/6 - 2048. Let t = 15 + l. Suppose -2*y + y = 0. Is t bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*z - 270. Suppose 283*w - 288*w = -z. Let p = 66 - w. Solve -5*d - 6 + 3 = 4*a, -4*a = -4*d + p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5154114 and 1421.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpgpmygyqrprgrm. What is prob of sequence pryq?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1)*(3*b - 5*b + b)*((-b**2 - 6*b**2 + 5*b**2)*(-1 - 4 + 3) + 0*b**2 - 3*b**2 + 5*b**2) in the form q*b**3 + n*b**2 + f*b + j and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1 - a + 2 + 2*a. Let t(l) = 15 - 4 + 3*l - 10 + 2. Calculate -2*m(h) + t(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 4*m + 14 = 0, 456*m + 15 = -q + 452*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4301305 divided by 6?\nAnswer: -4301305\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -102131220 (base 4) in base 8?\nAnswer: -223550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from echwhwwhwhhhewhhweh?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12a + 6?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -6*p - 4. Let v be i(4). Let n be 2 + (0\/(-7))\/2. What is the smallest common multiple of 6 and (18\/7)\/(-2*n\/v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 1226 + 1091 = 0 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*((-126)\/((-18)\/(-1)))\/((-9)\/(-3))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 1:45 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1084 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -127\/1176, 276, -1\/2 in ascending order.\nAnswer: -1\/2, -127\/1176, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 11. What is the highest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 176670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 268 + 263 = 2*z, -5 = 3*z + 4*o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4494965 divided by -63\nAnswer: 4494965\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v**3 - 9127 - 4*v**2 - 29*v**3 + 4583 + 4601 to the form i*v**3 + p*v + t + z*v**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1446 - -2551?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10693010 a multiple of 1108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 1. Let k be (-6 + 91\/14)*10. Suppose -k*i + 21 = -74. What is the second smallest value in -2, y, i, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-10) - 8\/5. Let k be 0 - (n + 77*1). Let z = 130 + k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 59*f + 500. What is c(48)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 7:36 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5714*q - 89. Let u(r) = -1905*r + 31. Let b(l) = -6*d(l) - 17*u(l). Is b(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*l - 151*k + 149*k, 10 = -5*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211022 + 11233231?\nAnswer: 12110313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*s - 67, 35 = -2*s - 5*m - 16. Let v = s - -27. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4102 = 6*h + 3*j, -3*j + 5129 = 5*h. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*(-24)\/2. Suppose 26 - 2 = 2*m - r, 0 = -m + r + 12. Suppose -s = -m - q. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.826374 to two decimal places.\nAnswer: 10.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 5*n + 2. Suppose -8 = 2*h + 2. What are the prime factors of x(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 6*u + 8. Let q be z(5). Let k be (-36)\/(-8)*(q + -1). Suppose -i + k = w, -37 = -2*w - w + 2*i. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(3\/4)*o)**5*(o**3)**47 assuming o is positive.\nAnswer: o**(589\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2217 - -2227. Calculate the highest common factor of 215 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -378, -22, -4\/7 in descending order.\nAnswer: -4\/7, -22, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (207 - 195) + (0 - (6 - -20)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 6*a**2 - 4*a + 2. Let i be 3\/(1 + 0) + -9. What is the units digit of v(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-72.9.\nAnswer: -291.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (-4*sqrt(171))**2 - (sqrt(152)\/(sqrt(8) + sqrt(32)\/sqrt(4)))**2 - (sqrt(304) + (-1 + sqrt(304))**2*-2)) + -2.\nAnswer: -8531\/4 - 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108319358 rounded to 5 decimal places?\nAnswer: -0.10832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18626164 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 178258947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -4*d - 5*z - 4, 2*d - 5*z = 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1011001101010000010 (base 2) to base 8\nAnswer: 1315202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3904292?\nAnswer: 2, 7, 139439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-24)*-10 + -1. Are h and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = r + 2*s, -23*s + 21*s = -2*r - 4. Solve 11 = -r*z + g, 120*g - 121*g = z + 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.2 (b) -5 (c) 2\/15251\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11530603 is divided by 130?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(243) + sqrt(12) + -2.\nAnswer: -1 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*x + 326 - 257. Sort -2, 45, x, -1 in decreasing order.\nAnswer: 45, x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24726593.\nAnswer: 421, 58733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in 2.3, -3, -1\/5?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 6670.\nAnswer: 73370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -18 (b) -3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -15*n + 38. Suppose -2*s = 3*s - u - 3, 5*u = 2*s + 8. Let o be (-4*3\/(-9))\/(s\/6). Solve -2*t = -o + n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 262, 233, 186, 115, 14, -123, -302?\nAnswer: -529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5881933 + -530.\nAnswer: -530.5881933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.1613.\nAnswer: 0.06452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -148858, -297716, -446576, -595438, -744302, -893168, -1042036?\n\"Answer: -v**2 - 148855*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/85 - 32\/(-60)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 1:43 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.9 + -46. Let n = -0.0077009 + -0.4922991. Which is the fourth biggest value? (a) n (b) 0.2 (c) k (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1268799 is divided by 158586.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 292182, 584195, 876208, 1168221?\n\"Answer: 292013*j + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f**2. Let r(c) = 3469059*c**2. Calculate w(r(p)).\nAnswer: 84240592418367*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 3*q - 7 + 0*q to the form v + g*q and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47778 + -47776. Solve -5*y = -z*r - 12, -277*y + 278*y = -3*r - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (367*o**2 - 3232*o - 365*o**2 + 1087*o)*(-3*o - 3*o + 8*o).\nAnswer: 4*o**3 - 4290*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/732 and 73\/3477.\nAnswer: 13908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.303 - -0.303. Let j = -114 + 44. Is j at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 158.749 and -0.1.\nAnswer: -15.8749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, -4\/5, 1, 0.1 in decreasing order.\nAnswer: 1, 0.1, 0.05, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 254?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**5 + 5*y**3 - 5*y**3 + 0*y**5 - y**5 + 2*y**5 + (-2*y + 2*y + 2*y**4)*(-1 + y + 1) - 6*y**3 + 6*y**3 + 24*y**5.\nAnswer: 23*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 635580?\nAnswer: 2, 3, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 406*i**2 + 0 - 314*i**2.\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8879*g + 71947*g + 72753*g.\nAnswer: 153579*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -23.876, 0.12, -1, 0.3, 2\/39?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115003 = -4646*t + 24377 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10763.\nAnswer: 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 210966?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -1702*g + 943. Let t(c) = -92*c + 51. Let i(q) = 5*h(q) - 92*t(q). List the prime factors of i(-5).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064810 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11 + 15*s**3 + 10 - s + 15*s**3. Let m be o(-1). What is m rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12012320003211 - 2?\nAnswer: -12012320003213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 0. Let z be 1187\/(-2) + f\/2. Let r be (-2)\/7 - 205\/z. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 376 and 226.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19779049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136.7 - -129. Let p = -422 + 402.3. Let j = n - p. Which is the biggest value? (a) -2\/11 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u + 7. Let b be n(3). Suppose 5*v + 14 + b = 4*y, 4*v = -4*y. Sort 4, 1, -2, y in decreasing order.\nAnswer: y, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 8 = -3*r - 123, -5*r = -2*l + 267. Calculate the remainder when 274 is divided by l.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 149, -21, -0.2, -8, 1\/5 in decreasing order.\nAnswer: 149, 1\/5, -0.2, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 6\/11, 5 in ascending order.\nAnswer: -2, 6\/11, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1614757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 93786859 - -0.9732?\nAnswer: 93786859.9732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-210) + (-90)\/(-84). Suppose 0 = -0*v + 4*v - 4. Let t(f) = v + 2*f**2 - 4*f**2 + f**2 - f. Let k(o) = 3*o**2 + o - 2. Give g*k(x) + t(x).\nAnswer: 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = -x + 37. Let n = 81 + x. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 40 = 3*n, 5*l + 50 = 4*n + n. Suppose -95 = -n*s + 135. Let d = s - 24. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -310\/13 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l*l*l*l\/(l*(l**5\/l)\/l*l)*l)))\/l)**(-28\/9)*(l\/(l**(-1\/5)*l))**14 assuming l is positive.\nAnswer: l**(406\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -11280816 at least -11280814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u - 5. Let s(h) = -8*h + 6. Let y(m) = -5*s(m) - 6*w(m). Let v(j) be the third derivative of -7*j**4\/24 - j**2. What is v(y(a))?\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 3)*(11 + (-7 - 57\/15))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 7*i - 2. Let j be y(8). Suppose q = -2*x + 10, -2*x = -4*q + j*q - 14. Suppose -b + 6*n + 12 = q*n, -3*b - 4*n = -86. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-9\/2))**(2\/17) assuming g is positive.\nAnswer: g**(11\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2374 - 2349. Solve 20 = -21*s + x*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18508067.\nAnswer: 71, 260677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 7 = -3. Let l = -7 - -5. Let d = -5 - l. Sort 0.3, d, j in increasing order.\nAnswer: d, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17192 + -17191.934. What is the second biggest value in 0, -16\/9, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16437543975807 - -0.4?\nAnswer: -16437543975806.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3377 + -3320. Suppose -3*s = 3*d, 11 + 4 = -3*d. What is the remainder when w is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28123 - 28115 + 84342 + z**2 - 28104.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -t**4\/12 + t**3\/6 + t**2\/2 - 22*t. Suppose 2 = 3*s - 2*s. Let k(m) = 4*m**2 + 0*m - 4*m - 2*m**s - 4. Give -4*i(v) - k(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8910 is divided by 226.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57504 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*i + 23. Solve i = -2*y - c, -2*y - 4*c - 2 = -4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -26*a + 2932. Let f be i(0). Suppose -4*l + 2*q = -f, 4*l - 3*q = 9*l - 3643. List the prime factors of l.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**7)**45 assuming h is positive.\nAnswer: h**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/55*3\/((-604)\/18875*(-5)\/4)\nAnswer: 45\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - 7\/((-7)\/4911) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1393674*s**4 + s**2 - 14*s - 3461 wrt s?\nAnswer: -33448176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*f**3 - 3 + f**4 + 0*f**2 + 2*f**2 in the form l*f + t*f**2 + h*f**4 + n + m*f**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 262 + -262. Suppose -4*w - 592 + 3516 = f. What are the prime factors of w?\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/4))**33\/(((((x*x**3)\/x)\/x*x)\/x)\/((x\/x**1)\/x))*(x**(-1\/3)*x)**6\/(x*x**(2\/3))**(1\/27) assuming x is positive.\nAnswer: x**(13669\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + 2*sqrt(7) + 1*sqrt(567) - (-4*(-1 + sqrt(7))**2 - (1*sqrt(112) - sqrt(7))))*3.\nAnswer: 18*sqrt(7) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(68) + 1) + -2)*3)**2*-5.\nAnswer: -110880 - 4320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.9511 + -18.9189. What is b rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 250 divided by -22\nAnswer: -125\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 4, -4, -2, 0 in descending order.\nAnswer: 4, 0, -2, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 - 224*a**3 + 228*a**2.\nAnswer: -4*a**2*(a - 1)*(a + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/627*9*19. Let l = 31 + -11. Solve x = -g*x - l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-14)\/(-60))\/(-7))\/(2\/(-5)). Let n(h) be the second derivative of -c*h**3 - 1\/48*h**4 + 2*h + 0 - 1\/8*h**2. Factor n(a).\nAnswer: -(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p - 19. Let m be g(7). Let q be m\/((-1)\/5*-5). Put q, 3, 1\/2 in descending order.\nAnswer: 3, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**5\/40 - n**4\/4 + 4*n**3\/3 - 3. Let x(l) be the third derivative of v(l). What are the prime factors of x(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/390034 and 16\/35167.\nAnswer: 4290374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + 2.6. Let q = 21.8 + -21. Let l = q + -5.8. Which is the second smallest value? (a) l (b) r (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-1*(sqrt(28) + sqrt(7)))**2 + 1 + 0 - (-1 + sqrt(7) + 1 + sqrt(7) - 1*sqrt(28))**2*-3))*-1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5551 or -5538?\nAnswer: -5538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by 4?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 10:10 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(220\/(-15)))\/(31\/(-31))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/12*(-20)\/(-45). Factor -9\/2*q**4 - 1\/2*q**2 + 0 + 0*q - 3*q**3 - w*q**5.\nAnswer: -q**2*(q + 1)**2*(4*q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**3 + 5*i. Let d be 2 + (0 - (-52)\/(-2)). Let k be (-68)\/d - 1\/(-6). Suppose -k*f = -0*f + 9. Let c(y) = 2*y**3 + 2*y. Give f*z(p) + 7*c(p).\nAnswer: 2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 153 + -159. Let t be (-23 + 23)\/(d\/(-2)). Which is the closest to t? (a) 10 (b) -0.1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f - 2. What is n(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 164?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 - (125 - 105 - -184)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**3 - 23*o**2 + 19*o + 150. Let t be m(-7). Calculate the highest common divisor of t and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6523 and 39721?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aixiiiiiixyxiaix?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/12)\/(-5)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16090 + -6513. Suppose -c - 9663 = -20*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40678 and 11352.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 2, u: 2, p: 3, e: 1, c: 10}. What is prob of sequence ou?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -147 - 3?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -4)*-1 - (-3 + sqrt(28)\/sqrt(4) + -1).\nAnswer: -10*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 bigger than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 550003*a + 18. Let z be p(-6). Round z to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*i = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2\/5 + 273*a\/5 + 3708\/5 = 0. What is a?\nAnswer: -12, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24227.5 rounded to the nearest 100?\nAnswer: -24200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (-7)\/10) + (-60)\/(-150). Which is the closest to 1? (a) s (b) 8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -440 >= -442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -2, -1\/4, 2 in descending order.\nAnswer: 2, -0.1, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 342 - 316. What is the highest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 3. Let y be a(0). Suppose -140 = -y*u - u. Does 35 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 11 + (2 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 12, f: 1, q: 1}.\nAnswer: 66\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - -179. Let q = z + -224. Calculate the highest common factor of q and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3\/3 - 434*k**2\/3 + 5782*k\/3 - 19894\/3 = 0.\nAnswer: 7, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-435)\/6)\/5 + (-99)\/66\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.09, -1 in increasing order.\nAnswer: -1, 0.09, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1721839400 to the nearest 100000.\nAnswer: 1721800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 441873270 to the power of 1\/2, to the nearest integer?\nAnswer: 21021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559189?\nAnswer: 19, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 + 33129392*n + 137194576786208 = 0.\nAnswer: -8282348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 1.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 9. Let j be u(-4). Is j\/2*(14 - 3 - -1) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (4 - 5 - 4)) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4 - -1) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*(sqrt(153)\/sqrt(9) + -3) - (3*-4*sqrt(833))**2) + 4) + -5.\nAnswer: 9*sqrt(17) + 359812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -14*b**2 + 11*b + 3. Let f(m) = m**3 + m**2 + 5*m - 5. Let w be f(2). Let h(k) = 5*k**2 - 4*k - 1. Calculate w*h(j) + 6*c(j).\nAnswer: j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -5\/16, 42?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 17*f - 5 = 0. What is the common denominator of (-1)\/1 + (f - (-228)\/(-8)) and -85\/242?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 61 = -3*n. Do 17 and n have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/24 + 812\/(-112)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -134334315 divided by 465\nAnswer: -288891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-472)\/(-64))*(-2)\/(-20)\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 4*z - 1246 = -6*z, 2*g - 2*z = -618. Let k = 449 + g. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*c = 5, -8 = -4*t - 0*t + 4*c. Suppose 5*n + 0*p - p = 49, 5 = n - 5*p. What is the remainder when n is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (14 - (11 + -24 - -31))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4033 (base 6) in base 2?\nAnswer: 1101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -11. Let k be 4848\/(-54) - 6\/27. What are the prime factors of (n\/(-5))\/(2\/k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -153, 373, 3081, 9471, 21043, 39297, 65733, 101851?\n\"Answer: 250*g**3 - 409*g**2 + 3*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 813589685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44419 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - v - 2 = 0, 3*u - 250*v = -122*v + 256 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*a - 9. Let q be (-9)\/((-45)\/10) + a. Suppose -53192 = q*x + 2*o, 5*x - o + 66496 = -2*o. Round x to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -0.5, 5, 1423, -100 in ascending order.\nAnswer: -100, -0.5, 0.7, 5, 1423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.111 and -1182.\nAnswer: 131.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = 6. Suppose 2*t + t + 5 = 4*u, 0 = -2*u - t + z. What is the smallest value in -3, u, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1624, -6499, -14624, -25999?\n\"Answer: -1625*r**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -635 - -1229. Is 1\/3 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 663630 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*j**2 - 410*j**2 - 412*j**2 + 1251*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + h - 6 = 0, -13*s + h = -16*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -300990*a*g**3 + 27*g**3 + 809*g wrt a?\nAnswer: -300990*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 2)*(0*z - 4*z + 2*z) - 4*z + 3*z + 7*z - 2*z - 1 + 1 - z + 4*z - z + (1 - 1 - 2*z)*(1 - 2 + 3) + (1 - 3 - 3)*(3*z - 2*z + z).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312166671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 76226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 6*r - 1. Let o be h(5). What is the derivative of 23 + 968*s**2 - 25*s**o - 968*s**2 wrt s?\nAnswer: -100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 1)*(1 - 3 + 6)*(2*v + 0*v + 5*v) to the form l + q*v and give q.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174 = -23*d - 220 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 711 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 t when two letters picked without replacement from ggxtxxxxxgltxltxl.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + -11 + (74 - 87)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*g + 110 = t, 5*t - 3*g - 131 = 0. What is the common denominator of -43\/6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3158 - 3145. Let i be -2 - (2 + -1 - 1). Let z be ((i - -3)*-3)\/(-1). Solve q - 2*y + k = 0, -3*y + z = q - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13392, 13383, 13362, 13323, 13260, 13167?\n\"Answer: -q**3 - 2*q + 13395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + t**2 + t + 2. Suppose 5*x - 11 = -b, 3*x = -0*x - b + 7. Let w be s(x). Suppose 3*v - 29 = -h, -3*v + v + w = -4*h. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (6 + -18)) + (1 - 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -30. What is the nearest to 0 in q, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s**3 - 8*s**2 - 23*s + 243. Let c(n) = -23*n**3 - 18*n**2 - 47*n + 486. Let l(r) = 4*c(r) - 9*f(r). Find the first derivative of l(i) wrt i.\nAnswer: 21*i**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 91410181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 0.01858?\nAnswer: 1.98142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 + 196. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.075 (b) -0.2 (c) 43 (d) 0.11 (e) -4 (f) -2\/13 (g) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122308 or 122303?\nAnswer: 122303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1620*i + 493 = -1603*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d + 0*d - d)*(-2*d + 4*d - d)*(8 + 12 - 3)*(3 - 6 + 1) + 0 + 3*d**2 + 0 + 0*d**2 + 2*d**2 + 0*d**2.\nAnswer: -165*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 4\/9, 54, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12232322232 (base 4) in base 11?\nAnswer: -aa6110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 23943 = -3*f + 23935, 4*b + 4*f + 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1343 or -1337?\nAnswer: -1343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 364470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.579 + -0.564. Round f to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 4*t**2 - 6*t - 5. Let f be w(-3). Solve 3*c = -3*r + 27, -5*r + 4*r + f*c - 11 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -0.12. Let o = 79 + -78.05. Let n = -1.25 + o. What is the third smallest value in d, -3, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 66865414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o*q**3 + 24*o*q - 20*o - 1 wrt q?\nAnswer: -6*o*q**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**5\/60 + w**4\/24 - w**3\/6 + 26*w**2. Let o(c) = 2*c**3 + 2*c**2 - 3*c + 1. What is j(s) + o(s)?\nAnswer: 2*s**3 + 3*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 11514100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 2. Let o be h(7). Let j = 9 + o. Suppose -4 + j = 4*n. Sort 5, n, 4 in decreasing order.\nAnswer: 5, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, h: 4, a: 1, k: 1, p: 1, j: 3}. What is prob of picking 1 k and 1 p?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o + 22236 = 3*f + 29*o, o = -3*f + 22224. Does 203 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(5) + sqrt(25)\/(sqrt(5) + sqrt(5)*1) + sqrt(5))*-6 + 2 + (sqrt(45)*2)\/sqrt(9))**2.\nAnswer: -26*sqrt(5) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 69*(-24)\/(-18). Let x = 131 - m. Calculate the highest common factor of 176 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1440, -3292, -5144, -6996, -8848, -10700?\n\"Answer: -1852*x + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-264)*-124 + ((-10)\/(-14) - (-440)\/(-420))?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 48393.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*s, 4*z - 4*s + 2*s = 18. Suppose 0 = z*m - 3*t - 8 - 14, -4*t - 8 = 4*m. Suppose m*j - 38 = 48. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-48)*-4)\/(-1))\/(691\/2073)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/17))\/(c**(11\/2)\/c))\/((c**7\/c)\/(c\/(c*c**(-1\/12)*c)*c)) assuming c is positive.\nAnswer: c**(-1909\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39323111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 r when three letters picked without replacement from {g: 5, e: 5, r: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629755778?\nAnswer: 2, 3, 7, 5543387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (7 - -8) - 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (-31 + -38 + 3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5 - 332*l**4 + 13430*l**3 + 29892*l**2 - 68544*l - 84672 = 0. What is l?\nAnswer: -3, -1, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/120 + b**5\/6 + b**4\/6 + 7*b**3\/6 - 7*b**2. Does 14 divide g(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10096 + 10108. What is the greatest common factor of 3354 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*z - 3*i - 32, 3*z = -2*i + 55. Suppose -2*f = 2*f - 68. Suppose f = -2*u + 3*u. Calculate the highest common divisor of u and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 30*z = 75. Which is the closest to -0.01? (a) z (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 5816 - 5822 + l**2 + 11636 + 31*l to m*l + s*l**2 + j*l**3 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 310\/752*(-532)\/(-20). Let n = 17\/188 - r. Find the common denominator of n and 63\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - y)*(-4*y + 3*y - y)*(-1 + 1 - 1)*(2*y - 2*y + 2*y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/20)\/(126*(-49)\/(-61740)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 - 2.03. Let h = 18.8 + -19. What is the third smallest value in h, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -505917, -505915, -505913?\n\"Answer: 2*u - 505919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + x = -115, x + 189 = -j + 158 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express w**2 - 2*w + 1 - w**4 - 2 + 0*w**4 in the form r + f*w**2 + y*w**3 + h*w + n*w**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2982 = -5*n + 26, 3*p - 2222 = 5*n. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 7*u**2 - 9*u**2)*(1 - 1 + u).\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 371 + 187 + 45*k**3.\nAnswer: 45*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:32 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -4. Solve -f - h = 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 397 and 136221?\nAnswer: 54079737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1905*t - u - 152 = -1907*t, 2*u = t - 97. Suppose 0 = l - 3, -5*s - 178 = -6*s + 2*l. Calculate the greatest common divisor of t and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7866, 63643, 215240, 510567, 997534?\n\"Answer: 7985*x**3 - 118*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454090?\nAnswer: 2, 5, 7, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -14, -11, 6, 43?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.53 plus -465581389252?\nAnswer: -465581389258.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*w - o, 12 = -2*w - 3*o + 4*o. Let z be (11\/((-110)\/w))\/(1\/115). Which is the biggest value? (a) -2 (b) -0.5 (c) -3 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (7 + (-9 - 0))) + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 636 and 2332?\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65 and 4230?\nAnswer: 54990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15f8 (base 16) to base 8\nAnswer: 12770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36 + (16 - 71) + -8\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/41 (b) -6 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 12:10 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 1\/((-21)\/(-195)) + -5. What is the smallest value in m, 4, -0.11, 0.3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 + -3. Let u = 53768 + -53764.3. Put x, 1, 0.1, u in descending order.\nAnswer: u, 1, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 5*d**2 + 7*d + 8. Suppose 0*g + 2*g = t - 12, 3*g - 2*t = -18. Let v be h(g). Does 17 divide 53 + (-3 - (-2)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/4 + 2*p**3 - 3*p**2\/2 - 3*p - 1. Let t = 1 - -4. Is z(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c3926 (base 13) in base 2?\nAnswer: -111000000010000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -55. Which is the third biggest value? (a) 0.4 (b) u (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**6\/210 + 19*n**5\/105 + 17*n**4\/21 + 1557*n**2 + n. Factor p(t).\nAnswer: 4*t*(t + 2)*(t + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 99*l**5\/7 - 26319*l**4\/7 - 27513*l**3 - 189141*l**2\/7 - 13140*l\/7 + 1404 = 0.\nAnswer: -6, -1, -1\/3, 2\/11, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31364.92 + -31365. Let m = 1 + -0.5. What is the closest to -0.1 in k, -1, m, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -1. Let m(r) = -r + 2. Suppose -4*x + 12 = 2*f, 2*x = 5*f - 2*x + 26. Calculate f*m(t) - 2*z(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f. Let l be 2 - (7 + -3 + f)\/(-2). Suppose 0 = 3*w + l*s - 602, -3*w + 663 = s + 67. Calculate the highest common divisor of w and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 15*j - 3. Let t(s) = -3*s**2 - 2*s + 4 - 1 + 4*s**2 - 12*s. Let l(v) = 4*g(v) + 5*t(v). Let x(w) be the first derivative of l(w). Give x(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + -17d44?\nAnswer: -17d51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 21*w**2 + 21*w - 20. Give m(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1456*x**2 - 321 + 1433*x**2 + 315.\nAnswer: -23*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 2*w**2 + 5 + w - 2 - 1088*w**3 - 352*w**3.\nAnswer: -1440*w**3 - 2*w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90\/7*j**4 + 152\/7*j**3 + 352\/7*j**2 + 192\/7*j + 32\/7 - 50\/7*j**5 = 0. Calculate j.\nAnswer: -2, -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4087 and -20832.\nAnswer: -85140384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 3*v - 16, -3*v = -4*i - i - 17 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of c**4\/42 + 2*c**3\/7 - 116*c. Factor f(r).\nAnswer: 2*r*(r + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w = 25*w - 32. Suppose 3*l - 2411 = 22*q - 20*q, -3214 = -w*l + 2*q. Is 65 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23622*c**2*l**3 - 20*c**2*l + 2*c**2 - 5*c - 3364 wrt l.\nAnswer: -70866*c**2*l**2 - 20*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 5*o = 3*y + 32, 484 - 443 = 5*y + 4*o for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m = 3*m + 3*p + 18, 0 = -3*m - p - 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w + 4. Let m be s(-4). Let t be (-5 - m) + (1 - -5). What is the third derivative of -3*c**2 - t*c**6 + c**2 + 3*c**6 - c**2 wrt c?\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4 - 152473.\nAnswer: -152471.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r**2 - 18*r + 10*r**3 + 24*r + 11*r**3 = 0 for r.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 372 + -306. Suppose -65*b + w*b = 354. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809305.\nAnswer: 5, 7, 19, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*o + 28 = -3*o, -4*o = 3*f - 98. What is the highest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2414 (base 6) to base 5.\nAnswer: -4321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/25)\/(k*k\/((k*k\/(k*k*k*k**(5\/8)))\/k))*k*k**(-11\/6)*(k*(k\/k**26*k)\/k)\/k assuming k is positive.\nAnswer: k**(-18347\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 2. Let w be b(0). Let a(k) = 4*k**2 - 5*k**w + 2*k**2. Let y(n) be the third derivative of n**4\/8 - 5*n**2. Calculate y(a(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 10*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-18)\/12 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + h, -v - v + 4 = -2*h. Let n(s) = 0*s**2 + 5*s + 6*s**2 - 5*s**2 - 5. Let o be n(-5). What is the closest to 0 in o, v, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -8, -915, -3\/7, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21001 (base 3) in base 6?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154 - 46 - 32)*(4*m + 0*m + 0*m) + (0*m + m + 2*m)*(3 + 1 - 2).\nAnswer: -922*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + 13 + -17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 432.91 - 433. Which is the nearest to 1\/2? (a) -2 (b) -3 (c) 5 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -13*v + 3. Let b(p) = -16*p + 5. Let j(u) = 5*b(u) - 6*r(u). Suppose -2*o + 8 = -2. Calculate j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4493 - -22466\/5. Which is the closest to -2\/9? (a) -37 (b) 1 (c) v (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 17*i - 13*i + 60 - 2*i - 10075*i**3 + 10077*i**3.\nAnswer: 2*i**3 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, -5, -2.\nAnswer: -5, -2, -2\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and -6?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 - -695\/7. Which is bigger: 1\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3968, 0, 5, 17, 3, -9.\nAnswer: -3968, -9, 0, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.014317 rounded to 1 decimal place?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3418327401 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 20\/11)*3\/1. Suppose 0*y = -y. Is y != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905695 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1580*x - 682467. Determine c(-432).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)*q\/(q**2*q))\/(q\/((q\/(q\/(q\/(q\/q**(-1\/3)*q)*q)*q))\/q)*q**4) assuming q is positive.\nAnswer: q**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1988280 divided by 16569.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3496977 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgf when three letters picked without replacement from {f: 4, l: 5, g: 1, z: 8}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 136, 142, 150, 160, 172, 186?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 7:35 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -19 + 10 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 600*x + 1753 = 599*x, x - 1757 = -3*m. List the prime factors of m.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 46, 94, -2, 4\/3, 0.3, 2\/9, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 3*z + 28 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*r + 95*r - 196. Let a = 29 - 27. Solve -6*j = -a*j + r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:14 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 9. Suppose u - 273 = -0*u. Suppose -5*q - v*o + u = 0, 2*o + 45 = q - 0*o. Calculate the remainder when q is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.18748005 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4959*c - 4670*c + 20213*c + 13740*c + 14955*c to the form g*c + d and give g.\nAnswer: 39279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3675798079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 - 760 = 32*n + 1485 for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 7182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5623046872?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 415 - 7 = 0. Suppose -5*i - l = -114. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16)\/o*((o**(-14\/3)*o)\/o)\/o)\/(o**(-2\/23)*o\/(o*o**20*o)) assuming o is positive.\nAnswer: o**(-109\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(363) + 1)*-1 + (sqrt(96)*-1 + sqrt(96))\/((sqrt(2)*1 + sqrt(2))*2))**2.\nAnswer: 110*sqrt(3) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 11. Let m be i(0). Let d = m + 13. Suppose -d*f - 2*f = 320. What is f rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6780, -7482, -9402, -13146, -19320?\nAnswer: -28530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1815\/(-95) - (-2774)\/146) + ((-815)\/19)\/1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192425, 384883, 577373, 769895, 962449, 1155035, 1347653?\nAnswer: 1540303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 801 and -0.1.\nAnswer: -80.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 236, 477, 732, 1007, 1308, 1641, 2012?\n\"Answer: k**3 + k**2 + 231*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fuqkxxfkxfkfx. What is prob of sequence fq?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/15 + 398*z**4\/15 + 6666*z**3\/5 + 6534*z**2\/5.\nAnswer: 2*z**2*(z + 1)*(z + 99)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (11 - (10 + -8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -917?\nAnswer: 1834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 24*m - 221. List the prime factors of o(19).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 747, -23 in ascending order.\nAnswer: -23, 4, 747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 338 = -334 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1365 = -94*w + 89*w. What is the highest common divisor of w and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -420\/79 - -15107\/2054. Calculate the common denominator of -31\/117 and z.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 101660.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:47 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 13 = -5*l, 5*l = 6*l - a + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = d - 15201, 0 = -158*d + 155*d + 6*a + 45561. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.454 - 2.354. Let c = 7 - 52\/7. Put -0.16, k, c in decreasing order.\nAnswer: k, -0.16, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42214, 42309, 42466, 42685, 42966, 43309?\n\"Answer: 31*o**2 + 2*o + 42181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 2:18 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38211496 - 1877.1?\nAnswer: 38209618.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - -5. Suppose 4*i - 18 = f. What is the greatest common factor of 10 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -4*u - 15, 0 = -5*k - 6*k + 13*k - 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -524530716*i**2 - 705217132?\nAnswer: -1049061432*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -205 - -69. Let q = k - -140. Solve v - 15 = q*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -2.759.\nAnswer: 2.759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 4*p**2 + 5*p + 4. Let l be w(-5). Suppose -l*u = 23 - 3. Let o(s) = 319999*s - 5. Let k be o(u). Round k to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4693107 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 20*t - 21*t + 639, -4*t + 633 = j. Does 126 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (14 + -7 - -24) + -9. Solve -b*i = -8*i - 14 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v. Calculate i(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(-t + 0 + 0)*(-29 + 108 + 85)*(-6 - 9 + 18) to the form j + k*t and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33568 and 202326924.\nAnswer: 4196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -311?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 668, -10 in increasing order.\nAnswer: -10, -3, 668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 4:29 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 20 = -3*r, r - 5 = c - 2*r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3) + -2 - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -681505 divided by -136301.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25b947 (base 12) in base 9?\nAnswer: -1146731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4 + (1 + sqrt(1300) - (sqrt(13) + (0 + sqrt(13) + -3 - sqrt(13))))**2 + ((sqrt(208) + 1 + sqrt(208))*1)**2.\nAnswer: 88*sqrt(13) + 1896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.7167 less than -20138.8?\nAnswer: -20124.0833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/693779 and -81\/62.\nAnswer: 43014298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*u + 123 = -382. Solve -6*x = u + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14287 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d*d**(-31))\/d*d)\/d)\/(d**(-5\/6)*d))\/(d**14*d*d*d\/(d\/d**(-2\/105))) assuming d is positive.\nAnswer: d**(-9691\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*a**3 + 5 - 5 - 267*a**3.\nAnswer: -227*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, -38, -79, -126, -173, -214, -243?\n\"Answer: a**3 - 12*a**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -15*t**2 + 341*t + 95. Calculate i(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252.7 - -3100993415?\nAnswer: 3100995667.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u\/(u*u*u**(-1\/18)))\/u*u**(-1\/7) assuming u is positive.\nAnswer: u**(-137\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -979757*i - 9797517. Calculate v(-10).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 11\/5 (b) -0.242 (c) -0.3 (d) -3 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*2 - (-3 - -7). Suppose y - 9 = -2*o, 5*y + a*o - 20 = 7. Suppose 0 = -4*k + y*r + 147, -r + 167 = 4*k + 24. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 918872441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162, -165, -162, -147, -114, -57, 30?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-30))\/((-1)\/(50\/(-20))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 2) + (2 - -9). Let n(g) = -g**2 - 10*g. Let c be n(-10). Suppose c = -d + 14 + h. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10004961 or -10004956?\nAnswer: -10004961","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.009 + 3.221. Round k to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(19))*4 + -5.\nAnswer: -17 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 83*n + 48 - 171*n + 89*n. Suppose 0 = 2*q - 2*f - 10, -2*q - 3*f - 2 = 13. Let a be m(q). Calculate the highest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, -18.93, -2\/15, 152, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.33 minutes in hours?\nAnswer: 1.0555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3905756 is divided by 160.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 90 = -2*n, 2*n - 7*n = -4*q + 127. Calculate the remainder when 5961 is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -75\/5609 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 316683 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -9*w. Let t(z) = 22*z**2. Calculate t(s(m)).\nAnswer: 1782*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(((r*r**(-5)\/r)\/r)\/r))\/(r\/r**(11\/4))*r\/r**(-1\/8)*r**8 assuming r is positive.\nAnswer: r**(159\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-102)\/(-7) + (-34)\/(-14) + -2. What is the greatest common factor of 120 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 286790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p + 4. Let m(y) = -12*y + 39. Let o(h) = 7*h - 25. Let n(a) = 5*m(a) + 8*o(a). What is -2*f(l) - 3*n(l)?\nAnswer: 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p*p**(-1))\/p))**6*p\/p**(-4)*p**(2\/3))\/(((p*p\/p**(3\/8))\/p*p*p*p*p**5)\/(p**0*p**(1\/4))) assuming p is positive.\nAnswer: p**(367\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.1, -2, 0.1, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -100?\nAnswer: -7\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f + 21. Calculate x(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792686.\nAnswer: 2, 29, 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21385 = -l - c + 4592, -2*c + 16799 = -l. Let r = 7335 + l. Let p = 360 + r. Round p to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 15\/4 (b) 69 (c) -0.5 (d) -5 (e) 0.06 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.29509t?\nAnswer: 2295090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 2:30 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*b = 209*b - 198. Solve 0 = 3*n - n + 4*d + b, -15 = 3*d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -18*t - 18. Let p(r) = -41*r - 37. What is 7*j(v) - 3*p(v)?\nAnswer: -3*v - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28)\/(-10) + 6\/30. Suppose 4*j = 6*j - 2*k - 38, -d*j + 81 = 5*k. Let u = 12 - 0. What is the lowest common multiple of j and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 576 in decreasing order.\nAnswer: 576, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 45*v**3 + 9*v**2 - 177*v - 933. What is b(-5)?\nAnswer: -5448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -7534.\nAnswer: 7534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3113, 3096, 3077, 3056?\n\"Answer: -s**2 - 14*s + 3128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101073.3 rounded to the nearest one hundred?\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 653778 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4308942311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2748)\/(-18) + 0 + 0. Let h = w + -4870\/33. Calculate the common denominator of h and -61\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*3 + 2)**2.\nAnswer: 72*sqrt(17) + 5512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5390766 and 88.\nAnswer: -474387408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*c = -289, -k - 3*c + 93 = -c. Suppose -4*p + 57 = z, 5 = 5*p - 3*z - 62. What is the remainder when k is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12622293*w**2. Let q(t) = -5*t**2. What is r(q(z))?\nAnswer: 315557325*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 2*k**3\/9 - 229*k**2\/9 - 308*k\/9 - 135. Factor q(p).\nAnswer: 2*(p - 77)*(3*p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 + -66. Suppose 7 = -w + x. Calculate the smallest common multiple of w and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20 - ((-20)\/4 + 4). Suppose -45 = 18*m - g*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225434.\nAnswer: 2, 11, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19097?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56 + 15?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -35*v + 57*v + 3 - 6*v**2 - 1 + 8*v**2 - 27*v. Let c(j) = -7*j - 39. Let z be c(-6). Calculate o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9711\/19 + -511. Let h = 0.1 - 5.1. Let l = h - -4.6. What is the third smallest value in -1\/5, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 382541.6kg?\nAnswer: 382.5416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffafffaffaaaa. Give prob of sequence aaa.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:48 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -1. Let w(i) = -i**3 + 2*i**2 + 3*i - 3. Let n be w(a). Solve 11 - 2 = n*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 208619 (b) -4\/3 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p - 37 = 11. Suppose -2*h + 1 = -3. Sort h, -2, p in descending order.\nAnswer: p, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4059, -4, 7, 1, 4 in descending order.\nAnswer: 7, 4, 1, -4, -4059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 842701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 17*k - 3085 + 10139.\nAnswer: -12*k + 7054","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/91609725 and 7\/600.\nAnswer: 732877800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -4, -79, 9, -3\/5, -0.09.\nAnswer: -79, -4, -3\/5, -0.09, 0.02, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123 by 1.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/5 - -2\/5. Which is the nearest to 1? (a) 2 (b) q (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l - 6. Let s(r) = 7*r + 0 + 4*r + 13. Let c(a) = 7*g(a) + 3*s(a). Give c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 0, 1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - t + 2. Let a be (-63)\/84*(t - (-2 + 4)). Let o = 0.02 + -0.42. What is the closest to 0 in 0, a, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.247 + 0.053. What is the biggest value in -1\/17, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2894826*c**4 - 12*c**2 + 12*c + 473 wrt c.\nAnswer: 69475824*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - 50.47147751.\nAnswer: -74.47147751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q - 5. What is the least common multiple of i(3) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*p + 3822 = -69*p. Does 7 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1292, -28, -2, 4, 2 in descending order.\nAnswer: 4, 2, -2, -4, -28, -1292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 103*z**2 - 99*z**2 - 2 + 204*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 218221111*v**2 - 417265*v + 957 wrt v.\nAnswer: 436442222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + 60. Calculate the greatest common factor of s and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 27*w - 2080 = 31*w, -2*w = 2*s - 1060. Calculate the greatest common divisor of s and 1295.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (335\/(389270\/(-664)))\/((-2)\/(-77))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**5\/9 - 328*w**4\/3 - 36328*w**3\/9 - 32192*w**2 - 629524*w\/9 - 125048\/3 = 0.\nAnswer: -203, -33, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6041 is divided by 50?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751146414.\nAnswer: 2, 3, 9973, 12553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h + 0*h - h. Let x(u) be the first derivative of u**3\/3 - 88. Determine x(s(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(13440\/1624)*15?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 3. Let i = -1411\/3325 - 2\/475. Which is the third smallest value? (a) l (b) i (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/162 > 54033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 2\/7 (c) 0.035 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 63*f - 124*f - f**2 + 59*f + 529. Is r(0) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbw. Give prob of sequence bw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 153 - 583 = 0. Suppose -4*q = -2*p + 114, -2 = -2*q + 8. Let j = p + n. What is the highest common divisor of j and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*a + 13 + 2 = 0, v = -2*a + 3. Let m(k) = k**2 - 15*k + 11. Let j(o) = -o**2 - 17*o + 12. Let i(u) = -5*j(u) + 6*m(u). Is i(v) a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 5 + 5. Suppose 4*p = -16, -4*v = 7*p - m*p - 232. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(4\/5))**36 assuming s is positive.\nAnswer: s**(324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by -21.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2116 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 278*a + 5609. Determine d(-19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0)\/(1\/7). Let f = 0 + k. Let d(r) = 15*r - 28. Is d(f) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/9 - -1\/18. Let f = -163 + 1139\/7. Let o be (-368)\/88 - (-4 + 0). What is the nearest to f in o, j, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4149867 to the power of 1\/2, to the nearest integer?\nAnswer: 2037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 153 = -a - 3*a + 188, 4*a = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5484075885?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -803420 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m. Suppose m = 3*n - 2*n. Solve 3*l - 2 = -5*y - 0*y, n = -3*l + 2*y + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02686 to four decimal places.\nAnswer: -0.0269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40\/9 + -298\/63. Let b be 2 + (-16)\/7 - 26\/(-91). What is the biggest value in r, 0.2, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 12:03 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 30 = 2*z. Let x = z + -12. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(24))\/sqrt(8) + 4 - (sqrt(27) - (sqrt(27) + 1) - sqrt(12)\/sqrt(4)*6).\nAnswer: 5 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**3 + 6*s**2 - 2*s. Let k = -2 - -13. Let w(y) = 6*y**3 - 11*y**2 + 4*y. Determine k*f(c) + 6*w(c).\nAnswer: 3*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnpnrllnnnnlrtnll. Give prob of picking 3 l and 1 r.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -170 + 165. Which is the nearest to -1? (a) -1 (b) t (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1148957964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-2)\/(1 - 3). Is (m + -18)*(4 + -11 + 2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -302061640 + 0?\nAnswer: -302061640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crttrttrrctt. What is prob of picking 1 t and 3 r?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-1*(-2 - 9). Suppose t = -2*j - 5*r, j - 27 = r + 3*r. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 12*p - 35. Let k be u(-8). Let q(x) = 3*x + 1. Let m(o) = -13*o - 3. Let d(g) = -2*m(g) - 9*q(g). Give d(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605 is divided by 288.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 18 - 37. Solve 4*v = -n + 4*n + 7, 4*v - n - i = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) + sqrt(121)*1)*6 + sqrt(121) - (1*sqrt(121) + sqrt(121))*5)\/((sqrt(1584) + 5*sqrt(1584) - sqrt(1584)) + sqrt(1331)*-4).\nAnswer: 3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20424472 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 219*g**2 - 2*g - 1. Let o be c(2). Suppose 4*k = -j + 9*k + 155, k = 5*j - o. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8363 + 10b?\nAnswer: 8472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 3:13 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 0.08 (c) 1\/135 (d) -0.5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 61.1369 micrograms?\nAnswer: 0.0611369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/5)\/(2\/5). Suppose -5*l + i + 3 = -17, 0 = k*l + 4*i - 40. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 + -84.92. Let b = 173181 - 173181.079993. Let w = m + b. Round w to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 0*i**7 + 0 + 0*i**3 + 0*i**5 + 0*i**6 - 9*i + 0*i**2 - 5\/56*i**8 - 1\/3*i**4. What is the third derivative of d(m) wrt m?\nAnswer: -600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3*15\/6*32\/96.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 9:56 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**3 + 4*q**3 + 0*q**3)*(-7*q - 223 + 5*q + 4*q + (3*q + q - 5*q)*(-3 + 1 + 0) + 4*q - 3*q + q).\nAnswer: -6*q**4 + 223*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 5\/4*k**4 - 1\/40*k**6 + 25*k**2 + 1\/20*k**5 + 0 + 0*k + 4*k**3. Find t, given that n(t) = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179788?\nAnswer: 2, 7, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*o + 24. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/3)*s*s)**(13\/6)*((s\/(s\/(s\/(s*s**(1\/7))))*s)\/s)\/s**(1\/5))\/((s**(5\/4)*s)\/s**(4\/7))**(-6\/23) assuming s is positive.\nAnswer: s**(106027\/14490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 9*g + 5. Let i be p(-10). Sort 1, 5, i in ascending order.\nAnswer: i, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7) + (-7 - -27) + -30\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*m**2*s**3 + m**2*s**2*t - 11*m**2*s*t - 5*m*s**2*t - 13*s*t wrt s?\nAnswer: -72*m**2*s + 2*m**2*t - 10*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4294 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9401 divided by 119?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y = 80 - 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h - 3*h + 6*h)*(-1175*h**3 - 1094*h**3 + 635*h**3) as l*h**2 + j*h**4 + k*h**3 + q*h + a and give j.\nAnswer: 1634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -19*k**4 + 116*k**3 - 6*k**2 - 436*k - 295 = 0.\nAnswer: -1, 59\/19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1442, -1448, -1466, -1502, -1562, -1652, -1778?\n\"Answer: -d**3 + d - 1442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -5995.\nAnswer: 17985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(17))**2 - sqrt(17))*1.\nAnswer: -sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/5733 and 62\/117.\nAnswer: 5733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6112, -12167, -18222?\nAnswer: -24277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, u: 4}. Give prob of picking 2 w and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13279882 by 1778.\nAnswer: 7469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 82, 182, 320, 496, 710, 962?\nAnswer: 1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/3 + 3*h**2 + h + 2. Let p be o(-6). Let i be (0\/((-2)\/p))\/2. Solve -j + 5*n + i*n + 5 = 0, 4*n - 2 = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 1 f when three letters picked without replacement from {f: 1, g: 7, o: 8, r: 4}?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/2*(-15)\/(-12). Let v be -20 + (-156)\/(-8) - ((-34)\/36 - -1). Which is bigger: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 72.03848. Let k = 0.051 + d. Round k to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/(-2*(-21)\/24). Which is bigger: x or 15\/58?\nAnswer: 15\/58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 117262780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.72 + 5.33. Let y = t + -0.05. Let x = -1763.5 + 1763. Which is the second smallest value? (a) y (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/3 - 22*u**4 + 1151*u**3\/3 - 1722*u**2 = 0. Calculate u.\nAnswer: 0, 7, 18, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 363 + 135. Let t = -242 + o. Suppose 2*m - 4*k - t = -2*m, 52 = m - 5*k. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/10 + 1505*k**4\/6 + 1193*k**3\/2 - k**2\/2 + 2*k + 269. Find the second derivative of f(t) wrt t.\nAnswer: -12*t + 6020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + (-88 - -12) + 63 - 127.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 + -2 + 5) - (-13 + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254470466?\nAnswer: 2, 127235233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4889.6919ns?\nAnswer: 0.00000000005659365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 469, 1051, 1853, 2869, 4093?\nAnswer: 5519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r. Let u(y) be the third derivative of 7 + 1\/24*y**4 - y**2 + 0*y + 0*y**3. Calculate k(u(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15089 and 2.\nAnswer: 30178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Suppose -f*q - 1 + 7 = 0. Solve 2 = -o - q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + 12. Let y = -503 - -513. What is the remainder when p is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 9:32 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3176819 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1943168 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2 - 50468124*z - 636757885019844 = 0. Calculate z.\nAnswer: -25234062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 1985796*w**2 + 13900670*w.\nAnswer: -2*w*(w - 7)*(w + 992905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 i when three letters picked without replacement from igiiggg?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 190*h\/3 + 275\/3.\nAnswer: 5*(h + 11)*(3*h + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 3*z + 11 - 35, 3*h + 29 = -5*z for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**5\/20 - 7*w**4\/12 - w**3 + 3*w**2 - 2*w. Is f(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -88687.\nAnswer: -5\/88687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + 35*h. Let r be a(-11). Sort -0.3, r, -0.5, 0.\nAnswer: r, -0.5, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6004 and 790.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15205742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 8\/(-24)*(-2 - -2). Let m = 13 + -9. Suppose -4*x + m*r + 84 = 0, 4*x = p*r - r + 81. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 81*a**2. Let j(y) = -409*y - 2. Give m(j(w)).\nAnswer: 13549761*w**2 + 132516*w + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t - 20. What is m(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4501 or -4483?\nAnswer: -4483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17078 is divided by 73?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -311634*x. Let q(d) = -17*d. Determine s(q(l)).\nAnswer: 5297778*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*i = -76*i - 11075 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i. Let h(v) = 40*v**2 - 159*v. Give f(h(r)).\nAnswer: -360*r**2 + 1431*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51783698, 103567404, 155351110, 207134816, 258918522?\n\"Answer: 51783706*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 4*k - 3*k)*(-33*k + k + 5*k).\nAnswer: -135*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53806 - 0.3.\nAnswer: 53805.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/(-68)*2\/(-20).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*u = 1025*u - 12 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - 24?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12684 and 1428?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 193 + 292 - 8*r**3.\nAnswer: -8*r**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 - 8) + 4*1. Does 18 divide r\/(-3*2\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, f: 8}. Give prob of picking 1 c and 3 f.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 3:59 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c + 16. What is the second derivative of -c*s**2 + 4*s**2 - 13*s + 16*s wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66557 - 0.\nAnswer: -66557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7173.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 = 9*b + 51 - 87 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 209550175 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -297\/416?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + 12*y + 27*y - 98*y + 24*y + 14*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, w: 3, q: 2, f: 1, o: 9}. Give prob of picking 2 l and 1 w.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3516 (base 9) to base 4\nAnswer: -220233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 2*o - 70. Suppose v = -b + o, v - 3*b = -0*b + 39. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -365 - -374. Solve q*b = 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 471359*r. Let h(v) = 2*v**2. Determine h(y(b)).\nAnswer: 444358613762*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 2:45 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.044, -3, -5, -0.05, -0.4, -15?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-9)\/(-3 - 0). Suppose 3*f - 3*s + q*s = 51, 36 = 4*f - 4*s. Suppose 0 = 3*z - f + 4. Solve 0 = 3*w - 0*w - z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.211 - -4.789. What is the nearest to 0.1 in 2\/9, q, 4\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11370 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 9541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -4*y - 44. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35*(-3 - 0)\/(-54) and 83\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18062 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110111100101000001 (base 2) to base 16.\nAnswer: -1f7941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and 3083209691.\nAnswer: 3083209678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -10. Differentiate -j*t + 4*t - 1 - 3 + 2 with respect to t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8799928.\nAnswer: 2, 101, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465080 is divided by 93015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1784 - 5*r**2 + 4*r + 1781 - 4*r.\nAnswer: -5*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7493 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10111 (base 2) to base 11\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 0. Let a(b) = b**3 + 7*b**2 + 3*b - 4. Let z be a(n). Let g be z + 3*(-1 - 0). What is the highest common divisor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 0, -a - 1 = -2*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55239 is divided by 1062?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00877858 - -0.3.\nAnswer: 0.29122142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -338.1 + 338.6. Which is the fifth smallest value? (a) -5\/2 (b) -1\/5 (c) 3 (d) o (e) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1993924, -3987716, -5981508, -7975300, -9969092, -11962884?\nAnswer: -13956676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c**(-1)*c))\/c)**(-1\/25) assuming c is positive.\nAnswer: c**(-1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113021?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62234 and -0.4.\nAnswer: -24893.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -35*r**2 - 55*r + 90 = 0.\nAnswer: -18\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -352, -1\/19, 1 in descending order.\nAnswer: 1, -1\/19, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2 - -3.2624. Let m = s - 0.2111. Let f = m + 0.143. Round f to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b - 426 = -2*q, -q - 3 = 0. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyfyyqqyhqhhy. What is prob of picking 2 h?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and -1581801607.\nAnswer: -1581801607.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 269 = a. Suppose -h = -6*h + 4*t - 807, 0 = t - 3. Let g = h + a. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mddddjmdjjmmdd. Give prob of picking 2 j and 2 d.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -132\/65393?\nAnswer: -132\/65393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30793 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 13*a**2 + 373*a + 740. Determine q(-2).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22\/17 (b) 0.37 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6746 - -6748. Which is smaller: j or 172\/71?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 - -178. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32850 divided by 6570\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0, 5075, -1\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -66. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151009.227 rounded to the nearest 100?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4 - 8)*(10*z**3 + 15*z**3 - 2*z**3).\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (1326 - 1343)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 2251.\nAnswer: -2251.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48616023?\nAnswer: 3, 16205341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12290 + 2686 = -12*y. What are the prime factors of ((-14)\/84)\/((-3)\/y)*-6?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 k when three letters picked without replacement from {i: 5, n: 2, k: 1, l: 2, b: 6, u: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(16\/(-2))*-2 + 6. Put -310, u, 1 in descending order.\nAnswer: u, 1, -310","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u - 6*u - u**2 - 8 + 8 - u**2 + (2*u - 3*u + 3*u)*(2 + 2*u - 2) + u**2 + 2*u**2 - u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -549 - 21*y + 19*y - 613.\nAnswer: -2*y - 1162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 268700?\nAnswer: 806100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-63))\/(33\/99)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 89151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -3304d7?\nAnswer: -3304d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 9:50 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -271.7 - 9.3. Let g = 5047.3 + -4755. Let m = g + b. What is m rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 121*k - 229. Let t be q(2). Solve -73 = -t*r - 21 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 + 80. Let g = -3830.29 - -3783. Let c = u - g. Round c to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 5 - 4 + 9. Let t(c) = 20*c. Suppose -m + 3*m = -n + 9, n - 4*m - 27 = 0. Let o(z) = z. Let d(i) = n*o(i) - t(i). Calculate d(r(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 658937 or 658935?\nAnswer: 658935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)\/d)**(-2\/195)*(d**(-1))**28)\/((d**(-2\/5)*d**(-2\/15))\/(d**(-1))**28) assuming d is positive.\nAnswer: d**(-54074\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -m**8\/1680 + m**6\/72 + m**3\/6 - 3*m**2. Let d(u) be the first derivative of q(u). Find the third derivative of d(h) wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 4*l**2 + l + 2. Let y(i) = -i + 5. Let h be y(2). Suppose 0 = -2*m - 5*k - 4 + 3, 0 = -h*m - 4*k - 5. Is z(m) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 187*t**3 - 29*t**3 - 8*t**3)*(5*t - 6*t + 5*t).\nAnswer: 600*t**4 + 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.429km in meters?\nAnswer: 98429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2522 and 354445?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen quarters of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1803\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 1:06 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27 - 93\/4*w + 9\/2*w**2 + 3\/4*w**3.\nAnswer: 3*(w - 4)*(w + 1)*(w + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 7:54 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -958537, -958519, -958487, -958435, -958357, -958247?\n\"Answer: v**3 + v**2 + 8*v - 958547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -35 - (-1 - (-15 + 0 + 7 + -5)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g**2 + 4*g. Let z(b) = -31*b**2 - 14*b. Let i(y) = 7*m(y) + 2*z(y). Let c(r) = -2481*r. What is i(c(w))?\nAnswer: 6155361*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c1 (base 15) to base 3.\nAnswer: -2102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x + 2. Let d(v) = 2 + 4 - 3 + 6*v. Let n(y) = 4*d(y) - 5*k(y). What is the units digit of n(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71516, -288524, -650204, -1156556, -1807580?\nAnswer: -2603276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, n: 1, u: 4}. Give prob of sequence nug.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1149346 divided by -1174?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1870089.\nAnswer: 3, 13, 47951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1140400 (base 6) to base 3\nAnswer: -10000222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 555600?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 30 - 1479*f.\nAnswer: -1479*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -312 + 2*a - 235 + 218 - 344 to the form d + x*a and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 290 + -2032\/7. What is the fourth biggest value in -0.2, -5, d, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4 - s**4 - 2956*s + 66 + 2956*s. Let q(n) = 12*n**3. Suppose -2*o + 12 = 2*t, 4*t + 1 + 7 = 0. Give o*p(c) + 5*q(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 7.9267 (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**3 - 143*g**3 + 137*g**3 - 7*g.\nAnswer: -3*g**3 - 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 + -1.5. Which is bigger: -5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*b**4\/9 - 1200598*b**3\/9 - 7579702*b**2\/9 - 4352870*b\/3 - 375250 = 0. Calculate b.\nAnswer: -3, -5\/16, 37525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 2*d**2 - 3*d - 1. Let y be w(-2). Suppose -33 = -4*t + y*h, -5*t + h + 3*h + 30 = 0. Suppose -3*f = -t*f + 1. Is f less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + -1*sqrt(304) + sqrt(304) + sqrt(304))**2.\nAnswer: 40*sqrt(19) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -4, 1777473?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1885, 3727, 5497, 7159, 8677, 10015?\n\"Answer: -6*z**3 + 1884*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 10*n**2 + 2*n - 9. Let a be f(10). Let d = a + -8. Let t be (-8)\/d - (-2)\/(-6). Put t, -1, 5 in descending order.\nAnswer: 5, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 8 (c) 2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 447881345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3069039067 to the nearest integer?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.417 and 0.3?\nAnswer: 0.1251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*v - 38*v**3 + 130*v**3 - 109*v**3)*(-2*v + 0*v + 3*v).\nAnswer: -17*v**4 - 25*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 18 = -53. Suppose -8 = -4*m, -5*f - 201 = 4*m - q*m. Let g = 56 + f. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381764269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 241, 375, 515, 661, 813?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010010001011 (base 2) to base 7.\nAnswer: -215603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1281*h*j**3*u*y - 13*h*u*y - 42*h - 481*j**3*y + 2*j*y wrt u.\nAnswer: 1281*h*j**3*y - 13*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4416 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 226939.6 years?\nAnswer: 226.9396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -89974399 to the nearest one hundred thousand.\nAnswer: -90000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*d = 62*d. Let l(u) = -u**3 + 6*u**2 + 6*u - 7. Let b be l(7). Let j be 0*1\/(-3) - b. Solve 4*s - j = 2*x + 2*s, 5*x + 2*s + 14 = d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiiiiiiiiia. What is prob of sequence ia?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 16*y**2 - 15*y + 3. Let v be m(-15). Suppose -2*x + 0*x + v*j = -81, 0 = 4*x + 5*j - 173. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 24\/486623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**4*u\/u**(-1\/17) assuming u is positive.\nAnswer: u**(103\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 + 6*m**3 - 590 + 0*m**3 + 590.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53620176 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-5*5 - -3*(sqrt(88) - -4*sqrt(88)))\/(((1*sqrt(80) + sqrt(80))*4 + sqrt(80))\/(2*sqrt(1210) - sqrt(1210))).\nAnswer: -110*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 358062562.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 5208980.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + o + 3 + 0)*(-3 + 3 - o) + 0*o - 24*o**2 + 26*o**2 - 2*o.\nAnswer: o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -271*k**5\/20 - k**3\/2 - 340*k**2 + 15*k + 7. What is the first derivative of m(h) wrt h?\nAnswer: -813*h**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 3:26 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*c - 84 = 2*d, -98*c = -94*c - 16 for d.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -2*i**3\/3 + i**2\/2 - 2*i. Suppose -2*x - 34 = 3*k + 3*x, 2*x = -3*k - 19. Let s(m) = -7*m + 1. Determine k*s(y) + 5*c(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 140061*w. Let n(o) = -3*o**2. Give s(n(q)).\nAnswer: -420183*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**6\/120 - y**5\/10 - 7*y**4\/24 + 4*y**3\/3 + 12*y**2. Determine s(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/24*4*(-1)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.110799201 to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 63. Suppose 5*o = -4*u + 5, 2*u - 1 = 3*u - o. Let h be y(u). Let l = 101 - 59. Calculate the highest common factor of l and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5604 + 5604 - 24*n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let u(n) = -4*n + 2. Let v(c) = -13*c + 7. Let t be 0\/(1 - 2) - 2. Let y(k) = t*v(k) + 7*u(k). What is g(y(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-4)*(-12)\/(-1512)*-9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -511 - -491. Let f(i) = i**3 + 22*i**2 + 26*i + 7. Is f(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 + -53.0146.\nAnswer: 204.9854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684 is divided by 1675.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**5\/5 - 447*w**4\/5 - 11322*w**3\/5 + 80892*w**2\/5 + 160056*w = 0.\nAnswer: -114, -39, -6, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37329 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6662, -13339, -20016, -26693, -33370, -40047?\n\"Answer: -6677*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 7.2. What is the second biggest value in 3\/5, -0.1, 5, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 305 + -303. Suppose 57 + 8 = 5*o. Solve -b + 7 = 4*j, b + o = 2*j + r for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.3 - -0.3. Let z = 4 + c. Let w = -1010384 + 1010379. What is the nearest to z in -0.5, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 + 938*c + 59100 = 0. Calculate c.\nAnswer: -394, -75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143446 a multiple of 736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + h + 4. Let b(z) = -4*z**2 - z + 1. Let o be b(1). Let r = o - -4. Calculate the remainder when 10 is divided by u(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391919999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -k + 5*r, 2*r - 8 = -4*k - 2. Suppose -961995 = 2*x + 5*y, k*y + 2 = 6*y. What is x rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46467 is divided by 877?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-318)\/(-14) - 2\/(-7). Suppose 0 = 49*z - 3089 - 1419. What is the highest common divisor of z and u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.4. Let w = -348 - -348.4. What is the closest to -0.1 in -2, w, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464599 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 18*v**2 - 16*v + 18. Let f be (16\/(-4) - 9)\/(-1). Is o(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 87*k**2 - 23*k + 16*k - 84*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10593?\nAnswer: 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14 + -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120222 (base 3) in base 13?\nAnswer: 6b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 9*z**3 - 1584*z**2 + 7*z - 1261. Determine w(176).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9 + 4*j + 2*j - j + 4*j wrt j?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 21*x + 23*x = 0, -2*x = 4*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 16*n + 22. What is the remainder when 7 is divided by o(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 4*l - l)*(-5*l**3 - 16*l**3 + 0*l**3) as b*l + t + g*l**3 + c*l**4 + p*l**2 and give c.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 73*z**4 + 73*z. Let t(f) = 74*f**4 + 75*f. Let a(b) = -7*k(b) + 6*t(b). What is the second derivative of a(g) wrt g?\nAnswer: -804*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(1\/9)))\/p**(4\/19)*p*p**17*p**(9\/8) assuming p is positive.\nAnswer: p**(26027\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l + 4*l - 2*l + (2 - 5 + 1)*(8*l + 29 - 29) + 3*l - l - 33*l + (-3*l + 2 - 2)*(-5 + 0 + 3) as i + a*l and give a.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 + 112. Suppose 0*w = -5*w + h. Suppose 0 = 3*l + 9, 0 = 3*q + 434*l - 439*l - 195. Calculate the remainder when q is divided by w.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {l: 2, i: 2, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 - 15*d + 11. Let x be g(-9). Let s = -51 - x. What are the prime factors of s?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5670 = 6*z - 9024. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 33 + -4 - (5 + -11 - -83).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 22*w**2 + 106*w + 155. Give k(26).\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.404 - 1.579.\nAnswer: -2.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 14*u - 12. Let c be a(-15). Let g = 12 - 7. What is the closest to 0 in -4, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808920 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**4 + f**2 - 2*f**4 + 2 + 0*f**3 + f**4 + f**3 as i*f**4 + w*f + d*f**2 + p + j*f**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 55 = 4*t, 0 = -5*h + 4*t - 8*t + 55. Suppose 0 = 5*x + 4*z - 100, -9*x + 5*x + 2*z = -54. Solve x*b = h*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-65)\/2)\/(-1*2\/4). Let w = 2 + 9. Let k = w + 2. Calculate the greatest common factor of k and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**6\/((g\/(g**(-3)*g*g))\/g))**49)**50)**(15\/2) assuming g is positive.\nAnswer: g**91875","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 - (0\/5 + 4). Let r = -4 - n. Differentiate -10 + 19 - r - 9*d**2 wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20470 (base 16) to base 11\nAnswer: -9036a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*j = -65*j - 221*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1492.2 - -1492.199879936. Round p to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 186, -0.3, -0.2, 0.02?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6051696?\nAnswer: 2, 3, 7, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 5. Let k = z + 8. Let h(a) = -2*a - 5. Let r(o) = o**3 - 65*o**2 - 2247*o + 71. Let d be r(-25). Let j(b) = -2*b - 6. What is d*j(s) + k*h(s)?\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -175 - -175. Let h be g\/1 + 1 + 25. Let q(m) = -m**3 - 6*m**2 - 5*m - 6. Let i be q(-7). What is the highest common divisor of i and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1677 or 277?\nAnswer: -1677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 164441633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4228720210 rounded to the nearest one million?\nAnswer: -4229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2473352 to the power of 1\/2, to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 5*s - 48737 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 3*p - 87, -5*p + 154 = r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 30*d**2 - 60*d + 1172. Determine b(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-8))**(-19)\/(d*d**(-1\/6)\/d)**(-29) assuming d is positive.\nAnswer: d**(-1055\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209700480?\nAnswer: 2, 3, 5, 11, 9929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 978 + -971.99. Round l to 1 decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x = 9*x + 140014. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -13\/4*r**4 + r**2 - 86*r + 0 + 37\/3*r**3. Find the first derivative of f(k) wrt k.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 9835 (c) -0.5 (d) -1\/4 (e) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 5824?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 9. Is 10\/j*(1 + 21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/35)\/(50\/725)*-8*4\/4?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 15 + 25. Suppose -4*k - 51 = a, -6*k = -2*k + 2*a + 46. Calculate the smallest common multiple of ((-18)\/21)\/(4\/k) and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -4\/375 (c) -1\/2478 (d) -74\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.711564 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 2. Let t = d - -3.1. Let p = -0.0169 + 4.0169. What is the closest to t in p, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2247.9921 to the nearest integer.\nAnswer: -2248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -s + 8, 23*s - 24*s - o - 1 = 0. Let q = -6 + 9. Suppose -q*f + 16 = f. Solve 0*p = s*p + f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifcfsfijmfci. Give prob of picking 2 i and 1 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**3 - 27678*q**2 - 64032612*q - 891039912 = 0.\nAnswer: -4606, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 95055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/(-45))\/((-114)\/(-513)))\/((-2)\/(-50)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31761 + -1761. Round w to the nearest one thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*q + 131*q - 33*q - 31*q - 25*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -77. Suppose -5*n - 3*q = 18, 3*q - 4*q + c = -5*n. Let t be (4\/n)\/((-4)\/18). Solve t = -0*d - d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 170 = 4*y, -o - 2*y + 2 + 56 = 0. Calculate the highest common factor of 27 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 + 185. List the prime factors of o.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 - -12 - (-29 + 49)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1091, 1094, 1097, 1100?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 2*b - 16*b**3 + 3*b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/12 and 38\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2395526639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63 + (-129312)\/2052)*(-1 + -5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/130)\/(243\/1404).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - 5*q. Let b(f) = -16*f - 37*f**2 + 1 + 76*f**2 - 37*f**2. Let a(u) = -3*b(u) + 8*d(u). Calculate the remainder when 25 is divided by a(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 times 0.5\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 84720 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t + 3*t + 2*q + 6296, -2*t = 4*q - 3148. What are the prime factors of t?\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + sqrt(5) + sqrt(5)) - (sqrt(5) - (sqrt(5) - (sqrt(5) + -1))*6) - (sqrt(500) + 1*-2*sqrt(500))*-1)**2.\nAnswer: -84*sqrt(5) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -245, -564, -1011, -1586, -2289, -3120?\nAnswer: -4079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 2*sqrt(396) + sqrt(396) - sqrt(396) - sqrt(396))*-3 + (0 + sqrt(396) + sqrt(396))*2 + sqrt(396) + sqrt(396))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89 - -147. Let x(k) = -133*k - g + 129*k + 58. Let s(c) = 2*c. Determine x(s(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(175) - (sqrt(175) + sqrt(175) + 0)) + sqrt(175) + sqrt(175) + sqrt(175) + 1*1*sqrt(175) + -2)**2.\nAnswer: 90*sqrt(7) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 10 - 9) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 10 = 3*p. Suppose 2*n = p*n. Sort -1, n, 4 in decreasing order.\nAnswer: 4, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -2, 1721, 18, -5, 10 in ascending order.\nAnswer: -5, -3, -2, 4, 10, 18, 1721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*o - 3*t - 8, -5*o - 3*t + 28 = 0. Let d be (6\/o)\/(5\/25). Differentiate d + 30*q - 15*q**2 - 30*q wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3625560041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1410 and 909570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/9)\/((-2)\/12). Suppose 0*w + f*w + 5*i - 10 = 0, -2*w + 10 = -i. Suppose 30 = -2*s + 4*a + 198, -a = -w. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.965 - -1.211.\nAnswer: 19.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*z**2 + 1\/4*z**4 + 1\/8*z - 1\/8*z**5 + 0 + 0*z**3 = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**3 - 33*s**2 - 78*s - 48 = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (2 - (3 - 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/51*6\/4. Let i = -0.2 + 0.16. Let d = 1 - -4. Which is the biggest value? (a) i (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 25 - -3)*-6. What is the highest common divisor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11094\/3593 or -3?\nAnswer: -11094\/3593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8676 divide 1125500468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {q: 13, s: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 263501605 and 370?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.38 + -0.92. Let b = -11.30000635 - l. Round b to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*(sqrt(20) - sqrt(140)\/sqrt(7)))\/(1*sqrt(810) - -1*sqrt(90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7128 and 756976.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*w. Let p be (-3)\/(w - 6)*0. Suppose 0 = -p*k - k + 14. Calculate the remainder when 27 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t - 70 - 247 = -62 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - v)*(-1 + 1 + 2*v) + 456*v**2 + 391*v**2 - 1051*v**2.\nAnswer: -206*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2 + 2 + (32 - 4 - 6)*(3*v - 3*v - v).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-25 + 1)) + 2. Suppose 125 = -4*d - u, -3*d = -4*u + 84 + 5. Let n = f + d. Let r(p) = 2*p - 4. What is r(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 58?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**4\/24 - 5*g**2. Is p(4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(5\/3))*i)\/i**10)**(-7\/3) assuming i is positive.\nAnswer: i**(224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600884 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6*3)\/(1160\/(-232)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*a = 4*a + 1, 2*a - 6 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 11317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8069 and -291.\nAnswer: -2348079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -7*j - 3*z, -36 = 4*j - 122*z + 125*z for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 1. Let h(k) = 45*k**2 - 3*k - 5. Let b(r) = -5*c(r) + h(r). What are the prime factors of b(2)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-4*(-6)\/120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*f**2 + 12417515*f - 2069585.\nAnswer: -5*(f - 413917)*(6*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -5*h + 5. What is the third derivative of -4*u**2 + 16*u**5 - 13*u**h + 7*u**2 wrt u?\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2. Let z = 5804 - 5810. Let m(q) = -23*q - 22. Let f be (3\/(-6))\/((-2)\/88). Let g(p) = -6*p - 6. Let r(t) = f*g(t) + z*m(t). Determine l(r(n)).\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 410829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -457+535\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 4 (b) -4\/7 (c) 7\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*g - 31*g - 14*g + 103*g - 23*g + 32*g**3.\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.06434 and -513.\nAnswer: -512.93566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85221 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2284 and 776.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 12 + 12 - 22*y - 20*y.\nAnswer: -42*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47\/(-329))\/(1\/3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/11, 0, 1, 3\/7 in descending order.\nAnswer: 14\/11, 1, 3\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1291 - -6444. What are the prime factors of c?\nAnswer: 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**4)\/m)\/(m**0*m))**(-43) assuming m is positive.\nAnswer: m**215","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16033?\nAnswer: 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 3*h**5\/35 - 127*h**4\/42 + 4*h**3\/3 - 239*h**2 + 2*h. Let n(k) = 0. Calculate k.\nAnswer: 1\/9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -325 - -721. Does 24 divide (-4)\/(-10) + s\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9\/(-27))\/((-37486924)\/3748692 + 10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 17*a**4\/4 - 118*a. Let f(d) = 3*d**2. What is l(f(s))?\nAnswer: 459*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214*g + 3159*g - 519*g + 832*g.\nAnswer: 3686*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*j = -760, -4*f - 3*j = -7*f + 462. Find the first derivative of f + 29 - 10*x + 10*x - 18*x**3 wrt x.\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 8*a - 3. Let p be y(-7). Suppose -p*x - 5*g = x - 20, 16 = x + 4*g. Let f be 20\/(-24)*1\/(-5). Is x at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - a)*(-2 + 4 - 46 + (0 - 2 + 1)*(-3 + 4 - 2) - 1 + 2 + 1 - 1 - 5 + 1).\nAnswer: 46*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-204)\/(-3570))\/(((-3315)\/(-175) - 15) + (-1)\/7)?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**5 + 1665*l**4 + 6741*l**3 - 18465*l**2 + 10062*l = 0. What is l?\nAnswer: -6, 0, 1, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263 - -586. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**3 + 2*f**2 - 2*f - 6. Let r be k(-3). Let c = r + 127. Suppose 5*d - c = -4*j - 6, -3*j - 3*d = -21. Solve 2*h + j = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + sqrt(891) + 0 + 4 + (sqrt(891) + (sqrt(891) + 0)**2)*5)*3.\nAnswer: 189*sqrt(11) + 13377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/3 + 0. Which is the smallest value? (a) 3 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2, 2\/25, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12347 - -17132. Suppose 88*g - 47*g = w. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-1) + 18 + -1. Suppose -3*v + 2*v = 19. Let l = h + v. Solve -l*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 743739965 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + -2. Let d be 28\/8*1\/(-3). Let t = 1\/3 - d. What is the closest to -1\/2 in u, 1\/5, t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/2, -41\/2, 25, -3.2.\nAnswer: -41\/2, -3.2, 1\/2, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 4, k: 6, v: 5, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (32 + -4 - 51) + (10 - 5) - 13?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 26 = 3*n, 0 = 2*n - 19*f + 17*f - 12. Suppose n = -45*d + 47*d. Calculate the least common multiple of d and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58 - 8) + 105 + -65.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**3 - 125*o**2 - 340*o - 220 = 0. What is o?\nAnswer: -22, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 (base 13) in base 12?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 7007610 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 25*o - 30*o - 2 = 0, 0 = -3*d - o + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000301164 to seven dps.\nAnswer: 0.0003012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-2 - -3) + (5 - (-7 - -9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 50. Is 10 a factor of (((-20)\/f)\/(-2))\/(2\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 7*b**2 - 6*b + 1. Suppose -4*f + 7*d - 8 = 11*d, 2*f - 2*d - 16 = 0. Suppose -f*x = -4*n - 34, 2*x + 3*n = -0*x. What is u(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, g: 1, t: 2}. What is prob of sequence gl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b**4 + 0)*(-4*b + 0 - 3 + 3*b)*(5 + 14 - 6)*(2 - 5 + 1).\nAnswer: 26*b**5 + 78*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y, 0*f - f + 3 = -2*y. Suppose -a - 3*a + q = 26, 0 = 3*a - 5*q + 11. Let b be 2\/(-8) + a\/(-20). Is b less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*b + 1. Let v(y) = -y**2 + 4*y - 5. What is v(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + -9. Let d be (o\/2)\/((-6)\/16). What is the units digit of 4*(-2)\/((-32)\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/18*2 - (-67 + -1). Let j = q - 86. Let u = -48 - -34. Does u = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 5, -4, 50, -4\/7?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499883?\nAnswer: 3, 7, 11, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (-96)\/(16 - 4) - (-3891 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (68*d**2 + 502*d - 502*d)*(-68 + 26 + 30) to the form g*d + n*d**2 + s and give n.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286241543.\nAnswer: 7, 113, 361873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/90*(-250)\/40?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20918.6 - 2.\nAnswer: -20920.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 7*w**5\/5 - 71*w**4\/24 - w**3\/6 - 18*w**2 + w. What is the second derivative of q(g) wrt g?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074049847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aao when three letters picked without replacement from {a: 3, o: 4, x: 6}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -4)\/(1\/13). Let b = -6 + u. Suppose 19 = 4*x + b. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/359 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 37 = -5*c, 3*u - c - 8 = 41. Calculate the highest common factor of u and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90500 by -18100.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 125738 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z - 18 = 0. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 0.1. Let z = 17.1 - 0.1. Let j = -14 + z. Which is the nearest to 0? (a) h (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.257 rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -33 + 94 - 33 - 28 - 12*b. Let g(i) = -i. What is -21*g(f) + 3*t(f)?\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + 1247?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.2.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15550*p**4 + 15700*p**3 - 1628151880*p**2 wrt p.\nAnswer: -373200*p + 94200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 617076723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*h - 50. Suppose 2*g = -4*r - r + 11, -4*g - h = -3*r. What is the lowest common multiple of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 16*o + 150. Let k be s(-14). Suppose y + 43 + 31 = 0. Is y at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3257*r + 3262*r = 3*i - 4, -4*r - 2*i = -10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5))**(-3)\/((b*b*b**(-1\/4)\/b)\/(b*b*(b\/b**1)\/b)) assuming b is positive.\nAnswer: b**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**13)\/l**(-4)*l**(-1\/2)*(l**(2\/3)\/l)\/l)**(1\/16) assuming l is positive.\nAnswer: l**(97\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*t**5\/3 + 235*t**4 + 1022*t**3 + 5563*t**2\/3 + 1192*t + 144 = 0 for t.\nAnswer: -4, -3, -1, -9\/58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 + 1 = 0. Let x be (-2)\/4 + (-85)\/(-2). Let z = x + -296\/7. Is o <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 247\/(-1235)*10\/(-28)*2.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-5 + (sqrt(637) + sqrt(637)*-2 + 0 + sqrt(637))*-6)**2 + 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.5, -3, -2\/3, 56352 in decreasing order.\nAnswer: 56352, 0.5, -0.2, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*a**5 + 2360*a**4 + 9895*a**3 - 16285*a**2 - 22520*a - 6100 = 0. What is a?\nAnswer: -5, -1\/2, 2, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*m**2 - 422*m**2 + 802*m**2.\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 23*a + a**2 + 0*a**3 + 1\/96*a**4 + 0 + 1\/240*a**5. Suppose k(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-6)\/(0 - 6))\/((-1)\/(-54)) and 2.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0*o*o\/((o**0\/o)\/o)*(o\/(o*o**(-2)*o)*o)\/(o*o**5)*o**(4\/7)\/(o\/(o*o**(-1\/5)))*(o*o\/o**(-1\/5)*o)\/o*(o*o**(3\/5))\/o*o*o assuming o is positive.\nAnswer: o**(181\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 1135, -41 in increasing order.\nAnswer: -41, -6, 2, 1135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*h + 12 - 4 = 0, -4 = 4*h. Suppose -u*a = -4*a + 2. Solve -a*p = -3*o - 35 + 13, -2*o = 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + -1)\/(80\/12 - 6). Let j be 7\/h + (-7712)\/(-3264). Let n = 1 + 0. Are n and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 2. Let c be i(-7). Let x be 2 + c\/((-10)\/4). Solve 4*l - 2*l = x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 7. Let g be l(-7). Suppose 3*m - 8 - 46 = g. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -5669?\nAnswer: -2\/5669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 38724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-9)\/o)\/o)\/o**(-8\/3)*(o**(-1\/13))**(-43))**(16\/3) assuming o is positive.\nAnswer: o**(-3136\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - g - 387 = 62, -3*m + 473 = 5*g. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 21*k - 1. Let q(w) be the first derivative of -7*w**3\/3 + 110. What is b(q(t))?\nAnswer: -147*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 820, 6, -2 in ascending order.\nAnswer: -2, 6, 820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1664*g**3 - 855*g + 14914906?\nAnswer: -4992*g**2 - 855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + p - 15*p - 6*p**2 + 6*p. Let h(q) be the first derivative of -q**3\/3 - q**2\/2 + 122. Give -5*h(k) + x(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-36)\/40))\/((-25088)\/(-10752))\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -147, -328, -571, -870?\nAnswer: -1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126123 - 742382 - 1482024 = -11*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 2*x**2 - x + 2. Let l be h(-3). Let c = l + 4. Suppose -j - 6 = -3*a, j = -2*a - c*a + 4. What is the remainder when a is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -731*g + 3*p = -730*g + 7, 2*g = p + 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32370443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 2*v**2 + 2*v + v + 9003727 - 9003724.\nAnswer: -2*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37 + -36.9. Sort -5, 0.2, o in ascending order.\nAnswer: -5, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 1\/18219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -196 divided by -49\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -5, -2\/17, -4, 173?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 7*t**2 + 2*t - 6. Let d be m(-8). Suppose -d = s - 4*s. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*d - 3*w - 21, 4*w = 2*d - 12. Let g be (4\/6)\/(d\/(-6)). Let s = -916 - -915. Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - 93*q**2 - 43*q + 121. Calculate b(-46).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8250*l + 3216*l + 11591*l in the form b*l + d and give b.\nAnswer: 6557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512 + 1345 = a. Let u = 1328 - a. Suppose 2*y = 0, -u = -5*p - 4*y + 7*y. Calculate the greatest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*g - 34 - 686 = 554. Solve g*v = v + v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1169460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.2, 0, -1, -93?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29838*f*h**2 + 3*f*h + 2*f + 138*h + 2 wrt h?\nAnswer: -59676*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*2 + sqrt(1377) - sqrt(1377)) + 3.\nAnswer: 3 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 44 = -2*g, -2*g = -7*l + 4*l - 9. Calculate the greatest common factor of 120 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132b (base 15) to base 8\nAnswer: -7773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*h = 43, h - 89 - 8 = 4*i. Let j be -5*(114\/520 + 6\/i). Let x = 117 + -589\/5. What is the closest to j in 2, x, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 3*p + p + (-p - p - p)*(8 + 2 + 8).\nAnswer: -53*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 1)\/(-2) - 36. Suppose -w + 10 = -66. Let o = w + a. What is the highest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*b + 11 = 2*o, -2*o + 5*b = 0. Let n(c) = -2*c + 20. Let m be n(o). Find the second derivative of -m*t + t**4 + 9*t**4 - 6*t wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 5 + 19 = 0. Suppose -q = -v + 42, -v = w*v - 2*q - 158. What is the remainder when v is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -422 + 423. Which is the nearest to -9? (a) 0.1 (b) l (c) -4 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 27. Let l(g) = -2*g + 40. Let t(z) = 5*l(z) - 7*w(z). Let o be t(3). Solve 3*c - 18 = -3*x, -3*x + 14 - o = c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10955 and 18154.\nAnswer: 635390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -135? (a) -3\/2 (b) 0.09 (c) 1\/5 (d) -0.6 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 416\/5051?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 21\/22154?\nAnswer: 21\/22154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (3 - 11) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -92.271 less than -1404699.91?\nAnswer: -1404607.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7188700, -14377418, -21566142, -28754878, -35943632, -43132410, -50321218, -57510062?\nAnswer: -64698948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -435.3 - 21.7. Let a = p + 456.99. What is the third biggest value in 0.01, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6*y = 9, p + 18 = -5*y. Let j = -28 - p. Let f(z) = -6*z**3 + 2 - 4 - 5*z**2 + 5*z - 3 + 9*z**3. Let m(k) = k**2 - k + 1. Give j*m(w) + f(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - -7b23?\nAnswer: 7b2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/14 - 171\/(-63). Solve x*v = -4*p, -2*v - 3*v = 4*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 18 = 3*w. Let m be 130\/w*118\/(-16). Let u = m - -184. Calculate the common denominator of 113\/12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8888, -8887, -8886, -8885?\n\"Answer: i - 8889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 201631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 971888383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2 - 52 - s**2 + 28*s + 0*s. Let d be o(26). Suppose k = -d*k + 69. What is the greatest common divisor of 184 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s + 378142 = 373777 for s.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10388, -20796, -31208, -41624, -52044, -62468, -72896?\nAnswer: -83328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5 + 368\/(-72))\/1. Sort d, 0.3, 0.01, -0.5.\nAnswer: -0.5, d, 0.01, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -45 + 39. Let r = d + 15. Let c = 637 + -602. Calculate the remainder when c is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3115952297.\nAnswer: 139, 22416923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.112928km in millimeters?\nAnswer: 7112928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.99 and 18.3321.\nAnswer: 109.809279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1035*v**3 - 1115*v**3 + 2156*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (16 - 11 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/31))\/(o**(-3)\/o))**(-3\/44) assuming o is positive.\nAnswer: o**(-471\/1364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4484, 18005, 40566, 72185, 112880, 162669?\n\"Answer: 3*t**3 + 4502*t**2 - 6*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/((36860\/2231)\/19).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v - 11*v**2 + 5*v - v**3 - v + 18. Let k be a(-12). Let c be k\/(-4)*(-4)\/(-21). Is -2\/27 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-4)\/((-4)\/9). Let r = 0 - j. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 + -3.2. What is the biggest value in 1\/2, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 10*b**2 - 9*b - 22. Let t be y(13). Let k = t - 171. What are the prime factors of k?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 0.0489696.\nAnswer: -0.4489696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 2)*198\/8. Let m be (-29)\/i + (-6)\/(-33). Which is the nearest to 0? (a) -1 (b) 2\/13 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 342, 0, -8.\nAnswer: -8, 0, 9, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -426849873*m**2 - 568848495.\nAnswer: -853699746*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2 + 3*v + 6*v**2 + v**2 - 2*v**2 - v**3 - 6*v**4 - 6*v**2 as y*v**2 + z*v**4 + n*v + m*v**3 + q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:09 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + 0)*(-42 + -1) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -29, -73, -141, -239?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -b**5\/20 + b**4\/3 - b**3\/3 - b**2\/2 + 11*b. Let w be r(3). Solve -4*i + d = 17, -w*d - 2 = 3*i - 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*p - 9. Suppose p*v + 3*j = -6, -6*j = 3*v - j + 16. Solve -33*x**2 - 3*x - 105*x**v + 18*x - 12 + 45*x = 0.\nAnswer: -1, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -554069*-0.03.\nAnswer: 16622.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 + 156 = 5*w. Suppose 0 = -8*n + w + 52. Let b = -10 + n. What is the remainder when 22 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199942571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6278, -6273, -6268, -6263, -6258, -6253?\nAnswer: -6248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmbbmbbm. What is prob of picking 1 m and 3 b?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**8\/20160 + 11*l**5\/60 - 34*l**2. Let q(y) be the third derivative of u(y). Let f(t) = 40*t. Determine q(f(x)).\nAnswer: 1600*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 + 3*j**4 + 15*j**4 + 2*j**3)*(4 + 2*j - 4) - 2*j**5 + 3*j**5 + 0*j**5.\nAnswer: 31*j**5 + 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = -14 + 71. Which is the nearest to -2\/3? (a) -1\/4 (b) -130 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36366 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldlx when four letters picked without replacement from hhhhhhxdelxhlx.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 630652, 630083, 629500, 628897, 628268?\nAnswer: 627607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 156171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 181 - 313. Let p = o + 131. Sort 37, -1\/5, p, 4 in descending order.\nAnswer: 37, 4, -1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/4 + 472233*x**2\/2 + 6611409*x\/4.\nAnswer: -3*x*(x - 314829)*(x + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -196 - -326. Let o = 414 + -224. Let q = o - k. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 570, 567, 560, 549, 534?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -3*v + 72. Let x be (-152)\/5 - 4\/(-10). Let n = -20 - x. Calculate the greatest common divisor of n and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + sqrt(2736)*-4)*-1 - (1*(sqrt(190) + -4*sqrt(190)) + sqrt(190))\/sqrt(10))*-3.\nAnswer: -114*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 + 51. Let s = r + -14. Let x = 53 - 51. Which is the nearest to x? (a) 0.5 (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925596.\nAnswer: 2, 3, 7, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 19*a**2 - 119*a - 26. Give t(24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(-2*n - n + 4*n)*(1 - 2 + 0).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(-2)\/21*2\/6. Let i = -1\/129 + 140\/1419. Which is the third smallest value? (a) i (b) 2 (c) l (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10920840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70.7 + -64. Let x = -7 + i. Let z = -803 - -803. Which is the second smallest value? (a) x (b) z (c) -2\/7 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/3 + 190\/6 is divided by 8 + (20 - 10) + -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*m**2 + 16*m**2 + 14*m**5 + 11*m**2 wrt m.\nAnswer: 840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 597620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1944\/(-2430)*2\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1025 by -5.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 minus 2005119069?\nAnswer: -2005119069.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**5\/9 + 8332*s**4\/9 - 3692*s**3 - 8332*s**2 + 33264*s = 0?\nAnswer: -3, 0, 3, 4, 2079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*18\/(-1) + 3. Let a = c + -13. Suppose -6 = 4*r - a. Solve -j + 3*z = 5*z - r, 3*j = 3*z - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (22\/(-10))\/(354*(-6)\/(-90)) and -30.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 48*g - 20. What is the units digit of c(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-62)\/8 - (-3)\/(-12). Let h = -21 - -31. Let a = h + l. Solve 3 = t + a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/9 (b) -8 (c) -4\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000518252801 to 5 dps.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 7521?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 5*r**2 - 9*r - 14. Let c be g(7). Calculate the highest common factor of 14 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w + 100 = 40. Suppose 2*d + 27 = 3*y, 3*y - w*d = y + 29. Solve -y*n = -2*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16093 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.25 - 0.3. Let x = 15246 - 15245.5. What is the third smallest value in 3\/8, b, -1\/5, x?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -8 (b) -3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.7 + 346451?\nAnswer: 346474.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Suppose 1 = -p*d + d. Is 47 - (-1 + -1)\/d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/9)*q)**(1\/18)\/(q**(-8)*q*q\/(q\/(q*(q\/q**(-3))\/q))) assuming q is positive.\nAnswer: q**(497\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23481439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47875 is divided by 2992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5148.7051 + -5148. Let q = l + -0.7. Round q to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14635 + -2819. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.038485 months in decades?\nAnswer: 0.241987375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8.8 times 3952089\nAnswer: 34778383.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.49, -10, 2\/19, -12.\nAnswer: -12, -10, -0.49, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/4 + p**3 + 2*p**2 + 3*p - 1. Suppose 5*j + 20 = -5, 3*n - j - 326 = 0. Let a = n + -110. What is c(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 2938.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (48 + 3)*7 + 0. Let w = h + -3901\/11. Find the common denominator of 3\/8 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -5*g**4\/12 + g**2. What is the units digit of s(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*y + 203642 - 202214 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.4 times -43?\nAnswer: 490.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*2)\/(1*sqrt(32)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/16*(2\/(-2))\/12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -6 + 23*u**2 - 2*u**4 + 96*u - 33 + 103 - 11*u**2 - 6*u**3 + 16*u**2 = 0. Calculate u.\nAnswer: -4, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h - 4*h - 2*h + h**2. Let t(u) = u. Let p(r) = 6*t(r) - v(r). Let y(q) = 4*q + 2*q - q. Calculate p(y(l)).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-4)*15\/75\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7967\/564 - -169\/12. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8854164941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5286, -5658, -6030?\n\"Answer: -372*g - 4914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 1, z: 3}. Give prob of picking 1 j and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1188 - 1191 = 0. Let s(g) = -2*g + 1. Let x be s(8). Put y, x, -2 in descending order.\nAnswer: -2, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -15. Let g = x + 7. Let y = 278\/7 + -40. Which is the biggest value? (a) 3 (b) y (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1629\/(-60))\/(2 - 5\/(-2)) and 65\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*d + 15, 4*d = -d + 25. Solve 2*w + j*w = 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/9)\/(7\/42).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 86144940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwwwwwjwwwjjwwww. What is prob of sequence wwww?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48717*l + 48712*l = 0. Let b(a) be the third derivative of -10*a**2 + 0*a - 1\/12*a**4 + l - 1\/6*a**3. Give b(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (1 + -4 + (-5 - -10) + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(4*3*sqrt(153)*1 + 2).\nAnswer: -216*sqrt(17) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 6452, 93 in ascending order.\nAnswer: -21, 93, 6452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2038505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9771275617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 9 + -16 - 14\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - -1 - (14 + -11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1406152324 + -5?\nAnswer: -1406152332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1914 = -2*o, -5*o - 1782 = -4*m + 5913. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2517 + 2522. Which is the second smallest value? (a) -2\/9 (b) 16 (c) -4 (d) 3 (e) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93844.9938 - 93778. Let r = a + -67. What is r rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 7:35 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111296 is divided by 67?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(34\/5)*h)\/h)\/h**(-17)*(h**10*h)\/((h*h**(1\/5)*h)\/h) assuming h is positive.\nAnswer: h**(173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 3. Suppose -52*t = 430 + 506. Let f(n) = -3*n**2 - 13. Calculate t*p(u) - 4*f(u).\nAnswer: -6*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*s - 2*s + 2*q, -2*s - 5*q = 10. Let j be 8 + -9 - (s - 0). Let m = j - -24. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -169396402 - 6704528. Let f = -71020186 - b. Round f to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 1 = -5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 and -22\/291?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*o**2 - 342*f**3*o + 8332*f**3 - 2*f**2 + 284*f*o**2 - 13587*f wrt f?\nAnswer: 12*o**2 - 2052*o + 49992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183428 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w - 62*w = -b + 50, 4*b + 70 = 3*w. Calculate the highest common factor of w and 49554.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133412 is divided by 376.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11578 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64777 - 62010. Let j = 126846.9973 + x. Let v = 60 - j. Round v to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165389503607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 - 51*i + 185. Determine h(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -366808*i - 11737857. Calculate q(-32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 262?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 22*b - 44. What is the remainder when 15 is divided by v(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-8) - 6*228\/32. Let h be (60\/(-6))\/(g\/6). Determine o, given that -2\/7*o**5 - 4\/7*o**2 - 4\/7 + 8\/7*o**4 + h*o - 8\/7*o**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -90 or 29106?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -18483346 and -18483347 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, b: 2}. What is prob of sequence cc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p + 33. Let j be o(7). Let h(f) be the first derivative of 0*f**2 - 4*f + 0*f**4 + j + 0*f**3 - 4\/5*f**5. What is the derivative of h(v) wrt v?\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 232*t + 250*t - 451*t + 2.\nAnswer: 31*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 9*i**3 + 9*i**2 - 11*i - 4. Let r(s) = 4*s**3 + 4*s**2 - 6*s - 2. What is 3*h(n) - 7*r(n)?\nAnswer: -n**3 - n**2 + 9*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**5 + 1 - 4*f + 4*f + (0*f + f**3 + 0*f)*(-f**2 + f**2 + 3*f**2) - 2*f**5 + f**4 - f**4 - 9*f**5 + 4*f**5 + 0*f**5 + 0*f**3 - f**5 + 0*f**3.\nAnswer: -6*f**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -5\/4 (b) 2 (c) 1 (d) 0.0603 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47337586?\nAnswer: 2, 53, 61, 7321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -1.4, 6, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8001120.6us in days?\nAnswer: 0.0000926055625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = -8*j - 51. Let n = j - 36. Suppose 2*o + 1 = h, 2*o - 3*o - 4 = 3*h. Which is the second biggest value? (a) 5 (b) n (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.42 + -3.46. Let m = -5.5 - y. What is m rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453 (base 8) to base 3\nAnswer: -102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0059358044 to five decimal places.\nAnswer: -0.00594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + -36. Let x = 123\/2 + q. Which is smaller: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from ggegeggewengnggvggg.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - s = -6*s + 5 - 175, -4*y - 2*s - 68 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -76 and -1.99.\nAnswer: -77.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g + 51 = 70*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 16 = -0*i - 3*i, 0 = -5*i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2*v**2 + 3*v**3)*(-7029 + 22077 - 10170).\nAnswer: 14634*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 1454573768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 56. Let p(j) be the first derivative of 0*j - 106 - 1\/2*j**2. Calculate l(p(z)).\nAnswer: -3*z + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-48)\/6 + 5 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 110, 167, 224?\nAnswer: 281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1300 or -1299?\nAnswer: -1300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 951002.2 litres?\nAnswer: 951002200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3)*(((j*j\/((j**(-1\/10)\/j)\/j))\/j)\/j)\/j*(j\/(j**(-8)\/j))\/j**2)**(4\/7) assuming j is positive.\nAnswer: j**(506\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -112.2, -2, -1\/2, 3\/5, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**(4\/3)*j**(1\/26))**47)**(-27) assuming j is positive.\nAnswer: j**(-23265\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 12075417.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2955506, 5911126, 8866746, 11822366, 14777986, 17733606?\nAnswer: 20689226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l**2\/9 - 187820*l\/9 + 2628892\/3 = 0. What is l?\nAnswer: 42, 187778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9800?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 14430302.\nAnswer: -3\/14430302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -2\/3685, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 9) to base 14\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14086*k**2 + 23*k + 66 wrt k.\nAnswer: -28172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -994292, -994294, -994296, -994298?\n\"Answer: -2*o - 994290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**3\/3 - 12989*j**2\/2 - 11363*j\/2 + 2435\/3 = 0. What is j?\nAnswer: -4870, -1, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 25405641?\nAnswer: 50811282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*q + 362*q = -5*u + 19, -u + 5*q = 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46030807 to the power of 1\/2, to the nearest integer?\nAnswer: 6785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -517.4752496469 - -3\nAnswer: -514.4752496469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 4 (c) -0.3 (d) -0.0115214\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3, -1 in decreasing order.\nAnswer: 3, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 19*i + 19)*(5 + 4 - 6)*(-2 + 0 + 0) to the form l*i + z and give l.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/5))**(10\/17)*(o**(-1\/2))**40 assuming o is positive.\nAnswer: o**(-334\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48458943 a multiple of 1478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -7, -5, 772, -2\/157, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600711557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31364 less than 2?\nAnswer: -31362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 + 30*o**2 + 6*o + 43. What is the remainder when r(-14) is divided by 72?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -18*z - 3. Let q(d) = 23*d + 6. Determine 7*j(w) + 5*q(w).\nAnswer: -11*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 22*p + 0 - 1\/6*p**3 + 1\/12*p**4 - 1\/2*p**2 + 1\/20*p**5. Factor r(i).\nAnswer: (i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 5*l**2\/2 - 11*l + 259. Let f(b) = 12*b - 23. Let g(w) = -2*f(w) + 5*u(w). Let k(p) = -3*p + 27. Determine -11*g(i) - 4*k(i).\nAnswer: i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 1029 + 51. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 30*l - 1. Let v(i) = 29*i - 1. Let c(s) = 6*q(s) - 5*v(s). Let d(g) = -g**2 - 5*g - 5. Let h be d(-4). Calculate c(h).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -55699394 and 1.2.\nAnswer: -55699392.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (5176\/16)\/((-1)\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2 + (-35)\/(-10). Suppose -d - 3*d = 4*b, 0 = -3*b - 4*d. Put b, -1, g in decreasing order.\nAnswer: g, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6. Let s(q) = x*q + 2*q - 3*q - 2*q**2. Let a(p) = p. Determine a(i) - s(i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6125, -23138, -51031, -89792, -139409?\n\"Answer: 2*l**3 - 5452*l**2 - 671*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4)*4 - sqrt(7)) + (-6*3*sqrt(7))**2 + sqrt(7).\nAnswer: 4*sqrt(7) + 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k = -4*k - 3*y + 1050, 2*k - 2*y = -524. Let s = k + 266. Solve -m + 1 = s*j, 11 = 2*j + 3*m - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 k when two letters picked without replacement from aak.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 24*c - 45 - 3\/4*c**2 = 0.\nAnswer: 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**3\/3 + 60. Let s(u) = -2*u. What is c(s(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 455 and 19630?\nAnswer: 137410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4148923 is divided by 1037228.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85829 + 98?\nAnswer: -85741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f**3 - 3*f**2 - 2*f - 3. Let k(y) = -y**3 - y**2 - y - 1. Let c(a) = 3*k(a) - z(a). What is the second derivative of c(s) wrt s?\nAnswer: -66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*q + 9 = 0, -5 = -x - 3*q - 0. Let m be (-1 - x)*1\/(-2). Let p(d) = 1 - 9 + d + m. Calculate p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*c - 5*z, 0 = -0*c - 2*c + z - 11. What is the common denominator of (3 - 272\/12)\/((-16)\/2) and c - (-5 + 1) - (-61)\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1268 and 16228.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, x: 2, l: 4}. Give prob of sequence xx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/20)\/(1\/2). Let w(o) = o**2 + 9*o - 7. Let n be w(-8). What are the prime factors of (m - n) + (-3)\/(-1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n + 28*n**2 + 886 - 886. Let l(i) = -1455*i**2 - 105*i. Let k(j) = 2*l(j) + 105*y(j). Let f(r) = -2*r**2. Give f(k(x)).\nAnswer: -1800*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35603521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 4 - 4)*(-2 + 6 - 6) + (2 - 3*y - 2)*(3*y - 3*y + 2*y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -1 + (-48)\/(-3). Suppose 0 = v - x + 3. Calculate the remainder when 54 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132301.\nAnswer: 13, 10177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/90 and -101\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 167 divided by -3804\nAnswer: -167\/3804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 814*l**5\/15 - 449*l**4\/6 - l**3\/3 + l**2 + 252. Find the second derivative of m(j) wrt j.\nAnswer: 6512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**5\/3 + 2*m**4 + 13*m**3\/3 + 4*m**2 + 4*m\/3.\nAnswer: m*(m + 1)**2*(m + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*g**5*s*u - g**3*s + g**3*u**2 + 2*g**2*s*u**2 - g**2*s - 2*g*u**2 - 42*s*u**2 wrt g.\nAnswer: -1620*g**2*s*u - 6*s + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 10:44 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 818.1 times 105\nAnswer: 85900.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3485 = 668*u - 786 + 641 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 327381987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2. Let b(v) = -3*v. Let c(j) = 12*j + 2*j - 16*j. Let u(l) = 2*b(l) - 2*c(l). Give s(u(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 + 123 - 50) + -52?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.304 rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -88*y. Let x(f) = f - 44. Calculate x(u(w)).\nAnswer: -88*w - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 552721284*a*p**3 + 66748099*a with respect to p.\nAnswer: 1658163852*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71556 < 71562?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*i - 26*i = -472 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -439776 + 771955. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89638878 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-28)\/8)\/7)\/(16\/64))\/((-145)\/(-1))?\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*y - y**3 + 304*y - 178*y.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o*(o*o**11)\/o)**(6\/7))**(-23\/2))**(2\/97) assuming o is positive.\nAnswer: o**(-276\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/22)\/(22*(-56)\/27104).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, x: 10}. Give prob of picking 4 x.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 110928860 a multiple of 487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -1.6. Which is greater: 1\/7 or a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723943007?\nAnswer: 3, 59, 181, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1724654720 - 1724654720 + 3*x**3 - x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hyahua?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78580963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b. Let m(x) = 35259440*x**2. What is m(h(o))?\nAnswer: 317334960*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(32\/(-12)))\/((-1377)\/816)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 1 (c) 9021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001020101022 (base 3) in base 14?\nAnswer: 204305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 7f?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26*476\/1456*12\/17?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*u = -336*u - 48, -2*u = 2*l - 44 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -5*g + 24. Suppose 3*v = -x + 15, -5*v = -3*x - 9 - 16. Suppose v*j = 16 + g. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t - 50*t - 96 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-100)\/150*(-972)\/27.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-6889)\/(-1411))\/(-83).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180587454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -235*d**2 - 4537*d + 86. What is c(-19)?\nAnswer: 1454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3\/5 - 15*s**2 - 258*s\/5 + 168.\nAnswer: -3*(s - 2)*(s + 7)*(s + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126003105\/167882 + -3\/15262. Let m = p + -750. Solve -m*o**2 + 0 + 4\/11*o**3 + 6\/11*o**4 - 4\/11*o = 0 for o.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + 421 - 7*a**2 - 4*a + a**2 + a**2. List the prime factors of t(0).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -8957.5827?\nAnswer: -8957.8827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 112*f**2 + 174*f - 133. Is 49 a factor of j(111)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5537 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.88774 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*v + 9, -d = -2*v - 2 - 3. Suppose -5*c - 3*m + 8 = -m, 2*m + 8 = 3*c. What is the smallest common multiple of c and 3*1\/d + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 n when four letters picked without replacement from zzzpnnppznnnn.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - z. Let o be i(2). Suppose 3*n - 2*r - 20 = o*n, 0 = 5*n - r - 127. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -26531?\nAnswer: -26532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 121 = -2*k. Suppose 3*j + k = 164. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*p - 2 = 0, -2*d - 5*p = d - 16. Suppose -2 - 6 = -d*a. Solve -2*t = a, 6 = 5*y - 0*t - 3*t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129 + 62 + 4*b**2 + 64 + (-b - b + 0*b)*(4 + b - 4) to s*b**2 + q*b + h and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1994 and 51.\nAnswer: 2045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 4, 5, -2353, 134 in ascending order.\nAnswer: -2353, -4, -2, 4, 5, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = u + 6, 2*s - 5*s = -5*u - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2. Let z(s) be the third derivative of s**5\/60 + s**3\/6 + 233*s**2 + 2. Calculate d(z(f)).\nAnswer: -2*f**4 - 4*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rszzddrsdzzdyzzzy. Give prob of sequence dzy.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l**3 + 2*l**2 + 7. Suppose 2*w - 11 = -4*o + 15, 2*o + 5*w - 17 = 0. Suppose o + 1 = -z. Let q(y) = -8*y**3 - 2*y**2 - 6. Give z*q(t) - 6*a(t).\nAnswer: 2*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (504\/45 - 10)*(-35215)\/2. Let m = -2620023\/124 - a. Calculate the common denominator of m and 71\/10.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 534914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 17*l + 105. Let x be p(5). Suppose 13*w - 19*w = 18. Put 12, x, 4, w in decreasing order.\nAnswer: 12, 4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05166063 rounded to three dps?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/(-65) - 1882\/(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -14254, -28486, -42678, -56812, -70870, -84834?\n\"Answer: 3*b**3 + 2*b**2 - 14259*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87100?\nAnswer: 2, 5, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2598 + 2598.004582. Round v to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -156802, -313559, -470274, -626947, -783578, -940167?\n\"Answer: 21*z**2 - 156820*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26289137?\nAnswer: 7, 536513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(108) + ((4 + sqrt(108))*2)**2).\nAnswer: -496 - 198*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9808*o + 9798*o + 9798*o + 9795*o - 2 - 39187*o.\nAnswer: 12*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -59. Let v = f - -6.7. Which is the biggest value? (a) v (b) 1\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24485 divided by -21?\nAnswer: 24485\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 1. Let j be q(2). Let o be 16\/6*(-12)\/(-8). Let f be (o\/(24\/3))\/(-2). What is the smallest value in f, j, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-7 + 0) - (1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (7\/7)\/(20\/(-340))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by 197\nAnswer: 27\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 63\/2 (c) 5 (d) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -1, -1\/4, -3\/4.\nAnswer: -1, -3\/4, -1\/4, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/sqrt(11) - ((sqrt(5) - (sqrt(5) + 0)**2) + 5)) + 4.\nAnswer: 4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -36 (b) -4 (c) -509\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p**2 - 217*p - 359. Let v be n(74). Let f(w) = w**3 - 10*w**2 - 9*w + 10. What is f(v)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 0*m + 0*m + (-m + 0*m + 0*m)*(-386 + 386 + 12*m) - 2*m**2 + m**2 + 2*m**2 - 18 - 18 - m**2 + 37 to the form o*m + w + f*m**2 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, q: 4}. Give prob of sequence vvvv.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 18*o - 378. What is the least common multiple of 30 and o?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5029 is divided by 1246.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5226990 and 3996.\nAnswer: 94085820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -521 - -520.8. Let p = 224922 + -67701637\/301. Let k = 2\/43 - p. Sort j, k, -0.1, 0.\nAnswer: j, -0.1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 328 - -5177?\nAnswer: 5505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u. Let y(r) = -2*r - 1432589. Give h(y(p)).\nAnswer: -6*p - 4297767","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -d + 4, 0 = 2*d - u - 11 + 2. Suppose -4*p - 143 = -d*w + 71, 2*p = -3*w + 124. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -5*p**8\/21 + 16*p**7\/21 - 5*p**6\/8 - p**5\/6 + 5*p**4\/24 - 11*p**2. Determine t, given that y(t) = 0.\nAnswer: -1\/4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-5))\/(24\/5920). What is the common denominator of (1\/(-2))\/((-12)\/m + 0) and -67\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0402 + -0.4402. What is the fourth biggest value in 8, 1\/3, i, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593935 is divided by 4273.\nAnswer: 4261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3529696 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6499 - -0.3.\nAnswer: -6498.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*s**3 - 2*s**2 + 0*s**2 + 2*s**2.\nAnswer: 25*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1 - z**2 + 5 - z**2 - 4*z**2 wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11420 rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 13*z + 29. Let d(w) = -7*w - 15. Let x(m) = -11*d(m) - 6*n(m). Let h be x(-10). Let f = 8 - 4. Put f, h, -4 in descending order.\nAnswer: f, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s + 6. Let d be p(-3). Let z = d + -11. Let f be -5*(-4)\/16*z. Solve f*y - 4*b + 19 = -3*b, 0 = y - 4*b for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390920, 781851, 1172782, 1563713?\nAnswer: 1954644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000009779959956 rounded to 7 decimal places?\nAnswer: 0.0000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - -0.7. Suppose 5*p - 5 = -2*i, -2*p + p + 2*i = 11. Let v = 257\/5 - 51. Sort h, p, v in decreasing order.\nAnswer: h, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-9) - 25\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.013 - -1.413. Let n = -6.4 + p. Which is the third smallest value? (a) n (b) -6 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*p + 12 + 96 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -147 + 176 - (0 - -20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*u - 142 = 0, -4*h + 3*u = 449 - 137. What is the remainder when 54 is divided by ((-297)\/h - 2\/3) + 30?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 3. Let v be p(-7). Suppose -v*h = -0*h - 84. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 9 = -6. Suppose -3*a = m - 2 - 3, -b*m + 5*a + 65 = 0. Solve 4*z = 3*n - 7, 3*n = -2*n + z - m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 11 = -2*t, 12 = -3*y + 3*t. Let q be (-72)\/450*(y + (-51)\/6). Factor 18\/5*h + 24\/5 - q*h**2.\nAnswer: -6*(h - 4)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1883*y - 348*y**2 + 116*y**2 + 118*y**2 + 118*y**2 - 628*y to z*y**2 + r + d*y and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 9*i + 2. Let w be h(4). Let l be ((-460)\/(-70) + -7)\/(4\/w). What is the nearest to -26\/7 in -3, -0.3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**3\/6 + 4*v + 2. Let h(j) be the first derivative of u(j). Let o(p) = -5*p. Determine h(o(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3217*q + 3. Let z be x(1). Suppose 8*p = 18*p - z. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5974 times -3?\nAnswer: -1.7922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -37*v + 2. Let c be w(-2). Let m(i) = -6 + 75*i - 1 - c*i. Determine m(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, p: 5, l: 4}. Give prob of picking 1 q and 2 l.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133213112 (base 4) in base 5?\nAnswer: -100013023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-27))\/((-2)\/6). Let w = -6960.9 - -6961. Which is the third biggest value? (a) 5 (b) 0.5 (c) w (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1095 divided by -219.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:32 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2657010\/118 + 140\/(-4130)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 53 = -5*c - 5*y, -2*c - 15 = -3*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72891 and 42588?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltr when three letters picked without replacement from {t: 1, l: 1, r: 16}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17819411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 38.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/7 + 2816*l\/7 + 495616\/7.\nAnswer: 4*(l + 352)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k**2 + 1817*k + 14590. Determine h(-8).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 9:24 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 286*v - 52*v + 260*v + (-7 + 2 + 3)*(1 - 1 + 2*v).\nAnswer: 490*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 156785058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**6\/720 + 5*q**4\/6 - 8*q. Let h(u) be the third derivative of t(u). Let k(y) = 1. Determine -h(p) - k(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 7:05 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*d - 154 = -36 + 122. Solve 10 = 4*y + w, -y - d*w + 10 = -0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 445.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17601*s**3 - 5458 wrt s.\nAnswer: -52803*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0*v - v + 4 = 0, 5*z - v + 4 = 0. Suppose 2*c + c - 42 = z. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 7*y**3\/6 + 37*y**2\/2 + 50*y. Let u be i(-6). Let s(f) = f + 3. What is s(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119\/714)\/((-16)\/(-3)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 1. Let m(d) = 2*d - 34. Let v be m(16). Calculate a(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 55186 to the nearest 100.\nAnswer: 55200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159032082 and 4074.\nAnswer: 1113224574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 50 + (1 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-63 - 109 - 41832*u**2 + 41818*u**2)*(0 - u**2 + 0) in the form p*u**2 + q*u**3 + y*u**4 + s + z*u and give p.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77938800 to the power of 1\/2, to the nearest integer?\nAnswer: 8828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*i - 283, 0 = 5*f + 2*i + i - 472. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/(-15) + 1)\/(2\/230)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -19*w + 668. Let o be i(34). Solve 20*y + 22 = o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 61. Let s(j) = -2*j + 61. Let y(i) = 6*p(i) - 5*s(i). Let t be y(-14). Do -2 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26329 is divided by 12978.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -57344 less than -57361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3327961*f**3 - 1109342*f**3 - 1109338*f**3 - 1109275*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**4\/11 - 434*o**3\/11 - 16026*o**2\/11 + 33362*o\/11 - 16900\/11 = 0 for o.\nAnswer: -169, -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 4:37 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30447 times -1?\nAnswer: -30447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1596 and 22686.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*n - 4*s + 5, -15 = -5*n + 2*s. Suppose -2*l + z = -n - 6, 3*z + 13 = -l. What is the remainder when 7 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + (sqrt(33)\/sqrt(3) - sqrt(11)))*4)**2 - 1*(sqrt(33) + (sqrt(1188) - 2*sqrt(1188)))\/sqrt(3).\nAnswer: 5*sqrt(11) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 5*t**2 - 6*t + 8. Let g be z(-6). Let u = g + -61. Let n(f) = 4 + 18*f - 5 + 3 - u*f. Calculate n(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8076 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260665104.\nAnswer: 2, 3, 7, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -30, -82, -176, -324?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 0*n + 1\/5*n**3 + 3\/10*n**2 - 5. Suppose t(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31699 or -5030?\nAnswer: -31699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*c = 3 + 15, c + 18 = 5*b. Let h = 5 - 2. Find m such that 8 - 4*m**2 + 3*m**2 + h*m + b*m**2 + 5*m = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -991*a**3*o**2 + 89*a**3*o + 8994757*a**2*o**2 wrt a.\nAnswer: -5946*o**2 + 534*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 6. What is q(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 - 6*f**2 + f - 5. Let x be l(-5). Suppose -6*o = -o - x. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 1, z: 2}. Give prob of sequence wh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 5, 2\/13, 67?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*k + 8 = 169*k. Let o(d) = -18*d**2 + d**3 - k + 13*d**2 + 0*d**3. What is o(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 8. Let h be w(7). Which is the second biggest value? (a) -1\/2 (b) h (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/15))\/((l*l*l\/((l*l*l**(1\/37)*l*l)\/l)*l)\/l) assuming l is positive.\nAnswer: l**(496\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2571046947.\nAnswer: 3, 7, 13603423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*((-200)\/15)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 8 = -3*c. Suppose 16 = i + 2*d, c - 90 = -4*i - 4*d. What is the lowest common multiple of 10 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 4*a**2 + 4*a - 2. Let p be b(-5). Let c(o) be the first derivative of 5*o**2\/2 + 3*o + 10. Give c(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**1)**(34\/7)*t**4\/(t\/(t\/(t**(2\/13)*t))))**(10\/13))**(-5\/8) assuming t is positive.\nAnswer: t**(-925\/676)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**3 + 13*t**3 - 957 + 319 - 3*t**3 + 321 + 79*t + 319.\nAnswer: 7*t**3 + 79*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22544, 45082, 67632, 90200, 112792, 135414, 158072?\n\"Answer: f**3 + 22531*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2735401 - 2735401 + 11*z**3 - 12*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3237.\nAnswer: 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 13. Suppose 18 = 2*f - r*b - 13, -3*f + b + 43 = 0. Suppose -m + 27 = -0*m. What is the remainder when m is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -11*g**3 - g**2 - 2*g - 2. Let h be y(-1). Let u(v) = -v**2 + 11*v - 13. Calculate u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*h**5 + 10*h**3 + 3241*h**2 wrt h.\nAnswer: 7860*h**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-7) + (-74)\/14. Let i = 22446 - 22445.1. What is the fourth biggest value in m, -0.25, i, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 0*y + 3*y + 387 - 387. Let d(b) = 18*b - 4. What is o(d(a))?\nAnswer: 54*a - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 194 by 162.\nAnswer: 97\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*g**2 + 2*g**3 - g**3 + 9 + g + 80*g**2 to the form n*g**3 + x*g + w + k*g**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 160339 divided by -1897\nAnswer: -160339\/1897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 7741957.\nAnswer: 5\/7741957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(243) + (-2 + 3 + sqrt(243))**2.\nAnswer: 27*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.75680939 to three decimal places.\nAnswer: 8.757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/5 (b) 2\/7 (c) -5\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215 = -5*k + 2*q, q = 4*k + 3*q - 172. Suppose 8*w + 11 = k. Determine c, given that 1\/4*c + 1\/4*c**w + 0 - 1\/4*c**2 - 1\/4*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1517*q + 299*q + 308*q + 304*q + 302*q + 303*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*i - 14*i - 19*i + (-2 + 0 + 0)*(-3 - 2*i + 3).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 - -42. Let p = o - -21. Suppose 2*u + 82 = 2*v, -2*u = 2*v + p*v - 188. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 5*h**3 + 7*h**2 - 18*h + 15. What is the thousands digit of t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 3769.\nAnswer: 160\/3769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1110344141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 12*k**2 - 9*k - 1. Let q be h(11). Let a be 2\/3 - q\/(-9). What is the third derivative of -a*g**3 + 2*g**2 + 3*g**3 + 3*g**3 wrt g?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 20. Let q be b(4). Factor 4\/5*w + 1\/5*w**3 - 4\/5*w**2 + q.\nAnswer: w*(w - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154\/5 + -32. Let f = -32\/35 - j. Suppose 0*t**3 + 0 - f*t**4 + 6\/7*t**2 - 4\/7*t = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(1 + 0 + 0). Let r = 10 + -10. Suppose r = -4*j + j + 12. Put n, j, -5 in decreasing order.\nAnswer: j, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 250069329*q**3 - 34021195*q + 1 wrt q.\nAnswer: 1500415974*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8361738 or 8361739?\nAnswer: 8361739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10574 is divided by 311?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -2 - 147577\/170. Let s = 866 + h. What is the common denominator of s and -43\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -908 - -1587. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9056, -9055, -9054, -9053, -9052, -9051?\n\"Answer: q - 9057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 11 = -3*c. Let k be (-3 - 0) + 7\/c. Solve 0*q = k*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -13, 5, 1, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42\/63)\/(3\/(-27)*1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -106*g**2 + g - 2. Let m(c) = 114*c**2 - 2*c + 3. Calculate -3*l(p) - 2*m(p).\nAnswer: 90*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -2\/11, 264.6, -1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.11, -0.1, 0, 4\/3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.566 - 0.566. Let k = 0.1 + 0.1. Suppose 4*p + 5*s = 16, p - 4 = -2*s - 3*s. Which is the fourth smallest value? (a) p (b) k (c) z (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12121 = -202*y + 171*y. Let k(f) = -f + 17. Let o be k(0). Calculate the highest common factor of o and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 7*t**2 - 6*t + 5. Suppose 2*p - 9 = -p. Let o be -9*(-1)\/(p\/(-2)). Let s be d(o). Let y(j) = -3*j + 5. Determine y(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*s = 17 - 69, -1331 = -2*n + 3*n + 70*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-83916)\/(-1512))\/(0 - 0 - 6\/(-464)).\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1388812 and 9752.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 51\/2 of a microsecond?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-13) + 18\/(-390). Let j be (-24)\/12*1\/3. Is a <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (356\/(-160) - -5)*-4 and 69\/380.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 8*q - 7. Let b(t) = 2*t + 30. Let w be b(-19). Determine n(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x - 3*x + 0*x + 7*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -6. Suppose 2*p - 1 = 3. Suppose -3 = p*j - 1. Which is the closest to j? (a) 0.2 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 < 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 202 + 158)*(0 - 2 + 1)*(-10*j + 10*j + j**3).\nAnswer: -344*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 17*k. Let p(i) = -35*i. Let q(b) = 7*g(b) + 3*p(b). Let w(r) = -4*r. What is w(q(y))?\nAnswer: -56*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -eee0 (base 16) in base 4?\nAnswer: -32323200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -23. Solve -2*w + 2*d + 3*d = 0, -3*w + 9 = -p*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 25 = -f, 22*b + 14 = 18*b - 2*f for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 348 + -344. Suppose 0 = d + 5*k - 956, -16*k + 3824 = t*d - 15*k. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2. Let b(a) = -2*a**2 + 9*a - 215922. Calculate b(c(n)).\nAnswer: -18*n**4 + 27*n**2 - 215922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18580 rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1745718 + 2*s**2 + 0*s**3 + 3*s**3 + 3*s**3 + 1745718.\nAnswer: 6*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - 120?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87626027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2. Let o(g) = -2628529*g. Determine k(o(t)).\nAnswer: -13818329407682*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/12*5\/((-5)\/(-36)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = j + 9, -2*m = -2*j. Suppose -m = 3*g - 2*g. Sort 5, -7, g in descending order.\nAnswer: 5, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 11:37 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 2890311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.661 - 0.339. What is the nearest to -0.3 in k, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 214*c**3 + 60 wrt c?\nAnswer: 642*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 196\/(-147) + (-15433)\/(-3) + -11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -7. Suppose 3*t = 14 + s. Suppose -3*l = -t*l + 10. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 15. Let h be (-1)\/(-3)*(-3)\/(-2). Let m = -1079800 - -1079800. What is the closest to m in h, i, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.163, -1?\nAnswer: -0.163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - c = -19, 1940*t + 3*c = 1941*t - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 807 + 2*x**4 - 805 + 2*x + 0*x**4 + x**3 to s*x + t*x**3 + q + z*x**2 + u*x**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 330870 to the power of 1\/2, to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -546*t + 536*t + 36560 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -918, -4949 in decreasing order.\nAnswer: 1, 0, -918, -4949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 794 + -3971\/5. Let q be ((-8)\/(-10))\/((-2)\/5). Put -5, q, w in descending order.\nAnswer: w, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5, 7*n - 5*n = 4*r - 38. Which is the biggest value? (a) -2\/9 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 14*o - 126. Calculate the remainder when (69 - (2 - 1)) + 1 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**8\/168 + 11*c**6\/15 - c**5\/60 + c**4\/4 - 74*c**2. Find the third derivative of g(v) wrt v.\nAnswer: 120*v**2 + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234185?\nAnswer: 5, 7, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*h + 4*b, 0 = -4*h + 3*b - 5*b + 8. Suppose -j = 2*g + h, 0 = -3*j + 3*g + g + 24. Solve -3*l = -l - j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207412, 207124, 206836, 206548?\nAnswer: 206260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5\/2, -0.256, -2, 2\/19?\nAnswer: -0.256","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14025 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1981.709 centuries to millennia.\nAnswer: 198.1709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 b when four letters picked without replacement from {b: 7, u: 9}?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2063 = -3*n - 3*g, -4*n = -g - 2053. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x + 3 - 3 - 28*x + 19*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 18*k**2. Let c(y) be the third derivative of y**4\/24 - 7*y**2. What is c(r(h))?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1053088102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -150*z + 452. Let n be i(3). Factor -3\/5*r**n + 6\/5*r + 0.\nAnswer: -3*r*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4*-1)\/((-5)\/(-650)). Let n = -25 + g. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8734267 is divided by 1746834.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 60004.7689893.\nAnswer: 60009.7689893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -453 + 446. Let l(h) = -h**2 - 6*h. Calculate l(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-10) - (-12 + 11).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.2 + -3. Let l be 4\/6 - 7175\/8001. Let y = l + 1\/127. What is the third biggest value in 2, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*d = -4*d - 2, 4*d - 18 = 5*i. Let s(j) = j**2 + j - 1. Let f be s(1). Let n be 1\/((-2)\/4) + (-7 - -13). Sort n, f, i.\nAnswer: i, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 129.9 + -124.9. Which is the third biggest value? (a) g (b) -4\/9 (c) -1\/6 (d) -0.053\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 35*c**3\/3 + 136*c + 162. What is the derivative of y(f) wrt f?\nAnswer: 70*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-10)*(-3)\/16*4. Sort 2\/15, 0.3, -0.2, f in ascending order.\nAnswer: f, -0.2, 2\/15, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 16*h + 4. Let s be o(4). Suppose 795*v + 216 = 1011*v. Which is bigger: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 37*z**3 - 2*z**2 + 2*z - 2. Let y(k) = -6474*k**3 + 351*k**2 - 351*k + 351. Let c = 15 + 336. Calculate c*w(l) + 2*y(l).\nAnswer: 39*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -24.84. Let a = d + 3.84. What is the biggest value in 1\/5, -23, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*z - 23529, 5*i - 2572 - 13091 = -2*z. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 203872 and 31096.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**5\/10 + g**4\/24 + g**3\/6 - 123*g**2. Let i(k) = 19*k**2 - 3*k - 2. Let x(d) = 3*i(d) + 8*n(d). Determine x(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1351*f + 751*f + 1798*f - 138*f as n*f + u and give n.\nAnswer: 3762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 209167432?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**7\/1260 - d**4\/8 - d**2. Let f(j) be the second derivative of l(j). Let t(b) = -2*b. Give f(t(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -22010?\nAnswer: -22001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, j: 2, w: 2, d: 1, g: 1}. Give prob of sequence gdw.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 871 is divided by 686.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -464 (b) 2\/17 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3575.088973 rounded to one dp?\nAnswer: -3575.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of n**4\/3 - 1711*n**3\/6 - 13013*n**2\/2 - 183*n - 7. Differentiate r(u) wrt u.\nAnswer: 8*u - 1711","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2 - 1. Let z be j(-1). Let p = -11.7 - -11.7. Which is the closest to p? (a) -0.4 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + m. Let p be c(-1). Let i = p - 1. List the prime factors of (10 + i)\/(-3) - -14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 5*i + 4*y - 242, 5*i - 4*y = 192. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.4 (c) 7\/17 (d) 2\/25 (e) -500\/11 (f) 2 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-833)\/(-68) + (-1)\/4. Let c = q - -6. Suppose -y + 3 = -c. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34 and 552?\nAnswer: 9384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d = -16*d - 2*b - 10, d - 5 = b. Let v be 144\/54*(5 + d - 2). Solve 0 = 5*y + 2*k + 1, -v*y = -3*y - 3*k + 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -6. Let c(l) = 2*l**2 + 4*l + 8. Let h(v) = -354*v - 2*v**2 + 592 + 350*v - 599. Give x*h(u) + 5*c(u).\nAnswer: -2*u**2 - 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.408 rounded to one decimal place?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 - 5. Let f = 20.22 - -109.08. Let o = 129 - f. Put o, 4, s in increasing order.\nAnswer: o, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwwfw. What is prob of picking 2 w and 1 f?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 3:00 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 4286641 and 21464646.\nAnswer: 25751287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in -38, -243, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 0*c**3 + 0*c + 25\/2*c**4 - 84*c**2 + 1\/40*c**6 + 0 + c**5. Determine p, given that l(p) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3.84 (b) 0.01 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.65284 decades to years.\nAnswer: 546.5284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -40, -38, -36?\n\"Answer: 2*j - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -13*q**3\/2 + 17*q**2\/2 - 6*q. Is s(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 29*i + 137. Let h(l) = 120*l + 541. What is -2*h(a) + 9*p(a)?\nAnswer: 21*a + 151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 308 = 4*i, 3*h = -3*i - 0*i + 240. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtu when three letters picked without replacement from {t: 6, m: 8, u: 3, f: 2}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1030*a - 1001. Let p(x) = -3089*x + 3004. Let z(c) = -11*j(c) - 4*p(c). Find the first derivative of z(o) wrt o.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 8 + 14)*(-397 + 397 - 4*x) + (3 + 1 - 8)*(x + 2*x - x).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-54)*677\/(-6). Let j = -75\/4 - s. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d - 17 + 7 + 10 to h + c*d and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7765, 7764, 7763, 7762, 7761?\nAnswer: 7760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 - 1011001?\nAnswer: -1010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29899 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109866 is divided by 36621.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17089 is divided by 8238.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 6*f**2 - 6*f + 4. Let n be q(-2). Let g(s) be the first derivative of 0*s + 0*s**2 - 1\/8*s**4 - 2 + 1\/10*s**5 + n*s**3. Factor g(u).\nAnswer: u**3*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3 - 96 = 0. Suppose 0 = 3*o + 2 + 1. Let l be 3 + o + 1*3. Solve l*g = -z + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-7))\/(11*36\/693)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -62*j + 56*j. Let w = j + -50. Solve m - 4*m - 9 = w for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = 0, -5*v = -5*g - 3*v + 14. Suppose 20040 - 18248 = 28*d. Calculate the greatest common factor of g and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19109 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*w - 3*w + 6*w)*(-3 + 3 - 1)*(-w + 2*w - 2*w).\nAnswer: w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m - 3*m + 870 - 877 in the form x + t*m and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -406 - 674. Let l(t) = -12*t**3 - 3*t**2 - 2*t - 3. Let f be l(-2). Suppose -5*y + j = f. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*sqrt(133)*-2)\/((sqrt(63) + ((-5*sqrt(504))\/sqrt(8) - sqrt(63)))\/sqrt(9)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*p + 81, 5*x + 0*p + 2*p = 234. What is the remainder when (6\/(-8))\/((-2)\/x) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 270\/19 less than or equal to 2802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 138550?\nAnswer: 10668350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 2*h - 3*h)*(-13*h + 22*h - 16*h) to o*h + j + c*h**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 916906 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8797b1 - -59?\nAnswer: -879754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j + 45*j = -12. Which is the closest to j? (a) 0.3 (b) 0.2 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/984672 and -127\/683800.\nAnswer: 24616800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -14 - 1) + 9 + 3 + 10.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 406\/397 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**6 + 554*p**4 + 3230*p**2 + 15*p wrt p?\nAnswer: 480*p**3 + 13296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*z + 129*z - 264 = 0. Suppose 676 = -z*h + 13975. What is the highest common factor of h and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 2 - 1 + 0 + 11 + 8*t - 11 + (-1 + 2 + 1)*(5*t - 2*t - 2*t).\nAnswer: 9*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12065.\nAnswer: 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 182 divided by -2\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 2, -3\/4, -3\/7.\nAnswer: -5\/3, -3\/4, -3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 869 + 961 = -2*k, -2*k = -4 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1320400 + -4040?\nAnswer: -1324440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in -5, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13032, -13052, -13096, -13176, -13304, -13492?\n\"Answer: -2*m**3 - 6*m - 13024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*x + 48 = 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 - -49. Suppose n*y - 671 = -197. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/16926 and 37\/7254.\nAnswer: 50778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1715, -1727, -1737, -1739, -1727, -1695?\n\"Answer: s**3 - 5*s**2 - 4*s - 1707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 569*j - 1709. Let k be f(4). Calculate the greatest common factor of k and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/1347 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4867729911.\nAnswer: 3, 11, 61, 89561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 309, 377, 443, 507, 569, 629, 687?\n\"Answer: -l**2 + 71*l + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.005 + 1.295. Let k = w + -1.7. Which is the nearest to k? (a) -1 (b) -0.5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*h*y**2 + 3*h*y - 11*y**2 + 1 with respect to h.\nAnswer: -61*y**2 + 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(11130\/2968)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 21*h**2 - 22*h - 8. Let k be l(-22). Let f(c) = c**2 + 7*c - 5. Let x be f(k). What is the greatest common divisor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*c**4 - 1085*c**3*s + c**3 + 3*c**2*s - c**2 - 285*c*s + 206*s wrt c.\nAnswer: -720*c - 6510*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s**2 + 6*s - 3. Let j be n(5). Let c(w) = 36*w + 560. Let m be c(-19). Which is smaller: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 13) to base 5\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80418101*s**2 - 93115758*s wrt s.\nAnswer: 160836202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1323123031 (base 5) to base 8.\nAnswer: -14555433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -437.76 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.1781 - 0.1481. What is j rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.375, 2\/5, -0.5.\nAnswer: -0.5, -0.375, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(32)\/sqrt(8)) + 2 + sqrt(9)\/sqrt(3))**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23352 - -23352. Let 6\/19*u + o + 8\/19*u**2 + 2\/19*u**3 = 0. Calculate u.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54347 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 14 = -3*p, 11*p - 10 = -5*l + 6*p. Suppose 0 - 1\/9*q**2 - 1\/3*q**l + 0*q + 1\/3*q**3 + 1\/9*q**5 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10 - 4 + 2 + 6 - z. Let f be i(8). What is the common denominator of 24\/f*(-32)\/(-24) and 18\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + l + 0)*(1 - 3 + 0)*(0*l - 3*l - l)*(-2 + 8 + 7).\nAnswer: 104*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from aaaaatttaataaaataa.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1824 divided by 15?\nAnswer: -608\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 211 - 91. Calculate the least common multiple of 48 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 61, 272, -161 in ascending order.\nAnswer: -161, 0, 61, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 27 + (-5 - (1 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25739 + -25738.99931879. What is s rounded to 5 decimal places?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 - 3*c - 3. Let h be 1\/10*4 - (-46)\/10. Suppose -5*u + h*f = -0*f, 4*u - f = 6. Let t(s) = s**3 - s - 3. Let q be t(u). Determine g(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.245559km in nanometers?\nAnswer: 4245559000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)*i\/(i**(-2)\/i)*i*(i**(2\/7)\/i)\/(i\/(i**(-6)\/i)))**(-4) assuming i is positive.\nAnswer: i**(576\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 14*c**2 + 13*c + 3. Let f be x(-13). Factor -2\/3*r**2 + 0 - 6*r**f + 26\/3*r**4 - 10\/3*r**5 + 4\/3*r.\nAnswer: -2*r*(r - 1)**3*(5*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 799 + 1269 - 351)*(7*x - 3*x + 0*x) - 5*x + 5*x + 2*x + 1 - x - 1 + (2 + 3 - 3)*(-3*x + 5*x - 3*x) as f + y*x and give y.\nAnswer: 6747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 9*m + 26. Let s be i(11). Solve 0 = s*k - 11 + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -13. Let m be (-46)\/(-10) + f\/(-15). Solve m = -p, 30 = -5*a + p - 4*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8282 and 127462?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 0 - 2 - (-36 + 29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 124. Let j(m) = -1962*m**2 - 7*m. Calculate c(j(p)).\nAnswer: 1962*p**2 + 7*p - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04969045544 to six decimal places.\nAnswer: -0.04969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 26393 = 10*y, 0 = y + 11*w - 7*w - 2643. Calculate the smallest common multiple of y and 14.\nAnswer: 5278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/65 and 1 - 15\/21 - (-458)\/(-182).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(180))*6*3 + (0 + 2*sqrt(180))*5)**2.\nAnswer: -12096*sqrt(5) + 142416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -5 (c) 11\/366 (d) -2\/295\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40b8f (base 16) in base 8?\nAnswer: 1005617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*l**2 - 7*l**2 - 85 + 102*l**2 + 85.\nAnswer: 146*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -37 + 62 - 26?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 1748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6718 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2658)\/(-30) - (-6)\/(-10). Suppose -3*g + 2*i = -t - 62, 2*g = -2*i + 90. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 42593*s + 298157. What is c(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 3 - 2)*-1. Let o(c) = -30*c + 1. Is o(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384082687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 7*w - 803 = -234 + 379, 0 = 5*f - 11*w + 1506 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1035 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*g, 4*w + 28 = 9*w - 4*g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-180*y - 178*y + 180*y)*((4 + 1 - 4)*(0 + 2 - 1) - 3 + 1 + 5).\nAnswer: -712*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/7 - 127956*i\/7 - 2046592242\/7 = 0 for i.\nAnswer: -31989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -1744 and -1743 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, i: 1, n: 2, r: 1}. What is prob of sequence ri?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (53 + 18 + (18 - 60)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2940830738 and 511.2?\nAnswer: 2940831249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15431088.33ms?\nAnswer: 0.025514365625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -29*y**2. Let i(j) = 890*j**2 - 3. Calculate i(z(u)).\nAnswer: 748490*u**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 0*t + 0*t + (36*t + 3*t + 11*t)*(-1 + 0 + 2) - t + 0*t + 2*t.\nAnswer: 49*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**0)**26 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 + 4 = 0. Find the second derivative of 0*w - 6*w**i + 4*w**2 + w wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m - 34. Let p be q(-15). Let y be (4*(13 - 14))\/(p\/23). Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*p**3 - 5*p - 6*p**3 - 10*p**3 wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 150.9891 and 0.3.\nAnswer: 45.29673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 79 = -23. Let g = l + -26. Solve d - 4*s + 10 = -g, -3*d - s = 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 7*m**2 - 10*m - 14. Let x be s(-8). Let b be 29 - (x\/(-1 - 0))\/2. What is the remainder when 57 is divided by (20\/50)\/(1\/b + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**2 + 3*g. Let a(j) = -10*j. Give u(a(x)).\nAnswer: -300*x**2 - 30*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30595 + 30627. Solve 0 = -81*f + 97*f - x for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - 2*c**3 + 77*c**2 + 2 + 72*c**2 - 212*c**2 + 67*c**2 - 78*c to j*c + v*c**3 + k*c**2 + s and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90672 is divided by 240?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*t**3 + 451*t**3 + 44*t**3 - 167*t**3.\nAnswer: 984*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/3))**48*(b\/b**(-9))**(-30) assuming b is positive.\nAnswer: b**(-236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 34. Calculate the remainder when i is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2*sqrt(209)*5 - 5*(sqrt(209) - (sqrt(209) + sqrt(209) + sqrt(209)*-3)))\/(-2*-3*sqrt(99)))**2.\nAnswer: 7600\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (10 - (3 + 1)). Let n(z) = -107*z + 24. Does 4 divide n(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 - -115. Let f = z - -51. Calculate the lowest common multiple of f and (11 + 1)*(-1)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-28)*3*1\/6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) 7\/5 (c) 3 (d) -1 (e) -0.013 (f) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 13*s - s**2 + 13 - 4*s. What is the tens digit of n(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -1 + -4 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 1. Suppose -7*i + 2*i + 10 = -5*s, -i = 5*s + 4. Let a(l) = -2*l**3 + 5*l - 4. What is s*a(b) + 5*k(b)?\nAnswer: 2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3479181*q**2 - 433492.\nAnswer: -6958362*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605)*-4 - sqrt(15)\/(sqrt(6)\/sqrt(2)).\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-6))\/(-7)*285\/38*-4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2.4, 4, 2\/9, -3?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:26 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26468 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010010 - -100?\nAnswer: -110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, a: 1, m: 5, j: 3, y: 1}. What is prob of picking 2 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163248706.\nAnswer: 2, 3613, 160981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {s: 1, t: 5, p: 4, j: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5660, -5656, -5650, -5642?\nAnswer: -5632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 9957 = -2*w, 0 = -5*w + 3*p + 21654 + 3244. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 726 and 506.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**3 + 6 - 12*f**3 + 91*f - 19 + 12 + 2*f**2 wrt f.\nAnswer: -48*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2. Let j(a) = -3*a**2. Let t(n) = 6*j(n) + 4*u(n). Let i(o) = o**2 + 9*o**2 - o**2 - 5*o**2. What is i(t(v))?\nAnswer: 144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 12*q**2 + 2*q - 15. Let a be z(12). Suppose -4*p + 5*p = a. Solve 0*d + p = -5*j - 3*d, 0 = -4*j - 5*d - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1263*z**3 + 5*z**2 - 3*z - 20 wrt z.\nAnswer: -7578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*1*sqrt(91)*-6)\/(sqrt(504)\/(sqrt(512) + -1*sqrt(512) - sqrt(8))).\nAnswer: 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 51363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5045 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 87, 115, 155, 207, 271, 347?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -1 - (228 - 230)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -34 (b) 1 (c) 2 (d) -2.2124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 193, 301, 297, 91, -407?\nAnswer: -1287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 886, 1316, 1354, 994, 230, -944?\nAnswer: -2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 30)\/8*(-2)\/(-92)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21429*w**4\/4 - 5364123*w**3\/4 + 7053981*w**2\/4 - 1688877*w\/4 - 11205\/2 = 0. What is w?\nAnswer: -30\/2381, 1\/3, 1, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1222712*r + 1222711*r + 11 = 3*l, 0 = r + 5*l - 7 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.27 + 17.27. Let a = -17.3 + p. What is the second smallest value in -1, a, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, v: 3, s: 1, k: 5, a: 1, y: 1}. What is prob of picking 1 s and 1 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3812634 and -50\/272331.\nAnswer: 3812634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**8\/10080 - w**5\/20 + 5*w**2. Let u(j) be the third derivative of x(j). Let g(q) = 2*q**2. Calculate g(u(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2615 = -13*q + 2576 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10 + 38940\/(-94400))\/((-1)\/8)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 9*x**2. Let q(s) be the second derivative of s**3\/6 - 21*s. Give i(q(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 - 5*t + 7. Determine s(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 1) + (-33 - (-17 - 3)) - 16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 32*i - 1407. Calculate m(43).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 7*d**2 - 19*d + 12. Let v be c(9). Let k(s) = s**2 - 10*s + 33. Let u be k(v). Solve 0 = -3*f - 9*f - u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + 1. Let s = -0.4 + y. Let d = s + 0.6. What is the third biggest value in -2\/7, d, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 6:40 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*g - 80 = 54*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19792 (base 10) to base 14.\nAnswer: 72da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28174 - 28174. What is the biggest value in 4\/19, -6, m, -1\/3, -0.6?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111395, 111422, 111497, 111644, 111887?\nAnswer: 112250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -64\nAnswer: 69\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-59 + 30 + -12)) + -9 + -10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5497799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= -15065162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + n**2 + 5*n**2)*(-4 + 2 + 0)*(0*n**2 + 0*n**2 + n**2) + 4*n**4 + 30*n**4 + 3*n**4 + (4*n**3 + n**3 - 6*n**3)*(-1 - n + 1).\nAnswer: 34*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1510 - 837. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1583 - -1571) + (1 + -1 - 1 - -1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) + -4*sqrt(91) + sqrt(91))*-4)\/(sqrt(847) + 4*sqrt(847)) + 0.\nAnswer: 9*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.29 + 0.01. Let l = -11 - -155\/14. Let z = -3\/7 - l. Which is the third biggest value? (a) r (b) 5\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -841 and -1281.\nAnswer: 1077321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/8932 and 129\/12760.\nAnswer: 89320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14626 or -17029?\nAnswer: -14626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -16. Let h be (-14)\/w + 8\/(-12). Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -17, -45, -75?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**2\/13 + 6674826*v\/13 + 13349660\/13 = 0.\nAnswer: -2, 3337415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -12 + (-2 + -1)*-1. Let g(y) = y - 5. Let a be g(v). Does 4 divide (-6)\/3 - a*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0052650003 rounded to six decimal places?\nAnswer: -0.005265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Sort -8, o, -3 in descending order.\nAnswer: o, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*y - 189 + 52, -61 = -2*t + 5*y. Let n = -28 + t. Let v = 27 + n. Does 14 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 6 = -2*j, -48*j - 35 = -15*j - 101 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.386 + -1.386. Suppose -5*i - 33 = -2*d, 2*i + 19 = 4*d - 39. Sort d, -0.1, q, 0 in increasing order.\nAnswer: -0.1, 0, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 924 and 588.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 602, 538, 474, 410?\n\"Answer: -64*b + 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39343721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 981 a factor of 1739313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 - 19*n - 11. Let t be q(-10). Which is smaller: -20 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 7*s - 1710. Suppose 0 = -4*u - 0*u - 4*a + 580, 4*u = a + s. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or -420?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.49 (c) 1\/4 (d) -14 (e) -0.3 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3275 - 3555 = 28*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/37 in -48, 0.77, -3?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3365 (base 11) to base 6.\nAnswer: 32255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-2)*2\/6. Suppose -w + 2*w - r*f = -17, 3*w = -5*f. Let z(p) = 5 + 11 - 5 + p. What is z(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(10\/3)*q)\/q*q**18 assuming q is positive.\nAnswer: q**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -2 + -1*sqrt(19) + (sqrt(152)*1)\/sqrt(8).\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*g + 15 = 3, 0 = -2*q - g + 7. What is the remainder when 36 is divided by q*(21 - -2) + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/((-4)\/(-8) + 0). Suppose -f = m + 101, -t*m - 4*f - 107 = -2*m. Let k = m + 104. Solve -5 = k*s - 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -208.3 + 165.15. Let a = 44 + j. Let g = a - 0.721. What is g rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**8\/3360 - g**5\/40 + g**4 - 9*g. Let t(i) be the third derivative of k(i). Differentiate t(l) with respect to l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 28 = -10*m + a - 32, -5*m - 143 = 59*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*f + 3*f. Suppose f*c = -c - 32. Does 26 divide (-27)\/36 + (-582)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4849 = -1489*z + 2596. Suppose -4 + 22 = 3*j. Solve -31 = -z*b - j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -1\/6*o**3 + 5*o**2 + 0 - 5\/24*o**4 + 0*o + 1\/60*o**5. Calculate y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 20206512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 2*h**2 - 544*h + 12831. What is l(17)?\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134251 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1102144?\nAnswer: 2, 17, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(60)\/sqrt(3)) - ((sqrt(27))**2*-2 + (0 + sqrt(363))**2))*2.\nAnswer: -618 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.3 from 55307974086.3.\nAnswer: 55307974084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10975 and 64094.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248 - -1238. Let g = 6 - 3. Suppose g*z + u - 596 = 0, z + o = 6*z + 5*u. What are the prime factors of z?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 1.2. Let i = -11.1 + 11. Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 51.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g - 9. Suppose 0*x = -4*x + 2064. Suppose -g*k = 4*z - x, -z + 5*k = -34 - 72. Calculate the highest common divisor of z and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2470 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14, -29, -54, -89, -134, -189, -254?\n\"Answer: -5*j**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-15)*(-35)\/(-20)*(-25)\/30*8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 12:47 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 0*d**2 + 0*d**2)*(-5*d + 11*d - 2 + 8*d).\nAnswer: 28*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3586, -3607, -3628, -3649, -3670?\n\"Answer: -21*d - 3565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 3*d**2 - d + 3. Let s be h(-3). Suppose -3*y + 5*f + 39 = s, 3*f = -y - 3. What are the prime factors of y\/(-15) - 17\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2773, 2901, 3059, 3253, 3489, 3773, 4111, 4509?\nAnswer: 4973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 103 (b) -4 (c) -3\/2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 5*n + 10, 2*n = -5*u - 2*n + 8. Let z be 3\/(-9)*(15 - u). What is the second smallest value in 3\/2, -1\/3, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 42?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007287810591 to five dps.\nAnswer: -0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:37 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.7165*0.2\nAnswer: 0.1433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from {v: 8, n: 1, i: 6}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858 + -0.01.\nAnswer: 857.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 16. Let l = x - -14. Suppose t - i = 39, -12 = 4*i + l. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i. Let z be w(1). Let b = z + 2. Let m be (-108)\/(-63) - (15\/21 - 1). Put -1, m, -7, b in ascending order.\nAnswer: -7, -1, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184 + -921\/5. Which is the smallest value? (a) -4\/7 (b) y (c) 5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = 2*l - 0, 0 = 4*l - 5*q + 16. Solve -16 = 5*x - l, 2*f - 6 = 4*x for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2625\/134 - -6\/67. Let v = c + 79\/4. Let 0 - v*h**2 + 1\/4*h - 1\/2*h**3 = 0. What is h?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 57518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2502*z = 2464*z + 3610 for z.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.99011 - -0.081.\nAnswer: -0.90911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -6, -243 in descending order.\nAnswer: 4, -3, -6, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2050277 (base 8) to base 5\nAnswer: -114414314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2020914 or 2020989?\nAnswer: 2020989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c + 1. Let v(t) = 12*t - 3. Let d(a) = 9*j(a) + 2*v(a). Let y(g) = 30*g - 30. Let h(x) = -21*d(x) - 2*y(x). List the prime factors of h(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 3*o + 2. Give a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 + -88. Suppose -17*l + g*l = 2960. Does 29 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.3 + -37.3. Which is the nearest to -2\/25? (a) 0 (b) j (c) -5\/3 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 14*d. Which is the second smallest value? (a) d (b) -2\/15 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-6) + ((-5871)\/342 - -53)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 7*m - 17, -r - 32*m - 25 = -0*r - 30*m for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1135, 2234, 3335, 4438, 5543, 6650, 7759?\nAnswer: 8870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + d + 2. Suppose 0*i = 3*i. Let k be o(i). Let r = -32 - -34. Calculate the highest common factor of k and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -486, 3 in increasing order.\nAnswer: -486, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1233 - 140*r + 2*r**2 + 124*r - 1114 + 2*r**3 to the form g + j*r**2 + x*r**3 + a*r and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o - 8 = 0. Let g(u) = u**2 + 5*u - 3. Let t be g(-5). Let w = t + o. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 - 162. Let c = 162 + f. Calculate the greatest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/945)\/((-2)\/10). Which is the fourth smallest value? (a) -3\/7 (b) s (c) 3\/2 (d) 371\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**4 + 3*t**3 - 2*t + 3. Let i(l) = -l**4 - l**3 - 1. Suppose -8*x + 6*x = 4. Let m(q) = x*g(q) - 6*i(q). Find the second derivative of m(u) wrt u.\nAnswer: -72*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/3438568 and 55\/736836?\nAnswer: 10315704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50.9 + -50.647. Let a = 0.047 + m. Let z = -155\/28 + 21\/4. Put z, -9, -1\/5, a in ascending order.\nAnswer: -9, z, -1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17379632, -17379657, -17379698, -17379755, -17379828?\n\"Answer: -8*w**2 - w - 17379623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 8) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3070509629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 8 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*z + 5*z**2 + 7*z + 5*z - 25 - 3*z.\nAnswer: 5*(z - 5)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 3*w - 1. Let h be f(-4). Let r be (-9)\/6*(-16 - -2). Let i = r - 11. Solve -h*v - 15 = -z - 3*z, 0 = 2*v - z + i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**5\/10 - 7*j**4\/6 + 5*j**3 - 9*j**2 + 7*j. Determine c so that i(c) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 12*p = -30. Which is smaller: -2\/3 or p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2334345 (base 8) to base 13\nAnswer: 194021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4559 - -7484. 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: Let j = -221 - -419\/2. Suppose 0 = s - 17 + 6. Let n = s + j. What is the second biggest value in -2, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 59. Sort 5, -8, s in decreasing order.\nAnswer: 5, s, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 - 13*h + 128. What is g(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -529880 by 4.\nAnswer: -132470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*h - 3 = 57*h + w, -h + 9*w + 4 = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 217*v**4 + 82*v**2.\nAnswer: 5208*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p + 2. Let t(w) = 34*w + 4. Let x(l) = t(l) - 2*u(l). Let r(q) = -204*q**2. Give x(r(o)).\nAnswer: -4488*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000000111 (base 2) to base 12.\nAnswer: -71b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ini when three letters picked without replacement from nniiiin?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -18, -1, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0 (b) -2 (c) -42122 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 8*v**2 - 3*v - 89. What is the hundreds digit of x(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32682 or -424855\/13?\nAnswer: -424855\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1393 and -116.\nAnswer: -116.1393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n - 4*b + 8 = 0, -5*b + 7 = -2*n. Is -8923*(-3 - (4 + -2 - n)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -2 + -18 + -12 + 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5*o + o)*(4*o + 11*o - 2*o).\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38115 and 1323619?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -4\/3, -4\/229, 0.4 in increasing order.\nAnswer: -4\/3, -4\/229, 0, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1575*82.\nAnswer: 12.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2142\/(-28)*4\/(-3)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 - 196\/21) + (-98)\/(-6). Let r be 219\/q + 2\/5. Solve -14*d + r*d - 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 17 - 98 = 0. Calculate the greatest common divisor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 52880.69 hours?\nAnswer: 3172841.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*w + 14 - 1015 = 421 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1962 + 0.5005.\nAnswer: -1961.4995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/3 and -25\/94.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 8:31 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 979061.6 nanometers to centimeters.\nAnswer: 0.09790616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -46. Let g = y + 28.1. Let n = -0.1 - 0.9. Which is the closest to n? (a) -0.4 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(165) - sqrt(165)*-2 - sqrt(165)) + sqrt(165))*3)\/(sqrt(3) + -6*sqrt(9)\/sqrt(3)))\/((sqrt(22)*2*6)\/(sqrt(150)\/sqrt(3))).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17252.7 - -17252.4699792. Let v = 0.23 + f. Round v to 6 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, v: 2, c: 10}. What is prob of sequence ppv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*q - 37. Let f = q + 33. Calculate the remainder when f is divided by ((-20)\/(-10))\/(2\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 = 0, 0*b + 5*s = 2*b - 20. Let h be (-15)\/(-4 + 3 + b). Suppose 3*p = h - 6. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91703.24 years in centuries?\nAnswer: 917.0324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -370483?\nAnswer: -370481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 41 = l. Let y(u) = 2*u**2 + 1. Calculate the remainder when l is divided by y(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-2) + -3 + (-3)\/(-6). Sort f, 5, 1, 2 in ascending order.\nAnswer: f, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s - 8 + 8 - 3*s + 10*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 200473*y + 1 - 6 + y**2 + y**2.\nAnswer: 2*y**2 - 200473*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074 take away -38.128?\nAnswer: 38.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3*-40*(3*-2)\/(2832\/(-236))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 15928\/6 + (1330\/57 - 26).\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/1645 and 7\/188000.\nAnswer: 1316000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 50 = -7*c. Let f = c + -22. What is the third derivative of f*t**4 - 50*t**4 + 2*t**2 - 6*t**4 wrt t?\nAnswer: -672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*p*v**4 + 886*p*v**3 - p*v**2 + 311609*p*v - 2*v**3 wrt v?\nAnswer: -144*p*v + 5316*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 129*x + 139 wrt x.\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-26251114)\/20)\/(961580\/40). Let k = a + 2\/48079. Suppose 536\/5*h**3 + 49\/5*h**5 - 16\/5 - k*h**4 - 88*h**2 + 144\/5*h = 0. Calculate h.\nAnswer: 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 216 and 215 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 189 - 1325\/7. Let i be ((-1)\/(-5))\/(1034\/516 - 2). Let r = -52 + i. Is r > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252 (base 6) in base 8?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 + 472 = 2*x. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1, 5, -4, -124?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13669428.\nAnswer: 2, 3, 17, 37, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*x + 14*x - 6*x)*(-4*x**2 + 2*x**2 + 4*x**2) + 0*x**3 + x**3 - 2*x**3 + (-2 - 2*x**2 + 2)*(-2 + 2 + 7*x).\nAnswer: -57*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 238340 + -238340.00200109. Let s = y - -0.002. Round s to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2349276 a multiple of 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8 + (-6826)\/(-88). Let z = b - 78. Suppose -4*j - 16 = -3*m + 5*m, -3*m = 3*j + 12. Is z smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3136.88.\nAnswer: -12547.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -11)\/(19\/(159 + 12) - 1\/(-36))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430 + -1134?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -1\/12*w**6 + 1\/105*w**7 + 1\/10*w**5 + 0*w - 4\/3*w**3 + 5\/12*w**4 + 17*w**2 + 0. Find g such that k(g) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 + 306*n - 3356. What is the least common multiple of v(12) and 78?\nAnswer: 107796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 11 = 5*o, -13*r + 41 = -5*o - 22*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w**4 + 1146*w**3 - 27374*w**2 + 170646*w + 24940 = 0 for w.\nAnswer: -1\/7, 10, 29, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 61 + 15 + 84.\nAnswer: v**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47, 152, 333, 590, 923, 1332, 1817?\n\"Answer: 38*z**2 - 9*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0 - 0) + -2 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -21*q + 4. Suppose -60*b + 56*b = -8, -5*i = 4*b - 23. Calculate w(i).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*z = 8, 4*n + 2*z - 2 = 6. What is the smallest common multiple of 1 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -2\/5 (c) 3 (d) -20\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 26*h**2 + 167*h + 2. Determine u(11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, v: 1, m: 6, w: 2, h: 3}. What is prob of sequence mhwm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 6*l + 24. Suppose 0 = -0*s - 2*s + 3*f + 24, -f + 2 = s. Is 4 a factor of l\/4*(-32)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 6. Let q be o(5). Let t(i) = i**2 + i + 1. Let m be t(-2). Suppose 4*v = v + m. Is q at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 189*b + 190*b + 6822 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 20*v + 126. Does 6 divide k(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*n - 10. What is the greatest common factor of n and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 + 2*x + 1. Let t be u(2). Let v = -10 + t. What is the highest common factor of 63 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**4 - 38*c**3 - 61*c**2 - 5716*c + 1.\nAnswer: 24*c**2 - 228*c - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*c**3*y + 3*c**3 + 1546*c**2*y**3 + 5729*c**2 wrt y.\nAnswer: 16*c**3 + 4638*c**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -2*t**3\/21 + 5*t**2\/7 - 279. Let z(u) = 0. Calculate u.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**18\/s)\/s)**(-19\/6)*(s*s**(5\/3))\/s*s*s**(-22))**25 assuming s is positive.\nAnswer: s**(-10975\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 4*z**2 + 0*z**2)*(z + 1 - 1) - 2*z**2 + 2*z**2 + 7*z**3 - 10*z + 8*z**3 + 10*z - 3*z**3 + z**3 + 0*z**3.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 228*g**2 + 225*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfppfpfffpfffzcp. Give prob of sequence zf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20091 + -20089.1917. Let v = 1.892 - h. Round v to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 - 15*r**4 - 4*r**4 - 4*r**4 + r**4 + r**4 + (-r + 0*r + 2*r)*(3*r - 3*r - r**3) in the form g*r**4 + y*r**2 + j + d*r**3 + m*r and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g. Let n be v(1). Let z(x) = 7*x**2 + 3 + 8*x - 9*x - 5*x**2 - 7*x**2. Let a(l) = -4*l**2 - l + 3. Determine n*z(b) + 7*a(b).\nAnswer: 2*b**2 - b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 242 = -57*j - 382 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 92*d - 51*d - 38*d for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 55 - 221. Factor -t**2 - 13*t + s*t + 8*t - 477 - 547.\nAnswer: -(t - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, d: 1, w: 1, x: 3}. Give prob of picking 2 x and 2 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9160731 divided by 2.\nAnswer: 9160731\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 16*d**2 - 69*d - 15. Is 17 a factor of l(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 - 2*a + 1. Let k(l) = 12*l**2 - 5*l + 2. Let u(q) = -2*k(q) + 7*y(q). Is u(4) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 99246, 99223, 99236, 99285, 99370, 99491, 99648?\nAnswer: 99841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - d - 10151481 = w, 2*w - d = -4060591. Let s = w - -3738296. What is s rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -662, -1487, -2642, -4127, -5942, -8087?\nAnswer: -10562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/9 in 0.4, -0.06, 0.01, 142?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 9. What is the smallest value in -2\/3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 28. Calculate the remainder when 52 is divided by m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 at least -3.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, r: 7, u: 4}. Give prob of sequence llr.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 5*q + 115. Let g = q - 12. Suppose -3*i - 4*p + 7 = -22, 0 = -5*i - 4*p + 51. Calculate the greatest common factor of i and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4758472?\nAnswer: 2, 211, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -3 + -3)*-1)**2 + -2.\nAnswer: -84*sqrt(5) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1105 + 2293. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*h = 32, -2*o - h - 257 = -254 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 6.5. Let w = u + -1.78. Let p = -0.02 + w. Which is the smallest value? (a) 0 (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 16*s + 24511 - 4068, 2*s + 2561 = c. Which is greater: -1274 or s?\nAnswer: -1274","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29990020 != -0.46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 21 = -h, h + 9*z = 5*z + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751876, -751883, -751890, -751897?\nAnswer: -751904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1708, -3311, -4914, -6517?\n\"Answer: -1603*d - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -1395*d**3 + 10*d**2 + 16*d + 34. Is y(-3) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obpoonaoptboopnpp. What is prob of picking 1 b and 1 a?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**5\/5 + 86*o**3\/3 - 1243*o**2 - 2730. What is the second derivative of u(b) wrt b?\nAnswer: 12*b**2 + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 9 = 2*w + 3*h, -2*h = -5*w - 20. Let m be (46\/(-4) + 5)*w. Solve 0 = -m*f + 11*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-3\/4)*w*(w\/(w\/(w*(((w**(1\/7)\/w)\/w)\/w)\/w*w)))\/w)\/(w\/w**(-1\/5)*w\/w**(-2)))**16)**(-15) assuming w is positive.\nAnswer: w**(11436\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35.5 + -41.4. What is the nearest to b in -4, -1, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 1100101?\nAnswer: -1100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 22 = -85. Let z be 1\/(66\/d - 3). Let v = 6 - z. Is 1\/3 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78769744.\nAnswer: 2, 19, 37, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112011 (base 3) in base 11?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, q: 2, u: 1, h: 3, i: 1}. Give prob of sequence qaia.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 1744. What are the prime factors of j?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*j**3 - 2*j**3 - j + 2*j**3 as c*j**2 + g + a*j + f*j**3 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120 (base 3) to base 4.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 599*y**3 + 17*y**2 - 2*y + 2. Let s be w(1). Let b = 634 - s. What is the highest common divisor of b and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-3*(-20)\/(-900).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 588271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**2 - 3*l**2 + 1 + l**2 in the form b*l**2 + v*l + j and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 12. Let h be m(9). Suppose -2*n + n = -h. Solve -n*d + 6 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 + 1541?\nAnswer: 2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41 + 1589?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 14 (b) -3\/7 (c) 5 (d) 0.5 (e) 0.41197\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341a (base 13) to base 3.\nAnswer: -101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6769 - 3891. List the prime factors of o.\nAnswer: 2, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Let l(m) = 931*m + 0*m**3 - 50 - 10*m**3 - 881*m. Determine -2*l(x) + 100*o(x).\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6253453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 minus 0.06358?\nAnswer: 0.09642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from irrzzrzirzzzz?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 41957 = 24060. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4230 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.00883 in -1, 2\/17, -9, -22, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 10*f**3 - 7*f**3 - 11*f**3 + 33*f**3.\nAnswer: 5*f**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3.67, -0.38, 2\/11, 6\/11, -1\/10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.001781 days in minutes?\nAnswer: 11522.56464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 + 6792704*q + 13585404 = 0. Calculate q.\nAnswer: -6792702, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3*-1*126\/84. Let n = 21\/11 - 241\/132. Which is the nearest to l? (a) 4 (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0707210074 rounded to four decimal places?\nAnswer: -0.0707","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 4 + 6)*(264*r**2 + 225*r**2 + 229*r**2)*(-r + r - 2*r) to b*r**2 + t*r + v + m*r**3 and give m.\nAnswer: 2872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-444)\/259 - 528\/(-210)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + -15 + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12247*v**2 - 3586?\nAnswer: 24494*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -76604 divided by 4?\nAnswer: -19151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 25*l + 2210. Determine r(-99).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -10876 in decreasing order.\nAnswer: 3, -2, -10876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3468316 times 0.032\nAnswer: 110986.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (57 + -54)*(-3362)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 7*x - 2*x)*(-8*x + 10*x + 7*x)*(-7*x - 8*x + 25*x).\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cct when three letters picked without replacement from tttcttttc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (24\/30)\/(28\/(-50)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 507*10\/(-570).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 39*m - 1312. Calculate the remainder when 11053 is divided by c(23).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + b + 4*b. Suppose -u - 80 = m, 4*m = u + 76 + 9. Let t = 81 + u. Solve b = -4*a + d + 15, -2*a - 3*d + t = 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1095 - 64*f - 1113 - 21*f**3 + 63*f + 2*f**2 in the form i + u*f**3 + z*f + h*f**2 and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/120 + 2*a**5\/15 + a**4\/24 - a**3\/6 + 2*a**2. Is n(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.60498 nanometers to centimeters.\nAnswer: 0.000005060498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 6. Let z(x) be the second derivative of -x**4\/12 + 2*x**2 + x. Let f be z(3). List the prime factors of c(f).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7.006. Let v = 0.11 - 0.016. Let m = j + v. What is the second biggest value in m, 1, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 1792 - 480 = 0. Suppose 3*y - z = -4*b, -4*b + b - 508 = -5*y. Let c be -3 + (y\/14 - (-6)\/(-14)). Solve 5*m = c*h - 4, -5*h - m - 28 = m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40 (b) -0.4 (c) 92\/121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2640 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.41 - 30.41. Which is the closest to 2\/7? (a) -1\/6 (b) 12 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-10)*b)\/(b**(-5)*b) assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(1 - 5 + 2)*((5*a - 157 + 157)*(4 - 4 - 2) + 3 - 3 + a + (2 + a - 2)*(-1 - 1 + 4)) to the form h + o*a and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11929, -23816, -35703, -47590, -59477?\n\"Answer: -11887*o - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -4.6, -2657 in decreasing order.\nAnswer: -0.3, -4.6, -2657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -675310 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwttavvvvvvvttvv. What is prob of sequence ta?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12b2b62 - -3?\nAnswer: 12b2b65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1071229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**2. Let k(d) = 3*d + 106. Let l be k(-31). Let a(p) = l*p**2 - 17*p**2 + 17*p**2. Give 4*a(u) + 14*r(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -9 - 3*j + 5*j - 18 + 0. Let k be o(13). Let c be (k - 3\/(-2))*4. Solve -4*s = 2*w - 2, -12 - 4 = -c*s + 2*w for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q. Let c = 39 + -36. Let v(s) be the first derivative of -s**c + 84 - 44 - 38. Calculate m(v(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30424 + 18654. Find the common denominator of -76\/15 and q\/600 + (-2)\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3870 and 17\/18576?\nAnswer: 92880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.65 + 0.05. Let t = d - -0.8. Which is the closest to t? (a) 6\/7 (b) -0.5 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 6) to base 5.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:23 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -5, 0, -1, 5, -3 in decreasing order.\nAnswer: 5, 0, -1, -3, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 588375675 to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-39)*6\/5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f - 6. Let d be -1 + -2*2\/(-4). Let i be 1\/(d - 1\/7). What is the remainder when x(i) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + m + 172, -m + 265 = -3*h - 6*m. Let b be (-1)\/4 - h\/20. Suppose 33 = x + b. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 27*k + 52. Let v be r(-2). Let f = -8 - -15. Sort f, -3, v in decreasing order.\nAnswer: f, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 4*w**2 + 14*w + 278. Determine u(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20342576?\nAnswer: 2, 199, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/2 (b) -3 (c) 2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 5*z**2 + 4*z - 14. Determine v(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 28 = n, -n + 488 = 4*v + 439 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 17*x**2 + 0*x**3 - 3*x**3 - 9*x - 5*x**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p + 5. Let q be x(10). Suppose 2*h - q - 137 = 0. Does 29 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/5)*i*i*i\/i**(-2\/3))\/(i**(4\/9)*i**(-4)) assuming i is positive.\nAnswer: i**(352\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 2)\/(-1 + 0). Let y = -23 - -27. Put y, -1, o in ascending order.\nAnswer: o, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*n**3 - 16*n**2 + 16*n**2)*(-2 + 6 - 1) in the form h*n**3 + s*n**2 + i + j*n and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l**3 - 10*l**2 - 7*l + 21. Let i(p) = -15*p**3 + 20*p**2 + 15*p - 44. Let m(h) = -6*i(h) - 13*x(h). Is m(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*o - 121*o + 3*l + 6 = 0, 10 = -3*o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1198.233488 rounded to the nearest integer?\nAnswer: -1198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13195?\nAnswer: 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 30. Let i = -22.5 + n. What is the third biggest value in 3\/5, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158569 is divided by 2446?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84 or -173?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*t - 13101 = 126*t for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-17)*((t\/((t**(5\/6)*t)\/t))\/t)\/t*t**(-25\/2)*t*t**30*t assuming t is positive.\nAnswer: t**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 + 96a52?\nAnswer: 96a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*5*(-32)\/120?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1687595900?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*p + 176*p = -79*p - 3580 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3 + 0*b**2 + 2 - 2*b**2 - b**3 + b. Let f be n(-2). Let u be (-660)\/18*f\/2. Calculate the greatest common divisor of 5 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -260*w - 6234. Determine p(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3009 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23030011310 + 12210?\nAnswer: -23023333100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327*a + 331*a = 20, -6*f - 135 = -3*a for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 37758*a + 8 - 37907*a + 14*a**2 - 15*a**2 + (-4*a + 3*a + 3*a)*(-2*a + 7*a - 4*a) in the form x*a**2 + n*a + s and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13404b + 1?\nAnswer: 134050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4934573832 + -4934572119.3950005. Let o = -1659.60502 + d. Let f = -53 + o. Round f to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 12*y**2 + y + 6. Let k be x(-2). Suppose 3*j - 2*g - 62 = -j, 4*j = 4*g + k. What is the remainder when 65 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, v: 2, x: 4}. Give prob of sequence vmxv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54728561 is divided by 681.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17418, 17417, 17416, 17415, 17414?\nAnswer: 17413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6919\/21 or -329?\nAnswer: -6919\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18011?\nAnswer: 7, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.077309497 to two decimal places.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29645323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 19645.763 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*d - j - 16, -5*j - 7 = d. Let v = -11 - -14. Suppose -2*h - 6 = 2*k, 4*h = v*h - 5. Is d greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6)*x**(-24)\/x assuming x is positive.\nAnswer: x**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 448*m - 449*m + 1.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.44 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*s + 4\/5*s**3 + 32\/5*s**2.\nAnswer: 4*s**2*(s + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-1)\/16). Let v = -6 + j. Solve 3*x - 3*t = -3, -v = 5*t + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 432276795?\nAnswer: 3, 5, 139, 69109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3061*m**2 - 1 - 6129*m**2 + 3077*m**2 - 3.\nAnswer: 9*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - t + 5 = 0, -15 = 2*b - 4*t + t. Factor -83 - 3*q - 3*q**3 - 6*q**2 + 83 + b*q**2.\nAnswer: -3*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6192, 10248, 14288, 18306, 22296, 26252, 30168, 34038?\nAnswer: 37856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r - 102*r = -816. Calculate the remainder when 1216 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*k = -100. Let d = k + 30. Suppose 0 = -3*y - 5*n + 256, -y - 195*n + 69 = -191*n. Calculate the remainder when y is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 11*l**2 - 11*l + 12. What is the remainder when p(5) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1080*y + 190 = -1045*y + 4*m, -5*m - 43 = -3*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1785 = 8*z - 15*z. Suppose 4*k = k + z. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*a - 77*a - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 (base 5) in base 8?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -666 by -15.\nAnswer: 222\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-62))\/(-1)*(-14808)\/(-11106)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 8:00 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1338*s - 30. Let m(z) = -1341*z - 26. Determine -9*m(x) + 8*v(x).\nAnswer: 1365*x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((96\/36)\/4)\/(26\/6)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -5*a - 31, -5*i - 4*a - a = 35 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2762445832 to the power of 1\/3, to the nearest integer?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u. Suppose -a + 2 + 0 = u. Let i be a\/(-2 + 5\/2). Solve 3*f - 5*p + 12 = 0, -12 = 3*f - i*p - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1692306 is divided by 1200?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i + 1. Let d(v) = -2*v**2. Let o be d(-1). Let n(r) = r - 1. Let t(w) = o*n(w) - b(w). Differentiate t(p) with respect to p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/81, -5 in increasing order.\nAnswer: -5, -2\/81, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 4.6, 4, 171, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2077333 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r - 2. Let i be f(8). Let o = 59 + i. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -22, -46, -102, -202, -358?\n\"Answer: -2*r**3 + 2*r**2 + 4*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((23\/115)\/((-513)\/(-225)))\/(5\/6)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2588613264 to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one sixteenth of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 660?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20445384 + 20388992.\nAnswer: -56392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 1.96. Let j = -0.1 + u. What is the closest to 0.1 in 0.4, 1\/2, j?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55026 divided by 18342\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*t - 3. Suppose 2*z = z + t. Let k = -3.06971 - -0.06971. What is the smallest value in 3, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(704) + sqrt(704) + sqrt(704)*1) + -3 + -3*(sqrt(17) + 2))**2.\nAnswer: 213*sqrt(17)\/4 + 132353\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/7 and 18\/2105.\nAnswer: 14735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p**2 - 494*p - 11985. Calculate c(-43).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165\/275*(-15 - -8 - -8)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530488?\nAnswer: 2, 7, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(((1*sqrt(75) + 1)*3)**2 + 1 + -3 + -5 + sqrt(3) + sqrt(27)).\nAnswer: -675 - 94*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/528 and -117\/1100.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52826 is divided by 1920?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*l*y*z + 1701*l*z**2 + 39181*l*z - 4897380*y*z**2 wrt y.\nAnswer: 18*l*z - 4897380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - 5.4. Let v = -2.9 + 3. Sort 1, p, v.\nAnswer: p, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 5*n**3\/6 - 2*n**2 + 6*n. Let m(r) = 6*r - 5. Let w(p) = 7*a(p) - 6*m(p). What is the derivative of w(z) wrt z?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5645 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14515 + -14474. Solve 878 = 93*v + f for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 356 - 63. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/943580 and -83\/170500?\nAnswer: 731274500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 6*o**2 - 23*o + 29. Give z(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**3 + 19*k - 1610 wrt k.\nAnswer: -9*k**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 18*t**2 + 15*t + 60. Calculate h(18).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1300914 is divided by 39420?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3181\/14714 + 2\/1051. Let a(m) = 5*m**2 - 2*m - 2. Let s be a(2). Let o(j) = -j**2 + 13*j + 11. Let b be o(s). Sort 4, l, b in decreasing order.\nAnswer: 4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h + 1503. Determine p(-153).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 431a (base 13) to base 15\nAnswer: 2b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s - 2. Suppose 8*z = 4*z + 24. What is the remainder when o(z) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(16) - sqrt(16)*-1)*1)\/sqrt(8))**2 + ((sqrt(160)*1)\/sqrt(8))\/sqrt(10).\nAnswer: sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 6*v**4 - 2*v**4 + (-1 - v**3 + 1)*(1 - 1 - 2*v) + (3*v - v + 0*v)*(3*v**3 + 6*v**3 + 5*v**3).\nAnswer: 35*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8218 or 49303\/6?\nAnswer: 49303\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 537c6 - 3?\nAnswer: 537c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 436, 8, -5 in descending order.\nAnswer: 436, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**3 + c**4 + 0*c**4 - 1922*c - 2*c**3 - 3*c**2 + 72 + 1922*c in the form s*c + r*c**4 + i*c**3 + x + l*c**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 1. Let r(z) be the third derivative of z**4\/8 - z**3\/3 - 2*z**2 + 53. Let b = -80 - -20. Let t be 3*(-3 + b\/(-9)). Give t*p(d) - 4*r(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 2*v - 8, 10*u - 14*u + 8*v = 36 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*v**2 + 1562*v - 21845.\nAnswer: -4*v + 1562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = z - 3*k, 5*z - 4*k = -2*k + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59972 + 894 = -4238*s - 112892 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0579 - 0.1579. What is the nearest to 20 in 3, -1, 0.5, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133187?\nAnswer: 133187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 201106067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4800 divided by -8.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1004, -3519, -7710, -13577, -21120, -30339, -41234?\n\"Answer: -838*q**2 - q - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -1001*o - 104. Let y(k) = -59*k - 6. Let i(l) = 3*v(l) - 52*y(l). Let b(n) = 2 + 4*n - 3*n - 2. Determine b(i(w)).\nAnswer: 65*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3711 + -3711.000000339. What is v rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a8 + -21?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9987*f*k**3 - 4*f - 33*k**3 - 2*k**2 + 183 wrt f?\nAnswer: -9987*k**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 33804192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {i: 2, a: 1, p: 5, k: 1, z: 7}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188 - 128) + (-67 - -19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) -4 (c) -11 (d) 5 (e) 4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3, 0 = 4*l - 2*h - h - 17. Factor -4*x**5 + 3*x**5 - 4*x**3 + l*x**5 + 0*x**5.\nAnswer: 4*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 16*j = -3*g + 10289, 0 = 3*g - 4*j - 10265. Calculate the highest common divisor of g and 894.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*j**5 + 3692*j**4 - 144922*j**3 + 1162180*j**2 + 3365448*j + 863280 = 0. Calculate j.\nAnswer: -2, -2\/7, 15, 33, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.08631*-194\nAnswer: 210.74414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w*((w*w**(-12)*w)\/w)\/w)\/(w**(3\/4)\/w*w*(w\/(w**8\/w))\/w) assuming w is positive.\nAnswer: w**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**2 - 5*n + 10. Let h(l) = 3*l**2 - 2*l + 5. Let x(s) = -2*d(s) + 5*h(s). What is the first derivative of x(y) wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(11469*d - 21987*d + 12876*d).\nAnswer: -4716*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:06 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 5*s**2 - 3*s. Let w be u(-5). Let a = w + -1. What is the remainder when 27 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13567?\nAnswer: 13567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 3*g**2 - g - 1. Let r be o(2). Let a be r\/2*(-13)\/(26\/8). Let p be (5 - -8) + 6\/a. Solve 5*z + p = 5*j, -5*z + 22 = -6*z + 5*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/48 and -25\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 + -29.93. Let i = 25 + s. What is the biggest value in -4, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z - 79*z**3 + 53*z**2 + 80*z**3 - 11*z + (2*z**2 - z**2 - 3*z**2)*(z + 1 - 1) + z**3 + 0*z**3 - 3*z**3 to x + k*z + o*z**2 + w*z**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**3\/11 - 178*u**2\/11 + 40*u\/11.\nAnswer: -u*(u + 20)*(9*u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82 by 2033.\nAnswer: -82\/2033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -8. Let z be (34\/4)\/(3\/6). Solve -z = 4*o + q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27*30\/(-675) - 4340\/(-50)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8642\/33 + 262. Find the common denominator of -53\/12 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1322333243 (base 5) to base 3\nAnswer: 20020212221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*sqrt(121) + sqrt(121)))\/(sqrt(88)\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48886 - 828796083?\nAnswer: -828747197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:18 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -86*o + 151. Let z(g) = 233*g - 454. Give 11*q(u) + 4*z(u).\nAnswer: -14*u - 155","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 1\/9, 3\/5 in decreasing order.\nAnswer: 5\/2, 3\/5, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0 = -21. Suppose y*v - 3*v = 92. Is 23 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 127*y. Let i(g) = 5*g**2 - 32*g + 34. Determine o(i(u)).\nAnswer: 635*u**2 - 4064*u + 4318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-5)\/(-135))\/(1\/(-3)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/340 and 97\/10116700.\nAnswer: 10116700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2. Let m(w) be the second derivative of w**4\/12 - 10*w. Give v(m(z)).\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y**2 + y + 1. Let m be a(2). Suppose -3*p + 37 = m. Suppose p*v - 4*f + 2*f - 1306 = 0, -3*f + 637 = v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -853*z. Let n(c) = 54*c + 38*c - 93*c. What is r(n(m))?\nAnswer: 853*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 9*v**2 + 12. Suppose -k + 0 + 2 = 0. Suppose 0 = -4*b - 4, -38 = 4*g - k*b - 4. Let r be j(g). Is r smaller than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -6 + 27 + -28\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*u - 4*w, -7*u = -4*u - w - 13. Suppose 638 = s - u*o, 0 = -5*s + 2*o - 4*o + 3146. Calculate the greatest common factor of 63 and s.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 k when two letters picked without replacement from vksvsvkvskv.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16106 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-125)\/(-6*11\/66). Suppose -6 = 2*z + 2, 216 = 4*q - 4*z. Calculate the greatest common divisor of h and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/11*(154\/(-22))\/14\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9724 - -9725. Let m be 3 + 1\/(-2)*-2. Suppose -4*q = 2*j - 12, -4*q + 0*q + m = 0. Solve -5*u + t = -j*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 53. Calculate the remainder when 117 is divided by u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -29*v + 438. Let b be i(15). Solve u + 12 = -b*c, -19 = 3*c + 2*c + 2*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-35)\/(-875))\/(1\/50)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 15 + 21. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.755 - 0.245. Put x, 3, 1\/2, 31 in decreasing order.\nAnswer: 31, 3, 1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 748?\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284660, -284662, -284664, -284666, -284668, -284670?\nAnswer: -284672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 474293 and 33433?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46629654 a multiple of 495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a + 3*a + a)*(-274*a**2 + 69*a**2 - 21*a**2) to o*a + s*a**2 + t*a**3 + l and give t.\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102152.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 5 (b) 1 (c) 158\/5 (d) -0.5 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 2*b - 60 = 0. What is the least common multiple of b and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -143102 by 3954.\nAnswer: -71551\/1977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35221?\nAnswer: 35221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -14, 5 in descending order.\nAnswer: 5, 1, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 8:02 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -407\/6 - -68. Let b(d) be the second derivative of 0*d**2 + i*d**4 + 0 + 0*d**3 - 2*d. Let r(s) = -3*s. Give r(b(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 4*t**2 - t - 8. Let o be s(5). What is the highest common divisor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1090\/(-109)*55\/41525\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4010690, -4010775, -4010850, -4010909, -4010946, -4010955, -4010930, -4010865?\nAnswer: -4010754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = s - 23, l - 7400*s + 7403*s = -9 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/5)\/(234\/(-60) - -4). Suppose 2*v - l*v = -80. Let j(n) = 17*n - 2*n**2 + v*n + 6 + n**2 - 36*n. Give j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 0.3198.\nAnswer: -4.6802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2997390)\/93)\/(1\/(-210)). Round l to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 578696?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*t + 2*t. Let n be (-5)\/2*8\/t. Suppose f = n*f - 460000. What is f rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.59420992 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13\/11 + 80\/77. Sort c, -5, -3 in decreasing order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1562, 232\/9, 51, -0.3 in increasing order.\nAnswer: -1562, -0.3, 232\/9, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0 (c) 3\/10 (d) 2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*k**3 - 7*k**2*x + 97*x wrt k.\nAnswer: 33*k**2 - 14*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74469, -74467, -74465, -74463, -74461?\nAnswer: -74459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/(-54*105\/5670)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 - -196 - (-3)\/(9\/3) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7424120 divided by -10340.\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85734 and 396.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 1\/3*s**3 - 14 + 31\/3*s.\nAnswer: -(s - 14)*(s - 1)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {z: 7, a: 2, i: 2, g: 2, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*c**2 + 6 - 2 + c**2 - c**2 with respect to c.\nAnswer: -32*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/8 - 24\/(-6))\/(7\/(-364))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16684.\nAnswer: 2, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 135660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/9 - 2\/3. Which is the third smallest value? (a) 2 (b) 1\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 1. Let z(h) = -2*h - 1. Let s = -4659 + 4661. Suppose -t - 4*t = 25. Give s*z(r) + t*v(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-23267)\/(-3512))\/((-1)\/8)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 369 + 385 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -44*m - 560. Is u(-37) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 67.69444 centimeters?\nAnswer: 676944.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(2\/7)*d**1\/d)**29 assuming d is positive.\nAnswer: d**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454802, -909558, -1364314, -1819070?\nAnswer: -2273826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6*d = -204. Does 25 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83698*0.843\nAnswer: 70557.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 bigger than 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 365 minus -37729624038.48?\nAnswer: 37729624403.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 14*h = 17*h - 45, 3*r + 48 = -2*h. Which is smaller: -21 or r?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -6\/11 (c) -78 (d) 1\/2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 54. Let f be h(-24). Solve 0 = 5*s + 3*k + 2*k, -5*s = 3*k + f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lggljjglgggjg. Give prob of picking 2 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11 = -2*j, 4*v + 0*v + 2*j = 38. Let f = -13 + v. Let g = 7 + f. Solve 0 = -g*m - 2 + 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11962411\/150066 + -1\/21438. Let c = -80 + i. Put -5\/17, 4, c in descending order.\nAnswer: 4, c, -5\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {w: 7, r: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 418701 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + (sqrt(6300) - (sqrt(6300) + sqrt(6300) + 1 + sqrt(6300) + sqrt(6300)))*5 + 3)**2.\nAnswer: 3600*sqrt(7) + 1417516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjjt when four letters picked without replacement from ujjoturusutsujuts?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1931*o**2 + 379*o + 5141. Is v(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = -3. Let k(a) = a - 2. Let c be k(z). Let s(o) = o + 0 + o**3 + 0*o**3 - 4. Determine s(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11309 is divided by 403?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**3 + 78*t**2 + 2*t + 81. What is the remainder when l(-13) is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/16? (a) -15\/2308 (b) 5 (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7122829844 to 4 dps.\nAnswer: 0.7123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from lfqflqfff?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.236 + 17.236. Which is the biggest value? (a) 0.2 (b) -4 (c) 0 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -896 divided by -224?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 4*y**2 + 4*y - 8. Calculate p(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3451*z + 3. Let d(n) = 4604*n - 4. Calculate 10*d(f) + 13*v(f).\nAnswer: 1177*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-19)\/b*b)\/b**36)**27 assuming b is positive.\nAnswer: b**(-1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 6*l - 16 = 7*l, -2*k = 4*l - 8. Let w = -3 - -3. Sort k, 5, w in descending order.\nAnswer: 5, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 582240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(3*o**2 - 5*o**2 + 3*o**2) + 142*o**2 - 103*o**2 + 560*o**2.\nAnswer: 598*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39092 and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2349624244 to three dps.\nAnswer: 0.235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 38*w**2 - 144*w + 2351. What is d(40)?\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 553975 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -3*j**2\/2 + 25. Let k(o) = -8*o. What is k(r(v))?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 22*v**2 + 176*v - 2819. Determine g(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0295 + 794.0295. Let k = 1180 - c. Let w = 386.00181 - k. What is w rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 12*j - 7. Let s be i(-11). Suppose s = -l + 2*l. Let h = 60.2 + -60. Which is the third biggest value? (a) l (b) h (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooooooo. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1995668994 and 426?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2 - 3*s + 6. Suppose 5*o - 11 = 2*l - 1, -o = -4*l + 16. Is p(o) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14*1*(-338)\/(-338)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eeereereeeeerr?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 8*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/18)\/((-2)\/(-3)). Let o(n) = n**2 + 4*n - 4. Let a be o(-6). Suppose 10*m - a*m - 22 = 2*i, -21 = -m + 3*i. Sort j, -4, m in descending order.\nAnswer: m, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/(-248)*(2\/(-25))\/((-18)\/60)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 8*v**2 + 325*v + 2322. Give w(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*h - h**3 - 65*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*m - 82*m + 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a century in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/(5\/(-60)). Let o(m) = -7*m**3 + m - 6 + a*m**3 + 1. What is o(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -118904.0538 to the nearest 1000.\nAnswer: -119000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 25976312.\nAnswer: -3\/12988156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226\/3 - 74. Let g = -0.409 - 0.091. What is the third biggest value in 3, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220718 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/9 - 2310\/(-540))*2. Let d(f) = 3*f**2 - 3*f + 12 - 2*f**2 - 7*f. Let i be d(k). What is the nearest to i in 1, -0.5, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2482, 2483, 2484, 2485?\nAnswer: 2486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 109*g**2 + 30*g + 15393. Give x(-110).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a week?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 0*i**2 + 0*i - 15 - 1\/13*i**4 + 2\/39*i**3 + 2\/65*i**5. What is l in a(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 - -44255?\nAnswer: 44246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - r + 3*r - 761 + 761 + 51*r - 1 + 1 + 2*r + (-1 - 2 + 4)*(2*r + 0*r + 0*r) + 2*r - 5*r + r + 0*r + 2*r - r as q + n*r and give n.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1485 - 1450. Let g = 376 - -7. What is the remainder when g is divided by b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123481 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 363*n - 362*n + 0 + 0. Let d(t) = t**2 - 2*t - 173. Let g be d(14). Let u(l) = -2*l + 1. Calculate g*f(q) - 2*u(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2 - 7 + 8. Let z(r) = -22 - 32*r**3 - 14*r**4 - 4*r + 0*r - 22*r**2 + r - r. Let c(y) = -44*h(y) + 2*z(y). Solve c(t) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 68 = 4*u, 2*u = 3*u + 4*t. Let v be (-4)\/u + 19\/28. Suppose 3 + 0 = -3*x. Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**4 - 19*v**3 - 175*v**2 - 18*v + 505.\nAnswer: 12*v**2 - 114*v - 350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 149 = -315. Let d = g + 136. Is (75\/2)\/(5\/d*2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -258692 (b) 19 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -62 - -74 - (-26 + -1).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -5)*(-9)\/18. Suppose 4*s - 15 + 19 = 0, o = -5*s + 1. Solve x*v + c + 9 = 0, 0*v - 2*v + 2*c - o = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 40 + n**2 + 2*n**2 + 40*n.\nAnswer: 3*n**2 + 40*n - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:59 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -182 + 187. Suppose 3*o = -z*f + 4, -3*o - f - f = 11. Let n(k) = -5*k - 6. Determine n(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -6. Let h = 1 - -2. Sort h, 0, c in increasing order.\nAnswer: 0, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 49 and 52824222.8531.\nAnswer: 52824271.8531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/8 and 1\/138?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 768117*w + 53763297. What is t(70)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353761077 to the power of 1\/3, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -430*y**5 - 477*y**2 + 592*y**6 + 812*y**6 - 2*y + 690*y**6 + 430*y**5 wrt y.\nAnswer: 251280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g - 16. Let v be 33\/(4356\/(-24)) - 8\/(-165). What is the closest to -2 in 1, g, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(15\/891) + -1. Suppose 8*x - 4*x = t. Suppose 3*y - x = 52. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let p be k(2). Let x(a) = -6*a - 1. Is x(p) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -456546*b**3 + 110*b**2 + 1477 wrt b?\nAnswer: -2739276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 at most as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {n: 4, r: 7}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uccxxpxxpppxqxu. What is prob of picking 1 p and 2 u?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 570798.\nAnswer: 570798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*k = 2*x + 68, x - 1 = -5*k. Let d(t) = -t**2 + 8. Let r be d(4). Let f be (-57)\/x + 3\/r. Solve f*q - 1 = -9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 13) to base 15.\nAnswer: -b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15\/43, -2\/3, -0.3, 2\/11, 3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60251684 a multiple of 4405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -579b2 (base 13) to base 7.\nAnswer: -1234015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.43031 rounded to one decimal place?\nAnswer: 495.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v - 45. Calculate o(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 922391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 1 = -17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 23 = -193. Let k be -3 + 9\/(-15) + (-11628)\/(-30). What is the highest common factor of g and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (11 + (-18 - (-15 + (-4 - -9))) - 25)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6701*d**3 - 3721*d**2 + d - 2?\nAnswer: 40206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 3:29 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -374 and -395 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62979\/2? (a) 1 (b) -2\/45 (c) -1 (d) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -123 - -172. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 - 20*j**2 - 16*j - 191. Is x(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-18))\/((-1)\/(-11 - -9)). Which is the closest to -1? (a) -2 (b) -7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x**2 - 17\/12*x**4 - 1\/3*x**3 + 4 - 14*x. Let y(a) be the first derivative of u(a). Factor y(w).\nAnswer: -w*(17*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 10*i + 1824. Does 152 divide a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 153\/4 in 9\/2, 0.2, 5, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 568673451 to the power of 1\/2, to the nearest integer?\nAnswer: 23847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5646.379*-0.5\nAnswer: -2823.1895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 419 - 418.6. Let z be 19\/(-7) - 2\/7. What is the third biggest value in z, l, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m. Suppose 2*h + 6 = 4*j, 2*h = -2*h - 5*j + 40. Let c(a) = 5*a - 7*a + h*a. Give c(p(b)).\nAnswer: 21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0531503959 and 0.01.\nAnswer: 0.0631503959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2*1\/(-22)*-3)\/((-22725)\/3030)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65840633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from vpyypyyp.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2899 - -2962. Let m = -50.12 - 10.96. Let g = v + m. Round g to one dp.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2 = 0, 5*o + w = -6 - 2. Let n be (6\/4)\/(o\/(-8)*-1). Let i(s) be the first derivative of -s**4\/4 - 2*s**3 + s**2\/2 + 2*s + 2. What is i(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 108*r = -105*r - 24, h + 3*r = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-18))\/((-4)\/(-6)). Let l be v\/(-4) - 19\/(-4). Suppose 15 + l = t. Solve 4*r = -f + 12, -3*f - f - t = -r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k + 95*k + 44*k.\nAnswer: 128*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i. Let n(l) = -5*l + 203 - 203. Give m(n(a)).\nAnswer: 45*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 284659 to the power of 1\/2, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -13*u**2 + 3*u + 12*u**2 - 3*u. Suppose 6*z = 17 - 5. Let w(a) = -5*a**z - 19 + 19. Give d(w(b)).\nAnswer: -25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181*o + 84*o + 87*o to the form l + d*o and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 9*m**2 + 9*m + 3. Let x be (-22)\/(-6) - (-6)\/(-9). Suppose -6*c + c + 35 = 5*g, 25 = x*c - g. What is the tens digit of o(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2224)\/168)\/((-16)\/(-3)). Let c = s - -21\/8. Is c bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111010011101001101010 (base 2) in base 8?\nAnswer: -17235152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 4:48 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0*q**3 - 5\/2*q**2 + 0*q**4 + 15*q + 0 + 1\/4*q**5. Let i(g) = 2*g**3 - 2. Determine 9*i(z) - 4*s(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.034 - -5.466. Let w = -7.2 + b. Put 0.2, 3, w in ascending order.\nAnswer: w, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 137 + -44. Let s = -92.7 + g. Let z = -14\/17 + 64\/119. Which is the closest to s? (a) -0.1 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) + (-62)\/8. Let m(d) = -4*d**3 - 3*d**2 + 3*d + 3. Let a(r) = -8 + 12*r**3 - 13*r + 4*r + r + 8*r**2. Determine o*m(f) - 3*a(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00365567 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*p = -5, -3*p + p = 3*g - 20. Find the first derivative of -154 + 36*d - 14*d**3 + 6 - 7 + g*d**3 wrt d.\nAnswer: -12*d**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/56 and -103\/95504.\nAnswer: 668528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176237?\nAnswer: 176237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2250 and 16993750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22? (a) 3 (b) 7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 16 = 4*i - 3 - 81, -6*s - 78*i = 114 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*b = -30, -b + 15 = 2*d + 2. Suppose p - 5*k + 3 = 0, -2*k + 3 = k. Calculate the remainder when d is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 187 - 22 = 0. List the prime factors of p.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5052539?\nAnswer: 131, 38569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukuuzuzz. What is prob of picking 3 z?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyey when four letters picked without replacement from {y: 5, e: 3, l: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 426216 a multiple of 1239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 11. Suppose -3*k + s = 2*q, 0 = -4*k + 4*q - 6*q + 32. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -336*2\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 49 = -0*g. Suppose -204 = -g*z - 50. What is the remainder when 41 is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*s + 4*u, -u - 3*u = -s. Suppose s*j - 115 = -5*i - 0*j, 0 = 2*i - j - 33. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m**2 + m + 4. Let d be h(-5). Let y(a) = 2*a - 8. Let o be y(9). Suppose -4*i + d = -o. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/840 - v**4\/168 + 2491*v**2. Solve z(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 20 = -4*c + 4*c + 5*c + 9, 0 = -5*w + 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 249, -4, 11, -6, -1, -16 in decreasing order.\nAnswer: 249, 11, -1, -4, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 3366?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 7. Let a(j) = j**3 - j**2 - 5*j + 3. Let g be a(3). Let p be d(g). Is p less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261843547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26609 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10692 + 10699.011. Round c to 1 decimal place.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7035 + 9958. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 12*s + 5. Let k(m) = -12*m - 4. Let h(y) = 4*k(y) + 3*o(y). What is the derivative of h(d) wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4106*o**3\/7 - 24638*o**2\/7 + 36966*o\/7 - 18\/7 = 0.\nAnswer: 1\/2053, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 5*u = -7*g - 2038, -2*g + 1034 = 5*u. Calculate the highest common factor of 64 and g.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 126565*u**2 + 126560*u.\nAnswer: 5*u*(u - 25312)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10231*j = 9*c + 10227*j - 22, -1 = 2*c + 5*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1243 - -6193. Suppose y = -0*t + 5*t. Round t to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhdr when four letters picked without replacement from {e: 1, x: 1, h: 2, r: 2, d: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:23 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 19573 + 4403 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:53 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 129.4\nAnswer: 12.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 - 60*g**3 + 150*g**2 - 140*g + 45.\nAnswer: 5*(g - 9)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/7 - 216\/182. Suppose 2*w + 0*w - 1 = d, -w + d + 1 = 0. Which is greater: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.85 + -1.15. Let n = -0.2 + 5.2. Which is the nearest to -0.5? (a) n (b) y (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (3 + -5))*2. Let o be (-2)\/((-16)\/(-12) - h). Solve -8 = -7*z + o*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 23 = -2*z, 5*p - z - 34 = -0*z. Let y = -33 + 54. What is the highest common factor of y and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69*r**2 - 61 with respect to r.\nAnswer: -138*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 17*d**2 - 109*d - 821. Let s be z(-8). Is s greater than 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.35 times 21247?\nAnswer: -177412.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 57. Let h be (3 - 1)*(-1)\/(-5). Which is the third smallest value? (a) -2\/9 (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 4:01 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 18*k - 5. Let a(m) = -m**2 - 6*m - 2. Determine -8*a(g) + 3*x(g).\nAnswer: 2*g**2 - 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -393740, -1, -48 in ascending order.\nAnswer: -393740, -48, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 348127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d - 0. Suppose -1 = -z - f + 16, 0 = d*z + 4*f - 48. Calculate the remainder when 59 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12176467\/(-1338) + (-2)\/12*3. Let w = d - -9101. Are w and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -20*f**2 + 100*f + 219. Let t(g) = 11*g**2 - 60*g - 109. Determine -3*o(a) - 5*t(a).\nAnswer: 5*a**2 - 112","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -43.\nAnswer: -43, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -4, 0, 3, 3652 in decreasing order.\nAnswer: 3652, 3, 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12805981*h**3 + 6402968*h**3 + 6403020*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.88 - -20.897. Which is the third biggest value? (a) -3 (b) 1\/8 (c) 0.5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29308*v**2 + 2 - 2 + 2*v**3 - 29308*v**2 + 0.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 100*j**2 + 2*j. Let g(t) = -124*t**2 + 102*t + 34. Let z(v) = -11*v**2 + 9*v + 3. Let n(u) = 6*g(u) - 68*z(u). Give o(n(d)).\nAnswer: 1600*d**4 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -8 + 23. What is the common denominator of (-2)\/z + (-79)\/10 and 19\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 32521244*z - 32521246.\nAnswer: 2*(z - 16260623)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 830 + -214?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 224874.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 5 (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.12371 minus 553422113?\nAnswer: -553422117.12371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + 0 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -543 + -2?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 233*v + 1414. Determine j(-5).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240.251 + 30.009. Let x = z + -266. What is x rounded to 1 decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**5 + 4*k**4 + 5*k**2 - 4. Let r(q) = 2*q**5 - 3*q**4 - 5*q**2 + 3. Let c(w) = 3*m(w) + 4*r(w). Find the third derivative of c(y) wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/85062 and -83\/85062.\nAnswer: 85062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = a + 8, -12 + 5 = 3*t + 2*a for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/5269590*1345711 - (-3)\/2. Let i = q - 21\/3365. Calculate the common denominator of i and 145\/6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.9, -30959 in ascending order.\nAnswer: -30959, -2, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**2 + 5*k**2 - 8*k**5 + 0*k**2 - 3*k**2 wrt k?\nAnswer: -480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 381498.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1 = 11. Suppose -3*k + 6*k - c = 0. Suppose -69 = -5*s + k*y, -4*s + 50 = 4*y - 34. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) -1 (c) 7 (d) 1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33485 - -77092. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*h - 3*h. Let o(l) = 4*l - 1 + 0 + l**2 - 4*l**2 - l**3. Let b be o(h). Let m(x) = -x**2 + x + 1. Give m(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130 is divided by 560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1224*s - 2187 = -623*s - 9399 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -2 - 1\/2*b**3 - 3\/40*b**6 - 7\/20*b**5 + 0*b + 27*b**2 - 5\/8*b**4. Factor n(c).\nAnswer: -3*(c + 1)**2*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 100.3 (c) 1\/4 (d) -0.2 (e) -6\/11 (f) 1\/11 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxzx when four letters picked without replacement from rxrnxxzxxxxnxxznxxn.\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 6:34 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -4. Let h(z) = 3*z - 6. Let k be h(3). Let n(q) = -4*q**3 + 4*q + 2. Let r(u) = 7*u**3 - 7*u - 4. Determine i*n(b) + k*r(b).\nAnswer: b**3 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142854 (base 13) to base 14.\nAnswer: cb0c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-16)\/(-42)*(-12)\/8\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z. Let u = -19 - -35. Let s(h) = -10*h + 16. Let o(r) = 2*r - 3. Let f(y) = u*o(y) + 3*s(y). Determine f(j(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2 - 8*c + 0 + c**3 + 0 - 2*c**2 + 7*c**2. Let w(s) = 3*s**3 + 21*s**2 - 33*s + 9. Let g(l) = 9*h(l) - 2*w(l). Factor g(x).\nAnswer: 3*x*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28162 is divided by 14034?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sjgggggsssjg.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -382, -5, -3\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 120, 268, 474, 738?\nAnswer: 1060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -13*b - 30. Let v(u) = 3*u + 8. Let i(m) = 2*o(m) + 9*v(m). Calculate i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16081 + -11120. Find the common denominator of 131\/18 and 2\/(-10) + c\/(-1320).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 8 = 4*g, -5*r - g - g = -18. Suppose 5*i - 3*z + 2 = 15, r*z = -5*i + 6. Suppose 0*q**2 - 2*q**2 - q + q**i + 2 = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 8*b = -5, 352*y = 356*y + 15*b + 103 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (144\/108)\/(52\/6). Solve -16\/13*x**2 + 10\/13*x**3 + 0 - b*x**4 + 8\/13*x = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/1)\/7)\/(-2*6\/(-144)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*a - 1)*(0 - 3 + 1) + 44*a + 40*a - 3*a.\nAnswer: 91*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/56214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5956778 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/289 - -301\/3468. Let c(o) be the second derivative of y*o**4 + 0 - 1\/6*o**3 + 0*o**2 - 3*o. Factor c(j).\nAnswer: j*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2354?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007459733 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/207, -2\/7, 776?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/8*2\/(-6). Which is the second smallest value? (a) -9 (b) -3\/8 (c) x (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -468394, -468315, -468236, -468157?\n\"Answer: 79*l - 468473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 33612846.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4389809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*m + 2004, 5028 = 5*m - 81*u + 82*u. Is m a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*w**2 - 3 - 74*w**2 + 2 - 61*w**2 - 107*w**2 as k + o*w + s*w**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108515548*f**3 - 49*f**2 + 432*f - 90 wrt f?\nAnswer: 651093288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -54*h - 45. Is g(-9) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-189)\/154*66 + 21\/(-1)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (65\/(-1))\/((-5)\/2). Calculate the greatest common divisor of j and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195*j**2*u**3 - j**2 + 9*u**2 wrt u?\nAnswer: -1170*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 10*w**2 - 12*w + 7. Let t be -5*8\/(-20) + 4. Let l be s(t). Let a = l - 54. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 391 + -251. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -0.5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 1 + (sqrt(567) + -1)*3 + 2)**2 + 4)*-2.\nAnswer: -10232 - 324*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 662539738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4301\/858)\/(-17)*(-15)\/7 and 47\/84.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -107*u**2. Let y(n) = -1690320*n. Give y(p(l)).\nAnswer: 180864240*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 13)\/(3\/54). Find the common denominator of (4\/112)\/(1\/x) and -9\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - 7*c - 7*c + 6)*(0 + 0 + 1).\nAnswer: -7*c + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 6)*(2 - 2 + 4)*(0*o**4 - 2*o**4 + 3*o**4) in the form u*o**4 + i*o**3 + j*o + b*o**2 + z and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(((x*x\/x**2)\/x)\/x))**16*x**(-2\/51)*x**(19\/3)\/x assuming x is positive.\nAnswer: x**(906\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 18*t**3 - 4*t**2 - 4*t + 1. Let f(s) = 17*s**3 - 3*s**2 - 3*s + 1. What is -4*f(b) + 3*l(b)?\nAnswer: -14*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38070)\/2673 - 6\/9) + 15?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-63))\/((-26)\/39)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024599913 to 5 dps.\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*j + 4 - 2 - 4 + 3 to x + q*j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38887 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2266046865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-14 - 126\/(-15))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/2 + 2*j**3\/3 - j**2 - 786. Suppose 2 - 22 = 4*c, -w = -5*c - 26. Let t be l(w). Is t at least -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9242.645 millimeters to kilometers.\nAnswer: 0.009242645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32\/333 + -32711\/2664. Let a = -228278 - -2518498\/11. Let z = a - 135493\/198. Find the common denominator of u and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a - 5*k - 10747 = -23*a, -a + 5*k + 3599 = 0. What are the prime factors of a?\nAnswer: 2, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696611 is divided by 855.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6476 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561358137 and 279.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -22, 5, 4 in decreasing order.\nAnswer: 5, 4, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335051298 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*i + 2\/5*i**2 + 810.\nAnswer: 2*(i + 45)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 30.4. Put -2\/9, 3, -3, w in decreasing order.\nAnswer: 3, w, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 3*h**2 + 4*h + 8. Let p be o(-6). Let v = 132 - p. Calculate the highest common factor of v and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 1882\/70 - 1. Let h = f + 148\/5. Which is bigger: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + 8a?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(5\/((-5)\/(-2))). Factor 1 - 2*g**4 + 4*g**3 - 1 - 2*g**h.\nAnswer: -2*g**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11542?\nAnswer: 2, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-27))\/((-1)\/(-3)). What is the closest to i in -0.3, 0, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*3\/(6\/(-7)). Let n(s) = -s + 19. Let b be n(0). Let l = b + m. Solve -2*c + 5*c = l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35595 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(70875\/150) + (-1474)\/(-42)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9215 and 60625.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5343*l - 9742 + 9742 as v*l + b and give v.\nAnswer: 5343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -2\/3 (b) 3 (c) -1\/6 (d) -9 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 70\/5 + -4 + 2. Let p = u + -34. Let b = 33 + p. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 39 = 4. Suppose f*v - 54 - 30 = 0. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149 - -149.076. Let q = 0.866 - i. Round q to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 180, -4, -69, -3, -2.\nAnswer: -69, -4, -3, -2, 50, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 8*j - 52. Suppose 0 = 5*h + j, 2*h = -4*u - 3*h + 19. Solve 3*b - u = -4*p - 3, -2*b = 2*p - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -262 - -252. Let j be x\/((-30)\/9) + -102103 + 0. Round j to the nearest one thousand.\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6387 a factor of 107036712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-7\/3))**(-16))**34 assuming k is positive.\nAnswer: k**(3808\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -1625242?\nAnswer: 1625244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 12864.94 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 1. Let f be k(4). Let q be f\/(-14)*2*5. Let g(m) = q*m - 5*m - m. Let d(c) = 2*c**2. What is d(g(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1003443?\nAnswer: 1003440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 r when three letters picked without replacement from {j: 3, r: 8, d: 5}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*h = 8*c + 1, -5*h = 2*c + 14. Let 8*o**4 - 10*o**4 + 7*o**c + 0*o**2 - 2*o**2 - 3*o**3 = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.2 (c) 4\/9 (d) 4 (e) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43053, 172218, 387479, 688824, 1076241?\nAnswer: 1549718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 21 = j. Let t = -9 + 7. Let x be (-142)\/(-10) - t\/(-10). Calculate the highest common factor of x and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 308?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 136759, 135240, 133721, 132202, 130683, 129164?\n\"Answer: -1519*q + 138278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - t = -98, 5*p + 25 + 85 = 5*t. Let k be 4\/(6\/15 - (-24)\/(-110)). Let m = k + p. Is m greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 21992 + 0?\nAnswer: 21992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -422 or -419?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2599019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -0.02 (c) -0.5 (d) 71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 167 = 5*i. Let m = i - -7. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = -3*d - 5, -3*o + 2*d = -10. Suppose -4*y + 4550 = 5*k, 4*y - 1227 - 3309 = o*k. Is y a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*m)*(1 + 0 + 1)*(183 + 2*m - 166 + 0*m) + 0 + 0 - 7*m**2 in the form t*m + y*m**2 + z and give t.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d - 3 + 3)*(-3 + 0 - 3)*(22 + 20 + 20).\nAnswer: 1116*d","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 4*j + 16. Let p(o) = -o**3 + 2*o**2 + 4*o - 3. Let c be p(3). Let a be d(c). Solve 8*u - 4*u + a = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 71 - 3?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-65)\/10 - (-1)\/2. Let o(m) = -m - 2. Let y be o(l). Suppose y*d = -d + 60. What is the lowest common multiple of d and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h. Let a(z) = -3931819*z. Give l(a(b)).\nAnswer: -15727276*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1183 divided by -7.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*h**2 + 1 - 17*h**5 - 3*h**5 - 35*h**2 wrt h.\nAnswer: -1200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3 - 325*f**2 + 5440*f - 5120 = 0. Calculate f.\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 + 1 - 0 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*m - 19, -x = -0*x - 2*m - 8. Suppose -y - 318 = -3*g + 3*y, -x*g - y = -201. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + l + 0*l - 3*l + l + 4*l + 2*l - l + l + (5 - 5 - 2*l)*(2 + 5 - 5) + 2*l - 4*l + 0*l + 2 - 2*l - 2)*(-2*l**3 - 5*l**3 + 4*l**3).\nAnswer: 9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19806 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/2)\/((-33)\/242). Suppose -5*v + r = -9. Solve 0 = -t + v*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5457 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/108 - (9\/(-490))\/((-156)\/10270).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bmbmbbbbrb. Give prob of picking 1 b, 1 r, and 1 m.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**8\/168 + 3*r**7\/35 + 23*r**6\/60 + 7*r**5\/30 - 2*r**4 - 16*r**3\/3 - r**2 + 29*r. Let f(s) = 0. What is s?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - 0) + 5 - -6 - (-3 + 20).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**2 + 12*f - 58. Let a be z(3). Put 5, a, -2, 3 in descending order.\nAnswer: 5, 3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p**3 - 6*p**2 - 21*p + 82. Determine k(3).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1065 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1001011101110000010101 (base 2) to base 11\nAnswer: -1445162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-6)\/4)*(1 - 11). Solve 22 - 2 = -z*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 15316 = h, 22314 = 3*c - 2*h - 674. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 893299 and 893295 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*c**2 - 2 - 77*c**2 + 42*c**2.\nAnswer: -136*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145 by -112.\nAnswer: 145\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 + 11 = 4*g. Suppose -4*l = -3*l - 79. Let t = l - g. Calculate the remainder when t is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847)*-2 - sqrt(847)) + 0)**2.\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -0.827606?\nAnswer: -0.172394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxxttlt. Give prob of picking 1 l and 1 x.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 64944724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 1:13 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 1 + 0*x**2 + x**2 + 0 - 4*x. Let p be (-3)\/1*(-8)\/6. Let l be w(p). Which is greater: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in -57, 0.055, -3, 0, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-147))\/((-430)\/(-1505))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12150969 rounded to four dps?\nAnswer: -0.1215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwullwulwul. What is prob of picking 2 w?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -5, -114, 2\/11, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-28)\/(-126) + (-102)\/351\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5810020 < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -f**3\/6 - f**2 + f - 1. Let x(c) be the first derivative of i(c). Let m(h) = -91*h - 9278. Let n be m(-102). Determine x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4758 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: Is 1\/3 + (2755\/15 - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 36*b**2. Let o(z) = 8*z. Give x(o(k)).\nAnswer: 2304*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2187.1 minus -865?\nAnswer: -1322.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a - 6*a + 13*a + a + 7*a. Let k(j) be the third derivative of j**5\/60 + j**2. Give c(k(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*b - 10 = 0. Let c(h) = -h**3 + 11*h**2 - 10*h + 2. Let x be c(10). Find the third derivative of -2*s**5 + 6*s**5 - 3*s**x + b*s**2 wrt s.\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 10) in base 5?\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720)*4 + -4.\nAnswer: -4 + 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j + 2 - 1\/3*j**3 + 2*j**2. Let u be i(2). Solve 2*d = u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 212953.\nAnswer: 5\/212953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 698.6921 centuries?\nAnswer: 838430.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2 - 23*n + 22. Let f be m(12). Suppose -6 - f = -8*l. What is the smallest common multiple of 33 and l?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/120 - c**5\/20 - c**4\/24 - c**3\/3 + c**2. Calculate f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 15*b**2 - 16*b - 6. Let g be h(16). Let m(w) = w**2 + 3*w - 1. Determine m(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/(-30))\/((-3)\/(-9)*(-15)\/(-10)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-637)\/9 + (-8)\/36. Let z = 124 + i. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*z = 254, 3*d = -d + 5*z + 948. What is the highest common factor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - (sqrt(234) + (sqrt(234) - 3*sqrt(234)) + sqrt(234)))\/(sqrt(128) + sqrt(128)*1).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12 = 0, v + 2*v - d + 265 = 0. Let z = v - -87. Solve z = x + 1 + 1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 566399 and 39062?\nAnswer: 1132798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 453 a factor of 4266354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 69306? (a) -5 (b) 0.3 (c) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69997\/31984 + -2\/1999. Find the common denominator of l and 11\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 79? (a) 2\/7 (b) 2\/49 (c) 3 (d) -0.4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128799.\nAnswer: 3, 11, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7e + -4?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246570748?\nAnswer: 2, 7417, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 1. Let g = -12.474 - -12.474. What is the closest to 1\/3 in f, -1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4313074.13 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -55*z**2 + 16*z. Let f(t) = 32*t**2 - 10*t. Let w(l) = 8*f(l) + 5*h(l). Let s(o) = 111*o. Determine s(w(j)).\nAnswer: -2109*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.743 - -24.257. Which is the third smallest value? (a) 5 (b) 2\/3 (c) -0.1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 183*x - 2029. Let j be n(11). Sort 0, -4, -3, j in descending order.\nAnswer: j, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6287.266 hours to nanoseconds.\nAnswer: 22634157600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + (5 - 5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 21. Is 120345\/30 + (-10)\/q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*1 - (-16)\/8. Suppose -5*c - 4*r + 27 = q, -4*c = -c - r - 23. What is the remainder when 13 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 5772138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/424 and 68\/25917.\nAnswer: 207336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i - 6*i - 33*i**3 - 34*i - i**2 + 5*i**2 + 27*i**3 in the form d*i + j + s*i**3 + n*i**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3582785, 3582947, 3583109, 3583271, 3583433?\nAnswer: 3583595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 2*h - 4836 = 0. Let a = -5582\/15 + h. Sort 4, 3, a, 3\/5.\nAnswer: a, 3\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 3*m**2 - 5*m - 3. Let p be q(5). Suppose 2*g - 4*g + p = 0. Let c = -917 - -919. Solve c*y - g = 5*s, -2*s - 2*y = -3*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.61 and 0.2.\nAnswer: 0.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101*n**4*z**2 - 3*n**4*z - n*z**2 - 12*z**2 - 3*z wrt n.\nAnswer: -1212*n**2*z**2 - 36*n**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 24*x**2 + 10. Let f(g) = -g**2. Let l(p) = -6*f(p) - o(p). Find the first derivative of l(c) wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4052396.2 rounded to the nearest ten thousand?\nAnswer: 4050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 318 + -318.14. Put v, -9\/7, 0.5 in descending order.\nAnswer: 0.5, v, -9\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-750)\/12)\/((-9500)\/(-3800))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - 19. What is the common denominator of 1\/(-2) + (-564)\/b and -103\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (165\/18 - 2) + (-6)\/36. Suppose o*z + 9*z - 6880 = 0. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -4\/269377, -0.5, -0.2?\nAnswer: -4\/269377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 1690*g**2 + 7*g + g**3 - 1684*g**2 - 2*g**3 - 3. Let x be f(7). Put 3, 0, x, 5 in decreasing order.\nAnswer: 5, 3, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5839341 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/518 and -73\/8.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129, -211, -305, -417, -553, -719, -921, -1165?\nAnswer: -1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597.5399 minutes in milliseconds?\nAnswer: 35852394","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 585152066*w**2 + 4*w - 20741583 wrt w?\nAnswer: 1170304132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563758489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -392207 divided by -12?\nAnswer: 392207\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h**2 + 229*h - 682. Give v(39).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -18660 > 1837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 2*d**2 + 61*d - 186. Determine y(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a factor of 873632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 10:03 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/((-6)\/3) + 20 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -74, 3, 0.2?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 16, 3*a + 2*w - 94 = -2*w. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.322 times -2?\nAnswer: 0.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 divided by 88.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -69, -110, -153, -198, -245, -294?\n\"Answer: -n**2 - 36*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18956353.77 to the nearest ten thousand.\nAnswer: 18960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = -3*m - 238 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 82, 104, 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.4 or -12778753?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 3. Let z be a(6). Suppose -4*h = 68*c - 70*c - 242, -4*h + 248 = -4*c. What is the remainder when h is divided by z*(-1 - 1\/3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u**2 - 55*u - 37. Let c be y(11). What is the highest common factor of c and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 2*v - 4*v - 3*v + 5*v - 4*v + v + 3 - 3 + v + 2*v - 5*v + (-2 - 1 + 5)*(-4 + 4 - v) + 0*v + v - 3*v - 5*v + 4*v + 0*v + (13 - 71 - 2)*(-3 + 3 - 2*v).\nAnswer: 111*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u**4 - 60904*u**3\/7 + 4738632*u**2\/7 + 389664*u = 0. What is u?\nAnswer: -462, -4\/7, 0, 738\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/60 + b**4\/6 + 5*b**3\/6 + 3*b**2. Let v be m(-4). Which is bigger: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25452096 divided by 4242016?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 301409387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(-1)*u*u)\/u*u*(u*u**(-2\/9))\/u*u\/(u**(-5)\/u)*u**(-3))\/(u*u**(-6)\/u*u**(-2\/3)\/u*((u\/u**(-2\/11)*u)\/u)\/u**(-4)) assuming u is positive.\nAnswer: u**(818\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-3)\/(6\/(-10)). Suppose y = 4*x - 7. What is the third derivative of -x*b**2 - 13 + 13 + 3*b**5 wrt b?\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 626 - -5011?\nAnswer: 5640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*f - 36 + 15, -4*f - 16 = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*j - 10, -3*z - 8*j = -3*j - 5. What is the greatest common factor of 15 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/2 and (357\/6 + 1)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 247997\nAnswer: -247996.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 31. Let z = -6 + c. Let d = -14 + z. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.3446 kilograms in nanograms?\nAnswer: 448344600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1181 divide 1455944922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.24 + 0.76. Which is the nearest to v? (a) -2 (b) -3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-12))\/(-4 + -1 + 2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18, -0.11, 3, -2\/59769?\nAnswer: -2\/59769","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3 + 19 = 0, -3*c + l = -5177. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 3, 5 in increasing order.\nAnswer: 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3206921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.3 = 746\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6)*(((h**(-2\/25)*h*h)\/h)\/h)\/h*(h**2)**43 assuming h is positive.\nAnswer: h**(1973\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*g = -55*g + 12. Suppose 48 = -g*k + 3*a - 60, 2*k - 5*a + 54 = 0. Is -27 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2073 + -2072.998605. What is d rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t**2 + 8*t - 4. Let z(j) = -9*j**2 - 8*j + 4. Let p(n) = -4*v(n) - 5*z(n). Let d(s) = 3*s**2 + 2*s - 1. What is 9*d(w) - 2*p(w)?\nAnswer: w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 - (597\/(-45) - (-4)\/1) and 56\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 - 1633395\/(-30) - (-1)\/2*-5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*g - 2*h + 8, -5*g - 4*h = -17. Suppose 2*u + g + 5 = 2*v, -3*v + 5*u + 9 = 0. Solve 2*m = -6*z + z - 5, v*m + z = 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 299587.9 years to millennia.\nAnswer: 299.5879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1934*c - 3450*c - 1878*c - 1066*c to the form x + q*c and give q.\nAnswer: -8328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -85. Which is the closest to -1? (a) y (b) -3.9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k - 128 = 6*k - 288. Solve 81*j - 85*j = k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 32*h**2 + 89*h + 9. Determine k(29).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, b: 3, f: 4, r: 2, u: 2, p: 1}. What is prob of picking 1 p and 1 f?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.39 (b) -3\/14 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, -3, -0.4 in increasing order.\nAnswer: -292, -3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 729648 a multiple of 1126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 76, -0.1, -0.91?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*l - 44 = 55*l. Solve -7*x = l + 26 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6066 + -0.23?\nAnswer: 6065.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3965 + -5?\nAnswer: 3960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 312951*g**2*p - 685507*g**2 wrt p.\nAnswer: 312951*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26.526 + 0.274. Let n = 27.1 - h. Which is the second smallest value? (a) n (b) 0.4 (c) 7\/3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oossossosoosossoso. What is prob of sequence oo?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (812\/(-240) - 1\/(-4))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2. Let h(o) = -350*o - 49. Let v(z) = -35*z - 5. Let j(l) = 5*h(l) - 49*v(l). Give j(c(q)).\nAnswer: -35*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 3*d - 2. Let v be p(5). What is the units digit of v\/(20\/(-70) - (-6)\/28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*w - 3901 - 1209 = 3530 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/(-36) + (-4)\/(-36). Which is the closest to -1? (a) 3 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131331 + -11?\nAnswer: -132002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-one halves of a kilogram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 3*o - 330. Let j = o - -66. Suppose j = 10*z + 4*z - 2744. What is the greatest common divisor of 28 and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - 4) - 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 - 2*u**3 + 700 - 7445.\nAnswer: -2*u**3 - 6745","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 4*k**2 + 2*k - 1. Let d(a) = -a**3 - a - 1. Suppose -1 = 3*v - 7. Let j(g) = v*d(g) - c(g). Let m be j(-3). Let s(x) = -x + 2. Give s(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.998 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -17. Suppose 162 = v*g - 2*x, 5*g + 2*x - 6*x = 198. What is the second derivative of 3*a - a + 30*a**4 - g*a**4 wrt a?\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + 2 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -8 (c) 0.25 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/280 or 101.719?\nAnswer: 101.719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-15)*((m\/(m**(-10)*m))\/m)\/m)\/(m**(-1\/5)*m)**(-16) assuming m is positive.\nAnswer: m**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223*x - 226*x = 3. Let d be (-8 - 22)*x\/7. Is d at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819688153.\nAnswer: 819688153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by -150?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/3*15\/10. What is the third derivative of q*c**4 + 0*c**4 + c**2 - c**4 wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18092305 and 308?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + 52. Calculate the highest common factor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5559142 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**5 + 4*q**3 + 2*q**2 + 4*q - 4. Let d(z) = -z**3 - z + 1. Let w(s) = -4*d(s) - y(s). Find the third derivative of w(t) wrt t.\nAnswer: -360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/3 + 158*u**4\/3 - 372*u**3 - 8308*u**2\/3 - 12646*u\/3 - 1870 = 0 for u.\nAnswer: -85, -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13695545 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 - -84. Let j be 1281 + ((3\/3)\/i - 4). Suppose -6*v = 3*v - j. What are the prime factors of v?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 11*w - 308. Determine v(28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-175)*(-5)\/2 + -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 396 = -351. Let r be 474\/(4 - 2) + 1. Suppose -z = -5*q + 248, t*q - r = -2*z + 1. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**4 - 216*c**3 + 444*c**2 - 224*c = 0?\nAnswer: -56, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 258073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 3*d + 2*z - 14, 5*d - 2*z - 6 = 0. Solve 3 - 7 = -d*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5190404239 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -1 - 5) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c9575b (base 13) to base 10.\nAnswer: -4724809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-4\/11)\/(v*v**(-2\/17)) assuming v is positive.\nAnswer: v**(-233\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129.872 + -130. Let y = h - -2.128. Suppose 20 = -2*m - 3*m. Which is the second biggest value? (a) y (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 5*q**2 + 4*q - 9. Let p be ((-33)\/22)\/((-2)\/(-8)). What is the lowest common multiple of 1\/3 + 2\/3 and w(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6050049163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -13*c + 29. Let x(g) = 3*g - 7. Suppose 0 = 5*d - 8 - 2. Let t(a) = d*s(a) + 9*x(a). Let o be t(5). Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 174 - -122. Let x = -294 + m. What is the second biggest value in -14, x, 0.1, 6?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -0.15, 204\/25, -0.21, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**3\/3 - 2*z**2 + z + 112. Let q(v) be the second derivative of -v**3\/3 + 3*v**2\/2 - 10*v - 1. Calculate -5*g(j) - 6*q(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -226, -336, -434, -514, -570?\n\"Answer: h**3 - 117*h - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 1081.\nAnswer: 432.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/7*k**2 - 2\/7*k + 0 - 2\/7*k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**9\/45360 + n**7\/7560 - 5*n**4\/12 + 3*n. Let o(y) be the third derivative of a(y). Solve o(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5065401 and 4582?\nAnswer: 10130802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:51 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/95 - -4\/19. Which is the biggest value? (a) -0.3 (b) o (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 681039 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 1862*b**2. Let k(y) = -59*y + 2. Determine k(o(m)).\nAnswer: -109858*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3696)\/32)\/(-11)*24\/(-98) - -2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tetettttte. Give prob of picking 1 t and 2 e.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100\/70040463 - -787418947867\/501489715080. Let c = -110\/537 - l. Calculate the common denominator of c and -17\/14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(208))**2 + 3.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3812363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*u - 32*u - 45*u + 117*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 - -46. Let i be -3 - 100\/r - 3*1. Factor i*h**4 + 6*h**2 + 4\/3 - 14\/3*h - 10\/3*h**3.\nAnswer: 2*(h - 2)*(h - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950792567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + l + 14 = 13, 5*l - 1 = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 37031.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3 + 145*i**2 - 851*i?\nAnswer: 6*i + 290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/(sqrt(32) + sqrt(8)))\/(sqrt(1210)*1)*-1.\nAnswer: -sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 150865768 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3607 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0*z + 3*z + z - 5*z - 1. Let j be g(-4). Let c = j - -10. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 12 = 4*n, n + 5*i - i + 3 = 0. Let w(v) = 3*v + 6. Let q(a) = 12*a + 25. Let s(y) = -2*q(y) + 9*w(y). Let p be s(n). Sort -1, 5, p.\nAnswer: p, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.0442 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i - 3*i**2 + 0 - 1\/60*i**5 + 1\/4*i**4 + 1\/3*i**3. Suppose 5*z = 4*v, -3*v + 3*z = -z + 1. What is p(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 275?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i**2 + i + 1. Let n be 20\/90 + (-22)\/18. Let w be t(n). Suppose -4*f + 26 = o, -o - f + 11 = -w*o. Let d(q) = q**2 - 6*q. Give d(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15464925 divided by -27275?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 - 126*l + 306*l - 62*l - 120*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(-6*i**3 + 3*i**3 + i**3)*(-5*i + 56 - 56) + (-i + i - 2*i**2)*(3*i**2 - 3*i**2 + 2*i**2).\nAnswer: -24*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 399*z + 1213. Let x be j(-3). What is the highest common factor of x and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + 2254. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 29 = 17. Put -1, 3, v, 16 in descending order.\nAnswer: 16, v, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -f**10\/50400 - f**4\/12 + f**2. Let a(n) be the second derivative of t(n). Factor a(k).\nAnswer: -3*k**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*i + 12, 3*n + i + 3*i = 13. Suppose 4*h = 2*a - 144, -n*h + 0*h + 3 = 0. Let l = a + -20. Calculate the highest common factor of 36 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -101 in -1\/4, -1.8, -0.05?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 15*u + 6. Let l be z(-1). Let w be (456 - 2)\/1*l\/18. Let g = w + 429. List the prime factors of g.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4339598.\nAnswer: 2, 2169799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 + 0 + 32)*(1 + m**2 - 1)*(-2*m**2 + 2*m**2 - 2*m**2).\nAnswer: -112*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**2 - 72*v - 400. Let g(p) = 9*p**2 + 70*p + 400. Let n(i) = -4*g(i) - 5*j(i). Factor n(f).\nAnswer: 4*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2310, 2340, 2412, 2544, 2754, 3060, 3480, 4032?\n\"Answer: 3*b**3 + 3*b**2 + 2304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1460 by -5.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.672 + 1.51.\nAnswer: 22.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 9*k = 180. Suppose -6*p + k = 9. Suppose 129 = p*f - 87. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 4) to base 16\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*j + 2*q + 29, j - 2*q = 9. Which is the nearest to 0? (a) j (b) 2\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 491 divide 516532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0.028?\nAnswer: 1.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -22 + 2 + 1 + 4. Let r(h) = h + 17. Let o be r(k). Solve 2*g = o*m - 10, m - g - 9 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -711? (a) 5 (b) 2 (c) -2\/511\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + 2*d**2 - 3*d + 2. Let v be j(-3). Let y = v - -2. Suppose -y*q = -q - 9. Solve -4*c + 4*h + 24 = -h, -q*c - 5*h = 17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 6*z - 7. Let r be u(8). Suppose -30 = -3*j - r. Differentiate -5 + j*h**3 - 3*h**3 - h**3 + 0*h**3 wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67*d**2*z - 133*d**2 - 4*d - 257*z - 85 wrt z.\nAnswer: -67*d**2 - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 165 = -3*u. Let j = u + -14. Suppose 0*y - y = -j. Calculate the remainder when 55 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.34 + -0.04. Put 1\/9, -0.2, r in increasing order.\nAnswer: -0.2, 1\/9, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 - 0.6. Let c = j - -1. Let d = -1 - c. Which is smaller: d or -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 g, and 1 k when three letters picked without replacement from mgtzgzkzkggttg?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -m + 2. Suppose m = 2*o - 27. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*v**4 + 76*v**4 - 402*v**4 - 447 - 296 wrt v?\nAnswer: -1224*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of h**6\/6 - 132*h**5\/5 - 5*h**3\/3 - h**2 + 2250*h - 225. What is the second derivative of p(c) wrt c?\nAnswer: 20*c**3 - 1584*c**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10108, 10109, 10110, 10111, 10112, 10113?\n\"Answer: z + 10107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -24998*w - 1399890. Calculate v(-56).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n**2 + n. Let h be r(-1). Let x(y) be the third derivative of -y**4\/24 - 4*y**3\/3 - 3*y**2. Let l be x(h). Let g(w) = -2*w. What is g(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -2069*c**6\/120 - 8*c**5\/3 + c**4\/12 - 3156*c**2. What is the third derivative of f(m) wrt m?\nAnswer: -12414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f + 95. Let o(l) = l**3 + 19*l**2 - l + 21. What are the prime factors of o(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (18 - 5)\/(3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -664797 and 3.5397.\nAnswer: -664793.4603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*q + 6*q**2 - 4*q**2 - 8*q - 5)*(4*q - 2*q - 3*q) in the form z + y*q + m*q**3 + o*q**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m - 37*m = 30. Let i be (-4)\/(-18) - (-192)\/108. Suppose i*q = -m + 1, 0 = -x + 2*q + 84. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66730 - 1001220223?\nAnswer: -1001286953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -241 + 368. Let r = q + -97. What is the greatest common divisor of 240 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.3, -185963, 0.8, -0.5 in increasing order.\nAnswer: -185963, -0.5, -0.3, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.01 - 0.01. Let h = p - -4. Which is the nearest to 1? (a) h (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 9. Let z be d(9). Let h be 0 - (13 + -13)\/(z - 1). Does h = -7\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duumudmdtum. Give prob of sequence dmu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 + 29*l + 20. Let c be b(-9). Find the third derivative of -16*g**3 + 8*g**2 - 19*g**3 + 0*g**c - 103*g**3 wrt g.\nAnswer: -828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -5*d - 387659 + 387669, -5*d - h = -10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 4085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 9*c**3 + 14*c**2 - 4. Let x(k) = k**3 + k**2 - 1. Suppose 12*w + 9 + 3 = 0. Let d(z) = w*y(z) + 4*x(z). Factor d(a).\nAnswer: -5*a**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -223\/33 or -7?\nAnswer: -223\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199262328 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -53, -6, -4, 5 in ascending order.\nAnswer: -53, -6, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/416 and 5\/156.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 596869.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/5386705 and 27\/169660.\nAnswer: 21546820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-three fifths of a litre?\nAnswer: 16600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105332 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 0)*(-8)\/(-3). Let x be (-4)\/(-10) - l\/(-20). Let u(d) = d**2 - 12. Determine u(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z. Let l(q) = 13225241*q. Determine a(l(s)).\nAnswer: 26450482*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 4*t - 408 = 4*d, 0 = -2*t + 4. Let k be 15\/10*(2 - d). Suppose o = -5*i + 278, 3*i - o - o = k. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - f = 266901, 4*f + 399463 = 5*k + 132589. Calculate the highest common factor of 42 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v. Let j be (6\/4)\/(15\/80). Let g(h) = h + 9*h - j*h. Determine g(y(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11 - 10 - 9 - 2*k + 20. Let t(l) = -3*l + 3. Let a be t(3). Let o be p(a). Solve g - c = 3*c + 4, 2*c + o = 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 9. Let w = -73 + 88.5. Let t = w - 16. Which is the nearest to r? (a) 2\/7 (b) t (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -2 + 4 + 0 + -1. Suppose w + 3*w + 5*y - 22 = 0, q*w - 18 = -3*y. Put 2, -4, w, 5 in descending order.\nAnswer: 5, w, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26 (b) -27.8 (c) -3\/8 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence if when two letters picked without replacement from {i: 2, y: 11, f: 7}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7bc00b (base 14) to base 11\nAnswer: 2422841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a + 20 - 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(36)*1)\/sqrt(12) + sqrt(3))*3)**2 - -4*(sqrt(432) + (sqrt(432)*-2)**2).\nAnswer: 48*sqrt(3) + 7020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 - 4*a**2 + 4*a - 4. Let s = -12 - -13. Suppose 0 = -4*o - s + 9. Let f be g(o). Calculate the highest common factor of f and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 11 - 4 + 22 - 11 - 2. Let k(z) = -1. What is -b(f) + 6*k(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 + 2 = 0. Suppose 4*s = n*x - 150, -3*s = 6*x - 2*x - 120. Suppose 5*y = 2*y + x. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (230\/5750)\/(16\/25)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3916 - -5696. Calculate the highest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*u**3 + 28*u**3 + 38*u**3)*(-2 - 1 + 2 + 4 - 6 + 3 + (0 - 5 + 4)*(0 + 2 - 1)).\nAnswer: -39*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c + 3*c + 3*c + 4*c + 9*c**2 - 9. Let y be o(4). Let m = y - 75. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(275) + sqrt(275)).\nAnswer: -5 + 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3265\/18 in 1\/3, -0.3, -1\/54, -1\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17216975 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-8))\/((-1)\/(-6)). Suppose t*g - 24 = 6. Solve 0 = -6*p + p + g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -6, -2, 8, -5 in increasing order.\nAnswer: -9, -6, -5, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 2328235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1031? (a) -1\/4 (b) 1.5 (c) -12 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798178?\nAnswer: 2, 3, 401, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3\/9 - 10552*r**2\/9 - 4684*r - 3512 = 0. Calculate r.\nAnswer: -2634, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 19 = -2*c, -5*c - 3*m + 2 = 1. Find the third derivative of 352*k**2 + k - k - 14*k**4 - 227*k**c wrt k.\nAnswer: -336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32103 (base 4) in base 13?\nAnswer: -555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7720*t + 7433. Give m(-1).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 244*t - 7*t = -5832 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 578*l - 4 - 620*l + 5 to p + f*l and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) 0.4 (b) -2\/41 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229653 is divided by 409874.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -12\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/52)\/((-195)\/(-780))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 19*k**2 - 3*k + 52. Let l be v(19). Which is the closest to 1\/3? (a) -1 (b) -5\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 + 4 + -3 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**2 - 1. Let s be i(1). Suppose 4*q = s*q + 80000. Round q to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -227074*l**3*u**3 + 3*l**3*u + l**2 - l*u**2 - 403*l*u - 51*l - u**3 + 2*u**2 wrt l?\nAnswer: -1362444*l*u**3 + 18*l*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -5. Suppose -v*a = -6*a. Suppose -5*y + 2 = -3, 5*p + 2*y - 32 = a. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430002 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 33*g**2 - 4*g + 1. Let v be k(3). Suppose 0 = -3*h - a + v, -158 + 628 = 5*h - 5*a. Let i = -49 + h. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 11) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158235 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2376*q + 1148*q - 2039*q - 1684*q.\nAnswer: -4951*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = -0*a + 3*a, -6 = -n - a. Suppose -2*v - x = -n, -v + 4*x + 10 = 6*x. Suppose -37 + 93 = v*s. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2059666 is divided by 1075.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 + 55*m - 7. What is s(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*p**2 + 282*p**2 - 117*p**2 + 196*p**2 as a + t*p + d*p**2 and give d.\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 5. Suppose -4 = l + 2*a + w, -a = 5*l + 16. Let f be l*(0 - (-2)\/(-6)). What is the greatest common divisor of f and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -4, -3, -53, -1 in descending order.\nAnswer: -0.8, -1, -3, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mcccqum.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8+119189084\nAnswer: 119189076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000111 (base 2) in base 10?\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16, -32, -52, -76, -104, -136, -172?\n\"Answer: -2*a**2 - 10*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82.78 + 83.18. Which is the second smallest value? (a) 79 (b) -0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22054\/3 + (4 - -2*52\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*z + 31 + 13, 0 = 3*x - 12. Suppose 0 = 8*a - 7*a - z. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5698? (a) 2 (b) -19 (c) -123 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4809\/148 or -12?\nAnswer: 4809\/148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4 + 4. Let o(d) = -2*d - 8. Let v be o(-7). Suppose -3*c - 12 = -t, 2*c + v = -2. Solve k + 1 = b, 33 = a*k - t*b + 5*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -26*g**2 - 4. Let v(y) = -y - 4176144 + y + 4176109 - 235*y**2. What is 35*k(w) - 4*v(w)?\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1056111715?\nAnswer: 5, 3919, 53897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*q = -3*q + 18, -10 = 3*y + 4*q. Suppose -y - 10 = -2*i. Calculate the remainder when i is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 220560\/7 - 213414\/7. Let y = l - 157863\/154. Calculate the common denominator of y and (-122)\/(-60) - (-1)\/(-3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -16. What is the closest to 1 in v, 3\/4, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*c + 5*c**2 - 73 + 339*c.\nAnswer: 5*c**2 - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*o**3*v**3 + 46*o**3*v**2 - 386*o**3 + 2*o**2*v**3 + 5*o**2 + 83825*o*v**3 - o*v - 2 wrt v?\nAnswer: -42*o**3 + 12*o**2 + 502950*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*l**5\/7 - 141348*l**4\/7 + 312193544*l**3\/7 - 77898208*l**2\/7 - 44599080*l + 11148508 = 0. Calculate l.\nAnswer: -1, 1\/4, 1, 4417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -194 + 146.3. Let m be 2 - (((-224)\/(-40) - 5) + 1). Which is smaller: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*d**2 + 1 + (-736*d - 144*d - 181*d)*(-1 + 2 + 0)*(d - 3*d + 0*d) in the form q*d**2 + y + g*d and give q.\nAnswer: 2124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 72 - 2172 = 0. Let k = s + -247. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 25, 13 = -2*d - 3*b - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-10)\/20*(-10)\/(-25))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12035 - 12.07?\nAnswer: -12047.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72 + 83)*(8\/(-5) + (-16)\/40).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1492 + 48792. What is the ten thousands digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -628c78b + 4?\nAnswer: -628c787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243 + 5*a**3 + 243.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*w - 4 = 0, -5*v + 32 = 3*w - 6*w. Suppose 5*z - 5*f - 20 = z, -v*z = -4*f - 16. Factor 2 + 10*b - 6*b + z*b - b**2 - 6.\nAnswer: -(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 16*q - 13*q + 2 - 2*q + 23*q - 9*q.\nAnswer: 16*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 7 = -8. Solve -6 + y = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, -1, -5 in decreasing order.\nAnswer: 6, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**4\/28 + l**3\/7 + 2*l**2\/7 - 12*l\/7 - 209. Factor u(q).\nAnswer: -(q - 3)*(q - 2)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(6*(-2)\/8). What is the highest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 22. Is 22*-2*10\/d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/42 and 1\/(40\/(-16) - 0).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -15*u**3 - 5*u**2 + 17*u + 27. What are the prime factors of a(-5)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 5*t**4 - 3*t**4 - 3*t**2 - 3*t**3 - t to h*t**2 + c*t**3 + i + o*t**4 + x*t and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 8:39 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r**2 + 12*r - 27. What is i(2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*q - 18 = 0, 5*v + 6*q - 5 = 9*q. Let a(f) = -5*f**2 + 3*f + 2. Determine a(v).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 10*o - 2. Let n(r) = 1478*r. Give n(z(q)).\nAnswer: 14780*q - 2956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 460 = -35407*y + 35411*y. Solve 24*n = -y + 163 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000191909533 to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/10241 in 4, -4\/9, 1915, -2\/9, 3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 + -126 - ((-1 - -3) + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 26*z - 76. Let y be l(6). What is the greatest common factor of y and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.29456g in kilograms?\nAnswer: 0.03929456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-75 + 9 + 14 + -9 - 11).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence modf when four letters picked without replacement from moodofm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j + 256. Let l be x(12). What is the highest common factor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1064*b**3*o - b**3 + 2*b**2*o - 14*b*o + 14*b wrt b.\nAnswer: -6384*b*o - 6*b + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205\/4 - -51. Let t = -0.7 + -0.3. Let n = 0 - t. Which is the nearest to x? (a) n (b) 1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 329134766 and 2303943358\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 * -4.04\nAnswer: -1.2928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40\/279 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - b - 2. Let s be q(3). Suppose 4*n - h - s*h = 55, -2*n + 45 = h. What is the highest common factor of n and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220424 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 189645069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6119?\nAnswer: 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36008, 288065, 972218, 2304515, 4501004, 7777733?\nAnswer: 12350750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 48 = -15*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (8 - 18) + -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-d + 0*d + 2*d)*(-216 + 282 + 105 + 323)*(-3*d + 15*d - 7*d) in the form w + j*d**2 + m*d and give j.\nAnswer: 2470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 10. Let k = 14 + -20. Let q be f(k). What are the prime factors of q\/(2 - (-26)\/(-12))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 3, r: 2, f: 1}. What is prob of sequence kf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5*h**3 + 2*h**2 - h - 25. Is 34 a factor of t(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -48, 358753 in ascending order.\nAnswer: -48, -3, 358753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-t**3 - 3*t**2 + 3*t**2)*(-5 - 2 + 6) + t**3 - 2*t**3 - 15*t**3)*(3*t - t - t) + 4*t + 2*t**4 - 4*t.\nAnswer: -13*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 - 3*t**4 - 4*t**4 + (5*t**4 + t**4 - 2*t**4)*(-235 + 51 + 104) in the form h*t**2 + r*t**3 + q*t + y + v*t**4 and give v.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 3, 1, 8 in descending order.\nAnswer: 31, 8, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -2*o - 81. Suppose -7229 = -o*i + 6361. List the prime factors of i.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362865 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x + 20. Let b(r) = -13*r - 20. Let m(o) = 5*a(o) + 4*b(o). Let v be m(7). Let c = 83 - v. Calculate the remainder when 18 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*z + 396 = 0, -2*m + 268 = 2*z - 4*z. Let j = 239 - m. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484404535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 + 4)*(5*h - 3*h - 12*h) + (h + 4*h - 3*h)*(1 - 1 - 3) to the form a*h + r and give a.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 3*l. Let k be w(-2). Let s(o) = -o**2 - 9*o + 4. Let p be s(-9). Let b be ((-6)\/4)\/(p\/(-8)). Solve k*z + 1 = -b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-24))\/(52\/(33488\/138))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**2 - 82089852*j - 82089849 = 0.\nAnswer: -27363283, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 271 + 58. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -6 (c) 6 (d) 0.3 (e) 2\/3 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1514530.51 and -19.\nAnswer: -1514549.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2. Let b(v) = 1720*v - 16. Determine j(b(s)).\nAnswer: 2958400*s**2 - 55040*s + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -670.\nAnswer: 17\/670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t + 3. Let j be (20\/(-12))\/(2\/(-6)). Suppose -k + 5*g = 27, -6*g = j*k - 2*g - 10. Let v(s) = 17*s - 13. Determine k*v(d) - 9*a(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7604 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -3*l + 0 + 1\/18*l**4 - 1\/3*l**3 + 0*l**2. Suppose b(q) = 0. Calculate q.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**2*z**3 + 7*j**2*z + 6501*j**2 + 4072*z**3 wrt z?\nAnswer: -24*j**2*z + 24432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 153106 or 153022?\nAnswer: 153022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 4, x: 1, c: 1, t: 1}. Give prob of sequence xz.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 574 - -1c46a?\nAnswer: 1ca00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.3 and -908244.\nAnswer: -908235.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9742919?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 2058.\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 3:23 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -175*d**4*u + 3*d**2*u + d*u - 1195*u wrt d.\nAnswer: -2100*d**2*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104412 plus 0.2?\nAnswer: 104412.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/5 + (-6)\/15. Let k be (-10)\/(-75) + 96\/(-45). What is the tens digit of 30\/(z*(-4)\/k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - 2a41?\nAnswer: -2a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -24 (c) -1\/94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558231149?\nAnswer: 7, 2099, 37993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*2 - (-4 - -6). Let v be l\/(4\/((-8)\/6)). Let o be 1 - 0 - (-170)\/(-190). Which is greater: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 2*q**3 - 7*q**2 + 7*q. Differentiate m(r) with respect to r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (24 + -11 - 12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31216, 61986, 92758, 123532, 154308, 185086, 215866?\nAnswer: 246648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -539*q**2 - 16*q - 9. Let d(u) = 179*u**2 + 6*u + 3. What is 8*d(a) + 3*r(a)?\nAnswer: -185*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 2, -1 in ascending order.\nAnswer: -1, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.19, 5, 7\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 25\/(-4) + 1\/4. Let g(a) = -2*a + 12. Is g(j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(275)*2 - (5 + -1 + sqrt(275)).\nAnswer: -5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37410*s - 2 + 0 + 12461*s + 12471*s + 2 + 12484*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6780906 divided by -98274.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c0a9c (base 14) in base 6?\nAnswer: 112301414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 70*g**2 - 38*g + 70. What is the tens digit of f(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 5 - 15. Suppose -2*h = 5*z - 20, -3*z = -m*z + 5*h + 8. Factor -2*p**4 - 5*p**5 - p - 3*p**2 + 5*p**4 + 3*p + z*p**5 - p**3.\nAnswer: -p*(p - 2)*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/4)*w\/w**(-3\/2)*(w\/(w**(-5)\/w))\/w**7 assuming w is positive.\nAnswer: w**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**5 + 26199*j**4 + 57212064*j**3 + 57185868*j**2.\nAnswer: 3*j**2*(j + 1)*(j + 4366)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 73*d**2 + 1013*d - 73946. Calculate k(73).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 60?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1469032 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3653855775 to two decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*y + 6*x + 27, 19 = y - 3*x. Suppose -y*k + 5*k - 4 = 0. Suppose -5*t - 129 = -k*r + 90, -2*t - 108 = -2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2123000 and 12738000?\nAnswer: 12738000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 2. Let k = 239 + -236. Let z = -5 + 5. Suppose -4*m = -k*m - a + 2, z = -4*m + 2*a. What is s(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in -1\/2, -1.5, 0.0444?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-138)\/(-4))\/(15\/(-20)). Is (-5 - a) + -2 + -1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1457954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/2232 and 61\/73832328.\nAnswer: 73832328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-20)\/7 - 1. Let a(h) = -5*h**2 + 3*h + 13. Let j be a(2). Which is bigger: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 2*k - 6. Let m be s(-2). Which is bigger: -5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 5 + 13 = 0. Let i(k) be the first derivative of -2\/7*k - 1\/7*k**4 + 2 + 0*k**l + 2\/7*k**2 + 2\/35*k**5. Determine g so that i(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-3\/4)\/k*k)\/k*k**7)\/(k\/k**2*k)**(3\/7))**(-10\/3) assuming k is positive.\nAnswer: k**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 0 + 2 + 5 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*f**4*g**3 + 122852*f**4*g - 662*g**3 + 30*g**2 wrt f?\nAnswer: -68*f**3*g**3 + 491408*f**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, e: 2, w: 2}. Give prob of picking 1 m, 1 e, and 1 w.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 + 1.0357.\nAnswer: -21.9643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - 3\/(-2). Let w = l + -2. Find the first derivative of c + w - 2 + c wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 2*w**2 + 2*w**2)*(-2*w - w + 5*w) + 16*w**3 - 13*w**3 + 8*w**3 + (-57*w + 57*w - 39*w**2)*(3*w + 0*w - 5*w).\nAnswer: 93*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1125 and 27.\nAnswer: 3375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 799356 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + -62. Let g = 55 + s. Sort -1, 1, g in decreasing order.\nAnswer: 1, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 509 - 501. Let l = 33 + -29. Suppose a = -4, l*y - 19 = -y + a. Solve -y*h + v*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53419\/18370 - 48\/1837. Let q = 9\/110 - y. Which is greater: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -191347\/54024 + 1\/4502. Calculate the common denominator of n and (-382)\/156 + (-1)\/(-2).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + 1 + -884 + 882 - (-8 + 25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 15 = -3*n. Suppose 9 + 4 = 2*k - 5*a, 4*k - n*a = 31. Let c = -2 + k. Calculate the remainder when 19 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/9 + 6196*s**4\/9 - 43304*s**3\/9 + 30916*s**2\/3 - 6182*s = 0.\nAnswer: 0, 1, 3, 3091","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -219, -230, -249, -282, -335?\n\"Answer: -t**3 + 2*t**2 - 10*t - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {b: 2, p: 2, v: 6, f: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1173*d - 2835 + 2637*d - 129*d - 139*d wrt d?\nAnswer: 3542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.04 or 3\/22?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3 + 5*z + 12 - 4*z - 8 + 3*z**2. Let w = 4 - 1. Suppose 4 - 7 = w*b. Calculate m(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16 - -13)*(-76)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179 + 344. Which is greater: 164 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 49*p = -22774. List the prime factors of p.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 - 2*s - 2. What is the remainder when (-1 + -2)\/((-14)\/238) is divided by b(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -24 + 3 - 60*f**2 + 61*f**2 + 5*f. What is the units digit of t(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/15)\/((-107)\/((-50076)\/(-208))). Find x, given that 0 - 9\/5*x**3 + 3\/5*x**4 - m*x + 9\/5*x**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*-2*(4*sqrt(1053) + sqrt(1053))*6.\nAnswer: -1 + 1620*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 5*m**2 - 5*m - 5. Determine d(8).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4339705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 - 59*n**2\/2 + 420*n + 450.\nAnswer: (n - 30)**2*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 355715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 6*l - 118. Let g = l - 116. What is the greatest common factor of g and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 10*l**2 - 4. Let v be h(10). Let s be (-88)\/(-14) + (-2)\/7. Suppose 0 = -5*b + 5*k - 30, 3*b = 7*b + 2*k + s. Is b greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366272170083826 plus 5?\nAnswer: 1366272170083831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*s + m - 11 - 7, -m + 23 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3666, 29549, 99858, 236805, 462602, 799461?\nAnswer: 1269594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**3 - 2*k**2 - k + 20. Let c be a(4). Let j be 192\/c - (-302)\/210. Is j >= 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/8 or -331148?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 32 (b) -0.3 (c) 4293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*s - 32363 - 219 = 1250*s + 16663 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -109480 times -176?\nAnswer: 19268480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 2*k**2 - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.156 minus 0.1?\nAnswer: -95.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*j - 3, -6*j + 5 = -5*j + 5*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60589185*d - 76853205.\nAnswer: -60589185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -9. Let n be 9\/(-3) + m + 4. Put 0, 2, n in decreasing order.\nAnswer: n, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -11\/31?\nAnswer: -11\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -8) + -1 - 20. Let n be b\/6 + 3\/(-18). Let q(r) = -2*r - 6. Let v be q(n). Is -5\/6 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 146584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -805\/5266 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 + -107. Solve -u + 2*c = 5, -m*u - 2*c + 11 = c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2 + 22196*u - 2028117 = 0. Calculate u.\nAnswer: -22287, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -16*k**3 + k**2 + 13. Let d(v) = -4*v**3 + 3. Let a(m) = 9*d(m) - 2*y(m). Let g be -1*5 - (-5 + 3). Let t be 3 + 0 + g + 1. Determine a(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44.0393 + 44. Let c = -0.2393 - a. Sort -0.05, c, 2, 0.1 in decreasing order.\nAnswer: 2, 0.1, -0.05, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-15) + 17*(-1179)\/5805 + 3. Is d >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43925?\nAnswer: 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 630?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -51067958.\nAnswer: 7\/25533979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*t + 593 = 0, -t = o + 3*t - 143. Let m = 149 - o. Solve -i - 9 = m*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 7*s**2 + 6*s + 152. What is z(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/((-736)\/138))\/((-12)\/80*-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*a - 45, -k + 20*a - 23*a = -9. What is the least common multiple of k and 51?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.34724752 rounded to two decimal places?\nAnswer: -123.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7\/(-2) + 3)\/(5\/(-2380)). Suppose 3*t + p = 5*x, -3*x + t + 146 = -0*t. What is the least common multiple of 40 and x?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2\/4 - 177*r\/4 + 35\/2.\nAnswer: (r - 35)*(5*r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6432, 6429, 6416, 6393, 6360, 6317?\nAnswer: 6264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1179 - -1190. Solve -s*g = 37 - 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-114)\/(-60) + 6\/(-4). What is the closest to o in 1\/5, 2, 2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 5*v - 14, x - 114 + 118 = -v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 - 58*d**2 + 242084*d - 242084*d + 12*d**2.\nAnswer: -8*d**3 - 46*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-57 - -54)*55\/30*4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8464, -2331, 7900, 22235, 40680, 63241?\n\"Answer: b**3 + 2043*b**2 - 3*b - 10505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-17 + (32 + -9 - -45)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/384 and -76\/225.\nAnswer: 28800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 233, 260, 271, 260, 221?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 - 32\/(-12). Let r(x) = 3 - 2 + 3*x - 2*x**t + x**3 + 3*x**2. List the prime factors of r(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 496\/(-244) - -1 - -1. Suppose -2*a + 16*a = -14. Is d > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 0*u**2 - 3*u**2 + 497 - 495. Let a(d) = -16*d**2 + 11. Let q be (-5)\/(-15)*((-3)\/(-9) - (-591)\/9). What is q*i(b) - 4*a(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + 7 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -158.2 * 83\nAnswer: -13130.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9660093l to millilitres.\nAnswer: 966.0093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 826 divided by 14\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362, -354, -346, -338, -330, -322?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 28*m. Let o = -16971 + 16974. Let c(r) be the third derivative of -1\/12*r**4 + 32*r**2 + 0 + 0*r + 0*r**o. Calculate c(t(x)).\nAnswer: -56*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.004 - 0.054. Let f = p + 0.05. Let g = 0.421 - 0.021. What is the third biggest value in g, 3, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4.93 (b) -1\/4 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7898 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**4 - 565*u**3 - 11300*u**2 + 110220*u + 3049200 = 0.\nAnswer: -84, -22, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 4, p: 1, y: 1, u: 4}. Give prob of picking 1 y, 1 t, and 2 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 85 + 35. Suppose -3*f + 13822 = -2*m + m, 3*m = x. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1793 and 101289015?\nAnswer: 1114179165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 317.3 - 317. What is the nearest to 4\/7 in 8, -5, o, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7008592 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5663643 (base 8) in base 11?\nAnswer: -958458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:47 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/5*1 + 5312\/40. Let o = 32 - 13. Calculate the greatest common divisor of o and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -20*-2*(0 + 2). Suppose -q - 4*r + c = 3*q, -4*q + 84 = 5*r. Let h = q - 5. Calculate the remainder when 20 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**4\/12 + 11*w**2. Let p(n) = -16*n**2. What is r(p(t))?\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60436114.93 + -0.007.\nAnswer: -60436114.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.3 + 23.7. Let z = t - 42. Is z at least 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -353732 to the nearest 1000.\nAnswer: -354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -534 + 525 + 1 + -1 + -7.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**3 - q**2 + q**2 + (-3*q**2 - q**3 + 3*q**2)*(-2 + 1 + 0) - 15*q**2 + 15*q**2 + 5*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7266, -15276, -23286?\nAnswer: -31296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7796 (b) 0.2 (c) 1\/10 (d) 0 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22.76 in -3, -1\/4, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -59*c**2 + 6*c - 1. Let p(q) = -235*q**2 + 22*q - 4. Determine -6*p(j) + 22*s(j).\nAnswer: 112*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 442?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -74, -107, -140, -167, -182, -179?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2 + 6*(2 + sqrt(2736)) - (sqrt(2736) + -3*-1*sqrt(2736))*-6))**2.\nAnswer: 9360*sqrt(19) + 2462569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -2*i**3\/9 + 61*i**2\/3 + 584*i + 789. Factor d(w).\nAnswer: -2*(w - 73)*(w + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47814.75 litres to millilitres.\nAnswer: 47814750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.22 - 3.78. Let s = 214\/663 - 8\/39. Which is the nearest to 0.1? (a) 0.2 (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17705121.8 rounded to the nearest 1000?\nAnswer: -17705000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2104.454499 - -0.78\nAnswer: -2103.674499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**4 + 5*q**4 - 4*q**4 + (0*q + 0*q - 7 - q**2)*(178*q - 178*q + 7*q**2) in the form w*q + d*q**2 + s + z*q**4 + u*q**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*s = -70, 5*s - 27 = -w - 1. Let p(i) = -i**3 + 13*i**2 - 6*i + 2. Let h be p(w). What is the units digit of (3 - (1 - -3))\/((-2)\/h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0043 rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2960 = l - 3*q - 3855, q = 3*l - 20405. What is l rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/12*6*10\/190\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471661 - 180584 + 1869760 = 37*z. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, e: 6}. Give prob of sequence gg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -8327?\nAnswer: 8325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 602 - 559?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 - 3\/(-4). Let d = -86 - -86.4. Let s = -8 - -10. Which is the closest to t? (a) s (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/15*(-1333 + -22) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, k: 2, b: 3}. Give prob of picking 2 k and 1 b.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.745848 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 597891901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2*z - 2*z)*(1 + 353*z + 15*z**2 - 355*z - z**2).\nAnswer: -14*z**3 + 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 234825911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.22 - -0.17. What is the closest to 0 in 0.1, 0.7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 53963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -277*o + 273*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 19482*o + 77960.\nAnswer: -2*(o - 9745)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5043817, -5043821, -5043825, -5043829?\nAnswer: -5043833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.63 + -2.63. Suppose -8*j + 9*j = 39. Let p = -42 + j. What is the second smallest value in p, 1, n, 0.9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 435 = -t, -2*b - 304 = -t + 145. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267965887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/150*(3 + -12 - -4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 296*b. Suppose 50 = 46*h - 116 + 28. Let n(o) = -33*o. Calculate h*t(k) + 28*n(k).\nAnswer: -36*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 6. Let m be x(5). Let j be (0 + m + 0)*-21. Suppose -22*a = -j*a + 2. Let c(n) = 2*n**3 + 3*n**2. Give c(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 + 3574*l + 3586*l - 7140*l)*(-2*l**2 - l**2 + 0*l**2).\nAnswer: -60*l**3 - 255*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3980 divided by -1.\nAnswer: 3980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12312*r - 1366618. Determine y(111).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1672103 is divided by 888.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 9*i - 33 = 0, -3*l + 2*i + 36 = 3*i + 27 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/161392 and -53\/73360.\nAnswer: 806960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 4:53 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 591 - 591. Let m(o) be the second derivative of 2*o + 0*o**2 + 0 + 1\/30*o**3 + x*o**4 - 1\/100*o**5. Factor m(w).\nAnswer: -w*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-432)\/(-80) - (-3)\/5. Suppose -4*s = -2*p + b*p - 348, 3*p = -2*s + 177. Calculate the highest common divisor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59082, 118165, 177248?\nAnswer: 236331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8139691 a multiple of 397?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 219*c - 21585. What is f(79)?\nAnswer: -4284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 + 39*h**2 + 18*h + 37. Does 5 divide f(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 29*h**2 - 199*h - 13. Calculate y(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 divided by -6?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8348650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -3bc?\nAnswer: 3bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3*q - 60 = 0. Let l(t) = -q*t - 55433 + 55433. Let z(u) = -4*u**2. Give z(l(n)).\nAnswer: -900*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 + 376 = 3*d + k, 5*d - 400 = 5*k. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/563390 and 37\/27638?\nAnswer: 7324070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/38 + ((-480)\/(-76))\/3. Suppose 0 = 4*g - r*i - 102, -g + 4*i + 8 = -7. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5715)\/(-6))\/15*6. Suppose 0 = -4*u + y - 141. Calculate the highest common factor of 48 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 277 and -6900.\nAnswer: -1911300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from {s: 4, m: 1, u: 1, p: 12, w: 1, e: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.217156.\nAnswer: -0.0217156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -811 plus 2418?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to 392\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 626517860 to the nearest integer?\nAnswer: 25030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**4\/3 - 86*m**3\/3 + 668*m**2\/3 - 1576*m\/3 + 400 = 0. Calculate m.\nAnswer: -50, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighteenths of a week in minutes?\nAnswer: 3920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 252712426 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -1\/2*j**4 + 0*j**3 - 11*j + 3\/2*j**2 + 0. Find the first derivative of s(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + (-69)\/(-15))\/((-14454)\/(-2190)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -262 times -4258.9\nAnswer: 1115831.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6024 to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 4*j**2 + 8*j + 3. Let i be l(-6). Let t = -16 + i. Calculate the lowest common multiple of t and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34464, 34456, 34438, 34404, 34348, 34264, 34146?\nAnswer: 33988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5 + 21600*z**4 + 38901594*z**3 + 77738400*z**2 + 38858403*z.\nAnswer: 3*z*(z + 1)**2*(z + 3599)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -16*x - 232. Let w(c) = -49*c - 714. Let k(o) = 7*q(o) - 2*w(o). What is k(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -62. Suppose -c - 124 = 4*p, -4*p = -0*c - 3*c - 420. Let t = -26 - c. What is the highest common factor of k and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*n + 81 + 86 = 31 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**4\/14 + 416*y**3\/63 - 92*y**2\/21 + 4352*y. Find w such that m(w) = 0.\nAnswer: 2\/9, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20581\/6 + 3453. Calculate the common denominator of 8\/41 and n.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*g + 38 = 3*z, 5*z = -3*g + 64. Differentiate 0*a**3 - z*a - 16 - 2*a**3 + 3*a wrt a.\nAnswer: -6*a**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 - 6*t**2 - t. Let b be h(0). Let l be (1 - 2)\/(1\/(-5)). Sort 1\/8, b, 2, l in descending order.\nAnswer: l, 2, 1\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 822 - 388. Suppose -4*y = w + 430, -w + z = -0*y - 4*y. Let q = -25 - y. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005792335 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 856.\nAnswer: -1\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4671 and 197393?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 + 96. Calculate the smallest common multiple of j and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/22)\/((-40)\/120). Put o, 5, 2\/13 in increasing order.\nAnswer: o, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -13. Suppose -3*r + 7*r = f*x - 26, 2*r + 22 = -2*x. Let c = -5 - r. Solve c*o - 3*v = 0, 4*o - 9*v = -4*v - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 390?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.8 and 5992.1.\nAnswer: -22769.98","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 - 938\/(-9). Suppose -2*q = -374 + h. Let g = q + -82. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hsshszahhszsz. What is prob of sequence sha?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.17 + -0.2. Let q = 0.17 - k. Let h = -3360 + 3351. Which is greater: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 137, 405, 895, 1673, 2805, 4357?\nAnswer: 6395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one sixths of a century?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -21, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 7*p - 200. Does 30 divide m(40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 1, z: 2, s: 2, o: 1}. What is prob of sequence sz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-10 - -1) + (48 - 26).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42*w**2 + 30*w**2 + 136*w**2 - 58*w**5 wrt w.\nAnswer: -3480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -2\/3*s**3 + 36*s - 131 - 15\/2*s**2 + 1\/4*s**4. Let v(a) = 0. What is a?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46840 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -11. Suppose 262 = -4*i + 90. Find the common denominator of (0 - c) + i\/(-8) and -63\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(0 - (3 + -2)). Let n(a) be the first derivative of 2*a**3\/3 - 4*a**2 - 3*a - 10. Is n(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 189521295 to the nearest ten thousand.\nAnswer: 189520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2 - 2*o + 34. Let w be f(-14). Suppose -5*h - 4*k + w = 0, 27*h + 2*k + 734 = 30*h. What is the remainder when h is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 83992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8419 - 32. What are the prime factors of f?\nAnswer: 8387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/6*(-145893)\/(-8842).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4104313399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(52)\/sqrt(4)*-4 - sqrt(1053)*2) - (-2 + (-4*-4*sqrt(208))**2))*-3 + -1.\nAnswer: 66*sqrt(13) + 159737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 1 + (sqrt(33)\/sqrt(3) + 3)**2)*4 - 2*(4 + 2*sqrt(1584) - sqrt(1584)).\nAnswer: 8*sqrt(11) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.98 - -1.08. What is the nearest to -1 in 1\/5, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-10 + -19 + -12).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/3*w**2 + 0 - 4\/3*w.\nAnswer: 2*w*(11*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17254*a + 6 - 6.\nAnswer: -17254*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 435. Let p = q + -45. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from essesssesees. What is prob of sequence ssee?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 132 = f. Let c = f + -18. Calculate the remainder when 11 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -329\/1440 + 1\/160. Which is the closest to 9\/5? (a) r (b) 3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*m + 9 - 81. Which is the fourth biggest value? (a) -2\/5 (b) 5 (c) 2 (d) -4.6 (e) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4 = r, -5*r + 5*a = -10*r - 40 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 56. Let u = 28 - h. Put -4, 0, u in increasing order.\nAnswer: u, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -946852.061 to the nearest 10000.\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)*-2*-1 + sqrt(40) + (sqrt(120)*2)\/sqrt(3))\/(((sqrt(8) - sqrt(392))*-5 - sqrt(8))*-4).\nAnswer: -5*sqrt(5)\/116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 5*k**2\/2 + k + 1. Give i(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 13*o**3\/3 - 35*o - 24. Differentiate q(d) with respect to d.\nAnswer: 26*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19984 + -19998.1. Let w be (-4)\/(-10)*(-1)\/2. What is the third smallest value in -0.4, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 q when three letters picked without replacement from nqqnnnnqnnn.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 41*v - 7865 = -8177 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 3*m + 1980. Suppose -4*i + m = -g, 2*g = 5*i - g - 502. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -126 - 37*o**3 - 381*o - 108*o**3 - 4*o**4 + o**4 + 13*o**3 - 387*o**2 - 3*o**3.\nAnswer: -3*(o + 1)**3*(o + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**2\/5 - 5028*y\/5 + 715728\/5.\nAnswer: -6*(y - 124)*(y + 962)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -11. Suppose 6 = -m + 4*k, -j*m + m + 3*k - 3 = 0. What is the greatest common divisor of 66 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 4, -1\/29, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(2*p - 2*p - 2*p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g - 3*g**2 + 4*g**2 - 2*g. Is 9 a factor of w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**4\/24 - 7*a**3\/6 + 8*a**2. Let f be s(9). Is 10\/(-20)*(f + -780) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o - 4*q + 402 = 0, 1182 = 3*o + 4*q. Calculate the highest common divisor of 130 and o.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgghw. Give prob of picking 1 w and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 9*l + 3. What is t(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -3, 16, -301 in ascending order.\nAnswer: -301, -3, 16, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-24)\/(-14)*6426\/36 and 459.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 6:40 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 72.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 78, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6774 divided by -6\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 12 - (4 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 8*q - 15. What is s(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + ((sqrt(1300)*3)**2 - sqrt(13)) - ((sqrt(1053)*-3 + 0)**2 + -3).\nAnswer: -sqrt(13) + 2232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7493.809 weeks to days.\nAnswer: 52456.663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2\/17, 167604?\nAnswer: 167604","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.099693 to 3 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*f - 1659 + 1659)*(f - f - 2*f).\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(27)\/sqrt(3)) - (sqrt(19) + 0)*4.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 39287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -4)*8\/(-12). Let f = -20 + 20. Which is the second biggest value? (a) f (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 - ((-699)\/21 + 3). Let z = j + -24. What is the lowest common multiple of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 48*o**2 - 394*o - 295. Determine k(10).\nAnswer: 565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -1) + (-5 - -7) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.56 + 0.16. Let a(y) = 19*y + 61. Let r be -9 - -2 - (-4)\/1. Let n be a(r). Sort b, 3, -4, n in increasing order.\nAnswer: -4, b, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -103903 (c) 2\/9 (d) 0.4 (e) 5 (f) -2 (g) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2517 (base 8) in base 3?\nAnswer: 1212100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 8*r - r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - 0.14. Let v be 2 + 2\/((-4)\/3). What is the nearest to o in -6\/5, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*sqrt(540) - sqrt(240)\/(sqrt(4) - sqrt(16)))\/((sqrt(84)*1)\/sqrt(7) + (1*sqrt(12) + sqrt(12))*3)*-1.\nAnswer: 114*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 10*j - 10. Let h be d(-7). Let a = h + -9. Solve 0 = -a*k - 5*u - 17, -4*k - 13 = 2*u + u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -125.19 + -1.81. Let h = p - -129. What is the third biggest value in 1\/3, -28, -3\/4, h?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 896 and 397992.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h**2 + 149*h + 13. What is v(-4)?\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 480 divided by -20\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1 = -5*m - 2*z, -2*m + 3*z = -21. Let s(b) = 100*b**2 - b - 1. Let l be s(-1). Suppose -m*k - 28 + l = 0. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*w + 19*w = 16 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than -43969351?\nAnswer: -43969350.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/273 and 17\/35.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-16*15\/180)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -431 + 436. Which is the closest to 3? (a) 3 (b) s (c) 2\/17 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 470770*j**3 - 36938654118*j**2 - 966253607217846*j - 7727665024905264.\nAnswer: -2*(j + 8)*(j + 78459)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10676*m**4\/19 + 37374*m**3\/19 + 74704*m**2\/19 + 26634*m\/19 - 20\/19 = 0. Calculate m.\nAnswer: -1, -1\/2, 2\/2669, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 7:03 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**16*k**(-9\/4)*k*(k**4)**48 assuming k is positive.\nAnswer: k**(703\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x - 4. Let r be f(-3). Solve -3*z - 10 = 2, 3*y + 5*z + r = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*z + 13 = 0, 4*z = 4*d - 3*d - 32 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168143986.\nAnswer: 2, 3, 67, 5393393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.00017 times 2\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21095652?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 44 (b) 12 (c) 8\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 2. Let t(v) = 2*v + 6. Let m(j) = -11*f(j) - 4*t(j). What is the first derivative of m(d) wrt d?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvvx when four letters picked without replacement from {u: 1, x: 2, v: 2, m: 1, r: 8}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, 1, -2, 17 in ascending order.\nAnswer: -2, 1, 4, 13, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29801397539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a + 22 = -p, -5*p = -3*a. Suppose a*h - 15 = -4*z + 12, h + z = 6. Let t = h + 6. Calculate the lowest common multiple of 2 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, n: 1, e: 2, i: 5, k: 3, j: 8}. What is prob of sequence nje?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 716 + 874 = 0. Is r a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 9 + 4 + 6*r to z*r + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 - -43\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6161527 (base 8) to base 3.\nAnswer: -10001212101202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6961583, 6, 5 in descending order.\nAnswer: 6, 5, -6961583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*m - 9*m**4 - 5*m + 10*m**4 + m**4 + 0*m**4 - 2*m**4 + (4*m - 4*m - 2*m)*(m**3 - 2*m**2 + 2*m**2) to s*m**3 + c*m**4 + w*m + p + a*m**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/21 - (31\/7 + -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 4*t + 4*t + (8 + 18*t - 8)*(t + 0*t + 0*t) to c*t + m + k*t**2 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175831432.\nAnswer: 2, 7, 3139847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 1\/4, 1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 585?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 b when four letters picked without replacement from xxxzxxzzxzbbxx.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1358*k + 12901. Determine d(-10).\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*8\/(-4) + (-12)\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**3 - 3*w**2 + 2*w - 4. Let f be y(2). Let 19*q**3 + 122*q**2 + 167*q + 93*q**2 - 47*q + 35*q**4 + 131*q**3 + f = 0. Calculate q.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and -14231338798.\nAnswer: -14231338797.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177 - 44 - 4 = -45*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 1)*-3*(-255)\/(-675)*-6\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(-3*v + 3*v - v)*(-5*v**2 + 226 - 226).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86295 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-2) - 2520\/(-140). Suppose 5 = -m - 5*p, 5*m - 2*p + 25 = -0*p. What is the fourth biggest value in m, i, -0.3, 2\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 113 - 50 - 48 - 50 - 5*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71767 + 215302\/3. What is g in -1\/3*g**2 + d*g + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 27*w**2 - 24*w + 64. Let p be k(-26). Let m be p\/(-3 + 5) - 6. Solve -2*i - i = m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -591*k = 188*k + 6946 + 35899 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 - 336*r + 100 + 668*r - 38 - 332*r.\nAnswer: -r**3 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.1 + -10. Let a = 0.3 - -0.7. Let y = -1.1 + a. What is the nearest to m in -0.2, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000100100 (base 2) in base 4?\nAnswer: 2300210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10628 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 15 = -k. What are the prime factors of 21\/(60\/(-25) + k)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(176) - (sqrt(99) + 1 - sqrt(99)))*4*3.\nAnswer: -12 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.4? (a) -4 (b) 9 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*p + 3*x - 14, p + 9*x = 58. Solve 5*n = 5*v, p*n + 6 = 8*n - 2*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 9. Let p = j + 56. Let t be (0 - 3)\/((-5)\/70). Calculate the greatest common factor of p and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73)\/(-600) - 21\/504.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i - 225 = 24*i. Let a = i + -71. Suppose -29 = -a*b + 11. Calculate the greatest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-150))\/(8\/50).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from {i: 5, r: 2, d: 1, q: 3, l: 8}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -14*n**2 - 141*n - 199. Give u(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 710 + 49. Does 69 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82.142*-68.5.\nAnswer: 5626.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 - -46. Suppose 5*w + 5 = z - 26, h*z - 244 = -4*w. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/41754 and -29\/18.\nAnswer: 125262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 9. Let k be (-6)\/(-8)*6*(3 + -1). What is the closest to u in 0.1, k, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, m: 1, s: 1, n: 7}. What is prob of picking 1 m and 1 n?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13523 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -7 + 10 + -12 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1095 and 281050.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = -5*f + 4 - 84, 4*n - 177*f + 173*f = 36 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-3 + 5 + -1). Solve 0 = -f - s*f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**2*h**(-2\/7)\/h)\/(h\/h**2)**(2\/5))\/((h\/((h**(1\/5)\/h)\/h*h))**5\/(h**(1\/6)\/h**(1\/4))) assuming h is positive.\nAnswer: h**(-4607\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 28*q - 183. Let f be z(-4). Let u = 160 - f. What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 209291757?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7934293 and 1.79.\nAnswer: 7934294.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.135 - -316.865. Let w = 316.99738 - t. Round w to four decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (115*q**3 - 5*q**3 - 36*q**3)*(-24 + 43 + 2*q - 20) to f*q**4 + v + h*q**3 + j*q + u*q**2 and give f.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 306291 to the nearest ten thousand.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*r = -7*r + 10, 3 = 3*x + 4*r. Suppose u + 2*d + 2 = 0, x*d + 0*d = 10. Let c(z) = -z**3 - 5*z**2 + 6*z + 5. Determine c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -948, -1897, -2830, -3741, -4624, -5473, -6282, -7045?\n\"Answer: l**3 + 2*l**2 - 962*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24\/29 - -1186\/319. Suppose -2*x + 8 = -0*x. What is the common denominator of j and ((-534)\/(-24))\/(2\/x)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-14 + (-191)\/(-4) + -18*4\/(-32))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*a + 5. What is the greatest common factor of a and 2648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -72*i**2 - 8*i. Let z be t(6). What is the tens digit of z\/(-36) - (-2)\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 53*v**5\/2 + 1396*v**3\/3 - 338*v - 1. Find the second derivative of x(u) wrt u.\nAnswer: 3180*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/13 (b) -5\/3 (c) -0.5 (d) 0 (e) 4\/55\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*j + 2*j**2 - 2*j**2 + 163 + 3*j**3.\nAnswer: 3*j**3 - 38*j + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Let j = 312.4 + -312. Let v = -415 - -381. What is the third smallest value in h, j, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m\/m**(2\/5)))**(19\/7)\/(m**8*m*m\/(m\/(m**6\/m*m))*m*m*m)*(m*m\/(((m\/m**(-2))\/m)\/m)*m)**(4\/7)*m\/(m\/(m*m**(-5)))*m**(1\/12) assuming m is positive.\nAnswer: m**(-8269\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -236*v - 5. Let j = -49 - -47. What is the hundreds digit of g(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1240303.\nAnswer: 1\/1240303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/4 and (-165)\/(-4)*(-12)\/1098?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*j + 388 = 0, 5*d + j = 50 + 574. Calculate the highest common divisor of 2852 and d.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18984815 * -5\nAnswer: -0.94924075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 834394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**2 - 6*u + 7. Let v be z(-3). Let m(w) = -3*w - 3. Give m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(35)\/sqrt(7) + -4*(sqrt(245) - sqrt(5)).\nAnswer: -22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h + 0*h + 6*h + (6*h + 0*h - 4*h)*(5 - 1 - 3) + h - 2*h + 3*h + 4 - 2*h + h + 0*h - h - 2*h + 4*h in the form c*h + g and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-27) + (-2)\/9. Suppose y = 8*s + 3 - 67. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a4 + -1c8?\nAnswer: -58c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(9\/3) + (-8)\/7. Put -5, 1, a in descending order.\nAnswer: 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((273 + 421 - 92)*(1 - 1 + v) + 1 + 2*v - 1 + (4*v + 2*v - 5*v)*(2 - 2 + 2))*(1 + 0 + 0).\nAnswer: 606*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * -4693342\nAnswer: -3285339.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -31. Let m(r) = 8. Let z(x) = -4*m(x) - t(x). Let n(g) = 5*g - 3. What is n(l) - 5*z(l)?\nAnswer: 5*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2061\/22003?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 92*z - 48*z = -u + 41*z + 77, -z + 49 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/207*21\/(-14)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7205986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 + 0.18. What is the smallest value in 4, -4, h, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -194 - -1738. Suppose x = g - 1511. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**19)*r)\/(r\/(r*r**13\/r))*(r*r**9)\/(r\/((r**6\/r)\/r*r)*r))**(-11\/4) assuming r is positive.\nAnswer: r**(-77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -121117\nAnswer: -1\/121117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -1 - (-57 - (5 - 61)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465446265 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, j: 8}. Give prob of sequence eee.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -12*b - 56. Let k be ((-2)\/(-4))\/(7\/b). Suppose k*z = 4*z - 66. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 7 (b) 2\/7 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, y: 15}. Give prob of picking 1 q and 1 y.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 - (-22 - -14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 847 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46015696 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - -8321) + (-6)\/(-1). Let x = t + -3394. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**5 + n**5 - 3*n**5 + 2*n**5 + 2*n**5 - 3*n**5 + (2*n - 2*n + 2*n)*(-5*n**4 + 16*n**4 - 6*n**4).\nAnswer: 13*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 13. Let p be l(8). Suppose -4*u = -21*u + 34. Solve -4*i + p*i + u = 3*d, -2 = -d + i for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 + 3. Let i(b) = -15*b**2 + 1. Determine i(z(r)).\nAnswer: -135*r**4 + 270*r**2 - 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 281056.7 kilometers?\nAnswer: 281056700000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 - v**2 + 10*v\/3.\nAnswer: -v*(v - 2)*(v + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21035652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10331\/6 + 1733. Let o = -23 - -39. Find the common denominator of o\/(-32) + -4*50\/12 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(4 + 0 - 1)*(-4*a**2 + a**2 + 2*a**2).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1231 + -684. Suppose 4*v - y + 475 = 0. Solve -v = -21*c + 15*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -5, -3\/4, -2, -2\/20471, 5 in ascending order.\nAnswer: -27, -5, -2, -3\/4, -2\/20471, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -4 (c) -64.39272\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.34548 - 2.34. What is c rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1350*a**3*i**3 - 2264*a**3*o**2 - 265*a**2*o**2 + 13*i**3*o**2 + 2*i**3 wrt a?\nAnswer: -8100*i**3 - 13584*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -20*p + 24. Let u = 14 + -8. Solve 12 = -p*i + u*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43.3285 nanoseconds?\nAnswer: 0.0000000433285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 34*t - 100. Let n be p(3). Let k be (-3 - 400\/(-136))*n. What is the third smallest value in k, 0, 2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.13 (b) -5\/41 (c) 2 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 655 and 4716?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**(2\/5))\/x*x**(-2\/21))\/((x**(-2\/3)\/x)\/x)**(4\/19) assuming x is positive.\nAnswer: x**(1241\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 559dd (base 16) to base 6\nAnswer: 11303313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haacaahkakhrahb. What is prob of sequence ch?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23904171, 23904172, 23904173, 23904174, 23904175?\n\"Answer: z + 23904170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/6158 and -99\/3898.\nAnswer: 12001942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34865 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (190\/(-6))\/((-742)\/6). Let v = w - 6\/53. Which is the nearest to -3? (a) v (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 605\/(-11)*1\/(4\/(44\/11)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 11*x + 17. Let u be f(12). Let b = u + -72. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*a - 80 = 97*a. Calculate the lowest common multiple of a and 55.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.056 - 2.356. Let y = -1.6 - b. Let i = 0.7056 - y. Round i to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 139 = 5*p, -4*p - 134 = -5*m + 110. What is the greatest common factor of 368 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-9\/4)\/(s**6*(s*s**(-5)*s)\/s)*((s**(-3))**(4\/5))**(-3) assuming s is positive.\nAnswer: s**(149\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-5)**2 + -1 + -5 + sqrt(27)\/(sqrt(90)\/sqrt(10))*6.\nAnswer: 6*sqrt(3) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.002 in 1.88, 0.1, -0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1049\nAnswer: 1\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 2*t + 4*i, -24*t + 13*i + 117 = -26*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/3 + 1369*d**2\/3 + 1854721*d\/3 + 1853351\/3 = 0. Calculate d.\nAnswer: -839, -1, 2209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 1:48 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8388)\/1395 - -6)*5?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -33*x**2 + 113. Let a(y) = 3*y - 2. Let s(c) = 3*c**2 + 6*c - 4. Let q(r) = 2*a(r) - s(r). Calculate j(q(d)).\nAnswer: 198*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4258 = -22*c + 1902. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17840449 and 1?\nAnswer: 17840449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -267.83042 + 261.83041788. Let h = i - -6. What is h rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1153*4\nAnswer: 4612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in decades?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - 1.887\nAnswer: -1.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2538\/3572*(-2)\/(-27)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/3)*t\/(t\/t**25))\/(t\/t**(-10\/7)*t**(1\/9)) assuming t is positive.\nAnswer: t**(1310\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-60)*18*1\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2222 = -4*w + 5*c - 257, -2*w = 4*c - 1002. Let u be 20\/(-50) + (-34)\/(-10). Suppose w = 3*q - 0*q + u*t, 0 = -4*q - 3*t + 658. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5\/4 + 14510*f**4 - 4448715*f**3\/4 + 26768560*f**2 - 191875840*f = 0. What is f?\nAnswer: 0, 13, 32, 11531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 198553 divided by 106?\nAnswer: 198553\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 594 + -286. Find the common denominator of (5\/((-40)\/j))\/(1\/1) and 15\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20760 = -224*q + 438*q + 305*q for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 9*f - 6. Let n(u) = -5*u + 3. Let g(j) = -6*j + 4. Let p(a) = 4*g(a) - 5*n(a). Let m(i) = 5*o(i) + 40*p(i). Suppose m(r) = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(2 + sqrt(1377))*4 + -4 + 1)*-4.\nAnswer: 78 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 506749301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v + 11. What is f(-11)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -898\/19 - -162373\/3534. Let q = m - -4\/3. Let f = q + -127\/186. Which is the third smallest value? (a) 0.5 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 29 = n - 0*u, -2*n - u - 58 = 0. List the prime factors of 498 + 0 - (-174)\/n.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 5)*(2 + 3 - 4)*(0 + 0 + 3*h)*(-1 - 1 + 0).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 22*y**2 + 21*y - 7. Let k be d(21). What is the common denominator of 36\/(-8)*(-8)\/k and 97\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137608 times 6962\nAnswer: -958026896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 - 25327353*f**3 - 3*f**6 + f**5 + 888*f**2 + 25327449*f**3 wrt f?\nAnswer: -360*f**3 + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7911309*x - 80 + 8*x**2 - 7911309*x)*(x**3 - 4*x**2 + 4*x**2).\nAnswer: 8*x**5 - 80*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8*4\/(-56))\/2*14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 9*v - 2. Suppose n + 5*a - 20 = 0, -29*n + 24*n + 40 = -5*a. Give g(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1670, 0.1, -7\/5 in ascending order.\nAnswer: -7\/5, 0.1, 2, 1670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26547b (base 12) to base 6.\nAnswer: -21311035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 3\/5 (b) -0.3 (c) -186 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -187\/9 and -0.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3423)\/2445*5*(-33)\/21.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*r**2 - 243719095*r + 243719095*r.\nAnswer: -85*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -3 + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzpzejpzpzzpgeez. Give prob of picking 1 z, 2 p, and 1 g.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 4*t - t)*(-3*t + 5*t + 0*t) - 239924*t + 3337*t**2 + 239924*t.\nAnswer: 3341*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13491 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/12 + 5*k**4\/36 - 18*k. Factor c(w).\nAnswer: -5*w**2*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4685575030.\nAnswer: 2, 5, 468557503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -13*f. Let i(v) be the second derivative of 7*v**3\/2 - 5*v - 3. Calculate q(i(j)).\nAnswer: -273*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 15*u**2. Let o(g) = 2*g**2 + 10 + 11 - 21. Determine o(c(j)).\nAnswer: 450*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/4, -1\/2, 173, -134, 5\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b98 + 2?\nAnswer: -3b96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15ab9a49 - 3?\nAnswer: -15ab9a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwfv when four letters picked without replacement from xfxfpxwxxpxpspwvfw.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 141.\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 168291 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/8*-18 + 3. Is y < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.184 - -0.084. Let i be (-2)\/(-8)*(-3)\/(-1). What is the smallest value in 4, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1569055?\nAnswer: 5, 109, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 3.98 and -1705 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1236, -1060, -880, -696?\n\"Answer: 2*g**2 + 170*g - 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -40. Suppose 6*t - s - 20 = 0. What is the closest to -1 in t, 3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.6818 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 3*q + 2*q - 6, 5*q = -3*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 404 in -1\/134, -298, -0.5, -4, -0.1, -2\/15?\nAnswer: -1\/134","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4 = 2*h, h + 50*y - 5 = 32*y + 15*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -12*r + 2100. Suppose 3*k + r = 13*k. Let i = -39 + k. Sort 2\/35, i, 2\/5 in descending order.\nAnswer: 2\/5, 2\/35, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, j: 4, a: 3, f: 6}. Give prob of sequence jq.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 11*b - 30. Give w(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u + 78. Calculate the lowest common multiple of 4 + -3 - -2 - -15 and t(12).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 258*t**2 + 3 + 8 + 259*t**2 - 18 - 414*t.\nAnswer: t**2 - 414*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - o = 2 + 2, -2*s - o = 3. Let r be ((-1 - -3) + s)*5. Suppose 445 = r*t - 0*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/226070?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*q + 93*q - 85 = 0. Let c(a) = -23*a - 87. Is 11 a factor of c(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.133*-3142.55\nAnswer: 417.95915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 419 * -5\nAnswer: -2095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/(-10) + 203928\/42485?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*i, -2*c + 2*i - 694 = -2948. List the prime factors of c.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 45 = 8*v. Suppose q + 126 = v*q. Which is the closest to 1? (a) -3 (b) -1\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 774*j = 805*j - 372 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 86 + -65 + -19\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 922176477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -203, -204, -205?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1561 * 0.079\nAnswer: -123.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007934 rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1258309*t**2 - 468231 wrt t?\nAnswer: -2516618*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/34*64\/(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 1)*(-63)\/(-9). What is the greatest common divisor of 28 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*l + 72*l = -69*l - 594 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/7))**(-23))**(-1\/2)*(l*l**(-4)*l**3)**7 assuming l is positive.\nAnswer: l**(69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-52)\/72) + 2\/12?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - -26. Sort -3, -2, -5, c in descending order.\nAnswer: c, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1700 = 2*w + 5*x, 0 = -x + 1. Let n = 137 + w. Calculate the greatest common factor of 56 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.5 (c) 4\/5 (d) -33.41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efj when three letters picked without replacement from {d: 1, f: 1, j: 4, e: 5, t: 3}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -8 - (14 - (-22 + 56)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2 - 28 = 0. Let p(r) = -18980*r**3 + 10*r**2 + 6*r - 4. Let x be p(b). Round x to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q - 9. Let r(h) = 9*h - 7. Give v(r(c)).\nAnswer: -36*c + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1217*b + 2 - 1974*b + 1082*b - 4 + 1 as z + c*b and give c.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 444544853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 114?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h + 32. Let y be f(6). Find the third derivative of -217*k**5 - k**2 + 7*k**y + 218*k**5 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(63)\/sqrt(9) + -2) - ((sqrt(14) - sqrt(126))*-1)\/sqrt(2)*-2.\nAnswer: -6*sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) -0.3 (b) -5 (c) 1\/4 (d) 11689 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.055, -4\/5, 5, 6?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223100213 (base 5) in base 3?\nAnswer: 1212011200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 15*j + 1 + 2 - 6.\nAnswer: -15*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/3750085 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -175*g - 9 - 191*g - g**2 + 377*g. Give u(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2807 + 2*q**2 + 5944 - 3001 + 138*q = 0.\nAnswer: -68, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1 + 1 + 0 + c. Let z(t) = 7*t. Determine x(z(s)).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 1. Let u(p) be the first derivative of 2*p**2 - 2*p + 15. Suppose -b = -3*s - 30, -2*s - 35*b + 40*b - 20 = 0. Give s*h(f) + 4*u(f).\nAnswer: -4*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-12))\/(2\/3). Suppose 6*w = -w. Solve w*u + u = l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2886776 and -3?\nAnswer: 2886773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 - x + 4. What is the tens digit of c(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*c + 5*w = -38*c - 22, 4*w = 5*c + 26 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 9*z**3 + 7*z**2 + 7*z + 11. Is q(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75435949 divided by -6\nAnswer: 75435949\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -2\/15*l**5 - 1\/60*l**6 + 19\/12*l**4 - 14\/3*l**3 + 11*l**2 + 0*l + 6. Factor m(f).\nAnswer: -2*(f - 2)*(f - 1)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 1. Let v be a(5). Suppose 5*k - 24 = -3*x, v*k - 8 = -x + 7*k. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -9*u**2 - 204. Let s(m) = -17*m. Give s(n(x)).\nAnswer: 306*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 109.7 - 103. Let q = -0.9 + 7.9. Let x = s - q. What is the third smallest value in 1, 1\/5, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -73*t. Let c(x) = -11*x + 6. Determine f(c(r)).\nAnswer: 803*r - 438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r + 11*r + 23. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(12 - (-11908)\/(-988))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 7*l + 2*l)*(l**2 - 3*l**2 + 3*l**2) + 2 - 2 + 3*l**3 + 8*l**3 + 0*l**3 - 2*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let b(s) = 139*s**2 + 22*s - 11. Let p(x) = -34*x**2 - 6*x + 3. Let a(i) = -6*b(i) - 22*p(i). Determine t(a(q)).\nAnswer: 86*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7 = -13. Let j = 5 + -3. Suppose -j*i + 30 = 8. Which is smaller: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(192))**2 + 4 + 3 + 0.\nAnswer: 16*sqrt(3) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from enendne.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 7*i**2 - 2*i - 5. Suppose -5*p + 8 + 22 = 0. Let s be j(p). Let o = 29 - s. What is the lowest common multiple of 4 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 68052.\nAnswer: 408312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 (base 13) in base 16?\nAnswer: -173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 2, 57, 36.7 in increasing order.\nAnswer: -2\/17, 2, 36.7, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 + 1\/4*s**4 - 3\/4*s**2 - 1\/4*s + 1\/4*s**3.\nAnswer: (s - 1)**2*(s + 1)*(s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**2 + 8*o - 1. Determine n(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 186 = 2*b + 17*n, -3*n - 372 = 4*b. Put 6, b, 3\/5 in ascending order.\nAnswer: b, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 0.1, -0.8, 2\/11, 0.07, 2\/15?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**(-1\/8)*r)*(r*r**(-3)\/r)\/r*(r**1)**(-1\/3)*r**(1\/3)*r*(r*r*r**(2\/3)*r*r)\/r*r*r*r*(r\/r**(1\/4))\/r*r*r**0 assuming r is positive.\nAnswer: r**(85\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ab3 + 5?\nAnswer: ab8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-190)\/(-171))\/((-70)\/(-42))*(-3)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13 - 154\/12 - 5230\/(-12)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 4*s**2 - 7*s - 5. Suppose -3*h = -5*k + 6 - 25, 8 = -4*h. Is 5 a factor of b(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723 a factor of 42525091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 210440036, 210440041, 210440048, 210440057, 210440068, 210440081, 210440096?\n\"Answer: q**2 + 2*q + 210440033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15 - 220*o - 4*o + 94*o + 18*o**2 + 27*o**2.\nAnswer: 5*(o - 3)*(9*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 204*k - 202*k - 818. Calculate the remainder when k is divided by 66.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -223 + 225. Let w(j) = -3*j + 4*j + 5*j + 5*j**u - j**3 - 5 - j + 2. Suppose 4*k + 6 - 48 = -5*y, -2*y + 18 = 2*k. Calculate w(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 1\/6, 0.3 in descending order.\nAnswer: 0.3, 1\/6, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -69*m**3 + 4*m**2 + 8*m + 84. Is 27 a factor of f(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + 35?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 6\/7, -110.4, 2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*x - 55, 0 = 3*l - 3*x - 14 - 19. Suppose 0 = -90*a + 28*a + 186. Solve -l = 4*u - a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3590528*d**2 - 52*d - 3590526*d**2 - 1 + 52*d + 1.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-548768)\/(-65478)*14\/48?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f + 12*f = -184 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 27 (b) -10 (c) 1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirteen quarters of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -861 * 1.65\nAnswer: -1420.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 228921 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**3\/3 - 5*y**2\/2 - 2*y + 2. Suppose -5*i + 5 = -15. What is the lowest common multiple of i and t(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -17) + (26 - (-2 - (-9 - -2))).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/4 + 5\/4. Which is greater: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, j: 1, e: 3, r: 2, n: 1, v: 1}. What is prob of sequence vd?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31701521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*t**3\/2 - 32*t**2 + 19343*t\/2 + 1075.\nAnswer: -(t - 43)*(t + 50)*(9*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5 - 4*t**4 + 12*t**3 + 8*t**2 - 26*t + 12 = 0. What is t?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*z - 7. Let i(k) = 3*k - 2 - k**2 - 4*k - z*k + 3*k. Give i(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 630366?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 8*m**2 + 7*m + 3. Suppose 22 = 5*f - 3*f. What is the remainder when d(4) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 8*b**2 - 3*b - 5. Let g(c) = -7*c + 6. Let o be g(4). Let u = 14 + o. Is v(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323026315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c6 + -6?\nAnswer: -9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1991 + 1534925781.1.\nAnswer: 1534927772.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 429 = 3*t + 2, -83 = y + 4*t. Let f = -99 - y. Solve -h + 0*h - f = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.005 + 11.865. Let m = 12.5 - r. Let q = -0.96 + m. Round q to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 4*o**5\/35 - 20*o**4\/7 + 148*o**3\/21 - 36*o**2\/7 + 441. Factor w(x).\nAnswer: 4*x*(x - 18)*(x - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7998 less than 4.849?\nAnswer: -7993.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*o**2 - 11*o**2 + 42*o**2)*(4 - 4 - o)*(9*o - o + 0*o) + 5*o + 0*o**4 - 4*o + o**4.\nAnswer: -95*o**4 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-20))\/((-419)\/1676)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 1615*c**2.\nAnswer: -5*c**2*(c - 323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhe when three letters picked without replacement from {m: 1, h: 1, r: 1, e: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 14\/(-1 - -3) + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**7\/1260 + 59*c**5\/60 - 2*c**2 - 66*c. Let d(g) be the third derivative of q(g). Give d(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + 3706?\nAnswer: 36cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/1*(-12)\/(-24). Let t be 1\/((-3)\/(-104)) + u\/3. Calculate the highest common divisor of t and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 124\/13? (a) 2 (b) -2\/9 (c) -2 (d) 3 (e) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, x: 2, e: 1, a: 2, f: 6, o: 5}. What is prob of picking 2 f, 1 o, and 1 r?\nAnswer: 75\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -742.5 + 743. What is the closest to 1 in 0.14, -0.3, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3\/20*(-8)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 464639 divided by 66377?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -124?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/6 + (-1)\/(-2). Let g(b) = b + 5. Let q be g(5). Solve -1 = f*h - q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 11*i + 7. Give n(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*u - 356*u + 176*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 43 = -133. Let p(j) = -4 - 2*j**3 + 0*j - 2*j + 7*j**2 - 2*j**3 + 3*j**3. What is the lowest common multiple of p(6) and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -401.989?\nAnswer: -401.989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*a - 28 = k, a = 3*k + 64. Let y be k\/35 - 260\/(-14). Let w(u) = -u + 12. Give w(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -258209713 - 166\nAnswer: -258209879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 + 6788178*r - 3839946713307 = 0. Calculate r.\nAnswer: 1131363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*8\/60 - 2046\/10. Let l = -207 - x. Let i be (-2)\/4 + 1\/2. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/330 + 77\/(-15). Let i be b\/(-2)*(9 - 7). Suppose i*c = 10*c - 160. Solve 5*u - 12 = -c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqe when three letters picked without replacement from {v: 3, y: 2, q: 1, c: 9, x: 2, e: 3}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 324?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6604163 kilometers to meters.\nAnswer: 660.4163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*l + 5 + 2*l**2 - 5 + 307*l + 13.\nAnswer: 2*l**2 + 354*l + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2607\/4 + -652. What is the third smallest value in 0.9, 1, -0.3, g?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.99 and -31.34703987329.\nAnswer: -32.33703987329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/1104 and -103\/276.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 1 = 2*z, -3*k = -3*z + 1 - 22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*24582.\nAnswer: 9832.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 7*g + 6. Let b be f(6). Suppose b = -5*x - 5, 0*t - 4*x = -3*t + 73. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14884?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 18, -0.14, 2, 0.09 in descending order.\nAnswer: 18, 3, 2, 0.09, 0, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 14 = -4*q. Suppose -2*k = 1 - 3, 0 = j + q*k - 28. Calculate the highest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1470, 1, 2\/11, 436, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216828 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22201 + -11200?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 6 + (0 - 7) - 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 21*q**2 - 25*q + 24. Let h be p(22). Is -42 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32151 - 192361\/6. Let m = x - 88. Find the common denominator of m and (((-1)\/(-5))\/(2\/(-1635)))\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11108 is divided by 1223?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31825 is divided by 218?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5221 + -4216. Is 98 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*j**3 - 73*j**3 + 221*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/6 + 23 - -3. Suppose -5*k = -s, -6*s - 4*k + j = -s. Let p(a) = -a**2 - 2*a - 2. Let i(d) = -d**2 - 5*d - 5. Give s*p(m) - 2*i(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 8:51 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6422*u**5 + u**4 + 25*u**2 + 1142*u.\nAnswer: 385320*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17525921*1.1\nAnswer: -19278513.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3, -29, -73, -135, -221, -337, -489, -683?\n\"Answer: -t**3 - 25*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + sqrt(1053) + sqrt(1053) + -2*sqrt(1053) + -4 + -1 + 2)**2 + 0.\nAnswer: -54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-4)\/(-28)*-2. Which is the smallest value? (a) v (b) -4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739718 is divided by 245956?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v. Suppose -10 = 2*g - 12. Let l(s) = s - 1. Let o(y) = -3*y - 6. Let m(z) = g*o(z) - 6*l(z). Give d(m(i)).\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.97 - 1.1. Let n = 0 + -0.03. Let l = q - n. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2 + 5 + 4*u + u**3 + 9*u**2 + 4*u**2 + 0*u**2 + 2. Let n(r) = -2*r + 16. Let z be n(11). Determine m(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7536390?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1590325 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3736 and 154577?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 2094608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i**2 + 3085*i + 21443. What is j(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139 and 49067.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -1\/3*p**3 + 0 - 27*p - 2*p**5 + 35\/2*p**2 + 0*p**4. What is the second derivative of y(m) wrt m?\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 3*i**9\/56 + i**5\/15 - i**4\/12 - 3*i**2 + 17*i. What is the third derivative of x(k) wrt k?\nAnswer: 3240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlc when three letters picked without replacement from {l: 1, w: 2, c: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = 39*q - 36*q - 38, s = 2*q - 48 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**4 - 27488*a**3 + 48927744*a**2 - 5776316928*a - 76408980480 = 0.\nAnswer: -12, 140, 3372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -u - 17, q + 3*q + 27 = -3*u. What is the common denominator of ((-1690)\/(-12))\/(-5) - q and -121\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -217. Suppose -925 = -2*x - j. Let w = 589 - x. Round w to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + (3 - (-2 - 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spsn when four letters picked without replacement from {n: 6, s: 3, p: 8}.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6679800 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -68. Suppose -x = -5*x + c. Suppose q = 3*f - 32, 5*q = -f + 19 + x. What is the lowest common multiple of f and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 148195290*j**2 - 1098092198909205*j.\nAnswer: -5*j*(j + 14819529)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 3. Let m be u(3). Suppose 5*y - 100 = -m*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 3 - 1 + 0)*(-2 + 2 + 2*a).\nAnswer: -8*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3584 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -23*r**2 - 139*r + 11. Calculate z(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -174620 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.24*-1.9495.\nAnswer: 0.46788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -18*i**3 - 10*i**2 - 19*i - 3. Let m be r(-13). Suppose 0 = -6*x + 9*x - m. Round x to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6177809 divided by -561619.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 20*r + 5. Let i be b(-6). Let f be i\/20*4\/(-1). Suppose -6*t - 4 = -4*t, 0 = 3*h + 5*t - f. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41522 (base 6) to base 14.\nAnswer: -2078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-19)\/((-17290)\/(-20)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25155.69kg to micrograms.\nAnswer: 25155690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(350))\/sqrt(10))\/(sqrt(700) + sqrt(700)*1))**2 + -4.\nAnswer: -79\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, o: 2}. What is prob of sequence oj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(3 - 2 + 2)*(-2*z - z + z)*(-z + 6*z + 6*z).\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 698 divided by 3?\nAnswer: 698\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 0.01 (c) -330 (d) 2\/5 (e) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 157403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a - 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 55. Suppose z*w - 2*w = w. Suppose -15 + 42*v**2 - 47*v**2 + 20*v + w*v = 0. What is v?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-78694)\/(-36) + (-3 - -1). Let r = f - 2182. Find the common denominator of (-2)\/28*(53 + -2) and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -18\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 5. Let a = -14.26 - -0.26. Let k = -13.5 - a. What is the third smallest value in 1\/7, d, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31320 is divided by 15174.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - 3.6. Let s = k - 0. Let n = 0.3 - -0.2. Sort n, 2, s in decreasing order.\nAnswer: 2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = 4*n. Let u be 36*(n - (-26)\/8). Factor -19 - 13 + 3*t**2 - 31*t**2 + 39*t + u*t.\nAnswer: -4*(t - 4)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/8)\/k**1*k**(2\/7)*((((k\/(k\/((k\/k**(2\/13)*k*k)\/k)))\/k)\/k)\/k)\/k*(k**(-8)\/(k**8\/k))\/(k\/(k**(-2\/9)*k*k))**43 assuming k is positive.\nAnswer: k**(104513\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnxnnnnxnnnn. What is prob of sequence xn?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5293188 by -961.\nAnswer: -5508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/3 + 48*o + 2816\/3 = 0.\nAnswer: -16, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 2*y + 2. Give q(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/25785550 and 137\/15471330.\nAnswer: 77356650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -71122?\nAnswer: -71127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/i**(-4\/9)*i**(-6)\/(i*i*i\/i**6*i))**(-20) assuming i is positive.\nAnswer: i**(760\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-40) + 9\/(-4). Let b = p + 32. Suppose 3*x - x - b = 0. Calculate the greatest common divisor of x and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2282)\/30 - (12032\/1410)\/(-128)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 105*h**4\/2 - 112*h**3\/3 + 17. Find the third derivative of y(m) wrt m.\nAnswer: 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g - 24. Let k(d) be the third derivative of -d**5\/30 + 5*d**4\/6 + 9*d**3\/2 + 8*d**2 + 4. Let u be k(11). Determine l(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -1\/4 (c) -53 (d) 0.3 (e) -342\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: (-72)\/192 + (-3)\/(-24)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17702138394 take away -15702?\nAnswer: -17702122692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 495653777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2211781*p**4 - 4821455*p**2 wrt p.\nAnswer: 53082744*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 8:49 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1112, -4\/3, 11, -0.15 in increasing order.\nAnswer: -1112, -4\/3, -0.15, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -19*i + 27. Let a = -65 - -61. What is the tens digit of b(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31956 or -258?\nAnswer: 31956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-64)\/28 - 4\/(-14). Which is the second smallest value? (a) 2\/5 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-4))\/(39\/(-11232)). What is the greatest common factor of 456 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-40) - (-44)\/10. Suppose 0 = q + 2 - p. Suppose 25*w = -4*b + 30*w + 32, 2 = 2*b + w. Solve o + 5 = 2*n + 2*o, b*o - q = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1936.9 - -1937. Which is the second biggest value? (a) j (b) -17 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-30)*6*-70*38\/399\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**3 - m**2 + 3*m + 5. Let i(c) = -3*c**3 + 2*c + 4. Give 5*i(r) - 4*w(r).\nAnswer: r**3 + 4*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b + 80 = 167 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 13 = 4*q + 51, 3*l + 3*q = 30. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1e56d (base 15) to base 10\nAnswer: -99103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 734196143 + -3?\nAnswer: 734196140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 1525199.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9a + -3265d?\nAnswer: -325c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 466032*j + 2. Let i be b(2). Let x = 33558583\/36 - i. Let u = 437\/4 - x. What is the common denominator of u and 17\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y - 22*y + 2*y**3 + 2 - y**3 + y**4 to k*y**2 + v*y + j*y**3 + t + z*y**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2132?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1, -0.24, 13\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6*p + 6 = 3*p, -5*m - 4*p = -15. Let b(c) = 0*c - 4 - 27*c - m + 6*c - c**2. Is b(-16) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 7*k + 128*r - 124*r, -r + 5 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3062*b**2 + 11*b + 2. Let y be s(-14). Round y to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 144?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 2, 0 in decreasing order.\nAnswer: 2, 0.07, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 17274?\nAnswer: 6909.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -251913 + 1108857342?\nAnswer: 1108605429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 2*j + 11. Let u be k(2). Let d be (-2248)\/(-22) - 8\/44. Suppose -6*o + u*o = -d. List the prime factors of o.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 38*j**2 - 19*j + 1. What are the prime factors of u(37)?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-7 - -2) + -1 + (6 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179.9 - -179.4055. Let x = u + -0.2907. Round x to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 16*y = -15*y - 175, -3*y = -5*f + 287. What is the remainder when f is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*y = -17, t - 78 = -3*t + 2*y. Suppose 0*x - 16 = -4*h + 4*x, 4*h = -2*x + 46. Calculate the least common multiple of t and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19511 is divided by 96?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39133, 78205, 117287, 156385, 195505?\n\"Answer: g**3 - g**2 + 39068*g + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -50. Suppose x*a - 11 = -1. Solve 25 = 5*s + 5*g, a*s - 3 = 4*g + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -134, -197?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s - 2 + 2 - 3*s + 0*s + 5*s + (4 - 3 - 3)*(-2*s + 0 + 0) + 0*s + 0*s + 4*s - 388 - 355*s + 386 - 148*s - 122*s in the form r + j*s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/68475 and -191\/47036100.\nAnswer: 517397100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 3, m: 2, o: 4, s: 1, g: 1}. Give prob of picking 1 s and 1 m.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/11, 2, -0.5, 0.6501, 0, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/36 - (-2)\/18. Let x be (-3)\/(-12) - (-781)\/(-20). Let i = 39 + x. What is the nearest to r in i, 3\/4, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17759 is divided by 1777?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 4*o**2 + 1. Let p = -14 + 25. Let l be (p + -5)\/(4 - 2). Does 4 divide i(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17685, 17692, 17699, 17706?\n\"Answer: 7*t + 17678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 437498816?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106196, -424621, -955296, -1698221, -2653396, -3820821, -5200496?\nAnswer: -6792421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 280 = p. Suppose 7*y - p = 3*y. Calculate the greatest common divisor of 28 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*1)\/(sqrt(30)\/sqrt(5)*2) - ((-2 + 2 + sqrt(72))**2 + 2).\nAnswer: -74 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -250178039\/9911640 - -58024\/2265. Let o = k - 1\/547. Let m = -0.94 - 0.06. What is the second biggest value in m, o, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4360 or 297?\nAnswer: 4360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.3 - 88.3. Let d = 23 + h. Let v = 49.059 + d. What is v rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 62 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1415\/(-1698))\/((-80)\/6).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00034056 rounded to six decimal places?\nAnswer: -0.000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1756636785?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17292 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w - 15, -18 = x + 3*w. Let r(v) = v**2 - 6*v. Let s be r(7). Let i = x + s. Solve i*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 16, -2, -22, -44?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466 - 328 + 151 - 257 = -60*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 644473987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t + 20\/3 - 2\/3*t**2 = 0?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**3 + 531687*v**2 + 2658492*v + 3190212 = 0?\nAnswer: -3, -2, 177234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.538 - -5.838. Is u less than or equal to -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.9 - -0.1. Let u = 2 - z. Let h be (-1 + 1)\/(0 + 1). What is the smallest value in h, -4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107.06 + 108. Let r = -69.94 + m. Let a = r + 69.000119. What is a rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/92 and -29\/3128.\nAnswer: 3128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2297 is divided by 95?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*w = -27*w - 5*w. Let o be -7 + 3 + 7179\/1794. Which is greater: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40083203 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8001 - 1901. What is u rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 85 + 43 + 43.\nAnswer: 5*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(2880)*-2 + sqrt(2880))*6*-4.\nAnswer: -96 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 5, 2 in increasing order.\nAnswer: 2\/3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6661 + 6663. Solve -x*f = z + 7, -3*z + 0*f - 4*f - 15 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - n + 1. Let l(a) = -3*a**3 + 2*a**3 + 5 + 0*a**2 - 5*a**2. Let v(y) = -l(y) + o(y). Let x be v(-4). Solve 5*t - 4*t = x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -266, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 2*i**2 + 2*i + 3. Let d be o(3). Suppose d = -p - 4*p + 4*b - 10, b = 5*p - 5. Suppose 2*t = -p*t + 88. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -13*j + 651. Give q(36).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/37506 and 62\/4935.\nAnswer: 187530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 2*t**2 + 4*t - 1. Suppose -d - 3*w + 15 - 2 = 0, 10 = 2*w. Calculate the smallest common multiple of u(d) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-10) - ((-2964)\/130)\/(-19)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212 divided by 2.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*l = 120*l - 60. Suppose 36 = 3*m + 2*p, 5*m + 14*p - 13*p - l = 0. Solve 0 = 3*o - m + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - i**2 - i + 46. Let n be y(0). Let b = n - -13. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (1 + 0 + (4 - 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let q(v) be the third derivative of v**2 + 0*v + 0 + 0*v**3 - 1\/8*v**4. What is q(z(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-18) + 18\/54?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -162203\/39 at most -4159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 20*y + 3. Determine r(-3).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.13582 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-15455)\/1686*(-3)\/33\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*l, 2*l + 0 = -y + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 1025*d - 2030.\nAnswer: -5*(d + 2)*(d + 203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 422 = 5*r, g - r + 142 = -0*r. Let f = 232 + g. Suppose 5*m = 2*x - f, -2*m = m + 12. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 23 = -5*o + 2*j, -3*j = -5*o + 28 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 - 62*b + 228. Determine g(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 + -377. Let r = 548 + w. Sort 8, 0, r in decreasing order.\nAnswer: 8, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*f + 186, -5*f + 382 = 5*b - 33. Let w = f + -78. What is the greatest common divisor of w and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j - 2436 = 14*j. Does 29 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348667 is divided by 984.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2668 = -4*v, 572*v = 570*v + 4. Calculate the remainder when n is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3804b (base 13) in base 8?\nAnswer: -311632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2 (b) -1 (c) 47 (d) -4 (e) 5 (f) -0.03 (g) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/(-2) - 0\/10. Let s = -83 - -301. Let k = s - m. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2013908?\nAnswer: 2, 13, 38729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4697 and 149023.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 2*m + 1. Let u = 363 - 365. Let g(a) = 5*a**2 + 7*a - 2. Give u*g(n) - 7*q(n).\nAnswer: 4*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*u + 18 = -10*u. Calculate the common denominator of ((u + 3)\/2)\/((-35)\/119) and 52\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 + 170*g**2 + 355*g + 180.\nAnswer: -5*(g - 36)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzpzpppzzppppppppppp. What is prob of picking 1 p and 3 z?\nAnswer: 64\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-189)\/18)*((-135)\/20)\/9\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w**2 - w + 6. Let q(f) = 7*f**2 + f - 6. Suppose 21*x - 16*x = 25. What is x*j(n) + 6*q(n)?\nAnswer: 2*n**2 + n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -37*r**2. Let m be z(1). Let k = 240 + m. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d = 330. Let g be 2502627\/d - 2\/11. Let y = g - -7594. Calculate the common denominator of 31\/7 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(7\/(-35))\/((-21)\/70)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539771123.\nAnswer: 539771123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -122.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*c = -9, -2*f - 245*c + 246*c = -11 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4397 or -4398?\nAnswer: -4398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -594356 and 0.1.\nAnswer: -59435.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 238\/(-833) - 32\/(-14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -45. Let j be -2*(s + -1 - 2316). Suppose -4*k - 2*k + j = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4732274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 145539691?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + v + 40 = 0, 0 = -1012*i + 1010*i - 3*v + 24 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2477 - 39535\/16. What is the common denominator of t and 65\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvcvjjhvcvcvhjvv. Give prob of picking 3 v and 1 j.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311021 - 1110?\nAnswer: -312131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (6 - (48 + -29))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 90.2, -2 in ascending order.\nAnswer: -2, -1, 90.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 11*o**2 - 49499*o + 743387. Determine j(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 5*z - 5*z + z - 10*z**2 to the form r + y*z**2 + t*z and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 89*l - 11. Is s(-81) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1189960, -1189257, -1188554?\nAnswer: -1187851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 46. Let b = -41 + w. Does 19 divide ((-6)\/b)\/(2\/306)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 22 = 2*p, 1752*p - 24 = -2*i + 1763*p for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 100*k**2. Let r be w(-2). Let o be r\/6*132\/8. Suppose 0*l - l = -o. What is l rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(567)*1 - sqrt(567)) + -3)**2 + 3 + -2)*-3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3497 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10637 - -15940. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 + 0.02528\nAnswer: 66.02528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p**2 + 21*p**2 - 97*p**2.\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*y + 4. Solve 2*f = 2*b + 4*f, 2*b - y*f + 21 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*g = c - 107 + 604, 5*c = 5*g + 35 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + j + 133 = -122, 0 = 5*b - 4*j - 633. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - (-48)\/(-9))\/(12\/(-27)). Solve o*v = 6*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6*((-17)\/(-2))\/1.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjh when three letters picked without replacement from hthttjjtjjtt.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 2*j + j + 3*j**2 + 3*j in the form k*j + v*j**2 + i and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10519 - 10508. What is the third smallest value in 0.4, -2\/39, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10029 - 6525. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -11*r**2 + 34*r - 15. What is c(-10)?\nAnswer: -1455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -313 + 42. Let a = -250 - j. Solve -4*q = -11*q - a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 51 = -k, -5*m - k + 19 + 44 = 0. Let p = 2 + 2. What is the lowest common multiple of m and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*d**2 + (2 - d - 2)*(0*d - 2*d + d) + (0 + 2*d + 0)*(-23*d + 35*d + 13*d).\nAnswer: 53*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from ueeeuu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -138884*r + 72. Let x(y) = -694420*y + 360. Let f(k) = 11*j(k) - 2*x(k). Let g be f(8). What is g rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -58, -14 in ascending order.\nAnswer: -58, -14, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/4485 and 4\/7215.\nAnswer: 165945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 27 + 1473. Suppose n - h = -136. Is n a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34408 + 330.\nAnswer: 34738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.07 (b) 2 (c) -3\/4 (d) 254 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose 379 - 457 = -6*j. Calculate the remainder when j + (1 - (11 - 3)) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2175\/(-58)*(-11 - 527\/(-51)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4416 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 2\/11189 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11496967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*l**5 - 2*l**4 + 2628*l**3 + 14583*l**2 wrt l?\nAnswer: -2040*l**2 - 48*l + 15768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (102\/12 - 3)\/((-6)\/(-12))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Let l = g - 2.7. Let o = 0.4 - l. What is the nearest to 0 in 3\/4, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 125, 191, 257, 323, 389?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bkkbk. What is prob of sequence kkk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 1:55 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/7 + 5538690*v**2\/7 + 3834633095166*v\/7 - 3834638633858\/7.\nAnswer: 2*(v - 1)*(v + 1384673)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*14\/((-168)\/(-66)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 14. Suppose 3 = 3*i - 7*z + 4*z, n = 5*i - z - 5. Let h(a) = a**3 + a**2 + a + 1. Let y(k) = k**3 + 4*k**2 + 3*k + 2. What is i*y(o) - 2*h(o)?\nAnswer: -o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -3*k**3\/2 + 2*k**2 - 5*k. Differentiate s(x) with respect to x.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 20 + 4. Let h(y) = -1 + 5 - y - 5. Let f(s) = 6*s - 1. Let w(x) = -f(x) - 3*h(x). Give w(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/6327 - -6331\/12654. Solve f**3 - r*f - 1\/2*f**5 + f**2 - 1\/2 - 1\/2*f**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 3*f + 8 = 0. Suppose 3*t + 5*r - r - 83 = 0, 0 = -f*t + 2*r + 46. Solve -22 = 2*w - 5*w - 5*o, -5*o + t = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62 - -63. Calculate the lowest common multiple of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 - -9) - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 14574.65081?\nAnswer: -14572.65081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79850 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-2)*(3 - 1). Let c(j) = -j. Let i(q) = -q**2 + 8*q - 11. Let n(m) = -4*c(m) + i(m). What are the prime factors of n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7449 to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/40 of a millennium?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/20 + 642\/15. What is the remainder when 28 is divided by (-18)\/24 + v\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49394068.\nAnswer: 2, 12348517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/12*(4 + 1). Let f be 620\/(-16) + 38 + (-53)\/(-60). What is the nearest to 0.1 in r, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(4) + 1 + -2.\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72444?\nAnswer: 2, 3, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 10*b - 15. Calculate k(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 470 - 7471\/16. Let j = 2\/3421 + 763\/622. What is the common denominator of g and j?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 55, 85, 149, 259, 427, 665, 985?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -2424?\nAnswer: 2424.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 3828*z + 45683. What is d(12)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1431 and 10\/477.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouhuihhihhuv. Give prob of picking 1 u, 1 v, and 1 h.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.35025 take away 0?\nAnswer: -12.35025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*x - 2 - 231*x + 449*x + (-2 - x + 2)*(3 + 2 - 4) - 2*x - x + x in the form j*x + a and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 10:28 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(13) + 1*sqrt(13) + -4))**2.\nAnswer: -144*sqrt(13) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-3 - 4 - -6) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 11*c**2 - 29*c - 1. Let k be l(-7). Suppose -6*z - k*z + 144 = 0. Solve v = -3*v + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1496)\/(-33) - (-2)\/(-6). What is the tens digit of i - (0\/4)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28747298*o**5*v**2 - 3*o*v - 5*o - 47*v**2 + 7723*v wrt o.\nAnswer: -574945960*o**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**(-1\/2))\/v)\/v)**26\/(v*v**(1\/2)*v)**(-5\/13)*v**(-4)*(v*v*v*v\/((v\/(v*v**(-1\/5)\/v))\/v)*v*v*v)\/v*v\/v**(-1\/6)*v**(3\/2)*v*v assuming v is positive.\nAnswer: v**(7967\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(363)*-4.\nAnswer: 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1887495*h*m**3*q**3 - 108*m**3*q**3 - 9*m**3 + 2*m**2*q**3 - 3*m**2*q**2 - m*q**3 wrt h.\nAnswer: -1887495*m**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 539572437 to the power of 1\/3, to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-63 + 66)\/(6\/10). Let x(c) be the first derivative of -20*c**2 + s + 20*c + 25\/4*c**4 - 35\/3*c**3. Factor x(i).\nAnswer: 5*(i - 2)*(i + 1)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -482, 5, 0.5, -5?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 923*s**2 + s - 4. What is the hundreds digit of u(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001187052341 to 7 dps.\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f + 14. Let l(z) = 13*z**2 - z. Let a be l(-1). Let r(p) = -p + 3. Let w(c) = a*r(c) - 3*b(c). Let x(k) = -k**2. Calculate w(x(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 921635 and 845?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12832026 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736076 is divided by 368034.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 6*m - 3. What is z(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3118800 to the nearest ten thousand.\nAnswer: -3120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (1 - (2 + -3)). Suppose w*g + 48 = 6*g. Suppose -t - 5*o = -64, -3*t + 179 = 3*o - 13. Calculate the greatest common factor of g and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*t**2 + 8*t**2 + 55*t**2)*(-2*t - 3*t - 17*t).\nAnswer: -2486*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 15*g - 17. Is c(8) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*u + 5. Let q be 1 + u\/((-15)\/(-12)). What are the prime factors of (39\/(-9) + -1)*q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2*1 - (-108)\/32 and 48\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53742*h**2*o - 1441*h**2 - 11*h + o**2 + 4*o + 78 wrt o?\nAnswer: 53742*h**2 + 2*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -179046 divided by -3654?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6415249648 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0107019137 to four decimal places.\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 890\/(-30) - 2\/(-3). Let s = -16 - y. Calculate the remainder when 63 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17951875 and 143615?\nAnswer: 17951875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:34 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.83 - 66.83. What is the third smallest value in -4, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 10:38 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 3, c: 6, v: 2, z: 3}. Give prob of picking 1 r and 1 z.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 16149539.\nAnswer: 80747695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 3*j - 76. Suppose 4*d - 4*k = 88, -4*d + 2*d = k - j. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 16*z**2 - 2*z + 6. Let o be d(2). Suppose 4*h - b = -3*b + o, 0 = h + 5*b - 21. What is the remainder when 40 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1835 or -1834?\nAnswer: -1834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 4:31 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 3\/4 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, 577, -34 in descending order.\nAnswer: 577, 5, -3, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.4 and -196.1?\nAnswer: -1451.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 2*t**2 + t + 17. Let k be d(-4). Let c be 56 + k - -4*2. What is the greatest common divisor of 30 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29998.\nAnswer: 2, 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 28*v - 2. Let m(f) be the third derivative of f**4\/12 - f**3\/6 - 78*f**2 + 2*f. Let p(t) = -12*m(t) + y(t). What is p(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -26. Let w(q) = -q**3 + q**2 - q - 13. Let u be w(0). Which is smaller: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 97060*d**2 - 291216*d.\nAnswer: 4*d*(d - 3)*(d + 24268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 - 4*d + 4. Let p be f(0). What is the fourth smallest value in p, 2\/7, -1\/6, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 755 is divided by 107?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - v. Let i(d) = -d**3 - 12*d**2 + 6*d - 17. Let h(p) = -i(p) - 6*w(p). Let f(k) be the first derivative of h(k). Factor f(b).\nAnswer: 3*b*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -27316*z. Let i(g) = -10*g. Determine i(q(u)).\nAnswer: 273160*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 237 = 9. Let n be 2\/7 - d\/(-21). Let h be (-2)\/6 + (-289)\/(-3). Calculate the highest common divisor of n and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1013003213 + 21?\nAnswer: -1013003132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -349*y + 349*y - 11 + 3*y**4 with respect to y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 173928982 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 14. Let v = g + -3. Factor 0 - 2\/11*f**3 + 0*f**v + 2\/11*f.\nAnswer: -2*f*(f - 1)*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*i + 2*i + 4*i**2 - 8*i**2 wrt i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - l**2 - 2)*(19*l**2 + 13 - 13) - l + l + 3*l**4.\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 - -252. Suppose -5*q - 10 = -5*d, 4*q = -36 + 52. What is the highest common divisor of d and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112100 (base 3) in base 13?\nAnswer: abc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96185.08nm to meters.\nAnswer: 0.00009618508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*y + 2574 - 10065. Let j(z) = -90 + 81 - 228*z + y*z. Let d(u) = -1. Give 2*d(h) + j(h).\nAnswer: -h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21614, -21613, -21610, -21605, -21598, -21589?\nAnswer: -21578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, f: 7, k: 6}. Give prob of picking 1 l and 1 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**3 + 19\/3*n**2 + 4\/3*n - 4 - 7\/3*n**4 - 1\/3*n**5 = 0. Calculate n.\nAnswer: -6, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 7*w - 5*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -3\/7, 0 in descending order.\nAnswer: 4, 0, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 23 = -5*b + 4*n, -3*n = b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 4*f**2 - f**2)*(0 - 9 + 1) - f - 2*f**2 + f.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -8*j**3 - 58*j**2 - 7*j - 16. Determine z(-7).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2\/5 (c) 6402\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3855598496 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/(7\/((-245)\/(-40)))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9111ad (base 15) in base 14?\nAnswer: -cb46a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40.9 - -38.9. Which is the second smallest value? (a) x (b) -4\/11 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -3 (c) -0.2589 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 4:56 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.06558 or -0.78845?\nAnswer: -0.78845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62 - -77. Solve -w = -3*d + 3*u, 4*d - 3*d - 10 = 2*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62790690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -29*q - 229. Calculate m(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -213930355 by -3507055.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 29 - 1 = 0. Suppose -3*l - 35 = -8*l. Calculate the lowest common multiple of l and (-23 - 7)\/((-9)\/d).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.098 + -0.102. Let i be (18\/(-12))\/((-12)\/8). Which is the closest to i? (a) -0.06 (b) -1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*l + 544 + 589, -5 = -5*l. What is the remainder when y is divided by 23?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 49*h**2 - 42*h - 1474. What are the prime factors of w(-52)?\nAnswer: 2, 11, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59366936.\nAnswer: 2, 797, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-66)\/36)\/((-8)\/16))\/(9\/27).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645796 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2. Let v(t) = -13*t - 5*t - 6*t. Determine v(a(n)).\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 398599 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(1539))**2.\nAnswer: 36*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -177 by 70.\nAnswer: -177\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Let m(c) be the second derivative of 0 + t*c**2 + 3*c + 1\/3*c**3 - 1\/12*c**4. Factor m(g).\nAnswer: -g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17206.302 rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*l**4 - 11393 + 4*l + 11468 + 2*l wrt l?\nAnswer: 24*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011001111111 (base 2) to base 15\nAnswer: 2dc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(315)\/(sqrt(5) + sqrt(25)\/sqrt(5)) - (3 + (-3*(sqrt(77) + (sqrt(77) - (-2*sqrt(77) + sqrt(77) - sqrt(77))) - sqrt(77)) + sqrt(77))\/sqrt(11)).\nAnswer: -3 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63085 divided by 63085?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*m - 64*m + 216 = 0. Let q be (-10)\/(-20) - 2\/(m\/266). Solve -63*g = -q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((33 - 33 + 3*x)*(-3 + 6 - 1) - 2*x + 0*x + 4*x)*(2*x**2 - x**2 - 8*x**2) to the form l*x**3 + j*x**2 + z + t*x and give l.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 696959*y**3 + y**2 + 2*y**4 - 8*y - 7 - 696961*y**3 - 4*y**2 to k*y**2 + u*y**3 + c + t*y**4 + n*y and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -633, -892, -1095, -1224, -1261, -1188, -987?\nAnswer: -640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**5\/5 - 124*s**4\/5 + 564*s**3\/5 + 124*s**2\/5 - 112*s = 0. What is s?\nAnswer: -35, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (33\/(-44))\/((-1)\/20). Let o = a + -34. What is the remainder when (o\/(-4))\/(4\/16) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2240 + 1560 = 10*z. Calculate the greatest common divisor of z and 1045.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.39 less than -44.43492?\nAnswer: -47.82492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 371 - 335. What is the highest common factor of j and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 divided by -2?\nAnswer: 279\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.84 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27.016 - 27. Let h = 1.284 + l. Round h to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/119 in -1\/4, -1\/11, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -2034901.29?\nAnswer: -2034898.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -20*l**2 + 8*l. Let j(g) = 13*g**2 - 5*g. Let d(v) = 5*i(v) + 8*j(v). Determine d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 11:43 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + (-6 + 5 + 2 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17196, -16857, -15944, -14169, -11244, -6881, -792?\n\"Answer: 48*z**3 - z**2 + 6*z - 17249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11045 + 11047. Solve -o = 2*w - j, 0 = 5*w + 9*j - 14*j + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 39 = 2*p. What is the remainder when 20 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-182)\/(-780) + (-2)\/(-12))*8. Which is the nearest to -0.1? (a) -0.1 (b) w (c) 4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 1346*z - 18. What is g(0)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020333 (base 5) in base 7?\nAnswer: 164011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + 3 + 11)*3\/(-6). Let c(p) = 147*p**2 + 8*p + 7. Is c(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -719 + 822. Solve q + l = 98 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f - f + 5*f)*(-3 + 4 - 2)*(-4 + 0 + 6)*(5 + 2 - 43).\nAnswer: 72*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28.45 - 29. Let n = -0.0388 + 0.6158. Let q = n + a. Round q to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 467. Suppose -3*t = -i + 151, 12*i - 4*t = 9*i + s. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329569762 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + 5*i + 27 = 0, 2*i - 8 = 0. What is the remainder when t is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 83*f**6\/120 - f**5\/60 + f**2. Calculate the remainder when q(1) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 5*a + 4, g - 5 = 2*g + 4*a. Suppose -w = -g*w. Solve 4*l = 5*t + 24, 0 = -5*l - w*t - 2*t - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1\/674, 0.4, 17.8, -2\/3?\nAnswer: -1\/674","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 73 * 255797.9\nAnswer: 18673246.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/(z*z\/(z**(-5)\/z)*z)*z*(z*z*z\/z**(1\/15))\/z*(((z\/z**(-2\/17))\/z)\/z)\/(z\/(z\/z**9)) assuming z is positive.\nAnswer: z**(-3557\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u. Suppose 20*w - 1962 = -1882. Let a(z) = -8*z + 1. What is w*a(b) + 5*g(b)?\nAnswer: 3*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3601 (base 15) to base 14\nAnswer: 427a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 443731489 to the power of 1\/3, to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 732 = -2*p, 55*p - 1424 = 51*p - 4*a. Does 60 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/(206\/(-30) + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18854 (base 11) to base 4.\nAnswer: -12123030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10*a + 2. Let d be t(1). Let s be (-4 - 1) + d + -12. Let p be 0 + s\/((-5)\/28). Calculate the greatest common divisor of p and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1133, -1844, -3769, -7514, -13685?\n\"Answer: -101*n**3 - n**2 - n - 1030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 14. Let o = 0.013 - -19.987. Let b = -19.5 + o. Put b, j, -5 in decreasing order.\nAnswer: b, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 8*b = 0. Let s = -0.2 - 6. Let v = s - -6. What is the smallest value in v, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11648 = -2*i - 3*a, -3227 + 32347 = 5*i + 5*a. Let k = i - -289. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 12. Suppose -j = 5*g - 42, -21 + 6 = 5*j. Let s be f(g). Let n be 2\/(-8) - s\/12. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -13\nAnswer: 103\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11210002 (base 3) to base 8\nAnswer: -6635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -146*q**3 - 2688*q + 5759497 wrt q?\nAnswer: -438*q**2 - 2688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.529624 take away -0.037?\nAnswer: 0.566624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 120293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*s - 336*s - 45*s.\nAnswer: -335*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.026 - 21.026. Let j = -22 - d. Let l be 9\/2 + 1\/(-2). What is the closest to j in 0.1, l, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 7*f + 20. Let j be w(-9). Let v be 46\/14 - 3 - (-1800)\/315. Let x be 8\/3 + 10\/(-15). Solve j - v = x*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154170, -154168, -154166, -154164, -154162?\nAnswer: -154160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(11)) + (sqrt(176) - (sqrt(176)*1 + sqrt(176)))**2)*6 - ((-4*(-2 + sqrt(275)))**2 - (6*(-2 + sqrt(275)))**2).\nAnswer: -412*sqrt(11) + 6660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a day in hours?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 1 + (1 + 0 + 0)*(-5 + 1 + 3))*(-2*t**2 + 4*t - 4*t)*(3163 - 3163 - 38*t) in the form g*t**3 + n*t + w + i*t**2 and give g.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238 divided by -113203.\nAnswer: 14\/6659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415 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 b = 1.17 - 0.17. Let w = -28 + 33. Let h = -1.1 + 1. What is the third biggest value in b, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -17*b - 362. Let k be l(-23). Let u = 61 + -58. Sort u, k, 0 in ascending order.\nAnswer: 0, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -2\/11, 0.4, 29, -93556, -2, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16285154 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4 + 15902*k**3 - 95502*k**2 - 143198*k + 222796 = 0. Calculate k.\nAnswer: -7957, -2, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.35 - -0.05. What is the smallest value in n, -1, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/7))**(-28\/5) assuming t is positive.\nAnswer: t**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2738 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 + 27*i - 51 - 6*i.\nAnswer: 21*i + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 11468450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/35 + (-107)\/(-5). Suppose -55 - p = -2*h. Let z = -30 + h. Solve -3*k + z = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 8. Let k(m) = -6*m - 39. Let t(u) = 24*i(u) + 5*k(u). Let x(p) = 3 + 0 - 5*p - 5. Determine 4*t(o) - 5*x(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 68*s**2 + 8*s**3 - 2*s**3 - s.\nAnswer: 8*s**3 + 68*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (50\/70)\/((-28)\/(-196)). Solve -c - 15 = 5*s, y*s - 2*c = -6*c for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 13455?\nAnswer: 13454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 3*a**2 + 4*a + 2. Let u(x) be the third derivative of x**6\/40 - 7*x**5\/60 - 3*x**4\/8 - 5*x**3\/6 + 3*x**2 + 14*x. Determine 5*i(d) + 2*u(d).\nAnswer: d**3 + d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 136873, 136748, 136623, 136498, 136373?\n\"Answer: -125*t + 136998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2062.643 kilometers in millimeters?\nAnswer: 2062643000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = -7*p + 2*p + 8496. What is the highest common divisor of p and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {d: 2, r: 16}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 11 = 4*x - 5*c, 2*x + 2*c = -8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 515*m. Let o(u) = 2*u**2 - 40*u + 1. Let w be o(20). What are the prime factors of d(w)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14fa (base 16) in base 7?\nAnswer: 21441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.33 + 3292.67. Let y = z - 3278.51. Round y to the nearest integer.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -139.5 in -2\/5, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*f = -2*z + 2723, 3*z - 2006 = -5*f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 42 = -21 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 378 and 1438345377?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 - 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -1. Factor 8*q**2 - 2 - 8*q**3 + 8*q**2 - n*q**2 - 4*q.\nAnswer: -2*(q - 1)**2*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 7. Let o(c) = -9*c - 15. Suppose -2*i = i - 39. What is i*n(a) - 6*o(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1113 - -1112.7. What is the closest to 4 in -2, h, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 38771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 58 = -3*g + 2*d, -70 = -3*g + d. Suppose 7 = -3*a + g. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2206810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 642927*r - 3. Let s(q) = 7*q**2 + 4*q. What is v(s(m))?\nAnswer: 4500489*m**2 + 2571708*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-446*f + 373*f**2 + 226*f - 68*f**2 + 219*f - 11)*(-5*f + f + 3*f) to the form p*f**2 + c*f + z*f**3 + q and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 + 15*o - 26 = 0. Calculate o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-3) - 2\/3. Solve 0 = -2*u + 4 - j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -23 + 6*p - 17 - 2. Let z be u(7). Suppose z = 41*c - 39*c - 452. List the prime factors of c.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-6\/7)\/h)*h**27)\/((h**(2\/15)\/h)\/h*h**(-2\/21)*h*h) assuming h is positive.\nAnswer: h**(3131\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 (base 9) in base 14?\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4359 - -52387\/12. What is the common denominator of ((-119)\/(-16))\/((-14)\/((-1288)\/(-69))) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.01 - -0.08. Let q = r - -0.23. Which is the third smallest value? (a) q (b) 2\/19 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 6*t - 4. Let p be o(-6). Is (p - -3)\/((-2)\/118) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -229 + 224. Let p(u) = 783*u**2 - 7*u - 63. Is p(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -29, -3, 2 in descending order.\nAnswer: 2, -2, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23932?\nAnswer: 2, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16835761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**2 + 19*g + 9. Let i be s(7). What is the closest to -1\/6 in i, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**4 + 153*h**3 + 49782*h**2 + 147888*h = 0?\nAnswer: -104, -3, 0, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r**2 - r**2 + 3*r**2 - 2*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + 15. Let w = i + -8. Suppose 5*z - 80 = -w. What is the remainder when 31 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 61 (b) 5 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1) - 67*4166. Let d = q - -1259121. Round d to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 110 - 105. Solve f*g = 4*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -123?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*j + 4, -6 + 14 = 5*x - j. Suppose i + 4*c = 2469, -1138 = -i - x*c + 1333. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52570*k - 52840*k + 11013 - 2103 for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -345, -384, -447, -534, -645, -780?\n\"Answer: -12*j**2 - 3*j - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*c**3\/7 - 129510*c**2\/7 - 420654*c\/7.\nAnswer: -6*c*(c + 5393)*(4*c + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n**2 - 9. Let k(z) = 0*z - 2 + 16 + 9*z. Let l be k(-2). What is the tens digit of h(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 67184849 and -0.04.\nAnswer: 67184848.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-77)*(0 - (-2)\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*q - 4 = 3*p, 2*p + 2*q = 2. Suppose -12 = p*m + 12. Let x(z) = 3*z - 4. Let w(d) = -4*d + 5. Calculate m*x(c) - 5*w(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10*k - 3. Let f(m) = -821540*m. Calculate f(o(h)).\nAnswer: -8215400*h + 2464620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4 + 3*h - 28*h**2 - 8*h - 47*h**2 + 73*h**2. Suppose -5*i - u + 3*u - 7 = 0, 4*u = -16. Give l(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122026.\nAnswer: 2, 17, 37, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d*p**3 + 2*d*p**2 + 20*d*p + 3*d + 2*i*p**3 - 7*i*p + 5712*p**3 - 1 wrt p.\nAnswer: -12*d + 12*i + 34272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 633.\nAnswer: -17724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 + 12*h**3 - 26*h**2 + 24*h - 8.\nAnswer: -2*(h - 2)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 46. Which is the nearest to 0? (a) s (b) 0.3 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/9 + 374*q\/9.\nAnswer: -2*q*(q - 187)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.2 + -9.2. Let g be (8\/(-10))\/((-18)\/5). Which is the closest to g? (a) -2\/5 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 5, -10, 17, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**4 - 1872*v**3 + 2 + 2*v**2 - 3*v**2 + 1873*v**3 as h*v**3 + p*v**4 + f + d*v + s*v**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2047 or 2037?\nAnswer: 2037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 223651.\nAnswer: -89460.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79131 is divided by 26355?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2011*d - 453 + 906 - 453)*((-2 + 2 - 1)*(2 - 2 + 1) + 1 - 3 + 4 + 0 + 2 - 4) to n + i*d and give i.\nAnswer: -2011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(f + 3*f - 3*f) + (1 - 4 + 1)*(0*f + f + f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.491 * -3.8\nAnswer: -1.8658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951595878?\nAnswer: 2, 3, 158599313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -61666*f - 4. Suppose -5*n - 6 + 21 = 0. Let j = n + 3. Let b be c(j). Round b to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2842*b**2 - 499*b**2 - 2344*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 567 - 3*u - 573 + 0*u - u**2. Let s be x(-3). Does 26 divide 112\/s*(-126)\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-3 - 1 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c**2 - 3*c + 2*c**2 - 4*c**2)*(-c + 2*c + 4 - 2) in the form z*c + o*c**2 + n + d*c**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 827571 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + p + 5*m + 14, 4*p + 66*m - 3*m = 11*m + 20*m - 160 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5740892 take away -1?\nAnswer: 5740893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-3 - (12 - 10)) - -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/36 and 109\/444?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 0 + 0*y + 9\/8*y**3 + 1\/240*y**5 + 42*y**2 - 7\/24*y**4. Factor t(h).\nAnswer: (h - 27)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/56810868 and 111\/40?\nAnswer: 568108680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f - 5*f + 4*f + (-155*f - 665 + 665)*(-1 - 1 + 0))*(6 + f**2 - 6)*(0 - 1 + 3) to u*f + d + n*f**2 + h*f**3 and give h.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -866*h - 3475 = -1005*h for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 119, 513, 1169, 2093, 3291, 4769, 6533, 8589?\n\"Answer: c**3 + 125*c**2 + 12*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -p - 3*j + 18, 0 = -3*p + 2*j. Suppose -w + p = -7. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-5) - ((-47)\/5 - 0). Suppose 0 = -9*y + q - 82. What is the units digit of (780\/16)\/3 + 2\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u - 1172 = -5*h - 10*u, -3*u = 3. Calculate the greatest common factor of h and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.3, 13, 0.38?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100 - (57 + 106 + -105).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-22)\/77)\/(9\/(-21)))\/(-2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - 5*(sqrt(171) + (sqrt(171) + 1*sqrt(171) - sqrt(171))) - sqrt(171))\/(-3*sqrt(9)*2).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + s - 12, 0 = -5*s - 1165 + 1240 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f\/(f**(-8)*f))))\/(f**(-38)*f))\/(f**(-4)\/(f*f*f**(-6)\/f*f)) assuming f is positive.\nAnswer: f**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 4*x**2 - 2*x**2)*(0 + 1 + 0)*(-2*x + 3 - 3).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 11:28 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - m + (m - 5*m + 2*m)*(-3 + 5 + 0) - 2*m - 2*m + 5*m)*(-1565*m**3 + 82434*m - 82434*m) to x*m**2 + o*m**4 + v*m**3 + t + r*m and give o.\nAnswer: 6260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*z + 2*z. Let k(o) = -o**3 - o**2 - o - 12. Determine k(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.17 * -1.\nAnswer: -54.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.93 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 3*y + y)*(-6*y**2 + 9*y**2 - 2*y**2) + (3*y + y**2 - 3*y)*(-y + 5*y - 2*y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ctc when three letters picked without replacement from cuptbcy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - 52. Let b be -3 + 44\/r - -2. Suppose 6*n - 27 = -b. Solve 0 = -5*f - 6 + n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12506 is divided by 117.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 179021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2 - p. Let r(j) = -33*j**2 + 18*j. Let f(d) = -18*n(d) - r(d). Let i(s) = -3*s. Calculate f(i(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 2) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l + g = 3895, 3*g = -2*l + 7795. What are the prime factors of l?\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*d - 7*d. What is the smallest common multiple of 13 and d?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 438\/219 - 292\/(-15). Which is smaller: 21 or h?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10229 = -45*z - 9689 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-15 + 6 + 5)) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9041066 is divided by 4391.\nAnswer: 4388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y - 1. Let d be w(-1). Let n(i) = i**3 - 3*i**2 - 4*i + 4. Let c be n(d). Let z be c*(-2)\/(-4) + -2. Solve -3*l = -z*l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -672912 + 672911.660061. Let c = 0.34 + x. What is c rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*y**4 + y**2 + 126*y - 47283 wrt y.\nAnswer: 16*y**3 + 2*y + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 12:58 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjgjkkggbkgbjjgjk. Give prob of picking 1 b and 1 k.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 27*x**2 - 27*x + 17. Suppose 0 = 4*g - 6*w + 118, 31 + 80 = -4*g - w. Give q(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 18*u - 88. What is t(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 7*r**3 - 5*r**3 + 11*r**3 + 10459*r**2 - 5234*r**2 - 5225*r**2.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439264*v - 439305*v = -451 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 10:59 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from {y: 1, k: 2, u: 1, p: 1, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81203892988209\/13430 + 6046455171. Let h = -6\/395 - j. What is the common denominator of -5\/18 and h?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 142631*q - 285255. Determine r(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -48870 or -48957?\nAnswer: -48870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -62*a**2 + 50*a + 425. Let m(g) = 10*g**2 - 8*g - 68. Let j(y) = -4*c(y) - 25*m(y). Let k(x) = -5704*x. What is j(k(t))?\nAnswer: -65071232*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38245\/2 + 19140. Let s(m) be the second derivative of 0 - 3\/2*m**4 + k*m**2 - 9*m + 0*m**3. What is the derivative of s(w) wrt w?\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from bbllpdcbabbldbl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, 3\/5, -4\/5, 0.2, 0.5, -2.2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000052066 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-12))\/v**(-1\/12))**(-6\/7) assuming v is positive.\nAnswer: v**(-157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010183 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 + 24*k + 32. Let d be a(-24). Which is smaller: 30 or d?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + -3 + 86 + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47315823?\nAnswer: 3, 2791, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13442 by -22.\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(96) + sqrt(96)*1*5 + sqrt(96))\/(sqrt(12) + sqrt(2352) + sqrt(12)))**2*1.\nAnswer: 441\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814368.\nAnswer: 2, 3, 17, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 698744, 698749, 698740, 698711, 698656, 698569?\nAnswer: 698444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*31\/2*(-2)\/(-483). Let n = l + 22\/23. Determine v, given that -16\/7*v - n*v**3 + 0 + 16\/7*v**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3300) + ((sqrt(3300)*3 - sqrt(3300) - sqrt(3300)) + sqrt(3300) - sqrt(3300)))\/(sqrt(132)\/(sqrt(108) - sqrt(12) - sqrt(12))) + -3.\nAnswer: -3 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l - 22. Suppose 48*y = 10*y + 14060. Let b be (-18)\/(-10)*y\/111 - -3. Calculate q(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72150 divided by -150?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 20*u**2 + 87*u - 1362. What is the remainder when 6765 is divided by r(21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2298 and 301804?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 4, i: 2, l: 1, r: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*i + i, -3*l = 4*i - 7. Let v be 32\/24*l\/(-2). Suppose -t + 2 = -v. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 14*g + 2. Let y be v(14). Factor 8 - 12877*j**3 + j - 6*j**y + 12873*j**3 + 2*j**4 + 7*j.\nAnswer: 2*(j - 2)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 - 74659*u**2\/2 + 5571576425*u\/4 + 44610845000.\nAnswer: (u - 74675)**2*(u + 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9567 is divided by 147.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-5)\/(-2) + 0. Let p = 152153 - 152154. Put j, -1\/10, 5, p in ascending order.\nAnswer: p, -1\/10, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8093 + 4094 = 4*o + 3*b, -b = 2*o - 6089. What is the highest common factor of 855 and o?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 0 - v**2 + 0*v**4 + 1\/60*v**5 - 2\/3*v**3 + 24*v. Solve l(k) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 49, -10\/9, 3?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a**4 + 105*a**3 - 9449*a wrt a?\nAnswer: -96*a**2 + 630*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 0*b**3 + b**3 - 10 + 0*b**3 - 5*b + 10*b**2 + 4*b. Let d be q(-10). Solve 2*r + 6 = -d*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*4\/(-16))\/(2\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 265040.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3, -2*p = -3*s - 0*s + 9. Suppose 0 = y - 8 + s. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 5*v**2 - 1 - 12*v**3 - v + 5*v**3 + 5*v**3. Give k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10153434 (base 7) in base 3?\nAnswer: -1121100221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370 and 10471.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from nnnfnnnnnfymfmnnk.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, -53627, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 170 + 131 = 0. Solve -i*f + 3*s + 18 = 0, 18 = 9*f - 4*f - s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 134, 6, -21?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103019908\/635 + -162236. What is the common denominator of y and 45\/254?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbh when three letters picked without replacement from {h: 4, b: 2, p: 3, u: 4, q: 3}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2 - 582790*n = 0. Calculate n.\nAnswer: -582790, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 51968.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-6\/13)*r*r)\/r**(4\/15))**46)**(-2\/7) assuming r is positive.\nAnswer: r**(-22816\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 9*f = -12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + (-9 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -2971401.5.\nAnswer: -2971401.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/10*15\/6. Suppose -x = -2*l + 4, 2*x + 5*l - 26 = o. Let g be 1 + (x + -3)*2. Solve g*f + 1 = 5*r - 10, -9 = -3*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 7 = -3*h, 3 - 27 = -5*h - 4*f. Suppose 0 = 4*w, 2*w + h = -x - 0*w. Is 4 a factor of (-4)\/2*(x - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 d when four letters picked without replacement from {d: 9, i: 7}.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70907 - -70911. Let a = -2 - -34. Calculate the highest common divisor of i and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7235 - 3835. List the prime factors of p.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1216330*j**2 + 28648107 wrt j?\nAnswer: 2432660*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2. Let d(r) be the third derivative of -49*r**5\/60 + 473*r**2. Determine d(i(g)).\nAnswer: -49*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 1929.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - -87. Let q = g - 177. Let h = q - -84. What is the remainder when 147 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*n - 100*n + 5*n**2 - 2*n**2 - 2*n**2 - 390*n.\nAnswer: n**2 - 198*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11382073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1506 + 11?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + -72. Let z = -83 - q. Suppose -5 = -5*o - 4*y + y, z = 4*o + 2*y - 6. Solve -10 = 2*t - o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**4\/36 - 7*v**3\/18 + 2*v**2 + 1333*v. Factor f(n).\nAnswer: (n - 4)*(n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 8605*t**2 - 156825*t - 547785.\nAnswer: 5*(t - 21)*(t + 3)*(t + 1739)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 329\/5 + -66. Suppose 5*b = 2*a + 15, 4*b - b - 9 = -a. What is the third biggest value in 0.2, g, b?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 8*o**2 - o. Calculate t(-3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -237. Round j to the nearest ten.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 + 17. Let t(i) = -i**2 + 6. Let r(w) = -6*a(w) + 17*t(w). Let g(c) = -3*c - 2. Determine g(r(u)).\nAnswer: -3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 345*y**4 - 401*y**4 + 63*y - 3 + 4 + y**3 - 2*y**3 as m + q*y**3 + g*y**2 + r*y**4 + t*y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1. Let v be 8\/10*70\/(-4). Suppose j = -4 + 6. Suppose -5*t = -8 - j. Let x(r) = -r**2 - 8. What is t*x(a) + v*m(a)?\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*f**5\/7 - 36702*f**4\/7 + 15632*f**3 + 73776*f**2\/7 - 438688*f\/7 + 292128\/7 = 0. What is f?\nAnswer: -2, 1, 2, 18258\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -39, -171, -393, -705, -1107?\n\"Answer: -45*r**2 + 3*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.54 * 0.2.\nAnswer: 1.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338592 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r + 34*r + 887*r**3 - 890*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + d - 1681, -2*n + 4*d + 1892 - 226 = 0. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170 + 184. Is 14 equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -5\/6 (b) 5\/3 (c) 1 (d) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3243459378.\nAnswer: 2, 3, 47, 11501629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -3*h**5\/20 + 151*h**4\/4 + 2*h**3 - 906*h**2 - 4*h - 71. Solve p(w) = 0 for w.\nAnswer: -2, 2, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 7*y = 5*b - 148, -2*b + 5*y = -43. What is the remainder when 171 is divided by b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.054 - 74.946. Let a = -67.9 - z. Let d = a - 2.1. Sort 0, d, 1\/2 in increasing order.\nAnswer: 0, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 9*u**2. Let m(n) = -n**2 - 1. Let v(l) be the first derivative of -4*l**3\/3 - 3*l - 11. Let x(h) = 6*m(h) - 2*v(h). Determine c(x(y)).\nAnswer: 36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -614792.16 and 4.\nAnswer: -614788.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 5, -3653.5, -5, -3 in ascending order.\nAnswer: -3653.5, -5, -3, -4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6\/11 + (21711984\/462)\/19 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - r + 3*r)*(r - r - 2*r)*(-9*r**3 + 3*r**3 + 0*r**3).\nAnswer: -36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 64495?\nAnswer: 64495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -494200 and 0.03.\nAnswer: -14826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a**2 + 42*a - 70. Let o be y(6). Solve 2*s - 5 = -5*f, 0 = 2*s + 2*s - o*f + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100804 and 2027564?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, -262\/2475, 1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-44) + (-9)\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20580212 - 43.\nAnswer: -20580255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/30 + (-38)\/(-10). What is the second biggest value in c, -5\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0 + 3\/2*v**3 + 24*v + 0*v**2. Let x(n) = -6*n**2. Calculate l(x(c)).\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3137*c + 3146*c = -63 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 - 9638*q - 28932.\nAnswer: 2*(q - 4822)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 58669688 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -871220, -870989, -870758, -870527?\n\"Answer: 231*x - 871451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/147 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (9 + -5)*-1. What is the second biggest value in -1, -0.2, 0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/6 and 13\/237?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4))\/(-1*4\/(-72)). Let q be 3\/s + 44\/6. Let u be (-922)\/(-12) + (-13)\/(-78). What is the highest common factor of u and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -783*y**7\/7 + y**3\/3 + 155*y**2 - 550. Find the third derivative of c(k) wrt k.\nAnswer: -93960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqcccqccqccc. Give prob of sequence qccc.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z - 1519*z**3 + z + 1518*z**3 - 4*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + sqrt(27)\/(sqrt(27)\/sqrt(3)))**2 + sqrt(21)\/(sqrt(7) + sqrt(7) + sqrt(1764)\/sqrt(7)).\nAnswer: -63*sqrt(3)\/8 + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1954 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + sqrt(5) + -3 + sqrt(5) + -1 - (5 + ((1*sqrt(45) + sqrt(45))*2)**2).\nAnswer: -737 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*r - 5*r + 282 = 0, 2*i - 4*r - 596 = 0. What are the prime factors of i?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from ppsp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -487800 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -5, 2797, 11, -4 in increasing order.\nAnswer: -5, -4, 3, 4, 11, 2797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1. Let b(j) be the third derivative of -5*j**4\/24 + 3*j**3\/2 - 6*j**2. Let l(t) = -b(t) + 2*v(t). Differentiate l(p) with respect to p.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 149*y**4 + y**3 + 533*y + 71103?\nAnswer: 596*y**3 + 3*y**2 + 533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + i + 5. Let f be b(0). Suppose 1 = -2*d + v + 5, 0 = f*d + 2*v - 10. Suppose 795*t = 797*t - 16. What is the highest common factor of d and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -27 - 3?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52.847 + 53. Let j = -0.047 - d. Does j = -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/2))**(1\/29)*v**(-2\/17)\/((v*v\/(v*v\/v**(-4)))\/v) assuming v is positive.\nAnswer: v**(4797\/986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 2. Let d = 5 - y. What is the third biggest value in d, 5, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233023 - 11?\nAnswer: 1233012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (-4 + sqrt(252) + -1)**2 - 4*(1 + sqrt(252))**2) + 4.\nAnswer: -731 - 102*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (10 - -4)) + (-2 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24832810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 777.3475 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 1540207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1431 - -44366\/31. Let b = -99\/155 - n. Sort -3, 20, b, 2 in descending order.\nAnswer: 20, 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(-1428)\/(-70)*(-6)\/12\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/120 + r**5\/6 + 3*r**4\/8 + r**3\/2 + 4*r**2. Let l be a(-9). Solve -c + 0*c = -l for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 10*a**3 + 25*a**2 - 100*a + 50. Let o(m) = -m**2 + m - 2. Determine -25*o(g) - v(g).\nAnswer: -10*g**3 + 75*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9373 is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -4*m**2 + 1\/24*m**4 - 1\/2*m**3 + 0 + 0*m. Let o be k(7). Solve -4*j - j - 2*c + 25 = 0, 20 = o*j + 5*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 15) in base 9?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5132 + 12?\nAnswer: -5120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4*x + 784, -35*x + 819 = 4*s - 36*x. Calculate the remainder when s is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 4*c + 7. Let l be ((-36)\/3)\/((-8)\/(-36)*-3). Is h(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -38, -67, -108, -161, -226?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5*(-3 - -4) - 2. Suppose 5*t + 0*t - 6 = -2*u, -9 = -3*u - 2*t. Solve r + s = u, -r + 2*s = s - k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 558 by -9.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.6 + 3. Let r = -7 - -7.6. Let x = r - v. Is -2 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwofofowwwww. Give prob of picking 2 o and 2 w.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 - 1353784?\nAnswer: -1353772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 93.5 + -24.3\nAnswer: 69.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40013 (base 5) to base 11.\nAnswer: -1980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 137433773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 2, 174 in decreasing order.\nAnswer: 174, 23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * 6.3.\nAnswer: 1.197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2272057 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/10, -1, -10, -0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22964)\/(-74633) - 46*2\/806.\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8149462794 to the nearest integer?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130059 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let d(a) = 2*a + 0*a + 5*a + 0*a. What is c(d(r))?\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67282, 67276, 67266, 67252, 67234?\nAnswer: 67212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 5, 22, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 192. What are the prime factors of n?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 606083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**5 + 6*k**4 + 26*k**3 - 22*k**2 - 48*k + 40 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30202.98053 + 30204. Let s = a + -1.02. Round s to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - (-36)\/8)*-14. Calculate the highest common divisor of 21 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1624 and 31088?\nAnswer: 217616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 599 + 666 - 415 = 85*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*x = -21, 2*w + 5*x = 3*w + 9. What is the third derivative of -23 + 10 + w + 9*t**3 + 224*t**2 + 7 wrt t?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 11*i - 1. Let j(f) = -104*f**2 - 66*f - 40. Calculate j(p) + 6*w(p).\nAnswer: -86*p**2 - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 132145?\nAnswer: 132145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 885 and 873435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a day in minutes?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 39 (c) -2\/13 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-80)*10\/(-22)*(-27)\/27.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 8*x + 4. Let a be p(-8). Suppose a*d + 124 + 98 = c, 0 = -3*c + d + 677. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2104 - -1070.3.\nAnswer: 3174.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 137666.4 rounded to the nearest one thousand?\nAnswer: 138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 581434 and 581434?\nAnswer: 581434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 175\/75*(-18)\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 1)\/((-3)\/(-3)). Suppose -t + 8 = m. Suppose 10*a - 21 = t*a. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**3 - 20*y**2 + 155*y + 350 = 0. Calculate y.\nAnswer: -7, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.19 and -274.\nAnswer: 52.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*s = 0. Suppose -5*r - 3*c + 2*c + 20 = s, 4*c = -r + 23. Solve 0*w - 16 = -r*w - a, w + 4 = 2*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**2 + 35*j**4 + 3*j**3 - 30*j**4 + 4*j**2.\nAnswer: j**2*(j + 1)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**3 - 5*u**2 + 4. Let j(t) = t**3 + 1. Let g = -6 - 17. Let m = g + 27. Determine m*j(x) - k(x).\nAnswer: -x**3 + 5*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*p**3 + 6*p + 5 - 2*p - 5 to the form t + u*p**2 + n*p + c*p**3 and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -1 + (174 + -90 - 45).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from iiimmiimiimiimiiimi.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(12\/(-3954)) + -4. Suppose 2*z - 38 - 26 = 0. Let o = b - z. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9207261 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 1:23 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h + 17*h - 6*h. Let p(k) be the third derivative of 0 + 0*k + 0*k**3 + 1\/8*k**4 + 10*k**2. Give l(p(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.1837 - 0.1837. Which is the smallest value? (a) -6\/17 (b) -3 (c) y (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 749 divide 278635490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**6\/45 - o**5\/120 + o**4\/24 + o**3\/3 - 1. Let t(x) be the third derivative of b(x). Let s be 3\/2 + (-7)\/14. What is t(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3034 - -3525030?\nAnswer: 3532104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -31. Solve -5*p - 35 = -5*t, -10 = 3*p + l*t - 3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*l - 5850 = 63*l. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64268676 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 29*y = -18. Let l be (-2)\/(42\/(-57)) - (6 - 3). What is the fourth biggest value in 1\/6, l, -4, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h - 229. What is b(24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 6*k**3 + 3*k**3 + (0*k + 6*k - 2*k)*(-2*k**2 + k**2 - k**2) in the form t + p*k**3 + w*k + n*k**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from {q: 4, p: 5, t: 1, h: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.01, 0.1, 98 in increasing order.\nAnswer: -0.01, 0.1, 3, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -91, -104, -123, -148, -179, -216?\n\"Answer: -3*f**2 - 4*f - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*o + 213, -346 = -5*o - 5*g + g. Calculate the remainder when o is divided by 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 10862?\nAnswer: 32586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7208, -7203, -7196, -7187, -7176, -7163?\n\"Answer: g**2 + 2*g - 7211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16 + -7 + 39\/3. Suppose 0 = 3*g - 3*q - 93, -5*q = -0*g + 4*g - 142. What is the greatest common factor of g and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 54*n. Let r(d) = -1240*d + 1. Determine a(r(l)).\nAnswer: -66960*l + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1116, 223, 1, -5 in decreasing order.\nAnswer: 223, 1, -5, -1116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7012*p + 30279 = -13905*p + 395608 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58773 or -32?\nAnswer: -58773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34361416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5 - 3*j**2 - 114*j**3 - 1 + 232*j**3 - 117*j**3 - 2*j. What is b(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - (-10)\/4)*(-1808)\/(-8). Let y = -49 + q. Calculate the remainder when y is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2075 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**3\/6 - 13*w**2\/2 - 16*w. Differentiate g(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -66.96 to the nearest integer.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**2\/7 - 40*h\/7 + 72\/7 = 0. Calculate h.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8581241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*o + 1506 - 6312 = 0 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 0.05, -27, 5, -0.04, -3\/8 in increasing order.\nAnswer: -27, -3\/8, -0.04, 0.05, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*((-44145)\/729 + 56)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29624.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 53 - 41. Let z be 2\/w + 78\/18. Which is the third biggest value? (a) -0.12 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130765 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 14*q**2 + 11*q - 149. What is v(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2770*t - 9. Let r(u) = 693*u - 2. Calculate -2*h(x) + 9*r(x).\nAnswer: 697*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**(2\/37)*m**10\/(m\/((m\/(m\/m**9*m)*m)\/m)) assuming m is positive.\nAnswer: m**(627\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -29 + 102 - 26 - 52 + o**2 - 11*o. Let h be 101\/4 - (-4)\/(-16). Let j = -14 + h. Give z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49319367 - 14119364. Suppose -s + 3*d - 17600003 = -3*s, 4*s = -3*d + l. Round s to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(84\/9))\/(-2*36\/120)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - b = -4*b + 101, 4*l + 2*b = 98. Suppose -2*q - 28 = -2*p, q - 38 - l = -4*p. Solve -p = -3*t - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -27*v**5 + 21087*v**4 - 63054*v**3 + 27928*v**2 + 62304*v - 49792 = 0.\nAnswer: -1, 4\/3, 778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 k when four letters picked without replacement from {g: 2, i: 1, z: 1, b: 1, k: 1, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**5\/20 + 5*x**4\/12 - 5*x**3\/3 + 3*x**2 - 2*x + 1514. Give y(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4197?\nAnswer: 3, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**4 - 210369*s**2 - 388852.\nAnswer: 4*s**3 - 420738*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-1)\/(75\/222))*-2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z - 4*z)*(-3*z + 3*z - z + (1 - 2 - 1)*(23*z + 11 - 11) + z - z - z + 5*z + z + 2*z).\nAnswer: 80*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6784 - -6789. Solve -2*g + u*y = 1 - 3, 4*g - 4 = y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from rwrrrwr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**5 - 208*k**4 + 2692*k**3 - 8584*k**2 + 9904*k - 3808 = 0. Calculate k.\nAnswer: 1, 2, 14, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012434 (base 5) in base 6?\nAnswer: 204535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/3, 1, 19, 10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 + 3*f - 353 + 67 + 55.\nAnswer: 3*f - 477","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 18)\/5 + (-4 - -1). Let z(t) be the third derivative of -1\/330*t**5 + l + 1\/33*t**3 + 0*t - 4*t**2 + 0*t**4. Determine n so that z(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 748 or 0.3?\nAnswer: 748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 315115 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.369212 hours in microseconds?\nAnswer: 8529163200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**(-27)\/(h*h\/(h\/((h**(-4)*h)\/h*h))*h\/h**20))**(1\/3) assuming h is positive.\nAnswer: h**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14181, 14565, 14949, 15333, 15717?\n\"Answer: 384*i + 13797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 0*i + 2 + 1 - 2*i**5 + 3*i + 3*i**5. Differentiate j(z) with respect to z.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - k**2 + 0*k**2)*(4*k**2 - 3*k**2 - 4*k**2) + 5*k**4 + 4*k**4 - 2*k**4.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 59, -1\/3, -12 in ascending order.\nAnswer: -12, -1\/3, -0.1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 4*f**3 - 3480250*f**2 + 757002663432*f + 2649551955246 = 0.\nAnswer: -7\/2, 435033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 22*s + 64. Give v(-24).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -28.6. What is the fourth biggest value in 3, v, -3, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - g - 5. Let u be n(2). Solve 0*z + 2*z + 10 = 2*f, 4*f - u = -z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-97)\/2*(-1 - (-9 + 2)). Let z = -207 - o. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -6 + (1 - 1). Let a be 221\/(-429) + 2\/11 + 0. Put 6\/11, a, u in descending order.\nAnswer: 6\/11, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*j**2 + 2 - 4*j**2 + 1 in the form r*j + v + x*j**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/96*2*9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -90\/7, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-51))\/((-240)\/360).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) -2\/13 (d) 0.031 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34853 (base 11) to base 7.\nAnswer: -266366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5831, -2\/3, -12\/11, -4\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 594 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 5*j**2 + j + 7. Let h be s(-5). Suppose -h*t = 2*t. Which is the closest to 1\/4? (a) -0.1 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 8) + 1 + (13 - 30) + 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1300 and 18252?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 556 by 278.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -19. Let o = r - 29. Let i(c) = -c - 2. Let w be i(o). What is the highest common divisor of 45 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-4))\/(18280\/2032 + -9). Let u = q + -493. Calculate the greatest common divisor of 36 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-24 - 0) + -2 + (8 - -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 44*m**2 - 10*m + 435. Let r be n(44). Is -179 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4008 * 0.76\nAnswer: -3046.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 7668*h - 23040.\nAnswer: 4*(h - 1920)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1217 and 3.82?\nAnswer: 4648.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -7 (c) 3\/8 (d) 0.262\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2 + 6340*d - 12672 = 0.\nAnswer: 2, 3168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.46? (a) -0.5 (b) -1\/3 (c) -1\/8 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204886.\nAnswer: 2, 109, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6452?\nAnswer: 2, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 456 = -155*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6528765*l**2 + 26408301.\nAnswer: 13057530*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -676 and 164.\nAnswer: -110864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685624 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/4398 and -50\/8063.\nAnswer: 48378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a + 5*v + 10 = -32*a - 66, v - 1 = -4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 14*n + 122. Let m be p(-20). Solve -t + 3*j = -6*t + 9, -j + 3 = m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 4:12 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -1571067*l**2 + 30760*l + 12304. Let v(j) = -766*j**2 + 15*j + 6. Let m(i) = 3*n(i) - 6152*v(i). Let h(f) = f. Give m(h(g)).\nAnswer: -769*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 0.02, 3, -5, -3454?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**7\/42 + a**6\/6 - a**5\/2 + 5*a**4\/6 - 5*a**3\/6 - 2*a**2. Factor l(w).\nAnswer: -5*(w - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 0 - 5*d - 2 - 31*d**2 + 37*d**2. Let y(p) = -p**2 + p. Let l(f) = 4*f - 5 - 5 - 3*f. Let w be l(5). Calculate w*y(j) - b(j).\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:06 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9828, 1, -2, 2 in decreasing order.\nAnswer: 2, 1, -2, -9828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5443750 is divided by 5443740?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 8*w**2 - 15*w + 35. What is the hundreds digit of z(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -486626.4559 to the nearest ten.\nAnswer: -486630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 753 = -26843. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 6*j - 4. Let y be p(-7). Suppose -4*u + y*u = -1. Calculate the greatest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)\/(sqrt(5)*1))\/((2*sqrt(77) + sqrt(77) - sqrt(77))\/sqrt(11)) - (sqrt(720) + 4*(4*sqrt(720) - sqrt(720)) + sqrt(720) + 4)**2.\nAnswer: -141136 - 2687*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4667756 is divided by 637.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3796278?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16280.4874 rounded to zero decimal places?\nAnswer: -16280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2. Let l be 94\/18 + (-4)\/18. Suppose -5*y - 4*d + 9 - 2 = 0, -3*y + l*d - 18 = 0. Let g(c) = -c**2. Determine y*w(t) + g(t).\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(440))\/(sqrt(640)*-3 + sqrt(640) - sqrt(10) - sqrt(10)))**2.\nAnswer: 44\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 322 - 2573\/8. Let s = 16 + -17.7. Let m = 2.3 - s. What is the second smallest value in m, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/k**(-2))\/k)**(-2\/7)\/((k\/(k\/(k\/(k**(-11)\/k*k))))\/k**(-10\/3)) assuming k is positive.\nAnswer: k**(-340\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24851917294 from -0.226.\nAnswer: -24851917294.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*p**5 + 4090095*p**4 - 54263*p - 64.\nAnswer: 140*p**3 + 49081140*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89 + 55*v**2 + 13676*v - 13676*v wrt v.\nAnswer: 110*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5 + 3*x**2 - 16*x - 15 + 9*x**2 - x - x**3 - 14. Let z be j(10). Is z greater than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14540 divided by 2908.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11104.8 and -0.127?\nAnswer: 11104.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 3) + -10 + 14\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360 a factor of 89487921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*k, -n = 3*n - k - 45. Suppose u - n = -2*u. Solve 4*q + u*h = -0*q, -4*q = h - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8728560.\nAnswer: 2, 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 5*s + 3. Let c be h(4). Let t(j) = -j**2 - j. Let a = -38 + 28. Let k(l) = 8*l**2 + 10*l. Calculate a*t(x) + c*k(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from {g: 3, t: 5, n: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57 + 156. Suppose 4*d + m = z, -5*m + 79 = 2*d + 2*d. Suppose 2*j - 4*j = -d. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b434 (base 16) in base 9?\nAnswer: 180155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-3\/5)*r**(32\/5) assuming r is positive.\nAnswer: r**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**4\/12 + 3*i**2. Let c(u) = -3 - u**2 + 3. What is l(c(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*m - 11125 + 2725. Calculate the greatest common factor of 475 and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**4\/24 + g**3\/3 - g**2. Let r(q) = q**2 + q + 150. Let x be r(0). Suppose -30*u = -0*u + x. Give v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1223239 + 195927\nAnswer: 1419166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1633, 1425, 1217, 1009, 801, 593?\n\"Answer: -208*u + 1841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 57) + 28 - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from avwaaaaawvaaaawaaa?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-4 + 1 - -10). Solve -2*j = u*j - 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1361\/9 - (-10)\/(-45). Let x = p + -38. What are the prime factors of x?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.247 - 0.247. What is the smallest value in 1\/4, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12 + 1 + 16*x**2 - 4*x**2 wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3*9\/72 + 1415\/40 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2587 and 260?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -49, -117, -207, -313?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {x: 3, p: 9}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -252, -251, -250, -249?\nAnswer: -248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 60 = -9102*y + 9100*y + 5*u, 4*y + 124 = 4*u for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5524 = 4*w, w + 5*h - 664 = 699. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i - 161. Determine t(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4407238 is divided by 1276?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let d = -2603 - -1305. Let z = -1293 - d. Solve u*c = z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 2242200?\nAnswer: 2242141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 1:11 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 340760043 rounded to the nearest one hundred thousand?\nAnswer: 340800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, c: 4}. Give prob of picking 2 m and 2 c.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -11327040 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*z + 26*z + 5556 = 0. Let r = 966 + z. Calculate the highest common divisor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -9 (b) -0.069 (c) -11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1104488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from itpap.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 11*y**2 + 4*y - 10. What is the remainder when n(2) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58673184671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204 - 204.03. Let w = -0.01 - -4.01. Let s = -8 + w. Which is the second biggest value? (a) s (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*-1)\/sqrt(4) - sqrt(187)\/(sqrt(22)\/sqrt(2)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219646063 divided by -7.\nAnswer: -31378009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (4 + (5 - -1 - 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - h**2 + 4*h + 2. Suppose -c = -3 + 1. Suppose 0 = 3*n - 2*n - 3*j + 9, 12 = -c*n + 3*j. Calculate d(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1634873337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56966 and 672?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 600564313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15980, -15912, -15798, -15638, -15432?\n\"Answer: 23*n**2 - n - 16002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*-237\nAnswer: 4.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2554423 is divided by 62303.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-132756 + 6)*384\/(5 - (-908)\/(-180)). Round g to the nearest 1000000.\nAnswer: 1147000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -11. Suppose 0 = -5*j - y + 7. Let i(d) = -12*d + 1. What is i(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -21*c**3 + 27. Let w(b) = -8 + 13 + 35 - 31*b**3. Let t(l) = 8*r(l) - 5*w(l). Find the first derivative of t(k) wrt k.\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 719 is divided by 225?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 8*t + 17*t + (-1 + 0 + 3)*(4 - 4 - t) - 3 + 3 - 2*t + 3*t + 0*t - 7*t + (-t + 5*t - 2*t)*(-1 - 1 + 0) + t - 3 + 3.\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 645.\nAnswer: 1\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*o**2 + 408095*o - 816690.\nAnswer: 5*(o - 2)*(25*o + 81669)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -11. Suppose 3*o - 5*l = 83, j*o + 5*l = -o + 165. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232 + -250.6. Let o = -3.6 - p. Let x = o - 14.9993. What is x rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 17. Suppose -24*r - 378 = -42*r. Suppose -31 + r = -v. What is the remainder when p is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -150, 0.3, -2\/7 in decreasing order.\nAnswer: 8, 0.3, -2\/7, -1, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - g + 0*g + 0*g - g + (1 - 2*g - 1)*(2 + 0 - 1) - 3*g - 2*g + 6*g + 2*g + g - 5*g)*(2*g + g - g).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*w + 36. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**3 + 101*m**2 - 103*m - 10249. What is h(47)?\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 135\nAnswer: -675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22915 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 631541357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 668 = -7*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 r when three letters picked without replacement from {g: 1, n: 1, q: 3, l: 4, r: 4}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 163354?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -42272 divided by 10568\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3438203m to centimeters.\nAnswer: 34.38203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5241, -10045, -14849, -19653, -24457, -29261?\nAnswer: -34065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(105\/945)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1 - 7) + 298 + -281 - 38.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 48 = -2*t. What is the remainder when (-2)\/9 + 2975\/63 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144108 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4, 0.02, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 812*c + 1498 + 178 + 760 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 22 = -b - 32, b - v + 15 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 9) in base 14?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -7. Let k(z) = -7*z + z**2 + 2*z + 4*z**2 + 8*z**3 - 9*z**2 + 11 + 5*z**2. What are the prime factors of k(p)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22209 + 0.2\nAnswer: 22209.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((90\/(-5))\/(60\/8))\/(14\/35)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(220) - (-2*(sqrt(220)*-2 + sqrt(220)) + sqrt(220)))\/sqrt(11) + (1 + sqrt(320)*-1)**2) + 2.\nAnswer: -1282 + 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1)*(3*u + u + 0*u) + (3 - 5 - 1)*(1 - u - 1) - 6 + 4*u + 6.\nAnswer: 23*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, e: 3, y: 2, a: 1, z: 1, w: 1}. Give prob of picking 1 e and 2 i.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (51\/6 + -9)\/(1 - 2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 9. Suppose 5*t - g = 16. Let p be (-2 + 28\/20)*-5*5. What is the highest common divisor of t and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 3*d**2 - 2*d + 7. Determine v(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o. Let j be 6\/(-1)*(-6)\/9. Let x = -2 + j. Calculate v(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, 476, -4, 32 in descending order.\nAnswer: 476, 32, 5, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 316864?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -4124 and -75.345.\nAnswer: -4199.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378638 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 11020?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwh when three letters picked without replacement from {w: 2, h: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*s - 26, -3*s - 16 = 8*y - 4*y for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 3:42 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 8*j - 1. Give g(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*t + 3142*t = -766*t - 263336 - 12654 for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 31700?\nAnswer: -31675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.034 - -0.266. Let b = -5.85 + -0.15. Let v = b - -7. Put 3, a, v in decreasing order.\nAnswer: 3, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4279199 is divided by 81?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7233.148ng?\nAnswer: 7.233148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7 = 4. Is 1\/12 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 165428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 1597155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -3\/10*h**6 + 0*h**5 + 0*h - 4\/3*h**4 + 0*h**3 + 0 - 9*h**2. What is the second derivative of u(x) wrt x?\nAnswer: -216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-15))\/(t\/(t*t\/(t\/t**20)*t))*t**12*(((t**(-2)\/t)\/t)\/t)\/t assuming t is positive.\nAnswer: t**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 1:14 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -41 - (-13 - 12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.89 - 0.11. What is the nearest to u in 5, 0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1180*v**2. Let b(p) = -p. Calculate j(b(q)).\nAnswer: -1180*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*m**3 - 13*m**2 + 13*m**2.\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.38419l in millilitres?\nAnswer: 39384.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - 18\/(-14) - (-4 - -1). Which is the biggest value? (a) -2\/5 (b) x (c) -4\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1447482 and 19550?\nAnswer: 782","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 267312?\nAnswer: 267315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24285 - 7992. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1 + (-12)\/(-8)) + -2. Let n = 149\/335 + -3\/67. Factor 0*h**3 + n*h**4 + j*h**2 + 0 + 0*h.\nAnswer: 2*h**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 4*q - 19. Suppose -5*w = -q - 8. Find the third derivative of 6*i**2 - 4*i**4 - 7*i**2 + w*i**4 wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -j - 5*i, 25 = 5*j - 2*i - 2*i. Is 3\/58 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*r + 20 = 0, -5*r - 6 = 5*l - 1. Suppose -l*f = -3*q - 3, -q - 1 = -3*f - 0*f. Put 3, 1, f in decreasing order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2745 = 2*p + 4*q, 0 = -p - 2*q + 543. Suppose p*v = 554*v - 291. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7183536?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4244*m - 25523. Calculate j(-5).\nAnswer: -4303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/11, 3, 0.4, -17, 2\/7 in increasing order.\nAnswer: -17, 2\/7, 0.4, 7\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/4*(-324)\/(-567)*7. Which is bigger: k or 294?\nAnswer: 294","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6633667 to the nearest integer?\nAnswer: 2576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 870527141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 27. Suppose -4*d + b = 118. Is d greater than -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (2 - (-23 - (-14 + -5)))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 38*t**2 + 68*t + 590. Is z(-11) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 98750.35mg?\nAnswer: 98750350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 2411 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.501219 to one dp.\nAnswer: -20.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 3 + 14 + 3*h. Let f be r(-5). Suppose -8 = -f*n + 2*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9368 + 0.0632. Let h = -143\/3 - -48. Which is the closest to h? (a) p (b) -20 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1) + -1 + -5. Let j(b) = -b**3 - 8*b**2 - 8*b - 5. Let f be j(n). Solve -f*k - 6 = -0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 - s**3 + s - 2*s**3 + 1 - s**3 - 3*s**2 - 2*s**4 to the form c*s**4 + w*s + n + d*s**3 + b*s**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 463263?\nAnswer: 463264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-3))\/((-1)\/(-9)). Suppose 22 = 4*t + 2*q, -4*t - 4*q + 23 = -3*t. Solve 0*g - t*g - 3*o = -i, g - 4*o = -12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -16.255.\nAnswer: -7.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 6*m + 12*m. Solve m = 3*l - 3*s - 12, 3*l - l - 3*s = 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 25*p - 3. Calculate c(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 25. Determine x(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7*p + 6 = -4*p, -4*f + 4*p = -48. Let h(c) = -7*c + 9 + 114*c - c. Is h(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2101 = 5*y + 2*x, -408 = -y - 4*x + 23. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5462 months in years?\nAnswer: 1.37885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 + 0.6. Let g = 0.1 - q. Let m = g - 0.3. What is m rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**1\/r)**(-16\/7))**(-16)\/((r**(2\/3)\/r)\/r*r*r*(r*(r*r\/(r\/r**4))\/r)\/r*r*(r\/(r*r**(2\/7)))\/r*r\/r**(-4)*r) assuming r is positive.\nAnswer: r**(298\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 18, 1\/2, -2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77806 is divided by 305.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 18*z - 456. Calculate c(24).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -17. Let o = v - 4.9. Let p = -0.887 - o. What is p rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66901?\nAnswer: 149, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/2)*t**(2\/17))\/t**40)\/((t**(-2)\/(t\/(t**(-5)\/t)))\/t**(-3\/20)) assuming t is positive.\nAnswer: t**(-11061\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3270400 and 480?\nAnswer: 9811200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84601 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**5\/5 - 65*h**4 - 6138*h**3 + 58806*h**2 + 428*h. Let o(r) = 0. Calculate r.\nAnswer: -99, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4732.8994414 + -4732.9. What is p rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -18, -41, -100, -213, -398?\n\"Answer: -3*m**3 - 2*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 3487626 - 3487626.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 179312, 179553, 179948, 180491, 181176?\n\"Answer: -n**3 + 83*n**2 - n + 179231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2 - 22*j + 13*j + 13 + 11*j. Suppose 4*t + 3 - 35 = 0. Let z be a(t). Solve -5*b = -2*w + z, 0 = -3*w - 0*w + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 3*a**2 + a - 3. Let u(o) = 4*o**3 - 7*o**2 - 3*o + 6. Suppose -25*m = -126 - 49. Determine m*c(p) + 3*u(p).\nAnswer: -2*p**3 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*v - 15, -2*t = t - v + 5. Suppose 2*w - 54 = -2*i, t*i - 4*i = -2*w - 84. Suppose -2 + i = 3*u. What is the least common multiple of u and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1055873728 by 11603008.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16881, -29812, -42743, -55674, -68605?\nAnswer: -81536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + sqrt(45))*2)**2 + 5 + (sqrt(175)\/sqrt(5) + sqrt(35))\/sqrt(7) + -3.\nAnswer: 26*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*b**4*u**3 + b**4 - 2*b**3*u**3 + 55*b**2*u**3 wrt b?\nAnswer: 1416*b*u**3 + 24*b - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/20 and -99\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 25, -1022 in ascending order.\nAnswer: -1022, 0.1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96*19\/((-57)\/10). Let l = -317 - b. Solve 2*p - l*p - 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + n**2 + 3*n**2)*(-1 + 1 - 4*n + 2 + 7*n - 2 + 0*n + 4*n - 2*n + (-1 - 3 + 2)*(-3 + 3 - 2*n) + 7*n - 17*n - 18*n).\nAnswer: -38*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-42 + (-79 - -100 - (17 + -3))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**4\/4 - u**3 + 7*u**2\/2 + 10*u + 8. Let q be c(-4). Let g be (-15)\/5*q\/6. Let h(f) = -f**2. Determine h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 5:13 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1660022089.\nAnswer: 11, 29, 5203831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Let f(n) = -26*n - 3 + 4 - n**2 + 24*n. Let t(r) = -1. Give l*t(z) + f(z).\nAnswer: -z**2 - 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 7 = 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s - 4. Let b(m) be the second derivative of -5*m**3\/6 + 5*m**2\/2 + m. Suppose -15 = -7*r + 2*r. What is r*t(f) + 2*b(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 582769433476+67\nAnswer: 582769433543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 16*r**2 - 37*r - 38. Give h(18).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/3, -5, 0, 2071.3, -1, -0.16?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6341 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 60 = 336. Let f be (-4)\/(-4) + 10\/1. What is the highest common divisor of z and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 2*q**2 - 5*q + 11. Let n be s(0). Solve -n = 5*f - z - 30, 13 = 3*f - z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 7, -2815 in descending order.\nAnswer: 41, 7, -2815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let h = 64 - 62. Suppose -16 = 5*z + h*g, 10*z + 21 = 7*z - 5*g. What is the closest to d in 2\/9, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -2, -51\/7, -1989?\nAnswer: -1989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9 + 2. Let p = -44.7 - -45. Which is the second biggest value? (a) f (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -7. Is 1\/(u + (-84)\/85) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2. Let c(q) = 46*q + 6. Let w(r) = -139*r - 16. Let p(z) = 8*c(z) + 3*w(z). Determine p(y(v)).\nAnswer: 98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**6\/b)**(-4\/11)\/(b**(-21)\/b**(2\/53)) assuming b is positive.\nAnswer: b**(10993\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**3 - 42*l**2 + 240*l - 200 = 0?\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 5:21 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6*63\/147)\/((-2)\/(-16)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -274.0236 + 0.0236. Let y = v + 273. What is the closest to 3 in -5, -2, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**3 - y**3 + 2*y**3 + (3 - 5 + 3)*(-5 + y**3 + 5) + 2*y**3 + 0*y**3 + 0*y**3 + (y**2 - 5*y**2 + 2*y**2)*(y - 2*y + 3*y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/(-57)*1*-3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 440*w**2 - 3*w + 211 wrt w.\nAnswer: 880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1210?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42966 and 1386.\nAnswer: 42966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 1075*y**3 - 3*y + 2. Let o(u) = 4*u - 19. Let c be o(5). List the prime factors of h(c).\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - 2 - (-36 + 16 + 16)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -11. Suppose q + 5*d = 2*q + 21, v*q - 35 = -3*d. Suppose 60 = q*f - 0. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -65*j**2 - 54*j - 1. Calculate p(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1518 + 66 = 6*c. Calculate the greatest common divisor of 5632 and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*y = -n - 44, y = 0. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*1\/(-2) + 669676\/56 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g - 6. Suppose 4*y = -5*z + 65, 0 = g*z - z - 5*y - 59. What is the third biggest value in z, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 10*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -304 * -0.3.\nAnswer: 91.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1864191*p - 2180053 wrt p.\nAnswer: 1864191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 221600466.213951 - -5?\nAnswer: 221600471.213951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -360, -732, -1258, -1950, -2820, -3880?\nAnswer: -5142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2\/79, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 7*g**2 + 3. Let s be (-2)\/9 + 260\/36. Let q be o(s). Let j(i) = q*i - 2*i + 0*i - 2*i. Let t(y) = 2*y**2. What is t(j(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 10*t**2 + 9*t + 1. Let k be s(9). Suppose 2*v + 12 = 2, 5*h - 25 = 3*v. What is the highest common factor of k and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 16) to base 10\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38077961.\nAnswer: 577, 65993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, y: 3}. Give prob of picking 2 y and 2 b.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -4\/7, -7992 in descending order.\nAnswer: -4\/7, -1.1, -7992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(13\/5)\/(k**(-2\/3)*k)**(2\/59) assuming k is positive.\nAnswer: k**(2291\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 19*l = 0. Let g = 1\/207 - -5173\/414. Let j = -117\/10 + g. Do l and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1225120 rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(sqrt(5) - -6*sqrt(10)\/sqrt(2)) + -1 - (sqrt(55)\/(sqrt(11) + sqrt(11) + sqrt(99)*-2 + sqrt(99)) + -1)**2).\nAnswer: -148*sqrt(5) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 - 5*h + 16. Let r be t(-7). Let n = -25 - r. Calculate the lowest common multiple of n and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 9:11 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131 - 86 = -31*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/6*35\/(-28)*4*(-638)\/(-275)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7424, 5, -3 in decreasing order.\nAnswer: 5, -3, -7424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hqhhqqhqqqhhqh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 1\/5*j**3 + 39*j + 0 + 44\/5*j**2 = 0.\nAnswer: -39, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28732.1 times 17.78?\nAnswer: -510856.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/13, -3\/7, -1\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635529 is divided by 844?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 38. Let o(v) = -v**3 - 9*v**2 - 10*v - 8. Let c be o(z). Suppose 10459 = c*i + 931. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 8716 + 42730 = 315922. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -d, 4*c - 73 = -d - 37 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (7 - 2) + 0 + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/16 and 61\/9206?\nAnswer: 73648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.07191 + 0.0129436. Let h = 36 - 35.941. Let x = h + d. What is x rounded to 6 dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -64 - (-83)\/(1162\/630)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1066 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*w = 19, 3*h = 5*w + 2314 - 2326 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1434cc (base 13) to base 6.\nAnswer: -14322140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*x**3 + 2*x + x**3 - 2*x + (3*x - 4*x + 2*x)*(2*x**2 - 1 + 1) + x**3 - 2 + 2 - 3*x**3 + 2*x**3 + 3*x**3)*(-9*x + 2*x**2 + 14*x - 4*x).\nAnswer: 8*x**5 + 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:26 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 46*l**2 - 3*l - 137. Give s(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 5*v - 10. Let t be q(7). Which is the closest to 0? (a) t (b) 5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27252 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmd when three letters picked without replacement from mdad?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/((-14)\/3532) + -1 + 0 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11606 - -11624. Which is the third smallest value? (a) -2\/9 (b) v (c) -24 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39217884 is divided by 19608939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8)*128\/544.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -b + 1 + 2, -l + 4*b - 22 = 0. Let j(n) = -3*n**3 - 3*n**2 - n + 1. Determine j(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33480630 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (258\/645)\/((-6)\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 2*w**2 + 2*w + 6. Let a(p) = 6*p**3 - 10*p**2 + 9*p + 29. Let f(t) = -6*a(t) + 33*s(t). Find l, given that f(l) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one quarter of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 552, 918, 1296, 1692, 2112, 2562, 3048?\n\"Answer: o**3 + 359*o + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -108 (b) 20.8 (c) -13\/10 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 3 = 10*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 14 = -8*k. Let g be k - (-2 + -2 - 0). What is the second derivative of 33*q**2 - 64*q**g + 33*q**2 - 4*q wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let c(w) = 6*w. Let n be c(2). Suppose 0 = -k*b - b + n. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8)*2*4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*a = 227*a - 6371899. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3 + 3)) + -1 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 21*v + 45. Let o be q(23). What are the prime factors of (-2)\/(-8)*-10*(-49 - o)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11\/2)\/((-4)\/(-24)).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z - 3*z - 5*z**2 + (-1 - 1 + 0)*(14*z + 10*z**2 - 14*z) to the form i*z + c*z**2 + t and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -63. Suppose v*g - 30*g - 59400000 = 0. Round g to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -141*d + 2448747. List the prime factors of d.\nAnswer: 3, 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209 and 9614?\nAnswer: 9614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = q + 4*q - 35, -r = 3*q - 9. Let s be (-1 + 1 - 2)*1. Sort q, 3, s in ascending order.\nAnswer: s, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1278733459 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.5 - -4958.\nAnswer: 4922.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 53140.2*-339\nAnswer: -18014527.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o + 3. Let f be w(-3). Suppose 84 = 5*z - 11. Suppose v = 4*s + 6*v - z, 2*s = -5*v + 17. Which is the second smallest value? (a) s (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:07 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -15*y**3 + 2*y**2 + y. Calculate the lowest common multiple of 18 and h(-1).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q. Let j(k) = -3*k. Let i be ((-3)\/6)\/(1\/12). Let y(f) = i*a(f) + 21*j(f). Let l(w) = -4*w**2 + 7*w**2 + w**2 + 0*w**2. Determine y(l(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 17. Determine w(-23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4053910 and 2432346?\nAnswer: 12161730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1083736?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 2*z, 0*w - 2*w = -5*z + 40 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 8*g - 2. Let v be s(7). Let k = -31\/45 + 1\/45. Which is the second smallest value? (a) v (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 43*v + 39*v + 7 - 74*v. Let m(g) = g - 1. What is -d(a) - 5*m(a)?\nAnswer: -13*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*k - 12186 = -222*k. Solve 676 - k = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2082 + 3273. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 6, x: 1, v: 2, h: 3}. Give prob of picking 1 x and 1 h.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 1, 117494 in decreasing order.\nAnswer: 117494, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -3*a. Suppose -2*w + 3*i + 16 = -0*i, -4*w - 2*i = a. What is the third derivative of -2*u**6 + 672*u - 672*u + 9*u**w wrt u?\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l + 7. Determine b(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -343*i**2 - 389*i**2 + 720*i**2. Let f(k) = -10*k**2 + 35. Calculate f(y(z)).\nAnswer: -1440*z**4 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -92.287348 smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 5*h + 46*h**2 - 48*h**2 + (0 + 3*h + 0)*(2*h - 4*h + h) as y*h + l + g*h**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89\/36 - -20\/9. Let f be (0 - 1)\/(7\/2). Is f at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1102748864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l + 3 - 2*l**2 + 3*l**3 - 7*l**2 + 18*l**2 - 4*l**3. Let n be p(6). Solve 6*v + n = -3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 7*a**2 + 8*a + 3. Let n be y(6). Let f be 1\/(-3)*(-3 - n) + -6. Solve 5*b - z + 1 = 0, 5*b - 2*b - 2*z + 2 = f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 49. Suppose 0 = -y - 2*y + 4*k - 19, -4*y - 3*k = -8. Let d be y\/(-36) + (-1)\/4. Which is the biggest value? (a) o (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33431652*c**4 + 59463360*c.\nAnswer: 401179824*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 127 - 43 = 0. What is the lowest common multiple of d and 602?\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b4 (base 16) to base 7\nAnswer: -1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3775 and 714985?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 10*o**3 + o)*((2*o - 5*o + 5*o)*(13 + 23 - 27) - 4*o - 5*o - 25*o) as u + a*o**2 + f*o**3 + d*o + w*o**4 and give w.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 13 - 3 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*w. Suppose -9 = -3*t + 3. Let s = t - w. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {h: 10, g: 2, s: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s + 1. Suppose 4*t - 1 + 17 = 0. Let v be k(t). Calculate the highest common divisor of v and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 29\/3. Sort -0.2, y, 0 in descending order.\nAnswer: y, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12265423007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/30 and -29\/279.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06840914 to three dps.\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689053?\nAnswer: 53, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -96844*c**2 - 12442581*c.\nAnswer: -193688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 5*u**4\/2 - u**2\/2 + 1. Let k = -1 - -1. Suppose 3*d - 3 = -k*d. Calculate b(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693262 a multiple of 949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*d + 123*d = 8776. List the prime factors of d.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6620158 is divided by 384?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/d**(-1))**(4\/5)\/((d*d\/(d*d**(2\/5)))\/d*d**(1\/7)\/d)**(-1\/19) assuming d is positive.\nAnswer: d**(3148\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(66)*3*-5 + (sqrt(66) + sqrt(66)*-1)*5)\/((sqrt(72)\/(sqrt(36)\/sqrt(3)) - (sqrt(384) - (sqrt(384)*-2 + sqrt(384)) - sqrt(384)))*4))**2.\nAnswer: 2475\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from koodnho. What is prob of picking 1 o and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0) + (0 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1412368 and 5248?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*k*r**5 - 25*k*r**2 + 2*k + 2*r**6 - 7*r**3 wrt r?\nAnswer: 240*k*r**2 + 240*r**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -456.\nAnswer: -1\/456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33128 divided by 371?\nAnswer: -33128\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 20*t - 156. Solve t + 2 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 8*b**2 + 8*b - 1. Let i be o(7). Suppose i = 5*f + 11. Let q(t) be the second derivative of -3*t**3\/2 - t**2\/2 - t + 81. Determine q(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*w - 50. Suppose 4*n + w = 2*u, -5*n - 10 = -2*n - 2*u. Suppose -o + 15 - 3 = n. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 245 + 87 + 87*c**3 + 86*c**2 - 67*c**3 + c wrt c.\nAnswer: 120*c + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 82642.\nAnswer: 743778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.715 (b) -40 (c) -121 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1.7*226\nAnswer: 384.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*c = -24*c - 5*b - 14, 2*b = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 6*m**2 - 6*m - 2. Let p be h(-5). Suppose 15*t - 14*t = 42. Suppose -2*b = 4*r + 18 - 2, -5*r + p*b - t = 0. Which is greater: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2001 - -2006. Let c(f) = 8*f**3 - 40*f**2. What is c(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -28?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*x = -5, 16*v - 11 = 21*v + 2*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 12\/18)*5499\/235.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.32758 decades in months?\nAnswer: 3999.3096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*f**3 + f**2 - 58*f**3 - 60*f**3 + 2*f - 7*f**2 in the form i + j*f**3 + z*f + b*f**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*w = 152*w - 21 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89615 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-197 - 166 + 71)*(u - 4*u + u).\nAnswer: 584*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/(-2)*-1 - 15\/10. Let z be (3\/(15\/m))\/(2\/(-16)). Find the second derivative of 15*c**2 - 5*c**2 - 10*c**2 + 21*c**3 - z*c wrt c.\nAnswer: 126*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 6*u**2 - 6*u - 8. Let n be h(7). Let o = 4 + n. What is the units digit of 3 + (o - (-1)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*h - 32 + 20 = 0, -h + 9 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 337*q - 3033. Give x(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1505, -1386, -1161, -824, -369, 210, 919, 1764?\nAnswer: 2751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1404 and 6751914?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9044 and 3150.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 440127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.87 times 2?\nAnswer: 815.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t + 252. Let f be g(7). Factor f*i + 243*i - 4*i**2 + 216*i - 722*i.\nAnswer: -4*i*(i + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -12\/11 (b) 5 (c) -0.1 (d) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*v + 445*v - 233*v.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 1\/258 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 7:53 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -82.892 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 31434?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*v - 120 = -5*y, 3*v + 60 = 3*y. Suppose -6*p + y = -p. Solve p*m + 18 = -2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17992 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 31 + 39 = 0. Let s(a) = -a**3 + 8*a**2 - 2*a - 6. Determine s(x).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4732656593?\nAnswer: 7, 676093799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Let y be ((-2 - -3) + -4)\/h. Let g be (0 - y) + ((-4)\/(-2))\/(-2). Solve g = -x + r, 5*x - r + 2 = 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 12*h + 14. Let x be (-4)\/(-8) - 57\/2. Let q(t) = 4*t - t - t - t - 1133 + 1134. Determine x*q(o) + 2*a(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5*h - y + 5, -3*h + 4*y = 3. Let b(d) = 1. Let z(v) = v**3 + v**2 - v + 5. Let p(l) = h*z(l) + 6*b(l). Factor p(u).\nAnswer: -(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -181, -519, -857, -1195?\n\"Answer: -338*r + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 39 + 11. What is the second smallest value in -5, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -10. Sort t, 4, -7 in increasing order.\nAnswer: -7, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 336*c**5 + 435*c**3 - 32539*c - 6 wrt c.\nAnswer: 6720*c**3 + 2610*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/9 or -2\/59?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -847823*b**2 + 847833*b**2 - 6 - 11 to i + z*b + f*b**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 12. What is the first derivative of -51*f + 27*f + 24*f + 18 + 21*f**z wrt f?\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2624, -2449, -2152, -1739, -1216, -589, 136, 953?\nAnswer: 1856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgyswwggngsnswwwsw. Give prob of sequence sw.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16230 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 4:45 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + 19. Does 20 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:12 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.23 + -12.23. Let k = t + 11.9. What is the second biggest value in 2\/7, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*s + 5*h = 10*s + 585, h - h = -3*h - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 5*y + 5. Let u(j) = -6*j - 6. Determine -6*t(c) - 5*u(c).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*i**3 + 237*f**3*i**2 + 510*f**3 + 5897*f**2*i**3 - 23*f**2 wrt f.\nAnswer: 6*i**3 + 1422*i**2 + 3060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 133. Let i(n) = 18*n + 4. Let q be i(-4). Let o = q + t. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(121)*-1)\/sqrt(11).\nAnswer: -sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1362398 - 1362396. Solve 22\/3*a - 2\/3*a**v - 20\/3 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y\/(y**(2\/19)\/y))*y*y)\/(y*(y\/((y**(13\/5)*y)\/y)*y)\/y))**44)**(-1\/3) assuming y is positive.\nAnswer: y**(-2376\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 5. Determine h(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136.9 + -132. Let r = v + -4.9051. Round r to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-11 - -12)) + -21.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, o: 1, l: 1, h: 1, d: 1, n: 2}. Give prob of picking 1 l and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15378?\nAnswer: 2, 3, 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -43. What is the closest to -2\/5 in v, 0, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2338 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + h + 1 - 3 = 0, 3*h = -2*a + 6. Determine j so that a*j**4 - 2\/3*j**5 + 0*j**2 + 0 + 4\/3*j**3 - 2\/3*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) 177 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + w - 1. Let d(z) = 4*z**2 - 5*z + 5. Calculate -3*a(v) - d(v).\nAnswer: -v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72862?\nAnswer: 2, 17, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 334*c - 337*c - 5946*c**2 + 5970*c**2.\nAnswer: 24*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9373431456857*d - 9373431456857*d - 3*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhccchcck. What is prob of sequence chc?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52312727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -335*i**3 + 9*i**2 - 1 wrt i.\nAnswer: -2010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3\/4)\/l*l**(3\/5))\/(l*l**(-3\/10)*l*l*l**(-2\/33)*l))**(4\/9) assuming l is positive.\nAnswer: l**(-2501\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -q + 9 + 3, 4*b - 5*q = 12. Suppose 0 = 3*o - b*o - 80. Let k = 4 - o. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjzjwjwtjajjjl. What is prob of sequence zla?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20\/123 - 43\/492. What is the second biggest value in 0.02, h, 1, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 127 - 239 + 4*t + 134.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103384898*n**3 + 369368228*n.\nAnswer: 620309388*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 1, -87, -1 in descending order.\nAnswer: 6, 1, -1, -3, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -197\/756 + 2\/189. Which is the third smallest value? (a) 0.4 (b) 2\/3 (c) -1\/8 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 350 = -5*q, 2*q - 6*k = -k + 112. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*u - 11 = w, 2*w + 5*u = -13 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -4*k. Suppose 368 = 4*i - k*i. Suppose -3*p + 4*f - i = -7*p, 4*p = -3*f + 97. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 167*n + 20078. Does 98 divide c(128)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*v - 12, -31 = 53*o - 54*o - 8*v + 28 - 55 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30429.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 2*h = -x - 25, h = 3*x - 15. Suppose 1 = 3*b - q + 2, -2*b - x*q - 29 = 0. Let s(k) = 2*k**2 + 2*k - 2. What are the prime factors of s(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + sqrt(220)\/(-3*sqrt(11)) + (-1*3*sqrt(2420))**2)*-4.\nAnswer: -87101 + 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101110 (base 2) in base 10?\nAnswer: -238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 3*j + 341, -3*s - j + 661 = s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 17. Let k be u(-14). Solve -3 = 2*p + k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z*(z**0\/z)\/z)*z)\/z*z*z)\/z**16 assuming z is positive.\nAnswer: z**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 14*h + 15*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1712 * 18111\nAnswer: 31006032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3907.93742 - 3908. Round d to 3 decimal places.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 9:46 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-492.\nAnswer: 9.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 5, -243 in decreasing order.\nAnswer: 5, 4, -10, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2766*j + 449246 - 84134 = 0 for j.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 + -173. Is 358 + r\/2 + 2 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/591090 and -31\/1020.\nAnswer: 1182180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1193.8074 months to decades.\nAnswer: 9.948395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/3 - 1136*i**2\/3 - 161312*i\/3 = 0. Calculate i.\nAnswer: -284, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**3 + 10*d**3 + 23*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4922402307.761 minus 3?\nAnswer: 4922402304.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l + 84. Suppose m + 19 = 2*s - 2*m, -5*s + m = -l. Sort s, 2, -3 in decreasing order.\nAnswer: s, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -0.0839, 2 in ascending order.\nAnswer: -2\/7, -0.0839, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 67*g**2 - 66*g + 77. What are the prime factors of b(28)?\nAnswer: 7, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4 + 1 - 2 - 1 + (-3 + 0 + 1)*(-3 + 0 + 1))*(-28 + 2*q + 18 + 5).\nAnswer: 8*q - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -12 + 0*j**2 - 9*j + 3*j**2 - 4*j**2. Suppose -19 = -21*t - 166. Let m be n(t). Solve -m*z + 12 = 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11842861800 to the nearest 1000000.\nAnswer: -11843000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51092208 by -486.\nAnswer: 105128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.584 + 20.684. Let q = -0.06 - 0.34. Let g = q + 0.1. What is the third smallest value in o, 12, g?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9816228 and 1944?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/3, -0.5, -4\/5, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/9)*h)\/h*h**(6\/7) assuming h is positive.\nAnswer: h**(26\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.19 + -2.18748. Round r to four dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.19487 micrograms to tonnes.\nAnswer: 0.00000000001619487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 3.8, -1, -2.69?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*n + 4*n. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 26 = -1. Suppose 0 = -0*x + 2*x - 2*h - 2, c*h - 9 = 0. Suppose -2*w - 3*t = 5, 0*w - 5*t = -w + 17. Solve 0 = -x*a + 6 - w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.8805 * 2.\nAnswer: 25.761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3335 and 140163380?\nAnswer: 3335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**2 - 16 + 16.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose -c*x - 3*x = -165. Calculate the remainder when x is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303\/(-5151) - (-1335)\/1020?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67850, 135850, 203850, 271850?\nAnswer: 339850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -32*(-3)\/6 - -2. Suppose -3*z = -45 - j. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 + -19 - (-4 - -13)) + -31 - -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-6 - 420\/(-63)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, v: 13, d: 3}. What is prob of sequence dddv?\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 156.9 - 157.3. Let i be ((-72)\/308)\/((-21)\/(-196)). Which is the third smallest value? (a) 0.2 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 13*d**2 + 51*d - 72. Let k(m) = 3*m**2 + 13*m - 17. Calculate -9*k(a) + 2*y(a).\nAnswer: -a**2 - 15*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 22 = 5*f, f - 3*i + 3 - 17 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 * -1678.\nAnswer: 144308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 132050183.3.\nAnswer: 132050187.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34782)\/(-2805))\/((-1)\/(-5)*-2*1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 15. Is 4 a factor of (-7 + 3)\/((-2)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 7)*(-1 + 1 - 7)*(-4*h + 51*h - 3*h).\nAnswer: 616*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2373 and 1785.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-2 + (-38)\/(-20)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7918 divided by -2942.\nAnswer: 3959\/1471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 1401446119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**4\/2 - 5*u. Suppose -q + 0*q = 2*i - 8, -5*q = -20. Let t(h) = i*h + 0*h + 2*h - 2*h. Determine t(y(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 13) to base 10\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 479*l**2 + 24454*l + 1217. Calculate m(-51).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 877\nAnswer: 1\/877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -24*r**2 - 4. Suppose 0 = -3*n + 5*d - 1 + 27, -4*n = 5*d + 12. Let k(c) = -c**2 + 4*c**2 - c**n. Calculate k(g(u)).\nAnswer: 4608*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 1:00 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.4, 1830, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 67.21543 millilitres?\nAnswer: 0.06721543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 4 = -14. Solve 8 = -o - v, 2*o - v - g*v - 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23472 is divided by 1296.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 4714*t. Let o(k) = 20*k**2 + 22*k. Calculate q(o(l)).\nAnswer: 94280*l**2 + 103708*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 15, f: 4}. What is prob of sequence ffkf?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 14 - 31 = 0. Calculate the remainder when a is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkhh. Give prob of sequence wkh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006898 a multiple of 374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, 1465, 5330, 12849, 25240?\n\"Answer: 203*f**3 + 8*f - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k = 2. What are the prime factors of -2 + k + -6 + 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.5. Let u = v + -5.2. Suppose -4*s - 1 = -21. Put s, -2, u in descending order.\nAnswer: s, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.846 + -0.046. Let m = f - 0.704. What is m rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1845*w**6 + 440*w**2 wrt w?\nAnswer: -221400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(160)\/((2*sqrt(70))\/sqrt(7)))\/(5*sqrt(64)\/sqrt(8) - (sqrt(24)\/(2*sqrt(3) + sqrt(3)) - sqrt(8))).\nAnswer: 3*sqrt(2)\/34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*p + 13. Suppose 2*x + 8 + p = 0. Is x greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428604330?\nAnswer: 2, 5, 142860433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 + -3.2151.\nAnswer: -2.6151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -47 - (-3 + (-7 + 0 - -3 - -8)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1671119 + -1.167. Round d to 6 dps.\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/25*2)\/((-583)\/55)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (5 - -7 - 5 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11340 and 415512?\nAnswer: 130886280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002001 (base 3) in base 14?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -f + 3, -y - 3*f + 1 = 6. Let w be y*((-54)\/(-14) - 1). Calculate the common denominator of 59\/8 and 7\/w + 13 + -16.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -249 + 248.9. Let z = -0.2 + 0.3. What is the nearest to u in z, -6, 3\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15117362?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**4 + 0*z - 26 + 17 + z - z**3 + 11 in the form c*z**2 + l*z**4 + q*z + m*z**3 + j and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1584000 to the nearest 10000.\nAnswer: -1580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 159\/3 - (-78351)\/(-1476)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f + 34 = 34 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:48 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**2 + 3*o**3 + 126*o + 109*o - 268*o + (-o + 2*o + 0*o)*(-o**2 + 0*o**2 - o**2) + o - o + o**3.\nAnswer: 2*o**3 - o**2 - 33*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mss when three letters picked without replacement from {z: 1, m: 1, s: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*d = 65. Let w = d - 11. Find the second derivative of 6*i**5 + 0*i**5 - 4*i + w*i wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/35 (b) -3\/71 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 + -0.2. Let l be (-6)\/(-2) - (-24)\/112*-10. Which is the second smallest value? (a) -0.1 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/6 + 17\/(-30). Let u = 235\/608 + -9\/32. Let a be -1 + (22 - 17)*2\/10. What is the closest to -0.1 in u, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28876984*p**3 + 9*p**2 - 1245*p - 2 wrt p?\nAnswer: 173261904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 + -70. Let f(i) = -i**3 + 6*i**2 - i. Let y be f(4). Calculate the greatest common divisor of y and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + a - 8. Let z = 54 + -60. Let f be d(z). Factor f*i**2 - 16*i**2 - 9*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 281677 + 15266 = -14768*o - 279009 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + 14. Let x = 62 - y. Let w = -25.9999971 + x. What is w rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dh when two letters picked without replacement from hzxzxzdhxzzz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - -5 - (-17 + 18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 5a4b2?\nAnswer: 5a4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 29*x - 2314. Give y(78).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 3. Calculate g(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -90. Let t = -74 + 99. What is the remainder when t is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - q**2 + q**2 - 5*q**2 - 575*q + 575*q + 2*q**2 + 3*q**2 - 6*q**2 + (-5*q + 3*q + 4*q)*(-3*q + 2*q - q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*z + 66. Suppose 0 = -3*y - 0 + z. Find the common denominator of -39\/10 and (y\/4)\/((-18)\/330).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -260?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 115820064161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*d + 76*d - 17793 = -83*d. Round d to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1961 = 2*q - 1267. Let n = q - 860. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133*f**3 - 1450*f**2.\nAnswer: 798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 0 + 34\/2. Let y = 30 - x. Let o = 12 + y. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05101 * 1.19\nAnswer: 0.0607019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(18)\/sqrt(2))\/(sqrt(12)\/sqrt(4)*3))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*v. Suppose v = 4*f - 2*f - 4. Suppose f*y - 2*w - 60 = -6*w, -y = -w - 15. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1796779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62 + -4*(-3)\/(-6). Let u(w) = w**2 - w + 2. Let j be u(2). Suppose -i = j*i - y. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let d be (v\/(-2))\/(2\/20). Suppose 3*s + d*n - 6 = 0, 3 = 2*s + s + 4*n. Is -2 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 254 + 326 - 51*l**2 + 323 - 1227 + 324 + 67*l**2.\nAnswer: 16*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 80733542?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12393885 rounded to the nearest 10000?\nAnswer: -12390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-1812))\/(-1)*(-546)\/(-910).\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1625*v + 14112 = -449*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.43 + -16.43. Put 0, d, 0.11 in decreasing order.\nAnswer: d, 0.11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + -1)**2 + (sqrt(5) + 3)*1.\nAnswer: -11*sqrt(5) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 - 2*l. Let n(w) = -w + 2 - 2 - 5. Let p be n(-5). Let o(i) = 0*i**2 + p*i**2 - 3*i + 4*i**2. Calculate 5*h(s) - 3*o(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 561 + -566.16. Let v = -5.16922 - u. Round v to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 135*a + 129*a - 3.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 6*c**2 + c + 6. Let h be d(-6). Let f be (-14)\/(-6) + (-4)\/(-6). Sort -4, f, h in ascending order.\nAnswer: -4, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/3649 and 56\/267.\nAnswer: 10947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -13. Let k(g) = -31*g**2 - g + 2. Let a be k(u). Let s = a + 33. Calculate the lowest common multiple of s and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 63, -33\/5, 2\/5.\nAnswer: -33\/5, 0, 2\/5, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -274, -2\/19, -1\/24?\nAnswer: -274","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - h - 4*h**2 + 0*h**2. Let c(j) = -3*j**2 - 2*j + 1. Calculate -2*c(s) + 5*g(s).\nAnswer: s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 1\/3, -1, -1695, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44*29\/(-1595))\/((-324)\/(-15)).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 4*d**2 + 0*d**2)*(-293*d + 67*d - 318*d - 278*d - 9*d).\nAnswer: -4155*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + j = -2*j - 30, -l + 4*j + 2 = 0. Let a = 44 - l. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.517964us in hours?\nAnswer: 0.00000000125499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -12. Suppose y - 6 = -h. Suppose 0 = -4*i + y*i. Solve 2*r + 2*r + 8 = i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 14845*b**2 + 148075*b + 369875.\nAnswer: 5*(b + 5)**2*(b + 2959)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.004 - -11.504. Let s = 1.7 - -10.3. Let g = s - i. Round g to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, -3, 1, -10 in ascending order.\nAnswer: -10, -3, -1, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 180479529 a multiple of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + ((sqrt(14) - sqrt(896))\/sqrt(2))**2.\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h. Let w(n) be the second derivative of -6*n**3 + n**2 - 1664*n - 2. Calculate k(w(o)).\nAnswer: 72*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*2\/(-26) + (-285294)\/1326. Put c, -2, 3 in ascending order.\nAnswer: c, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 2. Let w(h) = h**2 + 19*h + 23. Let g be w(-18). What is l(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -6765*o**5 - 11192001*o**4 - 4620020988*o**3 + 7439967492*o**2 + 3693906720*o - 8227008 = 0?\nAnswer: -828, -2\/5, 1\/451, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -8*l**2 - 17*l - 2. Let y(w) = -12*w**2 - 33*w - 5. Let s(j) = -5*a(j) + 3*y(j). Let g be s(4). Solve -g*k + 4*d - 8 = k, 4*d + 12 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 347712 - 63419. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19290655577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -427\/1654201 or 0?\nAnswer: -427\/1654201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469618029?\nAnswer: 11, 133601639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 795 divide 61626492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 6. Let j(o) = -5*o + 190. Determine -j(a) + 7*p(a).\nAnswer: -2*a - 148","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 17. Find the third derivative of 7*u + u**3 - q*u - 2*u**2 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103832 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -29 (c) 5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -11, -0.03, 32\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + y**2 + 2*y + 926. Suppose -q + 2*q + 5*c = 20, 0 = -3*q + c - 4. Let n be t(q). Suppose 11*i = 13*i - n. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -3. Let b be 1\/(u\/28) + 0. Suppose p - y = -3*y + 8, 0 = 4*p - 5*y + b. Solve 0 = -c - 5*q + p, -5*c = -4*q + 19 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -228, -504, -882, -1356, -1920, -2568?\nAnswer: -3294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Let i be (1 - m) + (8 - 2). Suppose 3*l + 21 = 5*o + 4*l, o = -3*l - i. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of 14*t**6\/15 - 12*t**5\/5 - 25*t**4\/3 - 4*t**3 + 99*t. Factor j(u).\nAnswer: 4*u*(u - 3)*(u + 1)*(7*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -993.044 take away 5809?\nAnswer: -6802.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112 + -11012?\nAnswer: -21201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2855 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/16885 - -13363\/23554575. Let l = -174331\/306900 + v. Find the common denominator of 27\/4 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.91 + 0.19. Let v = a - 0.1. Sort -4\/3, v, -0.2.\nAnswer: -4\/3, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1245 + -1243. Solve p*c - 13 = -3*y, -c - c = -10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*n - 3 - 10, -2*o = 6. Suppose -2*t + n = -5. Suppose -c - t*q + 46 = 0, 4*c + 3*q + 53 = 152. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 3*s - 11)*(-2*s + 0 + 0) - s - 5*s**2 + s - 4*s**2 - 3*s**2 + 4*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -5*z. Suppose 0 = 3*t + 12, -z*v + 4*t = -3*v - 11. Solve 3*g + 8 = -v*o, 0*g + 6 = -3*g - 3*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 6)*(-77*o**2 - 1754*o + 1754*o) in the form t*o + i + r*o**2 and give r.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 6*z**2 + 9*z - 14. Let g = 26 - 17. Calculate the lowest common multiple of t(5) and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.20679 - 0.79321. Let h = 5.383 + 0.017. Put h, 0.3, 1, i in descending order.\nAnswer: h, 1, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -7\/407?\nAnswer: -7\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 854679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 23, 2 in ascending order.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -789, -1186, -1583, -1980?\nAnswer: -2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3098055 - 218912\nAnswer: -218912.3098055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 751 divided by 5?\nAnswer: 751\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 61. Put 2, y, -33, 0 in descending order.\nAnswer: 2, 0, y, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 0*y**5 - 1\/6*y**6 + 4\/3*y**3 + 0*y - 1 + 0*y**2 + 0*y**4. Find the third derivative of m(f) wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/37 in 0, -0.04, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) 22 (c) 1.8 (d) 2\/13 (e) 214.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 14*b = 0. Suppose t + 34 = -5*k, b = -t - t + k - 24. Is t >= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 2*i + 6)*(2*i + 0*i + 0*i)*(3*i**2 + 0*i**2 - i**2).\nAnswer: 8*i**4 + 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.009 + -0.075. Let b = -0.674 + o. What is b rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28471 less than -28471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*b + 16, -3*w + 21 = 4*b - 52. Let x = 40 - w. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + -14 - -15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -245.7855 and -0.5.\nAnswer: -246.2855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + ((11 - 6) + 0 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (9 - 0) - (21 + -1)) + -9 + 16\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 12:36 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 207078462.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 134635*w*z - 21*z - 1326 wrt w.\nAnswer: 134635*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*l + 23*l - 44*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.0131.\nAnswer: 0.0262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 1 - 1)*(-3 - 2 + 3) + (3*n + 3*n - 4*n)*(5 - 2 - 1 + (5 + 1 - 4)*(-4 + 2 + 3)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5286330 and 1890?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 16 - (9 - 17 - (-18 - (0 - 2)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*l = 49*l - 8. Let r = 435 + -435.5. What is the closest to -0.2 in 3, l, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - -6*(sqrt(190) + 2*sqrt(190)))\/(sqrt(80)\/(sqrt(8) - sqrt(32))) + -3)**2.\nAnswer: 114*sqrt(19) + 6868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -66 and 0.3?\nAnswer: 66.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**25\/i)\/(i*i**(-3\/7)) assuming i is positive.\nAnswer: i**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:45 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -945477 - -8459635\/9. Let a = 5525 + z. Let p = 423\/112 - 113\/16. What is the common denominator of a and p?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 2*g + 3508 = 0, 5*k - 79*g + 80*g - 2188 = 0. Is k > 438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*m**2 + 60*m**2 - 7043*m**5 - 12263*m**5 + m**5 + 3*m**5 - 3*m**5 + (-m + 3*m + 0*m)*(0 + m**4 + 0).\nAnswer: -19303*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -163113, -163120, -163131, -163146, -163165, -163188, -163215?\n\"Answer: -2*c**2 - c - 163110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1632897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2326726833?\nAnswer: 3, 19, 37, 1103237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jpjjpjlxjljlx. What is prob of sequence llp?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-56)\/(-140) - (168\/(-5) + 0) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*g - 261*g - 3 + 3 = 181*g. Factor 3\/4*o**2 - 3\/4 + g*o.\nAnswer: 3*(o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -203.3, 5 in descending order.\nAnswer: 5, -5, -203.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122 - -101021000220?\nAnswer: 101020220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477*s**3 - 496*s**3 + 0 + 0.\nAnswer: -973*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 50 = 5*b, 3*q + 50 = 5*b + q. Do b and -494 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 2. Let q be y(2). Suppose 4*k - 6*k + 5*a = 17, k - 2*a + 7 = q. Is k\/(-2)*(587 - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9 = 0, -3*z - 131 + 30 = -2*w. Let j = 54 - w. Suppose j - 4*o**3 + 8*o**2 + 0 - 8 = 0. What is o?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c + 1500 = -34*c - 97*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a608 (base 11) to base 13.\nAnswer: -6514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w + 8. Let j be s(4). Suppose -c = -x + 4, x - 4*x + j = 5*c. Suppose 3*m + 4 = m, 201 = x*n + 2*m. What is the remainder when n is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((v\/v**(-23))\/v)\/v*v)\/v)\/v*v**14)\/(v**0\/(v\/v**10)))**(-26\/7) assuming v is positive.\nAnswer: v**(-676\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*p - 119 = 7*b, b = 2*p - 40. Which is greater: b or -41?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 + 0*s**3 - 2*s**3)*(s - 2 + 2) - 5*s**4 + 2*s**4 - s**4 - 2*s**2 + 2*s**2 - s**4 + (-3*s**2 + 6*s**2 - 2*s**2)*(-s**2 - 1 + 1).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + 7*d - 4*d)*(-2*d + d + 2*d) + (5 - 5 - 2*d)*(69 - 18*d - 69).\nAnswer: 43*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/21)\/(12\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8272*o - u + 19 = 8269*o, -3*o - u = 17 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3)*-2)**2 - -5*sqrt(3)*5.\nAnswer: 21 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 216450 - 2*q**2 - q**2 + 108213 + 108237.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420.422 millilitres to litres.\nAnswer: 0.420422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.3, -2\/19, -7, 2, 0.2, 209?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3632 is divided by 182.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*f**3*x*z - 2*f**3*x - 164*f**3 - 11*f*x - 110380*f*z + f wrt z?\nAnswer: -5*f**3*x - 110380*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9814 (base 13) to base 12.\nAnswer: 1029a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 + 18*y - 20. Calculate c(8).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen fifths of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 14*y - 17*y + 11, y - 6 = -c. Let i be -3*3\/((-27)\/(-6)). Let x = -71 - -70. Put c, i, x in descending order.\nAnswer: c, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 8*l**2 - 9*l + 2. Let i be u(6). Suppose 0*z - 2*z = -i. Suppose 6*r - r = 135. What is the remainder when r is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*x. Suppose 8*f = 315 - 51. Suppose x*k + 5*y = 8, 5*k - 49 - f = 3*y. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -8*d + 58 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 44\/5 of a hour?\nAnswer: 31680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 6. Let t be y(-4). Let s be (4053\/(-49) - 4\/14) + t. Let p be (-2 - -4)\/((-9)\/s). Calculate the greatest common factor of p and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y + 36*y = 13*y - 150. Let n(c) = 6*c**3 - 11*c**2 + 11*c. Let b(a) = 2*a**3 - 4*a**2 + 4*a. Determine y*n(f) + 8*b(f).\nAnswer: -2*f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - 3*b**2 + 3*b**2 - 3*b**3 + 3*b**2.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 87c + 38a?\nAnswer: c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 10. Suppose -249*d + 254*d = 0. Determine b(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -4*t**2 + 234*t + 4\/3*t**3 + 1\/6*t**4 - 1\/10*t**5 + 0. Factor v(z).\nAnswer: -2*(z - 2)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/(-4) - (-6)\/12. What is the common denominator of 43\/5 and 41\/6 - (j + 6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-255)\/425 + 4\/(-10). Is 12695\/1 - v\/3*-18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8761, 17835, 26909, 35983, 45057?\n\"Answer: 9074*u - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 30*k = 29*k - 244631, -k = -5*v + 407715. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - a - 5*o - 123, -2*a - 4*o + 42 = 0. Suppose 2*k = 29 - a. What is the second smallest value in 2, 0, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158013505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -65, -3\/5, 6, -5, -9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, i: 1, v: 4, x: 3, k: 1}. What is prob of sequence vkv?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 25. Suppose r - 1 = -3*u. List the prime factors of 1 + (u - -2) + 28.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1661285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 521823 divided by 8\nAnswer: 521823\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -0.58185?\nAnswer: 0.28185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44a6 + -3970?\nAnswer: -8366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.63 - 2.33. Sort x, 5, 1 in descending order.\nAnswer: 5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 162?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**3 + 1685*a**2 - 6680*a + 6660.\nAnswer: -5*(a - 333)*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19111 + 7973 = 111*w. Calculate the least common multiple of 122 and w.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5.6. Let k = 4177 + -4177.5. Which is the nearest to 2? (a) k (b) f (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94801.81 millennia to centuries.\nAnswer: 948018.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 13*j**2 + 18*j - 133. Is 21 a factor of s(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**2*t**3 - 56*g**2 - 16*t**4 wrt t.\nAnswer: 9*g**2*t**2 - 64*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 42 + 14. Solve -22 = -j*a + 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6146*v - 6333*v + 13034*v + 243*v**2 wrt v?\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {r: 5, h: 1, c: 3}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 567. What is x(107)?\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 8*a + 5. Let y be b(6). Suppose -y = -4*d + 59. Suppose 5*l - 11 = d. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*g + 21377, 4*t - 2*g - 75714 = 9822. List the prime factors of t.\nAnswer: 5, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -50, -1, -8, 0, -2, 368 in ascending order.\nAnswer: -50, -8, -4, -2, -1, 0, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330616?\nAnswer: 2, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -6090.029576153?\nAnswer: 6090.329576153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41\/6232)\/(8\/(-32)) + (-14508)\/3192?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 128964 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -79 and -687.\nAnswer: -766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201 + 120112100102?\nAnswer: 120112102010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -297272990.8.\nAnswer: 297272991.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2526, 2572, 2702, 2958, 3382, 4016, 4902, 6082?\n\"Answer: 7*a**3 - 3*a + 2522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 686 - 3806 = 312*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285525358.0987 - -0.02?\nAnswer: -1285525358.0787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5))**(1\/3) assuming f is positive.\nAnswer: f**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + -8 + 1\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219.4 - -220. Let l = -0.19 + -0.01. What is the closest to 1\/4 in l, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4247, 8866, 13485, 18104?\n\"Answer: 4619*p - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 106497228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 227, -3.\nAnswer: -3, -1, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -37\/10*a**5 + 91*a + 0 + 0*a**4 + 0*a**3 - 58*a**2. Find the first derivative of o(l) wrt l.\nAnswer: -222*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 8 - 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334404 - -1?\nAnswer: -334403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1480*r + 43*r - 2696 - 892 = 86943 for r.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4115733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - o - 5)*(0 - 2 - 2 + (-4 - 1 + 4)*(0 - 3 + 2) + 4 + 0 + 3).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(-3*sqrt(9)))\/(sqrt(15)\/(sqrt(3) + sqrt(300))).\nAnswer: -11*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 512*d - 7165. What is q(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4\/11 - 20896*k**3\/11 + 4959950*k**2 + 9927500*k.\nAnswer: 2*k*(k - 5225)**2*(k + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*w - 13*w + 3*w**2 + 2*w - 12*w - 234*w**4 + 2 - 15*w wrt w?\nAnswer: -2808*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, -2\/3, 1, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*y - 191*y - 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -308, -1130, -2462, -4304, -6656?\nAnswer: -9518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 65 = -3*u. Calculate the lowest common multiple of u and 2 + 6 + 64\/(30 + -14).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 346122 divided by -6\nAnswer: -57687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/((((q\/q**1*q)\/q)\/q*q*q)\/q))**(-4)\/(q**(-3\/13)\/q*q**(-6\/11)*q) assuming q is positive.\nAnswer: q**(-1605\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16100864 to the power of 1\/2, to the nearest integer?\nAnswer: 4013","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 536 and 2.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 6*n - 19. Let g be u(-4). Let x = 1126 + g. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, j: 7}. Give prob of sequence jqqj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4912*l - 1255. Does 10 divide i(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 23860558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 273 - 139 = -61 for p.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 96 - 26*a - 23*a - 24*a + 74*a. Let r(x) = 2*x**2. What is r(j(f))?\nAnswer: 2*f**2 + 384*f + 18432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - 3*j)*(-6*j - 20 + 17*j - 13*j).\nAnswer: 6*j**2 + 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 and 19\/305?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o + 21. Let y(n) = -n + 1. Let i(g) = 16. Let f(h) = i(h) + 5*y(h). Let v be f(5). What is the remainder when 70 is divided by p(v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 11. Suppose -5*r + 95 = -4*m, r = -b*m - 2*r - 75. What is the common denominator of 41\/6 + 10\/m and -10\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33*((-75392)\/(-1254))\/(-64)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1232\/(-45) - (-4)\/(-10). Let i = a - -1289\/72. Find the common denominator of i and ((-327)\/(-90))\/1 - 8\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*q = 3690, 0 = 14*i - 15*i + 2*q + 1215. What are the prime factors of i?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one quarters of a microgram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -936, -1398, -1856, -2310?\nAnswer: -2760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-12)\/10)*180\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 3*k**2 + 0*k**2)*(0*k - 2*k + 0*k) - 82*k**2 + 43*k**3 + 82*k**2 + 39*k - 18*k**3 - 39*k.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2732 - 737. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-292)\/(-48) + (-3)\/(-2) and -109\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 88\/50961, 4, -0.3?\nAnswer: 88\/50961","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 114 - 110. Let l(z) = 9*z**2 - 7*z + 13. Let x(m) = 4*m**2 - 4*m + 6. Let r(d) = t*l(d) - 10*x(d). Factor r(w).\nAnswer: -4*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112\/196*(-7)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 + -122. What is the smallest value in m, -4\/3, -4\/7?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-11)\/(d*d\/d**(-1\/13))*(d**(1\/4))**42 assuming d is positive.\nAnswer: d**(-67\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l + 13. Let a(r) be the third derivative of 29*r**4\/24 - 20*r**3\/3 - 8*r**2. Let s(b) = -6*a(b) - 17*j(b). Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520431796 to the power of 1\/2, to the nearest integer?\nAnswer: 22813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 2\/3, -5546, 0.5 in descending order.\nAnswer: 2\/3, 0.5, -3\/2, -5546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 50563297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2207 (b) -5\/2 (c) -2\/13 (d) -2\/11 (e) 2\/11 (f) 0.2 (g) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183\/1789 or 1?\nAnswer: 183\/1789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -17 - 1. Calculate the greatest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s + 7*s**3 + 13*s + 29*s**3.\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, 1, 3031 in descending order.\nAnswer: 3031, 1.7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-520))\/(12\/16)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58406371?\nAnswer: 53, 1102007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1487*y + 937*y + 500*y - 964*y as x + s*y and give s.\nAnswer: 1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - h + 6. Let x(a) = -2*a**2 - 2*a + 11. Let b be 1\/4 - 22\/(-8). Let y be (4\/(-2) + b)*-11. Give y*i(d) + 6*x(d).\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 209*i**3*l**2 - 3*i**2 + 15*i*l**2 wrt i.\nAnswer: 1254*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*m**3 - 6401277*m**2 + 42133406.\nAnswer: -6*m**2 - 12802554*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 5727004?\nAnswer: 1\/2863502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -572 divided by -2.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 7:58 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z**2 - 1. Let r(d) = 3*d**3 - 2. Let b = -14 - -10. Let x be b\/(-10) + 6\/10. What is x*r(k) - 2*s(k)?\nAnswer: k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:21 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1722 and 205?\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 6*i**2 + 14*i + 8. Let w be s(-8). Let l = w - 23. Let v be 147\/(-42)*2\/(-2 + l). Solve u = 2 - v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - sqrt(133)*2)*6)\/(sqrt(7) - sqrt(343)*-2).\nAnswer: -2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 p, and 1 c when three letters picked without replacement from {t: 7, y: 2, p: 1, c: 7}?\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80307.\nAnswer: 3, 8923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003184 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-8))\/(4\/8). Suppose -5*g + 7 = -4*q, c*g + q - 19 = -q. Put 2, g, 6 in decreasing order.\nAnswer: 6, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from faba.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/(sqrt(10) - sqrt(490)) + (sqrt(175) + -3)**2.\nAnswer: -181*sqrt(7)\/6 + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 16 = -4*t, -12 = 4*t + 3*l - 0*l. Let v be (0 - t\/(-3))*-1. Find a such that 2*a**3 + 0 + v*a**2 - 8\/9*a = 0.\nAnswer: -2\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g + 7*g**3 + 9*g**3 - 2*g.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -3062319?\nAnswer: -16\/3062319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -7. Sort -5, 5, m in decreasing order.\nAnswer: 5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -251 - -1761\/7. Which is the third biggest value? (a) -5 (b) 2 (c) k (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2774 - 6907350357\nAnswer: -6907347583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -2, -0.4, 1, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = k + 8, 0 = 2*n + 3*k - 0*k + 7. Suppose f = 5 + n. Differentiate -5 - t + 1 + f*t with respect to t.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - sqrt(133)*-2)*3)\/(sqrt(126)\/sqrt(2)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.199 to 1 dp.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23866081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 34*d + 71. What is the hundreds digit of m(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 bigger than -447?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4321 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2084774?\nAnswer: 2, 701, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 0 - (-168)\/(-21). Let o(n) = 3*n**2 + 5*n - 20. Does 42 divide o(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 5. Let d(n) = 8*n + 14. Let q(g) = 5*d(g) + 14*s(g). Let w(a) be the third derivative of a**4\/24 + 10*a**2. Give w(q(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*m + 9. Put 4, 2, m, -1 in decreasing order.\nAnswer: 4, 2, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 3)*(-2 + 1 - 1)*(2 - 2 + b**3 + (0*b + 2*b - b)*(-5*b + b**2 + 5*b)).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a587 (base 12) in base 7?\nAnswer: -453100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -212*q**2. Let r(c) be the second derivative of c**3\/6 - 6*c. Calculate v(r(p)).\nAnswer: -212*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 12 + 10*o - 50 - o**2 + 17 + 4 + 11*o**3 - 5*o. Does 12 divide f(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7\/4)*v**2*((v*v\/(v\/((v*v*v\/(v**(-3)*v*v)*v)\/v)))\/v)\/(v**(-1)*v))**12 assuming v is positive.\nAnswer: v**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + ((-84)\/15 - -4). Is l != 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) -0.02 (b) 17 (c) -1 (d) 0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 - 2*i**2)*(10*i + 5*i + 21*i) to the form c*i**3 + j*i**2 + r + g*i and give c.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 56*p**2 - 207*p + 38. Calculate z(-52).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*(-301)\/172.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-4)*(-23 - -17). Calculate the greatest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745775 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2846 or 0.4?\nAnswer: 2846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 41. Let h(n) = -2*n + 17. Let c be h(u). Suppose -2*v - 806 = -c*l - 5*v, -164 = -l - 2*v. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -148\/95, -1\/3, 3\/2?\nAnswer: -148\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 60 = 56. What is the second derivative of -3 + 82*f**2 - b*f + 3*f + 2*f - 26*f wrt f?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-2)\/(-6) + 3. Suppose 3*v = -2*p + 169, -4*v + 106 = -2*v + o*p. Let n = 17 + 3. What is the remainder when v is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from pnblldaldbdddbddn.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 498 and 24?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03275 - -101.96725. Is 8 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**7)\/f**(-1\/2)*f\/(f*(f**(1\/5)\/f)\/f)*f**(-6)\/f assuming f is positive.\nAnswer: f**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -1\/2*k**2 + 0*k**3 + 5\/6*k**4 + 5*k + 0. Find the first derivative of m(j) wrt j.\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38*(-189)\/(-12768))\/((-2)\/8)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -187, -926, -1877, -2812, -3503, -3722?\n\"Answer: 38*b**3 - 334*b**2 - 3*b + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -194 or -193?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/24 of a day?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-12) + (-6)\/24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -8*r**6\/3 - 8*r**3 - 11. What is the third derivative of p(y) wrt y?\nAnswer: -960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -442*g + 2. Let v(a) = 378*a - 145*a - 136*a - 99*a. Give f(v(n)).\nAnswer: 884*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35.7 - 37. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 20 + 11 - 50 - 3*r - 8*r.\nAnswer: -11*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 694795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 7. Let v be n(-9). Let w be v*((-15)\/9 - -2). Let k = 9472 - 9476. What is the fourth smallest value in -0.5, w, 2, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 13*u**3\/3 - 2*u**2 - 5*u + 2. Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*b - 1769*b + 94050 = -590*b for b.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 7. Let x = 10 - j. Suppose -c + x*c + 60 = 0. Round c to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/15 + 1017\/15. Suppose -j = 2*b - 6*b. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -2531*g**3\/6 - 772*g**2 - 63*g - 8. What is the first derivative of n(h) wrt h?\nAnswer: -2531","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136492568 divided by 130241\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 712130.4 micrometers?\nAnswer: 712.1304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 101. Let w(o) be the third derivative of -1\/30*o**5 - 2\/3*o**3 - 1\/4*o**m - 3*o**2 + 0*o + 0. Let w(l) = 0. Calculate l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/((m**4\/m)\/m)*m*m)\/m**0)**(-4\/31))**(-1\/7))**(-3\/8) assuming m is positive.\nAnswer: m**(-3\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 227861943 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-21))\/(2\/(-6)). Let f = 3.6 + -3.2. Let q = -0.2 + f. What is the closest to 1 in z, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -52. Let f = 596975.99949 - 597008. Let z = f + d. What is z rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 1. Let b be p(-2). Let j = -0.14 - -0.08. Let t = 0.16 + j. Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39627 bigger than -31787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 6 = 5*f - 20, 177 = 4*f + 153 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + 34*t - 37*t - 2*t**2 + 0*t**2 to the form i*t**2 + l + a*t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 2012, -2 in descending order.\nAnswer: 2012, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -724515?\nAnswer: 724512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3931813 to the power of 1\/3, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**5\/60 + 171*l**4\/4 - 1025*l**3\/6 - 3*l**2 + 1392. Factor o(f).\nAnswer: -(f - 1025)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48726520 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*z = -61215, 0 = s + 3*z + 6930 + 8361. What is s rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 6*j + 1. Let g(u) = 6*u - 5. Let n be g(2). What is the smallest common multiple of q(n) and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5537, -11193, -16849?\n\"Answer: -5656*w + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 14, -31, -74?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**4 + 66164*y**3 + 829407*y**2?\nAnswer: -24*y + 396984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 - 35*p + 45. Let b be a(16). Let l = -1 - -7. Let i = b + l. Solve i*g + 18 = 2*q, -4*q = -2*g - 2*q - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1247 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 151961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most -6190?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -0.4.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34905.\nAnswer: 3, 5, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-136 - -7) - (16 + -18 + 7 + -20).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1111 - 0.\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -579 (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**2 + 851*l - 14055 - 5*l**2 + 14053 as t*l + n*l**2 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 2*u**3\/3 + 7*u**2\/2 - 4*u + 92. Let t be h(-4). Solve t = -4*v - 2*b, b = -3*v - b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7*j*j*j**(-7))**(1\/4)*(j*j**(2\/21)*(j\/((j**(2\/19)\/j)\/j)*j)\/j)**(12\/13) assuming j is positive.\nAnswer: j**(14465\/3458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1013133*x = 1013108*x - 750 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*t + 18, -7*h + 21 = -10*h - 3*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.7 - -3.7. Let x = 11\/102 + 1\/102. Let z(k) = k - 2. Let v be z(7). Which is the third biggest value? (a) y (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/4 - 3\/(-6). Let a be -3*((-1)\/w - 1). Suppose 3*h - 1 = y, -292*y + 2*h - 18 = -287*y. What is the biggest value in a, 1\/5, 2\/17, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*(h**(-1)\/h)\/h)*h*h\/(h**3\/h)*(h**0)**(-42))\/((h**(-1))**(-3\/11)*h*h\/(((h**0*h*h*h)\/h)\/h)*h*h**(-2\/5)) assuming h is positive.\nAnswer: h**(117\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2764*j = -2773*j + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10326.\nAnswer: 2, 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20050533 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 364\/(-21)) + 1219\/(-345).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 2*f + 2. Let n(m) = m**2 + 3*m + 1. Let c(d) = -2*n(d) + 3*y(d). Let q(i) = 2*i - 2. What is the smallest common multiple of c(0) and q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -40.99999987. Round s to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45825 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*((x*(x*x*x\/(x**(3\/2)\/x)*x)\/x)\/x)\/x)\/(x\/x**(-1\/3))**(-14) assuming x is positive.\nAnswer: x**(121\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 241371 by 18567.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 3, r: 1, l: 4}. What is prob of sequence zzr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (696\/(-2030))\/(-1*2\/7)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - -18 - (26 + -24).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110*(-3)\/30 - (7 + -3 + 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -468 + 513. Is q less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 - 266 = 17*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -551 (base 12) to base 5\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758 (base 9) in base 7?\nAnswer: 3635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + q - 74, 212*n - 214*n + 2*q = 36 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/9 and 23\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.5. Let o be (-2)\/(-19) - (-31)\/(-19)*(-1 + -2). What is the second smallest value in o, p, -2\/13, 0.01?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(128)*-4) - (sqrt(210)\/sqrt(448))\/sqrt(10))*3*-6 + -3.\nAnswer: -3 + 27*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 597998187 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 785 and 5181?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -378058568*n**3 + 756117110*n**3 - 378058560*n**3.\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 283 - 281. Suppose -4*a = -4*c - 28 - 12, 20 = 2*a + h*c. Solve 7*i = a*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1046048417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -10, 5, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**4\/4 - 4*r**3\/3 + r**2\/2 + 9*r + 934. Give g(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 - 2?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (sqrt(1216) + 1 + 4 + 1 + sqrt(1216) + -4 - 5*1*(sqrt(1216) + 0)))**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -16\/3*r**3 - 14*r + 8*r**2 + 12 + 1\/4*r**4. Let b be v(15). Solve 2*c + 9 = b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -2\/25 (b) -1\/4 (c) -10 (d) 248\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.3 (b) -4 (c) 2 (d) -2\/1333\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -2\/11, -4, 7, -0.2, -1.1, -0.031, -5.9?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -111 + 118. What is the smallest common multiple of l and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 36*f**2 - f. Let j be m(1). Let h be 288\/21 + ((-10)\/14 - -1). Let v be 4\/j + 4\/h. What is the third smallest value in -2, -0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -14*q - 15. Let f(d) = 5*d + 5. Calculate -17*f(t) - 6*l(t).\nAnswer: -t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {f: 4, j: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*q - 77, -3*q + 12 + 25 = 2*h. List the prime factors of 120\/24*(-4)\/(-10)*h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2*u - u + (3*u + 0*u - 4*u)*(-4 + 2 + 4))*(2*u - 2*u - 2*u**4).\nAnswer: 8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 27*l**2 - 13*l + 10. Give x(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*r - 2*r + 0*r)*(1 - 1 + 2 + 0 + 1 + 2 + 1 - 1 - 1 + 5 - 5 + 1 + (-6 - 1 + 5)*(0 + 0 - 2) + 2 - 1 - 6 + (5 - 1 - 2)*(2 + 1 - 2) + 3 - 3 + 2).\nAnswer: -72*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihhxuhicuiiuxuxixf. What is prob of sequence fuux?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6*s - 189 = -1341, 0 = 3*v - 3*s - 1170. Solve 42*y - 606 = -v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6142 (base 7) to base 13.\nAnswer: -c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -2) + 4\/(-4). Let n be (-1 - -135) + -1 + t. Suppose -5*i + n = 36. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjbjbccccccjxxbcjcj. What is prob of picking 1 b and 1 c?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -11*c**4\/8 + 17*c**3\/6 + 17*c**2. Is r(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1371, -1338, -1303, -1266, -1227?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -22. Suppose -p - t = 3. Let k be (2\/(-5))\/(4\/p). What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16\/z)\/z**(-5)*((z\/((z*z\/(((z*z**(-6))\/z)\/z)*z)\/z))\/z)**(1\/32) assuming z is positive.\nAnswer: z**(631\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*f + 5172 + 428. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -213\/5 (b) -2\/15 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48.9 - -24.9. What is the nearest to 2\/9 in z, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*h - 10*h - 8*h)*(-23*h**2 - 9*h**2 - 196*h**2)*(h**2 + 2*h**2 - h**2).\nAnswer: -3192*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5\/14*16 - (-38)\/133 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = b - 40. Let r(n) = n - 5. Let f be r(b). Suppose 5*x = -2*k - f*k + 123, 0 = 5*k - 5*x - 255. What is the greatest common factor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25504 is divided by 10805?\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -480\/7 - 2\/7*t**3 + 8\/7*t + 120\/7*t**2.\nAnswer: -2*(t - 60)*(t - 2)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2867, -5707, -8547, -11387?\nAnswer: -14227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/20 and -73\/6645.\nAnswer: 26580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:25 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -353022 - 3?\nAnswer: -353025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18753250 divided by -3750650.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -2 + 3 + -12 + 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*m + 154 = 0, -a + 4*m - 356 = -5*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n + 2*n)*(n + 3*n - 5*n) - 2*n**2 + n - n + 86*n - 88*n - 57*n**2 + 22*n**2.\nAnswer: -39*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {s: 8, j: 6, l: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.409 + -2.409. Which is the third smallest value? (a) 4\/3 (b) g (c) -22\/7 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -671, -1426, -2467, -3788?\nAnswer: -5383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 119. Suppose 19*n = 12*n + f. Suppose -2*s - 5*u + 16 = -14, s = n*u + 15. Solve -4*d - 2*i = 18, -i = -6*i - s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b. Suppose 0 + 22 = d. Let m = 31 - d. Suppose 5*v + m = 2*i, 0*i + 2*v + 21 = -5*i. What is j(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19811 and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/5 + 5904*q**2\/5 - 8714304*q\/5.\nAnswer: -q*(q - 2952)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -14*z**2. Let v(b) = 8299*b. Give v(w(d)).\nAnswer: -116186*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22973564 to the power of 1\/2, to the nearest integer?\nAnswer: 4793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(45) - 2*sqrt(2880))\/(sqrt(90)\/(sqrt(60)\/sqrt(6)) + sqrt(9)))**2 + -5.\nAnswer: 1089\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2822221 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28 - -68 - 33) + 18?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(272)) - (sqrt(272)*3 + 5) - (-6*-1*sqrt(272) + -4*(sqrt(272) - sqrt(272)*-1) + sqrt(272)))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.7 (b) 4.82 (c) 1\/3 (d) 190\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/277 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 153.8624813 and -5.55?\nAnswer: 159.4124813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2592 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(-4 + 4 + 7*k)*(-2 + 4 - 3)*(2*k - 4*k + k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lal when three letters picked without replacement from lnrfaerflaalle?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 1. Let q = -203 - -208. Let l(h) = -7*h + 11. Let i(s) = -8*s + 14. Let f(m) = 4*i(m) - 5*l(m). What is q*v(r) + 6*f(r)?\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004815347 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 40*s**2 - 175*s + 2. Let z be j(-35). Solve -z*x = 16 - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (2 - -1) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - (-2)\/(-5)*5. Let l = -2 - m. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -79\/9?\nAnswer: -79\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.3 - -0.3. Let j = 32 - 32.3. Let z = 0.194 - 5.194. What is the nearest to b in j, z, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 a when two letters picked without replacement from allaalaaallalaallaal.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104627*-6.\nAnswer: 627762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 0*x**2 + x + 0*x**3 - 1\/40*x**5 + 1\/16*x**4 + 0 - 1\/120*x**6. Let t(d) = 0. Calculate d.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*((-1406)\/38)\/(-259)*-1*81?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/42990 and 10\/47289?\nAnswer: 472890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 - 77*l + 117. Let v be j(-40). Let d(r) = -2*r**2 - 11*r. Let k(o) = 2*o**2 + 12*o. What is v*d(b) - 2*k(b)?\nAnswer: 2*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 1, z: 1, b: 1, c: 2, i: 1}. Give prob of sequence ccz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Suppose -8 = -x*n - 0. Find the second derivative of g - n*g**3 - 3*g**3 + g + 7*g**3 wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -910.946937 to zero dps.\nAnswer: -911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58260071?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5592, 5610, 5640, 5676, 5712, 5742?\n\"Answer: -s**3 + 12*s**2 - 11*s + 5592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4291, -20630, -47873, -86026, -135095, -195086, -266005?\n\"Answer: -i**3 - 5446*i**2 + 6*i + 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*j**2*w**2 + 43803018*j**2 + 1760265*j*w**2 + 5*w wrt w?\nAnswer: -188*j**2 + 3520530*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*r - r - 3, 2*h = r + 1. Which is the nearest to 2\/9? (a) 0.21 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59593 nanoseconds in microseconds?\nAnswer: 0.00159593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/48 and -125\/10554.\nAnswer: 84432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/52417 and -20\/12805701.\nAnswer: 294531123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5.83049 times -0.53\nAnswer: 3.0901597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-2)*1528\/(-8022)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5681 + -1?\nAnswer: -5682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((9\/6)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/174 and -3\/8?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a - 1c?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t*u**4 - 4*t*u**2 + 2*t*u - 346*t - 17*u**4 + 2*u + 5 wrt u?\nAnswer: 36*t*u**2 - 8*t - 204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**3\/7 - 30*t**2\/7 + 99*t\/7 - 108\/7 = 0 for t.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3939, -15995, -36081, -64191, -100319, -144459, -196605?\nAnswer: -256751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1091 + 1101911\/1010. Is 0 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000179425 rounded to six decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((23\/(-69))\/(165\/10*-2))\/((-6)\/72)\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 325315689.\nAnswer: 3, 17, 41, 155579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 9.4 (b) -3\/7 (c) -2 (d) -1283\/5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 12a388?\nAnswer: -12a38b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((3 - 7)\/(-4) - 4)\/1. Let t(x) = -7*x + 5. Let l be t(-4). Let w be (-18)\/(1*a\/l). Calculate the highest common factor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 2*b - 48 = -h, -b = -1. Let s = h + -38. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1146 divided by -6\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 132194.181 + -132121. Let d = c - -0.819. What is the smallest value in -1, d, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 0*r + 28 = 0. Let w(q) = -7 - 10*q + 6 - 78*q**2 + 79*q**r. Calculate w(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1)**(-18)\/((h*((h**4\/h)\/h*h)\/h*h)\/h*h*h*h\/h**(2\/25))*(h**(-2)\/(h**(3\/8)\/h*h))\/(h*h**8*h**5) assuming h is positive.\nAnswer: h**(-11659\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 110\/40 + -13\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 + 96*p + 981. Let x be r(-12). Solve 406 = l + x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10185, 20393, 30645, 40965, 51377, 61905, 72573?\nAnswer: 83405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:24 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1074056567.\nAnswer: 19, 1571, 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 183*a + 218. Determine d(-2).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -983, -1951, -2919, -3887?\n\"Answer: -968*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4509558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 6 = -5*m. Suppose 0 = 4*h + 4*i + 4, 0*h = -m*h - 5*i - 9. Suppose 0*f = -5*c - 5*f + 5560, f = h*c - 2239. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 5*x - 7. Let h(q) = q. Let m(o) = 2*o**2 + 7*o - 4. Let v(k) = -4*h(k) + m(k). Calculate 3*n(y) - 5*v(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 4*y + 1. Let r(c) = -2*c**2 - 9*c - 2. Suppose g + 1 = 0, -5*g = 6*t - 3*t + 32. Give t*l(u) - 4*r(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3183 is divided by 1503.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-10) + 15\/(-450)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = y + 15, -45 = -5*y + 236*i - 232*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 224, 335?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-30)*(-9111)\/(-6)*-6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 575715 = 7484293\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.06047, 0, 6, -2\/3, 2\/11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21624 divided by -22.\nAnswer: -10812\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-5)\/(45\/(-54))) + 2\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = g. Let -7*l**2 - 9*l**3 - 3*l**3 - 4*l - 7*l**4 + 3*l**g - 5*l**2 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13 - -17) + 343\/(-42) - -4. What is the nearest to 0.1 in -1.4, y, 1\/7, -3\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 24*v**2 - 26*v - 11. What is the hundreds digit of y(22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -439, -46, 4, 122, -3 in descending order.\nAnswer: 122, 4, -1, -3, -46, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, s: 2, g: 1, e: 8, d: 6}. What is prob of picking 1 v and 1 g?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amg when three letters picked without replacement from zgmma?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 5 (b) 3 (c) 1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 714*g - 15018. Determine y(21).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4164.\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -23*h**4\/6 - 64*h. Let f(l) = -3*l. Determine r(f(m)).\nAnswer: -414*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 + 11*p**2 - 8*p - 16. Determine i(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -6\/11 (c) -6 (d) -2 (e) 6.8 (f) -68\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1150 and 15433.\nAnswer: 771650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - ((-7 - -2 - -4) + -9)) + 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 105. Suppose -2*i - 3 + m = 0. Let q(y) = -2*y**3 - 23*y**2 + 29*y - 2. Let h be q(-13). Calculate the greatest common factor of h and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 819209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*s + 117*s + 211*s.\nAnswer: 269*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d - 2. Suppose 0 = 2*s + 2 - 4. Let x(u) = u. Let b(i) = s*j(i) - 4*x(i). Calculate b(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxig when four letters picked without replacement from {x: 4, i: 2, k: 2, g: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -5*x**4\/6 + 5*x**3\/2 + 5*x**2 + 4*x. Factor w(s).\nAnswer: -5*(s - 2)*(2*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2607 - 2614 - z**5 + 5221 - 213*z**2 - 39*z**4 wrt z?\nAnswer: -60*z**2 - 936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5596506 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 1 - 13*o + o**2 + 40 - 32*o + 3*o. Let k be f(37). Solve -5*a - 32 = -0*d - 3*d, -5*d = 4*a - k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223.1 + -223. What is the biggest value in 4\/11, 4\/7, r?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (1 + (-3)\/3 - 1). Let o be (-99)\/5 - r\/(-30). Are o and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_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: Let m(v) = 2*v**2 + 29*v - 55. Let x be m(-16). Let o(w) = w**3 + 11*w**2 + 24*w + 2. What is the remainder when 56 is divided by o(x)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6622 is divided by 176.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -290 - -308.43. Let l = 1.23 - d. Let j = 21 + l. Round j to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-1)\/10*-3)\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 13) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1\/3)\/p*p**4)\/(p**1)**(-26\/7))\/(p*p**(-1\/2)\/p*p*p*p**(-2\/3)*(p*p\/(p*p\/(p\/p**6*p)))\/(p**(-2\/21)\/p)) assuming p is positive.\nAnswer: p**(397\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/48, -1\/4, 0.3, 1, -2?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 6, n: 1, j: 1, e: 6}. Give prob of sequence nq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30752 and 15910316?\nAnswer: 3844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 4*k - 7. Let q(a) be the second derivative of -4*a**2 + 0 + 11*a + 5\/6*a**3. Calculate -6*q(p) + 7*x(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 309 = -210 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70 - 70. Let a(u) be the third derivative of u**2 + 0*u**4 + 0*u**6 + w + 0*u**3 + 1\/150*u**5 - 1\/525*u**7 + 0*u. Let a(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*a + 178 = 0, 2*a - 265 - 183 = -5*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1065528 by -6.\nAnswer: -177588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**2\/5 - 2932*x\/5 + 2933\/5 = 0. Calculate x.\nAnswer: -2933, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 857 - 207485?\nAnswer: -206628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 - 8*s. Let r(h) = -h**2 - h. Let l(g) = -b(g) + 8*r(g). Let x(a) = -a**2. What is x(l(z))?\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 7*t**2 - 4*t - 3. Let i(g) = -g**2 + g + 1. Determine -h(m) - 4*i(m).\nAnswer: -3*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -429, -1241, -2589, -4467, -6869?\nAnswer: -9789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqmqmmmhmemmezqmhhe. What is prob of sequence hzhh?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 0 - 30. Solve w*a = -15 + 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 50 from -0.08985.\nAnswer: -50.08985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-380)\/24 - -2*15\/36\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.52 in -97, 5, -11, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40018?\nAnswer: 2, 11, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 199*j**3\/6 - 4*j**2 - 53*j. Let o(t) = -399*t + 14. Let q(f) = 4*o(f) + 7*x(f). Let y(m) = -2*m**2. Calculate q(y(b)).\nAnswer: 406*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7\/2)\/(21\/504). What is the remainder when (3 + 8\/(-2))*4*-19 is divided by t\/2*(-7)\/(-14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 7*d + 20. Let v = 59 - 50. Let c be f(v). Solve -c*n = -5*n - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -2519.896?\nAnswer: -2519.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -1 + 0*x - 11*x + 4 + 0 + 40*x. What is g(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 28440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 79 (b) 9 (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/2)\/(d**(-2\/11)\/d*d)*d**(-3\/2)*d*(d**(-2\/17)*d)\/d*((d*d\/(d\/d**(1\/3))*d)**24)**(-27) assuming d is positive.\nAnswer: d**(-282732\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 3*h - 1. Let i be n(4). Suppose c + 0 = i. Let j = -8 + c. Sort j, 0, 4 in ascending order.\nAnswer: j, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1007359?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8*b + 1372 = -2*y, 3*b + 4*y = 844. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.94 and -21367?\nAnswer: 105552.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r + 7*m - 26, -2*m - 38 = 5*r + 3*m - 9*m + 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {o: 5, i: 2, j: 7, c: 4}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85569 and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g + 37. Let o be j(9). Let f = 71\/148 + 10\/37. Is o < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9429 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and 3810941268.\nAnswer: 3810941267.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 11*h + 5. Let a be r(4). Let j = a - -31. Calculate the remainder when 30 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.1 - 1.8. Let o = -6.21 + 7.52. Let m = l - o. What is m rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/668 and 46\/17.\nAnswer: 11356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1) - (-5 + (13 - 6)). Let d(p) = -4*p - 3*p**2 - 1 + 0 - p**3 - 2*p**2. Let t be d(n). Which is the nearest to t? (a) -2 (b) -0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 0.28, 0.3, 2, 5.6?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 81. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1200, -9885, -33522, -79587, -155556, -268905?\nAnswer: -427110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 46\/5 of a minute?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5910 - 5910.008014. Round v to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 4*o**2 - 3*o**2)*(-104*o**3 + 14*o**3 + 8*o**3 + (o**2 - 2*o + 2*o)*(5*o - 5*o - 5*o) + (6*o**2 - 4*o**2 - 4*o**2)*(-o - 4*o + 2*o)).\nAnswer: -162*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 72589936 to the power of 1\/2, to the nearest integer?\nAnswer: 8520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**9\/30240 + d**8\/53760 - d**7\/5040 - d**6\/5760 - 29*d**4\/12 + 21*d. Let w(j) be the third derivative of i(j). Factor w(u).\nAnswer: u*(u - 1)*(u + 1)*(4*u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -471*g**2 + 1. Let o(r) = 5*r**2 - 81386 + 81386. Give d(o(z)).\nAnswer: -11775*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 125156242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/7*(-2)\/(-4)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 - 7*u - 7. Let g(c) be the second derivative of -c**3\/6 - 9*c**2\/2 + 5*c. Let v be g(5). Let o(a) = -a**3 - 3*a - 3. What is v*o(q) + 6*z(q)?\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r - 2. Let m be v(0). Let j be 50\/(-46) - (-3 - (-2)\/1). What is the biggest value in j, m, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*9\/(540\/(-8))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 213963086061 + -0.2\nAnswer: 213963086060.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 at least -0.16431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 3*m + 1. Let d(u) be the second derivative of u**4\/12 + 2*u**3\/3 + u**2\/2 + 15*u. Suppose -1 = -f + 5. Calculate f*v(i) - 5*d(i).\nAnswer: i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2500*t + 1259*t + 1250*t. Let w(b) = 4*b. Calculate 2*j(s) - 5*w(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**4\/13 - 8*n**2\/13.\nAnswer: 2*n**2*(n - 2)*(n + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:17 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 313707 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (-20 - -8 - -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116000 is divided by 6105.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let t(m) be the second derivative of m**3 - 7*m. Determine t(y(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*205\/615*8\/(-5)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -203\/401, -0.5, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 16. Let i be 78\/10 + (-4)\/(-20). What is the units digit of s(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 8:13 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8554, -17067, -25560, -34021, -42438, -50799, -59092, -67305?\n\"Answer: 2*p**3 - 2*p**2 - 8521*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (48\/20)\/(-1)*(-43)\/((-1376)\/80)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -360 - 4*i + 9*i**2 + 26*i**2 + 33*i**2 - 64*i**2.\nAnswer: 4*(i - 10)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1313 - 1303 = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1626067 - 1626067 + 31*f.\nAnswer: 31*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.944 + -16. What is w rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*y - 14 + y**2 + 29*y - 97*y + 42 to o*y**2 + n + m*y and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from tckzkkkktbkccbzttkbt?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*k + 53 + 96 = 0, -2*k = -3*z + 463. Let y(u) = 21*u - z*u - 12*u. Let j(i) = -i**2. Calculate y(j(r)).\nAnswer: 148*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 0.06, -0.2, -2\/11?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -11354?\nAnswer: -11360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - c**2 - 3*c - 9. What is the remainder when q(-3) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i**5 - 2\/3*i**4 + 0*i**3 + 0*i + 30*i**2 - 1\/210*i**7 + 0 + 0*i**6. Find the second derivative of j(b) wrt b.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 123\/2*h**3 + 125\/2*h**2 - 123\/2*h - 62 - 1\/2*h**4 = 0.\nAnswer: -1, 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -13. Let v(i) = -i**3 + 6*i**2 + i + 4. Let n be v(o). Is (16\/n)\/((-2)\/(-5))*21 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n - 8. Let z be o(-4). What is the common denominator of 107\/10 and z + (-3)\/((-81)\/(-93))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u - 9. Let x(m) be the third derivative of -m**4\/12 + 2*m**3\/3 - 2*m**2. Let f be 1\/(-3 + 60\/21). Determine f*x(z) - 3*w(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 32*i**3 - 17*i**2 + 21*i + 17. Let p be f(7). Suppose 4*c + 4*a = 13748, -10*c + 2*a - p = -13*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/5, 17, -14\/41?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11325554 (base 6) to base 3.\nAnswer: -122222022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 13 = -6*r. Suppose 0 = -r*x - 5*d + 9, -5*x + 4*d + 21 = -21. Let u be (-8)\/(-6) + (3 - x). Put 3, -3, u, -1 in descending order.\nAnswer: 3, -1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 0. Let g = c + -6. Let f(u) = 52*u + 5. Is f(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 27586.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16507035 by -18.\nAnswer: 1834115\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.2, 3, -83, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 17*g**2. What is m(1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11538 - 11501. Solve -l*n + 23*n - 14 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120200012102011 (base 3) in base 14?\nAnswer: -116b939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -9*p**2 - 13. Let t(q) = 4*q**2 + 6. Let x(l) = 3*f(l) + 7*t(l). Let n(y) be the first derivative of 1\/2*y**2 + 0*y - 356. What is n(x(d))?\nAnswer: d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 974307062?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8305?\nAnswer: 5, 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-30)\/v*v)\/v)**(2\/45)\/(((v*v**(-13\/4))\/v*v*v)\/(v*v\/(v**(-11\/4)*v*v))) assuming v is positive.\nAnswer: v**(118\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 90909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t - 2*t)*(3 + 12 - 7)*(-10*t**2 + 9*t**2 + 2*t**2).\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 26*k + 17. Let w(m) = m**2 + 1. Let f(h) = -b(h) - w(h). Let l be f(26). Let i = l + 34. Calculate the remainder when 95 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (7 + -2 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 658059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811048269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8566 - -10743. What is the remainder when y is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1202928.\nAnswer: 2, 3, 19, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - sqrt(170)*2*-1)\/(sqrt(10) - -1*sqrt(160)).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 o when three letters picked without replacement from rrooor?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -115427828939803 and 0.6?\nAnswer: 115427828939803.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 21. Calculate the lowest common multiple of m and 76.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 414, -1, 1, -45 in descending order.\nAnswer: 414, 1, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -17*v + 393. Find the first derivative of 14 + 30 - 148*l + 4*l - v + 29 wrt l.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 37*y + 9. Let d(u) = -25*u - 6. Calculate 8*d(t) + 5*l(t).\nAnswer: -15*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1010111101100010 (base 2) to base 11\nAnswer: -30807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 0*x**4 + 3*x**2 + 3*x**4 + 1660 - 1668 to k*x**3 + d*x**4 + f + h*x + j*x**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - i**2 - 2*i**2)*(-2*i + 0*i + i) - 3*i**3 + 4*i**3 + i**3 - 2*i**3 - 2*i**3 + i**3 + (8*i + 5*i**3 - 8*i)*(-6 - 2 + 3).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/9 of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, w: 1, f: 1, s: 1, c: 1}. What is prob of sequence cwww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 62943168?\nAnswer: 62943171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 6. Suppose 4*t - 12 = -s*t. Solve -4*k = k - 2*y - 8, 3*k - t*y - 3 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jujj when four letters picked without replacement from jnnrujunjnnuujjujnu?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12*-2)\/(168\/(-126))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42900 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1901 - 1383. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7471163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34540 - -51016. List the prime factors of g.\nAnswer: 2, 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 + -74 + 358149\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-17 + -6)) + -24?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -0*b - 2*b - 8, 2*q - 3*b = 29*q + 84 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**6)\/(z**9*z)*(z*(z\/z**(-4\/5))\/z)\/(z\/(z*z*z**3)))**(-10) assuming z is positive.\nAnswer: z**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 38 + 18 + 42 + 36*t to the form y*t + n and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3 = 3*k, -k - 5*s + 4 = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v + v + 3*v)*(-8*v**3 - 113*v**2 + 113*v**2) - 20*v**3 + 5699 + 21*v**2 - 5699 + v**4 in the form t*v**3 + k*v**2 + r*v + u + h*v**4 and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 880 and 213290?\nAnswer: 1706320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k - 8. Suppose 2*z + 8 = -0*z. Let y(p) = 4*p + p + 3 - 6*p. Calculate z*g(u) - 11*y(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/(5 - 2) + 2. Let s = m - 14. Let q = s - -38. Solve 5 + q = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2 - l. Let r = 1 + 0. Let s be g(r). What is the second derivative of 0*k + 0*k + 2*k**s - k wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = 5*a, a + 5 + 10 = 3*z. Let t = -275262 - -275266. Solve -3*x + 0*x + z = -3*g, 0 = t*g + 3*x + 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -780 (base 15) in base 10?\nAnswer: -1695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/(s*s*s\/((s**(-13)\/s)\/s)*s))*s**(-2\/31)*s**(1\/5)\/s*(s*s*s\/s**(-35))\/s assuming s is positive.\nAnswer: s**(8701\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*y*y\/(y\/(y*y**(-1)))*y)\/y*y\/(y**6\/y)*y**(-1\/6)\/(y**(-1)\/y))**(-30))**(-50) assuming y is positive.\nAnswer: y**1250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 180 + -180.2. Which is the second biggest value? (a) m (b) -0.4 (c) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -46. Suppose -5 = -g*q - 5*t, 4*t + 3 + 9 = 0. Calculate the greatest common factor of q and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.33 (b) 4\/7 (c) 1\/158 (d) -122 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*h, 2 - 5 = 3*h - 3*v. Suppose 3*j - 24 = -h*z, -2*z = 2*z + 20. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-246)\/410)\/((-2)\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*i**5 + 15079*i**4*t**3 + 8*i**2*t**3 + 9*i**2*t - 20*t wrt i.\nAnswer: 2580*i**2 + 361896*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 + 6 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -34*r**3 - 3*r**2 - 6*r + 10. Let a(i) = -32 + 95 - 33 - i - 29. Let c(z) = 6*a(z) - p(z). What is the third derivative of c(l) wrt l?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*j - 87 - 523 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*d - 72 = -129 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3496350?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3 = -3*y. Is y bigger than 1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 24 = k + 5*q, 5*k = -6*q + 54 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-1\/38))**(-6\/7)\/(j**(-33))**(-47) assuming j is positive.\nAnswer: j**(-29502\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795225151?\nAnswer: 7, 131, 867203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - (-18 - 4)) + -10 + -21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 136 = 4*n, 0 = -2*n - 0*o + 5*o + 68. Let d be (12 + -11)\/((-1)\/(-51)). What is the highest common divisor of d and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 3 + (-36 - (-51 + 25))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -162*r - 3923. What is f(-24)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 123781320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51 or -55?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14377631.\nAnswer: 17, 97, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15, -10, -2\/7, 26?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 + 95.059. Let i = x + -0.0528. Round i to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*(3 + (-22)\/6). Calculate the remainder when (-38)\/g - 13\/((-156)\/8) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -193, -0.1, 35\/9, -1\/7, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + 1) + 2 - (-4 + sqrt(13)*1 + 2).\nAnswer: -3*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 2, 0.4, -2\/1841, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**4 + 8*m + 6. Suppose 4 = u - 2. Let k(q) = -q - 1. Let a(b) = u*k(b) + j(b). What is the second derivative of a(o) wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let w(b) = -2*b. Let q(g) = 5*f(g) + 3*w(g). Let y(i) = -17*i. What is y(q(t))?\nAnswer: 17*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3337171727.\nAnswer: 3337171727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/112)\/((-1506)\/126504)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 712.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -38a7 (base 11) to base 9\nAnswer: -6862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295698.\nAnswer: 2, 347, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 9766.3286\nAnswer: -9764.3286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a milligram in micrograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8 - (-6 - -778) - -6. Let p = d - -776. Let 0 - 20\/7*j**4 - 16\/7*j**p + 4\/7*j**5 + 32\/7*j**3 + 0*j = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669 + 2 + -11 + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -3\/5, 24347, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**5\/5 - 6*f**4\/5 + 124*f**3\/5 + 474*f**2\/5 + 468*f\/5 = 0.\nAnswer: -3, -2, 0, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -460.3038 to the nearest ten.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27758 - -860499\/31. What is the third biggest value in -1\/3, 0.071, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -736a (base 11) in base 2?\nAnswer: -10011000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/33)\/2 - (-144)\/(-792)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-2))\/((-20)\/42). Let l = o + 451\/60. Which is bigger: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 2*s - 12. Suppose y + 3*p = -3, 0 = -3*y + p + p + 13. Let q be ((-1)\/(3\/(-2)))\/((-552)\/(-5796)). Suppose -q - y = 2*f. What is m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.385 times 0.2?\nAnswer: -2.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328544 is divided by 1025?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27633 - -38961. Is g a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971457?\nAnswer: 3, 323819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, -16, -40, -74, -118?\n\"Answer: -5*f**2 + f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/(-6))\/(2\/24). Let y = 164\/9 + h. Suppose 0 - 2\/9*m**4 + 0*m + 4\/9*m**3 - y*m**2 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 13288?\nAnswer: 93016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91243, -91278, -91317, -91354, -91383, -91398, -91393, -91362?\nAnswer: -91299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 16*l. Let v(s) = 14*s**2 - 24*s**2 - 10*s**2 - 5*s**2. Calculate h(v(r)).\nAnswer: -400*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jiijjjjjjjij. What is prob of picking 2 i and 2 j?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 6*t + t - 55 = 0, 4*j + 32 = 2*t. Let v be 6\/13*3\/j. Let y = 17 + -16.8. Put y, -3\/5, v in decreasing order.\nAnswer: y, v, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2, 5, 0.2, -9\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 8*v**2 + 2*v - 12. Let s(z) = -z**3 - 6*z**2 - 6*z + 3. Let p be s(-5). Give a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 944334.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 10 = 5*u, -4*u - 5*q - 15 + 2 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5084218753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - i**5 + 2*i**5 + 0*i**5 + 2*i**5 - 4*i**5 + 0*i**5 + (1 - 1 + 2*i**2)*(-i**2 + i**2 + 3*i**3).\nAnswer: 5*i**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/7, -1\/2, -79, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1339*a + 1456*a - 2201*a in the form r*a + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2049 - -2050. Let p(y) = 9*y**2 + 6. Let m(u) = u**2 + 1. Determine i*p(o) - 4*m(o).\nAnswer: 5*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g - g + 5. Suppose -2*v = g*u - 2425, -4*u - 3474 - 2506 = -5*v. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 4 = 0. Suppose 3*h = d*h + 3. Let r(b) be the third derivative of -b**5\/30 - b**4\/8 + 2*b**3\/3 - 34*b**2. Determine r(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.721 - -73.319. Let g = l + -78. Let p = -4.1 - -4. Which is the nearest to -0.1? (a) -2 (b) g (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/15? (a) 1\/35 (b) 7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*k = -75*k - 2*b - 12, 4*k = -b + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-510)\/45)\/(12425\/213 - 56).\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**8\/560 + 2*w**7\/175 - w**6\/40 + w**5\/50 - 24*w**2 - 43. Let g(q) be the second derivative of o(q). Factor g(m).\nAnswer: -3*m**2*(m - 2)*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6021*a**4 - 2*a - 1786?\nAnswer: -24084*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**0)*t)\/t**7)\/(t**(2\/5))**(1\/29))**(31\/3) assuming t is positive.\nAnswer: t**(-27032\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 4:48 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 = -4*d - o + 6*o, 3*d - 249 = -5*o. Suppose -4*b - 14 = -d. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41506734*o**2 - 41506734*o**2 + 69*o**3.\nAnswer: 69*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.1 - 7.14. Which is the nearest to 1? (a) h (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462988 is divided by 1696.\nAnswer: 1676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = -15. Let o(n) = n**2 + 13*n + 3. Does 9 divide o(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**7\/21 - 2*l**6\/5 - l**5 + 26*l**4\/3 + 35*l**3 + 50*l**2 + 8*l. Suppose r(a) = 0. Calculate a.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -2832.\nAnswer: -2830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**5\/60 - 3*o**2 + 32*o + 5. Let i(m) = 140*m. Give i(v(q)).\nAnswer: -140*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.156 * 0.0192.\nAnswer: -0.0029952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -101 - -101.388. Let u = 50.112 + c. What is u rounded to zero decimal places?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7*q - 32. Let z(m) = m**2 + 9*m + 12. Let w be z(q). Let y = 2 + 0. Solve -4*u - w - 2 = -y*s, -15 = -4*u - 5*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o + 150. Let y be a(-15). Solve 15*u - 8*u - 21 = y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*w**3*x**3 - 658*w**3*x**2 + 6*w**2*x**3 - 8652*w*x**3 wrt w?\nAnswer: -228*x**3 - 3948*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, -3, 0, 793 in decreasing order.\nAnswer: 793, 3, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - 34*g + 68*g**2 + 34*g.\nAnswer: 68*g**2 + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 1, b: 2, m: 1, h: 1}. What is prob of sequence ht?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 at least as big as 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -6, -1\/110, -1\/2, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1475 and 47825.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1109*f - 9 + 2756*f + 9.\nAnswer: 3865*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, g: 4, z: 2}. What is prob of sequence gggw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v - 15. Let a be k(-9). Calculate the highest common divisor of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (108\/(-126))\/(4\/14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*2)\/((-99)\/15 + 7). Solve -3 = 4*i - 0*i - a*n, 0 = 3*i + n - 12 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.95 - -5. Let b = z + -0.05006. Round b to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(2 - 2 - 3*q) - 3*q - 7*q - 2*q.\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20012 + 2?\nAnswer: -20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 l, and 1 u when four letters picked without replacement from {p: 3, u: 5, l: 2, z: 1, v: 1, y: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20100122 (base 4) to base 5\nAnswer: 2040233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*y + 4*u, 5*y + 3*u - 23 + 1 = 0. Suppose y*z + 2*g - 199 = 3*g, -3*g + 413 = 4*z. What is z rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b*y**2 + 58*b*y - 69*b + y**2 + y + 353 wrt y?\nAnswer: -6*b*y + 58*b + 2*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, i: 2, h: 7, m: 5}. Give prob of sequence mm.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*r**2 + 1 + (-4*r + r + 2*r)*(-2 + 5 + 0)*(2*r - 3*r + 5*r) to g*r + s*r**2 + a and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - (4 + -7) - 43. Let x be 46*(-19 + 14 - -1*4). Is y at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/(-264) + 2 + (-6 - -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1*(15\/25 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/3)\/w*w\/(w*w**(1\/15)*w) assuming w is positive.\nAnswer: w**(-41\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x)*(3*x - 2*x + 2*x) + (0 + 3 - 1)*(x**2 + 2*x**2 - 2*x**2) + 0*x**2 - x**2 + 2*x**2 - 6*x**2 + 15*x**2 + 11*x**2.\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l**3 + 66*l**2 - 33*l - 18. What is n(-10)?\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 799986.8241 rounded to the nearest ten thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4.9 (b) -50 (c) 0.1 (d) -1\/48 (e) -304\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 + 28*c. Let s(f) = -2*f. Let i(w) = 13*w. Let l = 88 + -87. Let h(a) = l*i(a) + 6*s(a). Determine h(b(x)).\nAnswer: -2*x**2 + 28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10721, -11868, -13015, -14162, -15309, -16456?\nAnswer: -17603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 0*k - 2*k + 26, -2*k = -10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58 - h + 2*h - 58.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2802 and 0.4.\nAnswer: 1120.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -2. Let p = b + -10.3. Let l = 3 + -2.8. What is the third smallest value in p, l, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16*((-51)\/12 - 2). Let s = l + -41. Let g(x) = 42*x + 94. Calculate the remainder when s is divided by g(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**2. Let z(j) = 14*j**2. Let q(t) = -11*c(t) + 4*z(t). Determine q(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3782, 3725, 3630, 3497, 3326, 3117?\nAnswer: 2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (133\/(-70))\/19 + -69*(-5)\/(-50). Let x(s) = s**3 - 39*s**2 + 2*s - 2. Let f(m) = 3*m**3 - 117*m**2 + 7*m - 7. Calculate q*x(i) + 2*f(i).\nAnswer: -i**3 + 39*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-320)\/12)\/(-5)*-9. Let u = 47 - -45. Let n = z + u. Is n a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*t + 15. Solve t = -3*x + x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2545*v - 71301. What is m(-28)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335063 is divided by 444410?\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.502139 to two decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {g: 4, m: 10, s: 1, f: 3}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 513.374?\nAnswer: -513.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-18) - (1 + (-8)\/12). Let d = -55 + 51. Let f(q) = -q**2 - 6*q + 4. Let y be f(-6). What is the fourth biggest value in y, j, d, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5\/597582 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 12*d**3 - 3*d**2 + d - 2. Let q be j(2). Let x be 0 - (2 - q\/39). Is -2\/11 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 4. Let q be (9 + -15)*10\/12. Let a(l) = -l + 5. Let p(n) = 5. Let g(h) = 2*a(h) - 3*p(h). What is q*g(w) + 6*d(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (1 + 4)) + (7 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 298880513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 57852*x**2 - 36075234*x - 5686069576.\nAnswer: -2*(x + 317)**2*(x + 28292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 36\/(-4)*1\/(-3). Suppose -y*r - r + 792 = 0. Suppose 14 = i - 4*g, 0*g - g + 24 = i. What is the highest common divisor of i and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Suppose 0 = -x*q - q + 5908. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**4\/12 + 7*z**3\/6 - 7*z**2\/2 - 3*z. Let k be t(-7). Is -7 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/31 (b) 55 (c) -2 (d) 25 (e) 0.5 (f) 2\/35 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 21*n + 12. Let b(o) = 3*o - 1. Let l be b(-3). Let p be r(l). Suppose -p*a = -y - 7*a + 454, 466 = y + a. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 82*m + 85*m + 2.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25781389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -8 - 2 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 27\/900208?\nAnswer: 27\/900208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 2*y**2 + 14 + 20*y + 3*y. Let o(d) = d**2 + 12*d + 7. Let z(u) = 7*o(u) - 3*q(u). Is z(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o. Suppose 2 = -g - 2*z, 3*g + 5*z = -o*g - 2. Suppose -g = -2*c + 12. Calculate the remainder when 16 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33 and 28402?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f + 45. Let l be r(5). Let h be (l + 1)\/(3\/(-2)) + -3. Let v(k) = -k + 1. Give v(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -25*v - 27. Suppose 11*j = -25 - 41. What are the prime factors of w(j)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -207982938 and 0.33?\nAnswer: 207982938.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 (base 5) in base 13?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -7*p + 8*p - 4*g, 12 = -16*p + 4*g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k*k**(-1\/8)))**(1\/2)*k**4*k*k**(-4)*k assuming k is positive.\nAnswer: k**(25\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, x: 3}. Give prob of picking 3 x.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 4\/7, -2\/5, -2\/11, 1 in increasing order.\nAnswer: -2\/5, -2\/11, 0.3, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (12210\/(-240))\/(-37). Factor 1\/8*l**4 - 3\/2*l**2 - r*l**3 + 10*l - 8.\nAnswer: (l - 4)**2*(l - 1)*(l + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 707*p - 10054. Determine c(15).\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4025921*0.6\nAnswer: -2415552.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*22\/(-220))\/(8\/(-12))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/(-5) + (0 - 0). Suppose 0*u + u + 10 = 0. Is -1*(u - 3\/j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82.62971*0.09\nAnswer: -7.4366739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853368 is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*b + h = -5, h = -3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 30*d - 39*d)*(-d**2 - d**2 + d**2) + (1 - 1 - d)*(-2*d**2 + 2*d**2 + 2*d**2).\nAnswer: 69*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((9 - 39) + 19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -170*d + 31*d - 145*d - 2*d + d + 0*d + 5*d - d + 0*d + 2 - d - 2 + (d + 4*d - 3*d)*(-3 + 5 + 0) + d - 4*d + 4*d + 2*d + d - 2*d.\nAnswer: -276*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8799856 + 0.88. What is q rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*g + 1281 + 419 = -1276 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 65*w**2 + 69*w - 316. Let d be y(64). Sort d, 2, 52, -1 in decreasing order.\nAnswer: 52, d, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 4*r - 2. Let s be (6\/(-40))\/(r\/(-16)). Let y = -0.03 + 0.13. What is the nearest to y in -0.2, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-7)\/1414). Let k = 105 + y. Solve g + 15 = -k*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 189, 1387, 4635, 10959, 21385, 36939, 58647, 87535?\n\"Answer: 171*u**3 - u**2 + 4*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7226 + -21676\/3. Let m(r) be the second derivative of 13\/12*r**4 - u*r**3 + 0 + 0*r**2 + 3*r. Find the second derivative of m(o) wrt o.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*r - 4, 3*n + n = -4*r + 20. Let o(k) = n*k + 3 - 3 - 4*k. Let v(u) be the third derivative of -u**4\/8 - 2*u**2. Determine v(o(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10000 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 33. Let l = u - -31. Let b = 21 - l. What is the second biggest value in -2, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 4203, 2, 0 in descending order.\nAnswer: 4203, 2, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138525 is divided by 136590.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -244 - -458. Suppose -b = -2*r + 214. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*s + 87*s + 982 - 324 + 16*s**2 - 317 - 341.\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f - 38*f = -21*f + 148168. List the prime factors of f.\nAnswer: 18521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 * 0.04488.\nAnswer: -0.107712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 11117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -623 and -3?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llpp. Give prob of sequence lpl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3 + 621*r**2 - 306*r - 309.\nAnswer: -3*(r - 103)*(r - 1)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**8*m*m\/(m*m*m*m\/((m*m**(-18)\/m)\/m)*m*m))\/((m\/m**18)\/(m**(5\/7)\/m)) assuming m is positive.\nAnswer: m**(-93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2 + 17. Let g be (-66)\/55*(-110)\/m. Let h = g - -46. Solve 16 + 17 = 4*a - 5*z, h*z + 18 = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -14\/11491 in ascending order.\nAnswer: -1, -14\/11491, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 - 44. Let p be (-16)\/(-7) - 6\/g. Solve -4 = p*l - 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*n + 29*n + 21*n = 1701750. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*2\/(-51) - (-757504)\/2176 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12122 (base 5) in base 13?\nAnswer: -552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -29*s**6\/6 + 6*s**3 + 22. What is the third derivative of f(d) wrt d?\nAnswer: -1740*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5937 and 322353.\nAnswer: 637936587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 790417207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t + 6. List the prime factors of b(-3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = -14. Let i(m) = -m**2 - 5*m - 2. Let j be i(p). Let q(u) = -20*u + 608. Let c be q(30). Solve -j*x + t = -0*t - 11, 2*x - c = -2*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74271 = 380*x - 55271 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1634 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2852 = -5*j, 1140 = 6*j - 4*j - 2*z. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**2 - 76*k - 246 = 0.\nAnswer: -3, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 2*f**2 - 223*f - 29. Give x(-16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664285047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 1\/8, -31\/4, 1\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1336*x - 909160 = -6181*x - 5862*x - 2281*x for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7459.000008434 - -7459. Round a to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, r: 3, v: 1, w: 11}. Give prob of sequence ri.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -606227*a**3 - 672*a + 243 wrt a.\nAnswer: -3637362*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 446, 988, 1736, 2684, 3826, 5156, 6668?\nAnswer: 8356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s - 16. Let t(o) be the first derivative of -o**2 - 5*o + 522. Give -2*j(n) + 7*t(n).\nAnswer: -4*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72988889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/9*(41 + -40). Is t bigger than -236?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77\/36 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 13. Let o = -1 - k. Suppose 124 = 2*t - 2*z, 0 = -6*t + o*t - 4*z + 158. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.744384549 rounded to 2 decimal places?\nAnswer: -3.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhz when three letters picked without replacement from zuhhpdqq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 0*t = t - 96, 2*c + 4972 - 2503 - 2518 = -11*t for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 5. Is 16 a factor of w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = s - 2, 0 = 4*z - s - s + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -783, -812, -815, -780, -695, -548?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = -20*d - 1. Let u be 1\/((-1)\/d*-3). What are the prime factors of 111 - (-1 - u) - 0?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1924634743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -261*g**2 + 331*g**2 + 4 + 21*g - 4 + 0*g as o*g + k*g**2 + d and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*h**3*l*w - 12*h**3*l - 10*h**2*w + l*w - l + 3*w wrt h.\nAnswer: 114*l*w - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 - 111100000001110101101110?\nAnswer: -111100000001110110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10320200211 (base 4) to base 14\nAnswer: -2546b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10 + w + 3*w - 3*w - 9. Let a be v(1). Solve a*m + 0*m = 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(4032) + 0 + sqrt(4032) - (sqrt(4032) + -6*-2*sqrt(4032)))**2.\nAnswer: 7920*sqrt(7) + 1463691","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 2*b**3 + 441 - 441.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2eedb4 (base 16) to base 4\nAnswer: -23232312310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -5. Are p and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 1. Let t be m(-1). Solve -4*x = -x - t, 5*x = -5*j + 25 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 626\/(-30) + 20\/(-150). Let i be 14\/w - (-21)\/(-9). Let b be i + (-44)\/28 - -2. Is b greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 9526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4 - -0.5. Let l be 1 - 0 - (-7)\/(-9). Let h = 0.54 + -0.6. What is the second biggest value in h, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 3*k**2\/2 + 13*k - 305. Let x(n) = n. Calculate j(z) - 5*x(z).\nAnswer: -2*z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000 rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 5\/6 (c) 0.142 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 234, 468, 702, 936, 1170, 1404?\n\"Answer: 234*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -1201293.\nAnswer: -11\/1201293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4433*c + 6358*c - 4911*c)*(1 - 3 + 4) to a*c + p and give a.\nAnswer: -5972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/25)\/(((-17)\/255)\/(2\/6))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31336331, 31336324, 31336317, 31336310, 31336303, 31336296?\n\"Answer: -7*a + 31336338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ott when three letters picked without replacement from bppobtoztbzob?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14420 (base 5) in base 10?\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*z + 130748 - 500779 = 0. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*g + 40 + 158 + 2*g**4 - 172 as r*g**3 + o*g + s*g**2 + k + c*g**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**2 - 24*s + 1. Let m(z) = -3*z**2 - 12*z. Suppose 0 = 8*p + 35*p + 9 + 206. What is p*m(q) + 2*x(q)?\nAnswer: q**2 + 12*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32078 and 11954.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81972 and 1933932?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 4, -413 in decreasing order.\nAnswer: 9, 4, 3, -413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 61*h**2 - 2*h. Let g be s(2). Suppose 0 = -3*v + 3, -3*f + 2*v + g = -v. Let b = f + -54. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -3*u**5\/2 - 11*u**4 - 14*u**3 + 19*u**2 + 15*u\/2 = 0?\nAnswer: -5, -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2321 - -2313. Sort 2, -24, r, -5.\nAnswer: -24, r, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 2*s + s + 7*s + s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*p = 48 + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 l when two letters picked without replacement from evvvswleevwelvel?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-6)*(-24)\/(-126)*-15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0*28002\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*x = -5, 0 = 3*m - 6*x + 10*x + 10. Let y(u) = -u**3 - 11*u**2 - 11*u - 5. Let k be y(-10). Put m, k, 1 in increasing order.\nAnswer: m, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1196*q**2 + 2056*q**2 - 5500*q**2 + 2232*q**2.\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4664 + 5?\nAnswer: -4659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1032362281\/6 or -172060381?\nAnswer: -1032362281\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(304) + sqrt(19))**2 - -1*(0 + sqrt(114)\/sqrt(6)).\nAnswer: sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -278208 in -3, 0, -1136?\nAnswer: -1136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000110110 + -11110?\nAnswer: -11001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13534.11 - 13534. Which is the nearest to 0.1? (a) i (b) 5 (c) -1\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000101289193 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1496 and 5949966.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 45*(-2)\/9*19875\/2650\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7424 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a + 3*a + 6*a)*(-3 - 2 + 3)*(3*a**2 - 2*a**2 + a**2) to o*a**3 + t*a + f + g*a**2 and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63775606*x**4 - 20587676*x**2.\nAnswer: -1530614544*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 5:07 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12121221012201 + -101?\nAnswer: 12121221012100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 2506913.\nAnswer: 42\/2506913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**3 - 4*k**2 + 4. Let x be f(4). Suppose -4*i = -4 - 8, 4*i = -5*r + x. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2902, -289, 5, -3 in descending order.\nAnswer: 2902, 5, -3, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/70*20\/(-6)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29377 = 1168*r - 155*r for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29706\/9 - (-12)\/(-18). Round x to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 44062342 - -3?\nAnswer: 44062345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x - 11*x + 4*x - 2. Let k(f) = 4*f**2 - 1. Let q be k(1). Let p be (1 + 0)\/(q\/6). Determine w(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/5 - -3\/10. Let p = 3.04 - 0.04. Let r = -0.269 - -0.569. What is the closest to p in l, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 33 - 129. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 + 7905\/75 - (-3)\/((-15)\/167).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide -13*720\/(-12 - -7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8903 + -6051. Let i = 76988\/27 - j. What is the common denominator of i and 137\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 23 - (-17 - (-27 + 32))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-715)\/(-235) + (4\/28)\/(6\/(-126))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-75)\/(-2) - -1)*6. Suppose 0 = s + 3, 0*s = 2*t + 2*s + 6. Suppose 0*j + 3*j - z = t. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -8.5. Suppose 4 = -3*b - 32. Let y be 2\/(-7) - b\/(-7). Put y, m, 1\/7 in increasing order.\nAnswer: y, 1\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 2942293878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (-7 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 + 40 - 83 - 22*v in the form y + b*v and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 - 1 - (11 + -10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**21)\/z**5*z*z*(z*(z\/((z**21*z)\/z)*z)\/z)\/z*z*z*z*z**(3\/5)\/z assuming z is positive.\nAnswer: z**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.1 (b) -1 (c) 0.2 (d) -5 (e) -112\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2847*x**2 + 3059*x**2 - 5885*x**2.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u = -10*u - 13*u + 2268. Calculate the greatest common factor of u and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 916000 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5, -172*w - 7*z - 18 = -167*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 3:18 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*v - 83*v + 40 = 0. Solve t - 5 = 4*d, -24*t + 5*d = -v*t + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of 13*y**5\/20 + 11*y**4\/12 + 11*y**3\/6 - 11*y**2\/2 - 56*y. Let f(x) = -7*x**3 - 6*x**2 - 6*x + 6. Determine 6*b(q) + 11*f(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 177454372 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73988332?\nAnswer: 2, 11, 23, 113, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 89033160*m - 89033155.\nAnswer: -5*(m + 1)*(m + 17806631)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*c**6*r - 116*c**6 - 3*c**2 - 15*c + 11*r wrt c?\nAnswer: 2640*c**3*r - 13920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5343.237 years to decades.\nAnswer: 534.3237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2097396*x + 2097375*x - 4194754*x.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6638.88l?\nAnswer: 6638880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*x = -4*x - 12, -4*u - x - 3 = 0. Let f be u\/(-3) - (-5)\/20. Find o, given that -1\/4*o**3 + f + 1\/4*o - 1\/4*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 10*i**2 + 23*i - 117. Determine w(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607, -609, -615, -625, -639, -657?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjj when three letters picked without replacement from {j: 4, l: 1, r: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -720.3? (a) 4 (b) -2\/47 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 2\/3*f**3 - 10*f + 0*f**2 + 0*f**4 - 39 + 5*f**5. Find the third derivative of k(q) wrt q.\nAnswer: 600*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 244688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9819 + 15.\nAnswer: -9804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39814 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3052 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 71 = u, 4*u - 5*c - 262 = -0*c. Calculate the greatest common factor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2)*12\/(-63). Is c != -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1001 divide 23232560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 550?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.9381 at most as big as -3\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m**2 + 4. Suppose -4*i - i + 5*w - 105 = 0, -3*i = 5*w + 39. Let s(f) = 2*f**2 - 1. Give i*s(b) - 4*u(b).\nAnswer: -4*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = l - h - 11, 3*l = -4*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a centimeter in millimeters?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**6\/120 - n**5\/30 - n**4\/8 - 73*n**2\/2 + 52*n - 1. Let z(h) be the first derivative of l(h). Give z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 40, -1, -3, -11, 2 in decreasing order.\nAnswer: 40, 18, 2, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2370862 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-24)*z\/(z\/(z*z**(5\/3))) assuming z is positive.\nAnswer: z**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 23*z + 90. What is u(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 + 32. Which is the fourth biggest value? (a) -2\/13 (b) 2 (c) 5 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4221)\/2345)\/((-3)\/(-25))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -0.01. Let f = x + 0.106. Let p = f + 0.0040156. What is p rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-70) - (-27)\/7. What is the tens digit of 110\/l + (-1)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 5, -1, 87 in decreasing order.\nAnswer: 87, 27, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2110000 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18168, 18190, 18212, 18234?\nAnswer: 18256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*y**3 - 18*y**3 + 70*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47526*j**2 - 30355230*j - 9694062075\/2.\nAnswer: -3*(178*j + 56845)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11907, -23812, -35711, -47604?\n\"Answer: 3*r**2 - 11914*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:06 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 7:49 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**4 + 14*y**3 - 53*y**2 + 91*y - 55. Let p(n) = -3*n**3 - n - 9*n**3 + 1 + 8*n**3 + n**2 + 5*n**3. Let b(a) = 5*j(a) - 5*p(a). Solve b(z) = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2067 plus -69465977116?\nAnswer: -69465979183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -2*o**6\/15 + 6*o**5\/5 - 5*o**4\/3 - 183*o + 260. Let m(w) be the first derivative of s(w). What is x in m(x) = 0?\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163577 + -163586. Let k = 0.2 - 0.16. Let s = k + 2.96. Is s greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000541405626 rounded to six dps?\nAnswer: -0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2722 - -2723. Calculate the least common multiple of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - s**3 + 1 + 3*s**3 - 15*s**4 - 34*s + 36*s - s**4 to the form z + b*s**3 + k*s + j*s**4 + o*s**2 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 466, 771, 1130, 1549, 2034, 2591?\nAnswer: 3226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -771*s + 1 - 1180*s + 126*s - 1176*s - 255*s + 4302*s**2 wrt s?\nAnswer: 8604","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25\/6*(-10332)\/(-1435)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -3, -0.4, -4 in descending order.\nAnswer: -0.4, -0.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 357 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31\/21 - -8\/7. Let p be (-22)\/80 - 2\/16. Let l = 190 - 3228\/17. What is the nearest to v in p, 4, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -36. List the prime factors of d.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 106 - 106. Solve -2*c + 10 = 3*t, b*t + 2*t - 5 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-4))\/((-1)\/(-34)). Let f be (a\/(-51))\/((-2)\/(-15)). What is the biggest value in -1\/4, -7, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-6)*k**(4\/7)*k)\/(k\/(k\/(k\/k**(4\/5)))*k*k*((k**4*k*k)\/k)\/k) assuming k is positive.\nAnswer: k**(83\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -222+-0.040576\nAnswer: -222.040576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 2*b + 6*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.8 to zero decimal places.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 234 and 235 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**2 - 2*s**2 + 0*s**2 + (-3 + 3 + 2*s)*(2*s + 2*s - 5*s) + 47*s**2 + 146*s**2 + 39*s**2 + 167*s**2.\nAnswer: 398*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 4*s**2 - 8 + 2*s + 2*s**3 - 3*s**2. Let b be x(7). Let p = -5 + b. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78234271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16251 - 48752\/3. Which is the second biggest value? (a) r (b) -0.2 (c) -105\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 60288*t + 120564.\nAnswer: 3*(t + 2)*(t + 20094)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1738*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -1\/4*h**4 + 0*h**3 + 1\/2*h**2 + 1\/2*h - 1\/10*h**5 + 2. Factor m(l).\nAnswer: -(l - 1)*(l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1801, -7260, -16387, -29176, -45621, -65716, -89455, -116832?\nAnswer: -147841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9bd6 (base 15) to base 3\nAnswer: 1200100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-28*g**4 + 108*g**4 - 20*g**4).\nAnswer: 60*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, i: 2}. What is prob of picking 1 e and 2 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + w - 1225 = 0, 0*h + 5*w = -4*h + 4905. Suppose 5*v = -65 + h. List the prime factors of v.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 7*t - 5. Let i = 13 + -11. Let j(q) = q + 1 + i - 4 + 0. Give 5*j(v) - m(v).\nAnswer: 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -29*v**4\/12 + 3*v**2\/2 + 34*v. What is the derivative of n(r) wrt r?\nAnswer: -58*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from kkkkkwkkkgkkkkwkwkww.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -127*n**6 - n**2\/2 - 234*n - 431. What is the second derivative of j(d) wrt d?\nAnswer: -15240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -264*l - 1854. Calculate h(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 50, 5, -2 in decreasing order.\nAnswer: 50, 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 4\/(-12) + (-9572)\/(-6). List the prime factors of w\/9 - (-20)\/(-90).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*l - 22, 4*l + 10*s - 12 = 6*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*f**2)*(8*f + 8*f - 31*f + 2*f + 3 - 3 + (3 + 2 - 3)*(-f + 2*f + f)) - 2*f**3 + 0*f**3 - 2*f**3.\nAnswer: -31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23455007.\nAnswer: 23455007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 13489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/30*16\/(-56).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**6\/6 + j**5 - 5*j**4\/4 + 19*j. Factor u(l).\nAnswer: -5*l**2*(l - 3)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6993741, -6993742, -6993743, -6993744, -6993745?\nAnswer: -6993746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 4*l**3 - 2*l**3)*(5 + 0 - 3) - 3*l**3 + l**3 + 0*l**3 + (-2*l**2 + 3*l**2 - 2*l**2)*(2*l - l + l).\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 329\/10. Let i = 12469\/447125 - 3\/6125. Which is the closest to i? (a) -2 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 61.04 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2071 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4111582157 to 4 dps.\nAnswer: -0.4112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/2, 5, 154, 1, -0.2, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27924483*j**2 + 7*j - 447550 wrt j?\nAnswer: -55848966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 18*a - 4 + 5)*(-37 - 22*a + 37) in the form p*a**2 + t + f*a and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*p - 10. Let t be (2\/8)\/(-1) - (-66667)\/652. Suppose -t = -5*n + 2*f, -3*n - 5*f = -p*n + 24. What is the greatest common factor of n and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5))**(-1\/40)\/(c**5*c)**36 assuming c is positive.\nAnswer: c**(-21599\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 - 11. Let l = -1 + -2. Let w = f + l. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1787*x**4 + 5*x**2 + 36*x - 352 wrt x?\nAnswer: -21444*x**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53274850 is divided by 53274824.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/4 - 15*q**3\/4 - 81*q**2\/4 - 189*q\/4 - 81\/2.\nAnswer: -(q + 3)**3*(q + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.914402 months to millennia.\nAnswer: 0.0024095335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrxjjmm. What is prob of sequence zm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/1058 and -19\/1058.\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 - 6*g**2 - 5*g - 3. Let s be m(4). Does 23 divide ((1161\/6)\/s)\/((-4)\/(-72))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 7:16 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*r**3*v**3 + 37*r**3*v**2 + r**3*v + 82*r**2*v**3 - 10*r*v**3 - 2*v**3 wrt r?\nAnswer: 30*v**3 + 222*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -207 + 311. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 843097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:49 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4103 and 21300165?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*j + j. Let g = -3 - -2.99. Let q be 4644\/(-5805)*15\/(-6). What is the second smallest value in j, q, g, 0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -648460 divided by 129692\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 104*w**2 + 781*w - 1241. Determine t(96).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1040\/56 + -19)\/((-10)\/(-210)) - 69\/(-7)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 63 = -13*t. Solve 0 = 7*b - t*b + 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**5 - 18*g**4 + 45*g**3 - 24*g**2 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from yyhyhddwhwthhh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.69 in -0.1, 2\/13, -4, 0.5, -75?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 8*m**2 - 2*m + 6. Let d = -188 + -5. Let l = d - -186. Calculate r(l).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*3\/(12\/58)*-2. Let h = 28 - n. What is the remainder when 42 is divided by (4\/8)\/(h\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w*x**3 - 3960*w*x + w + 385947686*x**2 + 7*x + 8 wrt x?\nAnswer: -12*w*x + 771895372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from yyrxrsrxxywyxxxwwx?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1155894798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.17 in -1\/7, -2, -0.1, 0.021?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 28\/112 - 9\/132\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + (4 - -3))\/((-44)\/4004). Let d(s) = s**3 + s**2 + 7. Let f be d(0). What is the highest common factor of f and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506445?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let v(d) be the second derivative of -2*d**5\/15 + 3*d**2\/2 - 6*d. Let x(w) be the first derivative of v(w). What is z(x(u))?\nAnswer: 128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u - 40. Suppose 9 = 2*m + m. What is the remainder when o(-9) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5133 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20251)\/263 + (62 - -45)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 5. Suppose -5*a = -h - 158. Suppose r - 21 = p, -3*r - a = -4*r - 2*p. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 539880*c**3 + 2*c**2 + 9*c + 1369 wrt c?\nAnswer: 3239280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144479 is divided by 420.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 199716 and 25187.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -157, -478, -1109, -2158, -3733?\nAnswer: -5942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 426562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035926270 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -25. What is the third smallest value in t, 1, 2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 4*d**2 - d + 1. Let j(l) = 5*l. Let g(o) = -9*o. Let f(i) = 4*g(i) + 7*j(i). Let w be f(-2). Determine b(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.208151 rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68377 is divided by 22778?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s - 3. Let u(y) = 1 - y - 1 - 4. Let l(x) = -3*f(x) + 4*u(x). Let k be l(-6). Which is smaller: -1\/3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -13. Let s be ((-4)\/7)\/2 - (-7029)\/77. What is the third derivative of 3*g - s*g**4 + 68*g**4 - u*g**2 - 3*g wrt g?\nAnswer: -552*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 + 2*y**4 - 13*y**4 + (751 - 1679 + 736)*(-58 + 58 + 12*y)*(0*y**3 + 4*y**3 - 3*y**3) to the form a*y + w*y**3 + q*y**2 + d + b*y**4 and give b.\nAnswer: -2316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 4*h - 152, -290*z + 6*h - 12188 = -7*h + 23*h - 8*h for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/sqrt(5)*3 + sqrt(264)\/sqrt(6) + 5*(1 + sqrt(99))*-6)**2.\nAnswer: 5100*sqrt(11) + 80375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 1. Let q be w(-1). Suppose 7*n + 32 = 4. Which is the nearest to q? (a) n (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 31, 516, -5 in decreasing order.\nAnswer: 516, 31, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 14*n - 264. Let l = 142 - n. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-99)\/22*(-1 - (-7)\/21). Factor -3*p + 9\/7 - x*p**2 + 9\/7*p**3.\nAnswer: 3*(p - 3)*(p + 1)*(3*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -12*v + 28*v**2 - 20*v**3 + 7 - 7 + 4*v**4 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4024351, 8048707, 12073063, 16097419, 20121775, 24146131?\n\"Answer: 4024356*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2\/2470163 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/10)\/l*l**(-17))\/(((l*l\/(l*l**(1\/14))*l*l)\/l*l)\/l**15) assuming l is positive.\nAnswer: l**(-211\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7722.904l?\nAnswer: 7722904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -12, 5\/2, -134681?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15646 by 231.\nAnswer: 15646\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4290920 (base 11) to base 3\nAnswer: 112012010121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l - 5. Let q be o(-5). Let y = -15 + q. Calculate the lowest common multiple of 5 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10414707?\nAnswer: 3, 3471569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 4*k + 2. Let s(i) = -1. Let n(t) = m(t) - 3*s(t). Let u be n(5). Solve -4*y + u*y = 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 19*k - 13. Let l be b(-11). Solve -2*n + l = -7*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 257409 and 6?\nAnswer: 514818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 5*q + 6*q - 1035, -2*q = -6*m - 1550. Let u be ((-16)\/1)\/(-5*(-8)\/m). Which is greater: u or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**9\/83160 - j**8\/12320 + 13*j**4\/3 - 5*j. Let h(x) be the third derivative of d(x). Find l such that h(l) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 126 = 2*o. Let v be 3\/((o\/21)\/(-2)). Solve -v*w + 2*w = 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -29\/2. Let f be ((-6)\/24)\/((69\/(-46))\/((-30)\/13)). What is the closest to f in 2\/13, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1616373 - 1631484 = 657*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 33 = -4*s, -s - 2 = 2*a + 3*s. Put -4, a, 6, -2\/19 in descending order.\nAnswer: 6, -2\/19, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b - 37 = -137. Solve -5*w - b = 5*s - 0, -2*w - 4*s = -2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -552 + 567. Let k be (18 - m\/3) + 6. Solve k*n - 10*n - 36 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0*c**3 + 3*c**2 + 1\/30*c**5 + 0*c + 0*c**4 + 0. Let k(q) = -2*q**2 + 3*q**2 - 2*q**2. What is r(k(y))?\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6 + 21 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -14405 (c) 0 (d) 2\/2489 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*a**2*n**2 - 86*a**2 - a*n**2 + 2*a*n - a wrt n?\nAnswer: -38*a**2*n - 2*a*n + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6494 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13638 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 16 = -7*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 2\/41 (c) 8\/7 (d) -1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1. Let l(o) = 1. Let f(g) = -5*l(g) - 3*r(g). Let i(c) = -13*c + 12. Let z(t) = 6*f(t) + i(t). Let a(k) = -2*k. Give z(a(p)).\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1424 (c) -2\/9 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 549\/5490*-5*(-3)\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 390?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 - 17*r + 8. Let g be m(4). Put -3, g, -5 in increasing order.\nAnswer: -5, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -17. Let m(c) be the first derivative of 3 + y*c + 3 - 2*c + 2*c**5. Differentiate m(p) with respect to p.\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.399 and 0.5.\nAnswer: 1.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 6:00 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 70, 87, 104, 121, 138?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 2314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19128344 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -702, -697, -690, -681, -670, -657, -642?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 26*k - 11 to y*k + c and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 2*j - 3*g, -6*g + 8*g = 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60784 divided by 3799?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -8. Let i be 46\/1 - s\/2. Suppose 3*v = 85 + i. Calculate the remainder when v is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**4\/72 - 7*i**3\/18 + 49*i**2\/12 - 29*i. Factor f(s).\nAnswer: (s - 7)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114764 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 19*j**2 + 337*j - 3537. Let u(h) = 9*h**2 + 169*h - 1767. Let d(l) = -7*m(l) + 15*u(l). Factor d(n).\nAnswer: 2*(n - 9)*(n + 97)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 1555 = h + 161, 1716 = -4*j - 5*h. Find the common denominator of -43\/6 and (5\/30)\/(((-12)\/4)\/j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6 = 2*j, -14 = 69*m - 73*m - 3*j. Suppose -5*k + 1898 = m*z, -k - 1171 = -2*z + 751. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*y**3 + 118 + 130 - 248.\nAnswer: 228*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, t: 1, n: 2, s: 3, u: 1}. What is prob of sequence nss?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Let g be 26\/1 + 0\/r. Let k = -14 + g. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 540, 1014, 1468, 1902, 2316, 2710, 3084?\n\"Answer: -10*r**2 + 504*r + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-698)\/(-14) - (-2 + 26\/14). Let v = t + 2. Suppose 5*h = -13 - v. Which is greater: -57\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/26 - 3\/21*-35.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 2*q + 12. Let m = -30 - -34. Suppose -5*z + 6 = 3*l, 3*z + 8 = 2*z + m*l. What is the units digit of u(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 take away 0.7?\nAnswer: -492.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3\/2 + 363*s**2 = 0. What is s?\nAnswer: 0, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 3 + -6 + 4 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i + 11 = -3*u, -2*u = -4*i + 8. Let t be (18\/(-14) + i)*-7. Let p(x) = -x + 2. Calculate p(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = 2*u - 22, -5*u + 10 = -2*d. Let v(r) = 1 + u*r - 2 + 5 - 3*r. What is v(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -23*h + 15. Let n(v) = -8*v + 5. Determine 17*n(g) - 6*x(g).\nAnswer: 2*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 0, w - 2*w - 2*y = -4. Let o(l) be the third derivative of 0*l + 0*l**3 - 4*l**2 + 0 + 0*l**w - 1\/15*l**5. Let t(a) = a. Determine t(o(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -21, -27, -33, -39, -45?\n\"Answer: -6*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 6. Let w be x(6). Let c be 12\/4 + -7 + w. Solve 2*z + 8 = -c*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -240 - -249.9. Let g = j - 10. What is the closest to g in -2\/11, 2\/15, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -11*g**4\/24 - g**3\/2 - 5*g**2. Suppose 43*k - 36*k + 35 = 0. What is the remainder when m(k) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18525?\nAnswer: 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 3*y**2 - 15*y + 27. Let j be v(6). What is the highest common factor of 58 and j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -2595800 to the nearest ten thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 832760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0*s**2 - 9\/4*s**4 + 0 + 0*s**3 + 153*s. Let o(r) = -6*r**2. Determine o(u(m)).\nAnswer: -4374*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -136557 * -6.\nAnswer: 819342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4732*z = -236380 + 37636 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 7521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(800))\/(-1*sqrt(10)*1).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -1, -12, 3 in increasing order.\nAnswer: -12, -1, 3, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*m = -34*m + 68*m - 60 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229.98 + -419.\nAnswer: -189.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 34, 32, 28, 22, 14, 4?\n\"Answer: -n**2 + n + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 13*x + 12. Let p be (30\/(-8))\/((-12)\/64). Suppose 3*u + 4 = -p. Determine g(u).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4074 is divided by 150?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -2\/19, -12, -4, 88, 2\/9 in descending order.\nAnswer: 88, 2\/9, 0.01, -2\/19, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4712091 is divided by 278.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 19, 18, 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - 18*d**2 - 2*d - 13. Suppose t + 22 = -4*q, 4*q - 2 = -2*t - 22. Let u be l(q). What is the third smallest value in -5, 5, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 6.3592.\nAnswer: -0.572328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 q, and 1 t when three letters picked without replacement from rrkyuqyt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.89 - 0.11. Let p = -6.5 + -1.5. Let r = h - p. Sort r, 4, -0.4.\nAnswer: -0.4, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8476 - 8466. Solve -14 = -p*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/15 of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*k - 8*k - 30 = 0, 5*t - 263*k = -265*k + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -375*m - 381. Determine c(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3 = g + 2, g - 5*k = 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -87*b**6 - 37*b**2.\nAnswer: -10440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2128109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342014 is divided by 670734?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71818 divided by -3?\nAnswer: -71818\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 375 and 38175.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*c**3 - 3457072*c**2 - 57458664068*c - 8839712648.\nAnswer: -4*(c + 33241)**2*(13*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117352 is divided by 29331?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18781 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1200*x**3 + 604*x**2 + 3 wrt x.\nAnswer: 7200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -2 (c) -1\/5 (d) 94 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.1 (b) 1 (c) -1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*d - 13. Let u be 2 + (d - 2)\/(-1). Solve 2*h - 26 = 4*p, -p + u*p + 3*h = 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(-116 - 112 + 228 + 32*g**2).\nAnswer: 32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 5307820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -167, -252, -335, -416?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*z**3 + 11*z**3 + 36*z**3)*(-50*z + 30 - 30) + z**4 + 0*z - z + 3*z.\nAnswer: -3049*z**4 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18*((2 - 8) + 1).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + n - 2. Let c = 5 + -2. Suppose -23 = -5*k - c. Is 9 a factor of a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 713617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 17 + -7 + -8 + -8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2020 (base 3) in base 16?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 801 and 11712222?\nAnswer: 11712222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - -0.5. Sort h, -3\/10, 2\/11 in decreasing order.\nAnswer: h, 2\/11, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0 + 0)*(13 - 12 + 2*u - 27).\nAnswer: -4*u**3 + 52*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 5*y + 4. Let g be v(7). Let p = g - -40. Suppose -z = -2*t + 21, 3*z - 67 + 20 = -4*t. What is the remainder when p is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 1.2. Suppose 246 = 4*x + 226. Suppose -5*p - 25 = 3*v, x*v - 17*p + 12*p = 25. Sort f, -0.1, v, 9 in descending order.\nAnswer: 9, f, v, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11965776 by 498574.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a**4 + 19*a**3 - 19*a**3 + (0*a**3 - 2*a**3 - 6*a**3)*(-4*a + 2*a + 0*a - 2*a - 4*a + 3*a + (-1 + 2*a + 1)*(0 + 0 + 1) - 2 - a + 2))*(-2 - 1 + 1).\nAnswer: -78*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49511765 is divided by 35697.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f + 78. What is c(-9)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196221333 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*(1 + sqrt(5)).\nAnswer: 8 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 8 - 3)*(210*p + 190*p - 881*p).\nAnswer: -1924*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4246 - 4246. Let w(l) be the third derivative of 0*l + 11\/120*l**6 + 0 + 0*l**3 - 15*l**2 + 1\/15*l**5 + z*l**4. Find the third derivative of w(v) wrt v.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 + 58. Solve 2*u = 4*u + 3*y - a, 0 = 5*u + 3*y - 20 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 168 - 13?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 10. Let j(v) = -v + 6. Let d be j(-4). What is y(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1096357 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j)**(5\/12) assuming j is positive.\nAnswer: j**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -7 + -161 + 178?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -49*n + 2. Let f(w) be the first derivative of w**4\/12 + 16*w - 50. Let m(v) be the first derivative of f(v). Determine m(i(t)).\nAnswer: 2401*t**2 - 196*t + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -2 + sqrt(99))**2 + 1 + sqrt(11)*-1 + 4.\nAnswer: -25*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 2. Let a = -5 - -7. Suppose a*h - 4 = 4*t, 3*h - 2*t + 22 = -h. Let w be l(h). Solve -3*c - 8 = -4*q + w, -q + 2*c + 1 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/69 and 53\/231.\nAnswer: 5313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -684? (a) -0.05 (b) -2\/5 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u - 209 = -9*u - 559 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -114\/7, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 0. Let v(f) = 7*f + 6. Let r(i) = 13*i + 11. Calculate p*v(x) - 6*r(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-2\/11))**(-9\/4))**(-4\/11) assuming d is positive.\nAnswer: d**(180\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13870197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e463c (base 15) to base 2.\nAnswer: 101101010000100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 42 - 13 = -3*b, 0 = 3*b + k - 35. Solve -b - 12 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 17 - (4 + 2) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5292*n**5 + 132132*n**4 + 112755*n**3 - 243930*n**2 + 32928*n - 1152 = 0.\nAnswer: -24, -2, 1\/14, 8\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -417291 - -666291. Suppose -15*y + 12*y + t = 0. Suppose -3*a = -5*h + 83000, -3*h + y = 2*h - 4*a. Round h to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18 = -s + 6*s, 4*s + 2 = 5*c. Let n = 106\/5 - 21. What is the biggest value in n, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -62809 and -0.239?\nAnswer: 62808.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1074 and (-1018)\/716 + 1050\/700.\nAnswer: 1074","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 6:31 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 2)*(0 + 0 + l**2)*(l - 3*l + l) to the form h*l**3 + n*l**2 + s + r*l and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/33*(-480)\/100?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 828875250.\nAnswer: 2, 3, 5, 7, 52627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6568*n**2 - 6569*n.\nAnswer: -13136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*u - u = -28, 0 = 4*m - 5*u - 55. Let x = 19 + m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -14*k**3 - 14*k**2 + 17*k + 56. Let g(s) = -5*s**3 - 5*s**2 + 6*s + 19. Determine -17*g(w) + 6*z(w).\nAnswer: w**3 + w**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13418, -26697, -39976, -53255, -66534, -79813?\n\"Answer: -13279*k - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 258 and 774?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 185*103.3\nAnswer: 19110.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/1034 and 105\/176.\nAnswer: 8272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 1.329?\nAnswer: -0.6645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + v = 3, 4*l - 2*v = -3*v + 24. Let p(h) = -h**2 - 4 + l*h + 3 - 1. Does 6 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 + 11*w. Let h(t) = -12643*t. Calculate h(a(j)).\nAnswer: -50572*j**2 - 139073*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -15 (b) -0.03 (c) 1\/3 (d) -22 (e) 2 (f) 1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3261 - -3263. Let d = 0.3 - 0.2. What is the third smallest value in f, d, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6744 divided by 2248?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194639, -194636, -194633, -194630?\nAnswer: -194627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 507588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = -32*m + 3120. List the prime factors of m.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 3967581\nAnswer: 3\/1322527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**3 + i + 2. Let z be m(-1). Is z equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 9) to base 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**15\/((m\/m**(-7))\/(m\/(m**(-2\/15)*m))) assuming m is positive.\nAnswer: m**(107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1041, 2115, 3189?\n\"Answer: 1074*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1646, 5 in ascending order.\nAnswer: -3, 5, 1646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 4.6. Let u = -80.4 - y. Let d = u + 72.8. What is d rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p - 11*p + 3*p + 6*p + 2*p**2 + 0*p**2.\nAnswer: 2*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -90268 times -5?\nAnswer: 451340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -26. Suppose -h + u*m - 4*m + 71 = 0, -2*h + 5*m = -139. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -322?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -194, 0.437, -2\/3?\nAnswer: 0.437","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u = 125 - 25 - 16 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213080446.\nAnswer: 2, 37, 16392979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -73 - -317. Let z = 243 - s. Sort 4, 31, z in descending order.\nAnswer: 31, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06080717 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhpsgshsjpphhsjmhsmh. Give prob of picking 1 j, 2 h, and 1 s.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 503390368 a multiple of 4924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*w)*(-w**2 - 5 + 5) + (3882 - 83*w + 180*w - 96*w + 1053)*(7*w - 7*w + 5*w**2) to s*w + m + t*w**2 + h*w**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -2\/13, 40, -139, -1, 5, 45?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*x - 4*l - 11, -x + 5*l + 25 = 0. What is the derivative of h - 2 + 5 + 5*h - x*h wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2853*t**5 - 5*t**2 - 148*t + 1 wrt t.\nAnswer: -171180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(63\/(-400)) + 837\/17577.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/55 and -71\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 7*u + 3. Let v be a(7). Let k be (-2 + 4)*1*291\/6. Let p = -95 + k. Solve p*m - 4*c + 28 = 0, -2*m + v*c - 23 = -0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4579943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 21*m - 22. What is the units digit of c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 7:46 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 156438 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-22)\/o*o)**(6\/19)\/(o**(-16)\/(o\/(o*o\/(o\/(o\/o**14)))*o)))**15 assuming o is positive.\nAnswer: o**(6570\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-2)*(-504)\/(-648)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuuu. What is prob of sequence uuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5 at most as big as 335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29377 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -620 and 9?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/616)\/((-1)\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 17*j**2 - 4*j + 9. Let q(o) = -17*o**2 + 5*o - 13. Let f(v) = 7*g(v) + 6*q(v). Let t be f(5). What is the highest common factor of 120 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 3:45 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 74 in 2, 5.8, 580?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 1489*x - 238994. Give w(183).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -0.4 (c) -9 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c - 3. Let l be g(4). Suppose -5*n + l = 4*d, 3*d + 5*n = n + 19. Solve -d*b - 30 = -10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -38*m. Let o be (48\/42)\/((-2)\/(-14)*2). Let s(r) = 6*r**2 - 11*r + 11. Let b(x) = -2*x**2 + 4*x - 4. Let q(d) = o*s(d) + 11*b(d). Determine q(n(z)).\nAnswer: 2888*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 18 - 30. Let f(z) = 3*z + 3. Determine f(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*q - p, q - 4*p - 96 = -95 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + k = -1, -2*k + 5*k - 4 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, 36\/91, -9\/17, 210?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/13))\/i**(-1\/3)*(i**(1\/2))**(10\/3) assuming i is positive.\nAnswer: i**(37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/250 and -37\/10298750.\nAnswer: 10298750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -11*175\/(-1) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - 44 - -33 - 50 - (13 + 1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*g*i**2 - 3*g*j - 7*g*k - 1323*i**2*j*k - 2*i**2*j + 2*i*j + 4*j wrt k?\nAnswer: -7*g - 1323*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:44 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96527.67mm to kilometers.\nAnswer: 0.09652767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 (base 10) in base 7?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in -2\/3, -789, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12188, -24375, -36562, -48749, -60936, -73123?\n\"Answer: -12187*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/46439 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*h + 23, 3*h + 24 + 111 = 5*o. Calculate the remainder when 131 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5503.01 - -5420. Let g = f - -83. Is -12 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.3, -0.07, 1?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182267?\nAnswer: 19, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 174319 (base 12) in base 16?\nAnswer: 61fc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and -458164 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2649447 + -6?\nAnswer: -2649453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22.19*4.\nAnswer: -88.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (7 - 3) + -3. Let x(v) = v + 7. What are the prime factors of x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x + 5. Let p be d(1). Let l be p\/(-6) - -2*178\/8. Calculate the common denominator of -25\/6 and (-122)\/l - 0 - -2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 22518203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 5*z + 5. Let s be t(-5). Suppose 5*l + s - 10 = 0. Find h, given that -1 + 0 - h**2 - 4*h - h**2 - l = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/33 - 25\/132. Let a = -315.5 + 315.1. Let f be ((-2)\/28)\/(2\/(-8)). What is the closest to s in 5, a, f?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.31645 + 3558.\nAnswer: 3565.31645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6213, 8483, 10751, 13017, 15281?\nAnswer: 17543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72 - -73)*(10\/6 + -2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.033934 kilometers in nanometers?\nAnswer: 2033934000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, c: 4}. What is prob of picking 2 j?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 5 - (9 - 40546). Let m = l + -18074. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1504865 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**13*i*i))**49 assuming i is positive.\nAnswer: i**(-686)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*(-16 - 50).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 110 (b) -11 (c) -1\/6 (d) 2\/27 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + ((-3039)\/(-9))\/((-12828)\/(-3204) - 4)?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 - -135. What is the common denominator of 2\/o*-46*(-3)\/20 and (-1)\/(-3)*279\/30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1940289?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - p)*(-4*p + 4*p + p**3 - 2*p) in the form m*p + z*p**4 + v*p**3 + n + l*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 126*v**2. Let a(z) = -4221*z**2. Let f be (-16)\/18 + (36 - 22724\/(-171)). What is f*l(u) + 5*a(u)?\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 672 by -96.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 p when three letters picked without replacement from gppggpgppgggggpp.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 5*b + 1. Let p = 155 + 31. Suppose 4*x - 10*x = -p. Let q(k) = 6 - x*k - 4 + 22*k + 0 - 2*k**2. What is 3*q(h) - 5*w(h)?\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*m - 3 = -38, 3*m = 5*p + 134. Let u = p - -34. Find the third derivative of -4*s**6 - 4*s**6 - u*s**2 - s**2 wrt s.\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 3*p**2 + 1093*p - 3291. Calculate b(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 409748509 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -4. Let v(f) = 50*f**3 + f**2 + f. Let w be v(1). What is the first derivative of w*i - 52*i - 1 - 6*i**o wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 11, o: 3, j: 1}. Give prob of sequence of.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 - -11b0216?\nAnswer: 11b029b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 + 12*o + 39. Determine b(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -807*d**2. Let w(z) = 44*z**2. Determine w(o(r)).\nAnswer: 28654956*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 9. Let m be ((-9)\/x)\/(3\/(-132)). Is (m\/(-9))\/(6\/45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**6\/3 + x**5 - 311*x**3 - 3*x**2\/2 - 1098*x - 2292. What is the second derivative of j(b) wrt b?\nAnswer: 40*b**3 + 60*b**2 - 1866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.17 (b) 0.4 (c) -1793 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 23 = -39. Suppose 3*o - c*b - 20 = 0, -b + 10 = 5*o - 8. Solve -4*u + 2*t + 15 = t, 0 = -o*u + 3*t + 21 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (242 + 153*m - 242)*(-5 + 3 + 6) in the form d + v*m and give v.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -939744.3 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6b679f (base 16) to base 10\nAnswer: 7038879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*i**2*n**2*p**3 - i**2*n**2 + 2*i**2*n + 1450*i**2*p**3 + i*n**2 + 345*p**2 wrt p.\nAnswer: 36*i**2*n**2 + 8700*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91214.4 weeks to nanoseconds.\nAnswer: 55166469120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9265, 17809, 26355, 34903, 43453, 52005, 60559?\n\"Answer: t**2 + 8541*t + 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1138*m = -1129*m - 27. Suppose -2*f + 3 = 5. Sort f, 6, 2, m in ascending order.\nAnswer: f, 2, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -34, -1\/7, -2, 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 8 - -1) + -10 - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*o - 10*o + 156*o - 396509538 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2474*v**2 + 14832*v + 8. Calculate n(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1824506.\nAnswer: 2, 29, 83, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/((-5460)\/(-72)))\/(16\/(-14) - 0).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4827 is divided by 1609.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - x + 199*x**2 + 668*x**2 + x - 868*x**2 + 0.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10472 - -32358. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8843*x**2 - 20*x + 10. Let q(u) = -1680168*u**2 + 3796*u - 1898. Determine -949*h(i) - 5*q(i).\nAnswer: 8833*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014293 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17651 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 110692356 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 178, 212, 228, 220?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6448*o + 3241*o + 3208*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 334 + 662 - 258.\nAnswer: 3*l**2 + 738","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((0 - -7) + -1) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 569 - 49 = 0. Suppose n + b = o, 3*n + 2*b = 8*n - 480. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-90))\/((-45)\/405))\/(1\/11)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -278\/7 - -40. Which is the biggest value? (a) w (b) 1 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159764.\nAnswer: 2, 11, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 0*y + 2\/9*y**3 - 68 + 22\/3*y**2. Factor l(p).\nAnswer: 2*p*(p + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(2\/15))**12\/(h**(-3)*h\/h**0))**(-40) assuming h is positive.\nAnswer: h**(-976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21157 is divided by 4332.\nAnswer: 3829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9635657 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 times -1013.97?\nAnswer: 39544.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvff. Give prob of picking 2 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -246, -1036, -2634, -5310, -9334, -14976?\nAnswer: -22506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12963560 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 6*j**2 - 5*j - 2. Let o be p(-5). Let w = 0.17 - -2.63. Let x = w - 3. Sort 0.1, o, x.\nAnswer: o, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1044401201042 + -2?\nAnswer: -1044401201044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1003094933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 169200.\nAnswer: 2199600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4 - (-11 + (7 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4838254?\nAnswer: 2, 2419127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 44*u**2 + 29*u + 11. Let h = 36 - 28. Is p(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5170894 - 5170894 - 8529*w - 8244*w in the form m*w + z and give m.\nAnswer: -16773","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1187 - 1171) + 27 + -1.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4.835, 0.2, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740.43714 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 9*f**2 + 9*f - 5. Let n be o(-10). Suppose -n*b + 4 = -1. Let i be b*(-2)\/4 + 1. Is 2 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 287.0326t?\nAnswer: 287032600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29010 - -67a?\nAnswer: 2968a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3))**(-4\/13)\/((k*k**(1\/3))\/(k\/k**(-7))) assuming k is positive.\nAnswer: k**(296\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 641, 5, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730364863.\nAnswer: 109, 149, 106543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201742, -403479, -605226, -806989, -1008774, -1210587?\nAnswer: -1412434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -13 + 10 + (-6 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/((-54)\/45*(-5)\/3). Let j be q\/(-6) + 1 - (-256)\/24. Suppose -9*a - 4 = -j*a. Solve -a*k - k = 2*h - 30, h + 2*k = 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-1)\/2)\/(16495\/79176)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(4) + sqrt(12)\/sqrt(3)*-6)\/(-2*sqrt(162)).\nAnswer: 5*sqrt(2)\/18 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.8. Which is the nearest to -1? (a) o (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*u + 4*u + h, 5*u = -2*h - 5. Let a = 1.2 - 0.9. What is the closest to u in -2, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44368457 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1\/21 + -1\/3. What is the second smallest value in -0.5, c, -4\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10393104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -52.6. Which is the closest to -2\/5? (a) 9 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*c**3*g + 633*c*g**2 - 11988*g**2 with respect to c.\nAnswer: -30*c**2*g + 633*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 478 = -130. Let k = l - -263. Suppose z - k = -2*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 28 = 4*i, -i = -0*i + 2*g + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 17. Let w(q) be the first derivative of 0*q**3 + 0*q**4 + 0*q**2 - 1\/5*q**5 + v - 2*q. What is the derivative of w(m) wrt m?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(-5)*3\/(-4). Let f be (-16)\/(-6) - 2\/n. Let v(z) = z**3 - 2*z**2 - z + 1. Is v(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4780737 and 1885.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 203173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1858?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -16, -21, -24?\n\"Answer: j**2 - 10*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2101211000010 (base 3) to base 12\nAnswer: 516349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 30 = 5*z. Let j be (-20)\/6*9\/z. Solve -5*g - 3 = -2*c - 0*c, -4*c + j*g + 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 - 65. What are the prime factors of f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 233, -79, -5 in ascending order.\nAnswer: -79, -13, -5, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/46*(150\/(-315))\/(1\/(-7)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 6*(sqrt(132)*1 + sqrt(132)) - (sqrt(132) - (sqrt(132) - -1*sqrt(132)*5)))*3)\/(-3*sqrt(1200)*-1 + 4*sqrt(1200)*-2).\nAnswer: 9*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2\/5)\/k))**(4\/9)\/(k*k**(2\/5)*k)**(3\/5) assuming k is positive.\nAnswer: k**(-28\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -11530274?\nAnswer: -11530274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-36))**(-13\/5)\/((n**12*n)\/n**12))**29 assuming n is positive.\nAnswer: n**(13427\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130484, 260972, 391458, 521942, 652424, 782904, 913382?\nAnswer: 1043858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 + 79*n - 515. Calculate m(-32).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 5021.603.\nAnswer: 5021.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjj when three letters picked without replacement from tttijjzqjtjqjz?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 387848 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/21*(-2590)\/5550*-6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 619, 1163, 1703, 2239, 2771, 3299?\nAnswer: 3823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -4. Which is smaller: c or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3063, 3099, 3203, 3411, 3759, 4283, 5019, 6003?\n\"Answer: 6*s**3 - 2*s**2 + 3059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 927175\/(-7 + 281\/40). Round b to the nearest one hundred thousand.\nAnswer: 37100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.642 - -0.938. Let y = t + -0.29600724. Round y to seven dps.\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2001 and 2001?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 544 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*g - 113 = 975. Calculate the remainder when g is divided by (-1 + 2 + 0)*9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131 + -131. Which is bigger: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*k - 1226*k = -11979 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 97.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 4*l)*(-4 - l + 0 + 6).\nAnswer: -3*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 97*u - 93*u. Suppose u*x - 31*x = -12. Let d(l) = l**3 + 4*l**2 - 2*l - 5. Let w be d(x). Put -1, -2, w, -4 in increasing order.\nAnswer: -4, -2, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139677?\nAnswer: 3, 46559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose -10*z = -9*z. Suppose -3*n - n + 28 = z. What is the least common multiple of n and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 212*l**2 + l + 1. Let o be k(1). Suppose -9*g + 11*g - o = 0. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/28084761 and -70\/9?\nAnswer: 28084761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 27*f**3 + 26*f**3 + 3 to the form h*f**2 + z + s*f**3 + j*f and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12763, -22613, -32465, -42319, -52175, -62033, -71893?\n\"Answer: -f**2 - 9847*f - 2915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**3)\/t**(2\/55)*(t\/(((t\/(t\/(t\/((t*t\/t**(-6\/13))\/t)))*t)\/t)\/t*t))\/((t*t**(-1\/3)*t)\/t) assuming t is positive.\nAnswer: t**(10207\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*-1*((-450)\/(-20))\/45?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/8 + 1576*y + 69692105\/8.\nAnswer: -(y - 16765)*(y + 4157)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246939556.\nAnswer: 2, 41, 1505729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 - 14*u - 29. What is the remainder when j(15) is divided by 105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 2 + 3*1. Suppose -3*c + 2*y = -27, -24 = -d*c + 5*y - 4*y. Suppose -5 = 2*m + c. Is m less than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 1, -3 in decreasing order.\nAnswer: 2, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 297714110 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*k = 11, -90*k + 89*k = 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/1 + 33\/11. Let h be 3\/12 + b\/20. Let w(c) = 2*c**2 - 2*c + 2. Let x be w(h). Solve -2*z - t = -x*z - 1, 4*z + 3*t - 19 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by -689254?\nAnswer: -55\/689254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = n - 2*n - 176, n = 0. Calculate the highest common factor of 44 and v.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o - 20. Let w be k(-15). Suppose 0 = -64*l + 66*l - w. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 2:48 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 equal to -0.4548644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 10*c + 19. Let w be i(-9). Suppose 77 = w*r + r. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -3*i**5\/25 + 21*i**4\/5 + 12*i**3 + 837. Factor q(d).\nAnswer: -3*d**2*(d - 30)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 250188 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, w: 2, j: 1, h: 5, b: 1, c: 3}. Give prob of sequence wwb.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 375135*b - 27400842.\nAnswer: 3*(b - 73)*(b + 125118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Convert 0.1026429mg to tonnes.\nAnswer: 0.0000000001026429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1440)\/324)\/(304\/(-8892))?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 285862*n. Let q(m) = -3*m + 2. Determine x(q(z)).\nAnswer: -857586*z + 571724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3246703*m**3 + 3246706*m**3 + 660*m**2 - 660*m**2.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 7*u**2 - 8*u - 7. Let x = 121 - 137. Let n(k) = k**2 + 16*k + 17. Let z be n(x). Let s = z - 22. What is i(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.08, 5, -0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Suppose 0 = 3*g - z. Let u(c) = c - g + 1. Let a(r) = r. Calculate a(u(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oac when three letters picked without replacement from acooamommacaacocoma?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2*j**5\/3 - 17*j**4 + 30*j**3 - 38*j**2\/3 - 88. Solve a(z) = 0.\nAnswer: 0, 2\/5, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 + 2*t**3 - 3*t**3)*(-t + 0 + 0)*(0 - 19 - 8).\nAnswer: 81*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1838*l - 1 = -1837*l, -4*f + 13 = -5*l. Solve 2*a - 3 = v - f*a, -a = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 248 - 224. Suppose 150716 = m*w + 17348. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 13) in base 7?\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2. Let o(x) = -423*x. Determine o(z(s)).\nAnswer: 1269*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n + 3. Let j be -2*3\/(-9)*3. Suppose -j = -2*d + 3*d. What is the tens digit of p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-8)\/80).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j + 1 - 3*j + 5*j + 0*j + 9*j**2. What is the units digit of w(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3*f - 101 = 0, 4*s - 86 = f + 4*f. Let j = -2 + s. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**3 + 9*n**2 + 47720*n - 16522995 wrt n?\nAnswer: -3*n**2 + 18*n + 47720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eb when two letters picked without replacement from ewejwwbwjwjwwwb?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28623 and 99687.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 42*a**2 - 39*a - 113. Calculate the smallest common multiple of 66 and f(-4).\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -148491, -148506, -148541, -148602, -148695, -148826?\n\"Answer: -j**3 - 4*j**2 + 4*j - 148490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -34*d - 2. Let b(f) = 5*f**2 - 40315. Calculate o(b(n)).\nAnswer: -170*n**2 + 1370708","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 85 - 126. Let t = c + 40.999947. What is t rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -35*n - 11. Let p(h) = 53*h + 17. Let j(r) = 5*p(r) + 8*z(r). List the prime factors of j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 8*g**2 + 9*g - 2. Let d be z(9). Let l(h) = 2*h. Let q(r) = 4*r. Let a(o) = d*q(o) + 5*l(o). Let c(s) = -s. Determine a(c(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 6189 and 1894532.\nAnswer: 1900721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/43, 0.08, 2 in decreasing order.\nAnswer: 4, 2, 0.08, -2\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 8*s = 0. Let i be 5\/15*(s - -2). What is the third smallest value in -1, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4602368 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**3\/6 - 13*g**2\/2 + g - 3. Determine o(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-42)\/b)**(-7\/3)*b**(-1\/2)*b**(-32) assuming b is positive.\nAnswer: b**(407\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ededeed.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -1\/14 (c) 1\/2 (d) 2\/9 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 5690 + 5692 - 647*p**2 - 11382 to x*p**2 + k*p**3 + c*p + t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167\/220 + -1\/110. Let d be -3*(-95)\/180 - (-4)\/6. What is t in -d*t**4 + 0*t + 3*t**3 - n*t**2 + 0 = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 112 - 18595*n**2 + 157 + 19*n - 25*n. Let m be q(-21). Round m to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222033 - -201233?\nAnswer: 423310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -115*g + 26089. Determine p(227).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k = 17*k + 123. List the prime factors of k.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1344, 2686, 4028?\n\"Answer: 1342*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311490.\nAnswer: 2, 3, 5, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3))**(-1\/2)\/((i**(-4)*i)\/i**(-2)) assuming i is positive.\nAnswer: i**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 659 - 27 = 0. What is the remainder when h is divided by 52?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a factor of 138545948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*z**3 - 4151*z**2 - 143*z + 409 wrt z?\nAnswer: -36*z - 8302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4. Let l = -39 - -43. Calculate the greatest common factor of l and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77532 and 35308.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 2*u + 1. Let c(y) = -4*y + 1. Let j be c(1). Let t be d(j). Let l(m) = -m**2 - 10*m + 16. Determine l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-88))\/(((-2115)\/10200)\/141)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46732.76 days in seconds?\nAnswer: 4037710464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + t**2 - 7*t + 12. Let o be s(-5). Let x = o - -55. Which is the closest to 0.09? (a) x (b) -3\/5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 8 = -s. Suppose s*t + x + 2*x - 15 = 0, -3*t + 6 = -3*x. Let y be ((-410)\/(-15) - 4) + 2\/3. Solve 7*a - 4*a = -5*h + 8, y = 3*h - t*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 94.0754 litres?\nAnswer: 94075.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271187, 542377, 813563, 1084745, 1355923?\nAnswer: 1627097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -22.7 (c) 104\/97 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 2*n + 13. What is the greatest common divisor of 40 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 1 + 11\/2*a**2 + 1\/3*a**3 + 8*a. Let p be r(-11). Solve 7*w - 3*w + p = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1082*w - 532*w + 1504*w - 21*w to a*w + q and give a.\nAnswer: 2033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 12:30 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13868 - -25550. Is 28 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 9*f - 19. Let q = 40 + -27. What is the units digit of c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*n + 5*y + 1 = 0, -4*y = -20. Let j = n + -17. Put -2, j, 5 in increasing order.\nAnswer: j, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-35)*-1)\/(1\/(-7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hivl when four letters picked without replacement from {v: 2, i: 1, h: 4, l: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 2301533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rndhdddokrdorhndhrkh. Give prob of sequence kk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 44.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6902 = z + 55098. Round z to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99161.\nAnswer: 17, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120602042?\nAnswer: 2, 11, 1549, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-4 - (-20 + 9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((13\/(416\/24))\/6)\/(1\/(-1)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3966, -3968, -3970, -3972, -3974, -3976?\n\"Answer: -2*s - 3964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010320 (base 4) in base 10?\nAnswer: 86328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 6 - 33 + k)*(k**2 - 2*k**2 + 3*k**2) as g*k**2 + y*k + q*k**3 + i and give g.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10879751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/5, 0.68, 13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3817a + -5428?\nAnswer: -425a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 + s - 1. Let d be -2*((1 - 0) + -11). Suppose -6*r = -r - d. Is m(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -32321?\nAnswer: 32322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -700149.4539 to the nearest 10.\nAnswer: -700150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4dd0d (base 15) in base 6?\nAnswer: -5202121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**2 + f - 3. Let p(h) = h**2 + 1. Let s = -36 - -56. Suppose -n - 4*n - s = 0. Let w be (2\/n)\/(3\/6). Determine w*z(d) - 4*p(d).\nAnswer: d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a kilometer in meters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/6*75\/15.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62871258*p**2 + 1462607*p - 16.\nAnswer: -125742516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 11169390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 8*c. Let o(d) = 2*d - 3. Let l(v) = 9*v - 15. Let x(b) = l(b) - 5*o(b). Give x(f(h)).\nAnswer: 3*h**2 + 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -255866.935 from -26031.\nAnswer: 229835.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g - 2609 = 2221. What is the remainder when g is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 0. Let h = -3 - y. Let t be 3 - h - 22\/(-2). Solve -2*g + 4*i = 2*i - 10, -2*g + 3*i = -t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -365\/3 - -122. Factor 2\/3*k + 1\/3*k**2 + a.\nAnswer: (k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 18*d**2 - 6*d + 24. Let o be g(12). Let i be (2 - -2)\/20 + o\/(-15). Let f = i + -48. What is the remainder when 24 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 + -0.69. Let b = s - -1.3. Let d = b - 0.15. Round d to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -10. Sort 4, 0, a in decreasing order.\nAnswer: 4, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**2 + 190*s - 2695 = 0.\nAnswer: -49, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 2:38 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 762 = 532. Let b = -375 - l. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/480*-2)\/(1\/120*5).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3330 and 370.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-80600)\/(-6448))\/((7\/(-2))\/(-7))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3059074 or -3059118?\nAnswer: -3059118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 15*a**2 - 12*a + 66. Let d be k(-16). What is the closest to 5\/3 in d, -19, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 377801617?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 413849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9461636747 to the nearest integer?\nAnswer: 97271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Let l = 2 + c. What is the third biggest value in 5, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 5*s**4\/2 - 7*s - 11. What is the first derivative of v(g) wrt g?\nAnswer: 30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {r: 8, m: 3, o: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*h + 4*b - 67 = 167*h + 25, -5*h - 5*b = -115 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353213 or 353214?\nAnswer: 353213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/2 + 7473*q - 6325515\/2.\nAnswer: -3*(q - 4515)*(q - 467)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m**5\/12 + m**4\/12 + 9*m**3\/2 + 18*m. Let r(w) be the second derivative of y(w). Calculate r(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 23*o + 13. Let c be v(10). Suppose 2*j = -33 + c. Suppose -971 = -3*h + 4*g, 10*g = 4*h + j*g - 1293. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {a: 17, y: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74366346 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 2 - 50*h + 281*h + 0 + 159*h - 7*h.\nAnswer: h**2 + 383*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f + 56*f + 44*f - 145*f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 455 (base 6) to base 3\nAnswer: 20122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -173 + 180. Solve l*h - 27 = 4*h + 3*v, 0 = -5*h - 3*v + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 13*o - 14. Suppose 0 = -o*h + 14 - 24. What is the closest to 0 in 0, 2\/7, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3122, -3136, -3150, -3164, -3178?\n\"Answer: -14*t - 3108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/78 + -24*5842\/25116.\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.331 in 1, -0.2, -1\/2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -17078?\nAnswer: 21\/17078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(5*(1 + sqrt(162)) - sqrt(162) - 1*sqrt(162)*4))**2*-3.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13935709711 to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 95. Let x = 50 - c. What is the third biggest value in x, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2 + (-1 + 2 + 1)*(-2 - 4 - 1))*((0*v**2 + 4*v**2 - 3*v**2)*(-2*v**2 + 3*v**2 + 0*v**2) + 2*v**4 + 0*v**4 - 7*v**4).\nAnswer: 48*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -271 - -2979\/11. Sort 4, a, 0.3 in decreasing order.\nAnswer: 4, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let w be c(-14). Let n = w - 18. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/10400481 and -2\/2407?\nAnswer: 301613949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -1\/36*b**3 - 3*b**2 - 1\/24*b**4 - 1\/90*b**6 + 0 - 1\/30*b**5 + 0*b. Solve n(f) = 0 for f.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*y - 7*y + 40*y to j + m*y and give m.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 11 + -5 - (3 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -104 - -102. Let s(y) = -y + 8. Let a be s(6). Sort a, -1, u in ascending order.\nAnswer: u, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 90514 and -0.5.\nAnswer: -45257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 18130?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 - 2 + 0*o**3 + 2*o - o**3 + 0. Let h be d(-3). Find the common denominator of ((-39)\/(-26))\/((-18)\/h) and -53\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-144)\/(-30))*6)\/(3\/6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -5.3. Let f = k - -4.97. Round f to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299069.0463 rounded to the nearest 1000?\nAnswer: 299000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1191 + -73?\nAnswer: 111b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s**2. Let r be (8 - 11)\/(6\/4). Let k be (1 - 3)*r\/(-4). Let i(h) = 2*h**3 - h**2 - h. Calculate k*u(j) - i(j).\nAnswer: -j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l. Let o(r) = 3*r**3 + 52*r**2 + 111*r + 60. Let c(t) = -10*n(t) + 5*o(t). Factor c(s).\nAnswer: 5*(s + 1)*(s + 15)*(3*s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -516158928 divided by 1488\nAnswer: -346881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -12. Let f(h) = h - 3. Let p be f(6). Suppose -4*b + r = -0*b - p*m, 5*b - 3 = -m. Let x(u) = -2*u**3 + u**2 - 2*u + 1. What is x(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6373 divided by -3.\nAnswer: 6373\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 57*x**2 - 21*x - 7. Let l = 37 + -35. Let h(p) = 19*p**2 - 7*p - 2. Let g(j) = l*t(j) - 7*h(j). Find the second derivative of g(y) wrt y.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 862, -5, -47 in descending order.\nAnswer: 862, 0.3, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 34*w**2 + 107*w + 242. Suppose -4*q + 24 = -2*q. Calculate the lowest common multiple of c(37) and q.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -110*q**2. Let j = 488 - -367. Let w(p) = -j*p + 855*p + p**2. Determine w(n(i)).\nAnswer: 12100*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 137 - 27 = 0. Let c = 25 - w. Find the first derivative of -4*d**3 + d**3 + 0*d**3 + 4*d**c - 9 wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 24*p + 12 = 0. Suppose -5*y + 16 + 4 = 5*x, -x = -2*y - p. Let n = -6 + 20. What is the remainder when n is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(5\/3)*c**(-9\/4) assuming c is positive.\nAnswer: c**(-7\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 12\/(264\/461).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(500))**2 - sqrt(5) - (sqrt(10)\/sqrt(2) + -5).\nAnswer: -2*sqrt(5) + 505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14145 + 11?\nAnswer: 14200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5825 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 6*n - 10. Give k(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let r = 30 - 24. Let m(n) = 175*n + 154*n - 5 - 1 + r. Give m(x(i)).\nAnswer: 329*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**3 + 350*t**2 = 0.\nAnswer: -70, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2299)\/(-297) - 8)\/(3\/18)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -123\/8 < -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 75758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 - 115. Let r = a + 62. Calculate the smallest common multiple of 15 and r.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 0*t**4 + 2\/5*t**5 + 0*t**2 + 5\/3*t**3 + 0*t - 2. What is the third derivative of m(p) wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 380750, 380690, 380620, 380540, 380450?\n\"Answer: -5*f**2 - 45*f + 380800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.18 minus 0.13?\nAnswer: 15.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -797489\/3, -3\/4?\nAnswer: -797489\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0303 (b) 1\/4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (-3 + sqrt(75))**2 + 2)*-2.\nAnswer: -180*sqrt(3) + 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 324*o**4*q**3*z - 5*o**3*q**3*z - 46*o**2*q**3*z + 2*o*q**2 - q**3*z - 3*q**3 wrt o.\nAnswer: 7776*o*q**3*z - 30*q**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5148468, -10296929, -15445390, -20593851?\nAnswer: -25742312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/35003096 and 19\/56.\nAnswer: 245021672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -12 - 6. Suppose 0 = -2*d - h*q + 6, 3*q + 15 = d + 4*d. Suppose 37 = d*v - 17. What is the lowest common multiple of 9 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 7:11 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14986760 to the power of 1\/2, to the nearest integer?\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 482 and 10200807.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 384 (b) -47 (c) 1\/4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1754 - 1063. Let i = -467 + z. Is 32 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17835 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, b: 3}. What is prob of sequence hbh?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.85 - -0.75. Put s, 0.4, -1\/4 in decreasing order.\nAnswer: 0.4, s, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.165 to the nearest integer.\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/10695250 and -101\/17900.\nAnswer: 21390500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*z**2 + 55*z - 30*z + 0*z)*(-2*z + 1 - 1)*(-4*z**2 + 0*z + 0*z).\nAnswer: -144*z**5 + 200*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*s - 23, -s - s - k - 8 = 0. Let a = -5 - s. Suppose a = 4*v - 2*v - 26. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2324\/(-100) - -18)\/(14\/(-5)) and 53\/252.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 976787756 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:44 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*d + 62, -5*v + 0*d - 207 = 3*d. Let s be 0 + v*2\/(-2). List the prime factors of -1 + (s\/3 - 2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**7\/6 - r**6\/120 - 35*r**4\/24 - 60*r**2. Find the second derivative of c(m) wrt m.\nAnswer: -420*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -21423123?\nAnswer: -21423122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3*t**2 + 2*t)*(t - 12*t - 2*t).\nAnswer: 39*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 8:27 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -12338043?\nAnswer: 7\/12338043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 195, -5 in descending order.\nAnswer: 195, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**4 + w**2 + w + 1. Let h(c) = 738*c**4 - 24*c**2 - 24*c + 270. Let o(r) = h(r) + 24*z(r). Differentiate o(n) with respect to n.\nAnswer: 2760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 46*g**2 - 1958*g - 914. Let d be m(73). Suppose 0 = 5*v + 3*h - 4*h + 5, -2*v - h + 5 = 0. Solve 5*o + 2 - 3 = 4*u, v = 5*u + 5*o + d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 9) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17.68717 weeks?\nAnswer: 178286.6736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 100975, 100968, 100961, 100954?\n\"Answer: -7*b + 100982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p - 5 + 9 + 40 = 0. Factor 0*m + 2\/9*m**4 + 0 + 0*m**3 + 8\/9*m**5 + 0*m**p.\nAnswer: 2*m**4*(4*m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*d**4 + 9*d**3 + 213*d wrt d.\nAnswer: 696*d**2 + 54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i. Let r(z) be the third derivative of -z**4\/12 - 20*z**2. Give r(w(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {w: 5, x: 1, j: 5, h: 5, p: 2}?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d - 2*i = -4*d + 68, -36*d - 73*i - 76*i + 144*i + 60 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 11957.\nAnswer: 11953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 136\/(-442) - (-290)\/13. Sort -5, u, -2, 5 in ascending order.\nAnswer: -5, -2, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 + 3*x + 6. What is h(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6709 - -7263. Calculate the remainder when g is divided by 54.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/9)\/c*c**(-12)*c**2\/((c**(2\/27)\/c)\/c) assuming c is positive.\nAnswer: c**(-257\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 17, e: 2}. Give prob of sequence eec.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + -3 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27506 + -14883. What are the prime factors of c?\nAnswer: 13, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002537 rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -32*m - 155. Let n be y(-5). Solve n*q - 7 + 22 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26572887 take away -0.7?\nAnswer: -26572886.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q**3 - 11*q**2 + 6*q + 10. Let a = 12 - 11. Let g(u) = 11*u. Let n be g(a). Let v(w) = 3*w**3 - 2*w**2 + w + 2. Give n*v(j) - 2*i(j).\nAnswer: j**3 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + 2 + -94 + 3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 237673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 c, and 1 f when four letters picked without replacement from ucccgucccgcfuffc.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 96 = -0*m. Let w be (-16)\/88 + (-2 - 4855\/220). Let f = w + m. Which is the biggest value? (a) 4 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80208?\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-25) - (-132)\/10. Let n = x + -9. Let m be n\/14 + 328\/28. Solve b - 5*b - m = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 21022120022?\nAnswer: 21022120020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 0. Suppose 8*l + 20 = 5*n + 3*l, 0 = 3*l - v. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 3. Calculate the remainder when 15 is divided by d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - 327*h**2 + 178*h**2 + 180*h**2.\nAnswer: -3*h**3 + 31*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -1\/7*k**2 + 2\/7 - 1\/7*k = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5156 to 2 dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5728736547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 2:55 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -39200 divided by -22\nAnswer: 19600\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 11 + 1 + -18 + (63 - 14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20501)\/(-1026) + -20 - 17575\/20520.\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/30 and -121\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -170. Solve 0 = t*a - 5*m + 14, 4*a + 8 = -0*a + 5*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068800?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 5*v**2 + 4*v + 3. Suppose 1 = -i - 3*m + 6, 0 = i + 2*m - 2. Let s be f(i). Suppose 2*n - 16 = -4*k, 0 = 2*k - 8. Solve n = -0*l + s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5807 - 3180. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of (-310)\/(-40) - 9 - (-2213)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -722*k - 150*k - 4*k**2 + 74*k - 137*k in the form j*k + g + n*k**2 and give j.\nAnswer: -935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -10, -5, 5 in descending order.\nAnswer: 5, 0, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2822341, 11289380, 25401115, 45157546, 70558673?\nAnswer: 101604496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5728384 and 83?\nAnswer: -475455872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*p = -22, 2*c + 2*p = -c - 2. Suppose 3*o = -4*y + 423, -y - 105 = -c*y - o. Suppose x - 41 = y. Round x to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, -49, 21 in descending order.\nAnswer: 21, 1.9, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -b + 836, -3*w - 5*b - 860 = -6*w. Is 35 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - i = -136, 3*i - 4*i - 2 = 0. Let v = q + -40. Let t = -10 + v. What is the highest common divisor of 38 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 10, -2 in increasing order.\nAnswer: -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 10, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2935, -5868, -8803, -11740, -14679, -17620, -20563?\nAnswer: -23508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19249956 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 18\/5*b**3 + 3\/5*b**4 + 0*b + 0.\nAnswer: 3*b**2*(b + 1)*(b + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7370*i = 7402*i. Let m be 12\/(-8)*(-1 + 0). Factor -b**2 + 0*b - m*b**3 + i*b**4 + 1\/2*b**5 + 0.\nAnswer: b**2*(b - 2)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -33\/2, 0.3, -0.1, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 2955*f.\nAnswer: f*(f - 2955)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 4*t - t)*(-9*t**2 - 9*t**2 + 6*t**2) + t**3 + 0*t**3 + t**3 - 2*t - t**3 + 2*t in the form l*t + b*t**2 + s + r*t**3 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2884497 divided by 4\nAnswer: 2884497\/4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*a = -232*a + 1839600. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -30.991?\nAnswer: -30.991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17813511?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7136663?\nAnswer: 7136663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 22 = -5*a. Suppose a = o - d, -4*d = -o - 0*d + 9. Solve -o*m - 6 = -21 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2681 = -15*l + 18*l - d, 0 = 4*d - 4. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27394 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 3.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3275 and 524.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 + 183 = -5*g. Let s = g + 168. What is the highest common divisor of 120 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 2 + s**2 + 13 - 1 as v + d*s**2 + b*s and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 31*i**2 - 1. Let j(k) = -9420*k. Give j(d(t)).\nAnswer: -292020*t**2 + 9420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -567496 divided by 141874\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 660 and 32?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from lmllc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/135 (b) -6 (c) -11 (d) 3 (e) 0.4 (f) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -539, 0, 5754.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1943\/402 - (-7)\/(-14)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29909 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2539, 5130, 7721, 10312, 12903?\n\"Answer: 2591*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:11 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/25511 and -21\/4?\nAnswer: 102044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j - 20319 = -3*l - 37*j, 3*l = -2*j + 20318. Suppose 3*w - 2*z = l + 57883, 107760 = 5*w - 5*z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.12, 0, -3\/5, 16, -5\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -16\/27, -1\/9, -17, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 3510\/6 + 3. Let t = z + 290. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -9 + -11 + 4 + 4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4449 is divided by 217?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6)*130125\/(-50). Suppose -m - 6283 = -19*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5188 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 0, 6\/5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*u**2\/7 - 48154*u\/7 + 10700\/7.\nAnswer: 2*(u - 2675)*(9*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 24 (b) 3087\/4 (c) -0.11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.6 + -2.4. Let g = z + 17. Which is the closest to 0? (a) -4\/5 (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**22\/v**(-1))\/((v**(-7\/6)\/v)\/(v\/(v*v*v**(-18)))) assuming v is positive.\nAnswer: v**(253\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -472766.46 and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2216 + -3493021?\nAnswer: -3495237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5737 - 1966. Suppose 0 = 6*a - h + 1353. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212002 (base 3) to base 9\nAnswer: -762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2223595000 to the nearest 1000000.\nAnswer: -2224000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of 25*k**7\/42 + k**4\/12 - k**3\/6 - 8*k**2 + 76*k. Find the second derivative of v(d) wrt d.\nAnswer: 500*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515*u - 258*u + 250*u + 22059 = -654*u for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 94*h**2 + 2*h + 1. Is u(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**3 + 2*y**3 - 5*y**3)*(-1 - 1 + 3)*(99*y - 42*y + 58*y) as s*y**2 + l*y**3 + r*y + q*y**4 + d and give q.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 3472117.\nAnswer: -3\/3472117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -30, 12, 5 in ascending order.\nAnswer: -30, -2, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -145000\nAnswer: -14500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o + 28*o - 16*o.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/4*(-12)\/(-9)*24\/252?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 842 + -875 - (-3 + -1 + -3).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -218953.315115973?\nAnswer: 218952.315115973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4.3. Suppose 3 = 3*j - 2*y + 11, -8 = 5*j - 2*y. What is the third smallest value in j, -5\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304\/(-684)*-3*(-9)\/(-6) + 14951?\nAnswer: 19, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, 0.3, -2, -0.1, -1\/377.\nAnswer: -2, -0.1, -1\/377, 0.3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49678495 to the nearest integer?\nAnswer: 7048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.23 - -0.19. Let i = g - -0.04. Let q = -3.222 - -2.222. What is the closest to q in -11, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e13b - 0?\nAnswer: e13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12388, -49922, -112482, -200068, -312680, -450318, -612982?\nAnswer: -800672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u**2 - 4*u - 17. Let w(g) = 10*g**2 - 6*g - 22. Let z(p) = -4*m(p) + 3*w(p). Calculate z(2).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 31. Suppose 3*t + 3*m - 505 - 614 = q, 0 = -3*t + 4*m + 1105. Suppose 3*r - t = -4*r. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from xrxaraarrrrraxrax.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 q when four letters picked without replacement from qqqqqvqqqqvqvqa?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-6))\/((-1)\/3). Let w = g + 9. What is the units digit of 0 + 0 + w + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:21 PM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1 - 3*o)*(19023*o**2 + 215*o**3 - 19023*o**2).\nAnswer: -645*o**4 - 430*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*u + 43*u - 114*u + 9 + 37*u.\nAnswer: 8*u + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183\/1232 + -1\/176. Let p(l) be the second derivative of -8*l**3\/3 - 72*l**2 - 74*l. Let t be p(-9). What is the closest to t in -0.3, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 8. Let a(o) = -1. Let h(w) = 8*a(w) - d(w). Let g(t) = -t**2. Determine g(h(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2932, 5870, 8812, 11758?\nAnswer: 14708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1072, -1131, -1200, -1255, -1272, -1227, -1096, -855?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) 73.686 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -1 - 2. Which is the nearest to -0.2? (a) 4 (b) -1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b. Let f be -1 + 1 + (-4)\/(-4). Let r be t(f). Let i be (-3 + 4\/2)*-1. Sort 5, r, i in ascending order.\nAnswer: i, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1521915903 to the nearest one million.\nAnswer: -1522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -107460 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.22 + -1.204. What is n rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bttxb. What is prob of sequence ttb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1150\/3? (a) -4 (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*-1*(129\/1806)\/(3\/(-36)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -681704012 and -0.2.\nAnswer: -681704012.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 280*l - 3878. Determine b(15).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(27)*-1 + ((3 + (sqrt(3) - sqrt(15)\/sqrt(5)))**2 - sqrt(3)).\nAnswer: -4*sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26067 is divided by 1767?\nAnswer: 1329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28937.898s to hours.\nAnswer: 8.038305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3744) - 3*(sqrt(3744) - 1*sqrt(3744)) - sqrt(3744)) + sqrt(3744))\/(sqrt(12)\/((sqrt(24) - 2*sqrt(24))\/sqrt(4))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u - l - 13, -5*l = 3*u - 10*l + 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-1\/70)*o)**(6\/29)*(((o\/o**(-14\/11))\/o)\/o)\/o**45)**(-2\/61) assuming o is positive.\nAnswer: o**(989586\/681065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(2\/11)*y**(-9\/4)*(y**(-13)\/y)\/(y**(-16)\/y*y) assuming y is positive.\nAnswer: y**(25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzu when three letters picked without replacement from {z: 10, c: 1, u: 6}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c + 33*c + 263 + 313 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 305666373 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(11) + -1)*6.\nAnswer: 18 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -142 in 1\/6, -2\/5, 0.4, 15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 2*n**2. Let p(o) = o**3 - 2*o**2 - 1. Let i(d) = 1. Let s(y) = i(y) + p(y). Let g(m) = 4*b(m) + 3*s(m). Suppose -j + 1 + 1 = 0. What is g(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 12:55 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3092944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 8. Let a = 50734011 + -50734006.0000034. Let z = a - r. Round z to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622213 is divided by 31109?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20936789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 (base 8) in base 15?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**3 + 17*q**2 - 11292*q - 56398. What is t(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 - -5. Let a = -0.9 + d. Let b = a - -0.3. Which is smaller: -3\/5 or b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.55816 + 0.07184. What is the nearest to t in -4\/7, 1\/4, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 9:00 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a hour in seconds?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 at least -9\/677060?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 + 84. Suppose -12 + 34 = h*g. What is the remainder when 49 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*k**3 + 211*k**2 - 103*k**2 - 106*k**2)*(12*k**2 + 26*k**2 - 5*k**2).\nAnswer: -363*k**5 + 66*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6935593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**16*k*k)\/(k\/(k\/(k\/(k*k\/(k**(1\/40)*k)*k)))))\/(k*(k**13*k)\/k)**47)**(3\/19) assuming k is positive.\nAnswer: k**(-76683\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (1 - -2) + 601. Suppose 0 = 3*u - 12, 0*j - x = -5*j + u. What is the remainder when j is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -459 - 228. Let r = -108 + j. Calculate the greatest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 9*a**2 - 9*a - 9. Let l(c) = -c**2 + c + 1. Suppose -3*f - 2*o = -22, 0 = -4*f + 6*f + 3*o - 23. Determine f*x(k) + 36*l(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -291 - -285.92. Let t = c - -0.08. What is the nearest to -1\/2 in t, -2\/7, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (2*sqrt(200) + sqrt(200) - sqrt(200)) - sqrt(200))*6*-3)**2.\nAnswer: 64800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 315\/(-14)*(-3 + -2 + 1). Let r be u\/40*128\/6. Calculate the highest common divisor of r and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**3 - a**2 - 3. Let j(s) = -s**3 - 2*s**2 + s - 2. Let t(m) = -3*j(m) + 2*z(m). Let w be t(2). Suppose 0 = w*g - 4 - 22. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*r**3 + 10*r - r**3 + 3*r - 13*r - 374*r**2 + r as a*r + w + u*r**2 + q*r**3 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {g: 6, u: 7, z: 4}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/10*(-2 + 4). Solve -s*c - 6 = 4*f - 24, -5*f + c + 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 447, 502, 579, 678, 799?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 1235856.\nAnswer: 23\/617928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/44 + (-656)\/22. Let v be ((-56)\/l)\/(12\/(-10)). Let a = -8\/9 - v. What is the closest to 0 in a, 4, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10)*x**(-2\/5))**33\/((x**(1\/2))**(-3\/10)*(x\/x**(-2))\/x*x**(-4)) assuming x is positive.\nAnswer: x**(-6821\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2024\/1104*(-18)\/44.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**2 - 7*u**2 - 3*u**2 - 8*u**2.\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8394559163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1198843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8602373 litres to millilitres.\nAnswer: 860.2373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -5*v + 24*v - 50 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/9 - (-8240)\/(-360). Let i be (-4)\/(-5)*(-130)\/(-4). Let r = l + i. Solve 0 = r*x, -y + 4*x = -4*y - 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*a + a - 18, -10 = 5*i. Let m(r) = r**3 + 5*r**2 + 3*r + 2. Let s be m(a). Suppose -s*y + 7*y = 0. Solve x + 2*x + 9 = y for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (624\/(-2704))\/(2\/(-182))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 756186191*t**4 - 348293*t**2 + t - 55 wrt t?\nAnswer: 18148468584*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 275d (base 15) to base 7\nAnswer: 33346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -271 or -26360\/97?\nAnswer: -271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**4\/6 - 17*i**3\/6 + 7*i**2 - 3784*i. Calculate n(12).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 810*n**2 + 5\/3*n**3 + 0 + 2425\/3*n = 0. Calculate n.\nAnswer: -485, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/5 - 2189175474*u\/5 - 399374104663593723\/5.\nAnswer: -3*(u + 364862579)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2170.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2457 + -7356?\nAnswer: -12035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 82 = 26*r. Solve 2*s + 14*s = r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a974 (base 11) to base 7.\nAnswer: 150621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 4*h**2 + 4*h - 4. Let i be y(-5). Let x be 0\/((-2)\/(-2 - -4)). Suppose -4*n + i + 3 = x. Calculate the smallest common multiple of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -659760, -1319522, -1979284, -2639046, -3298808, -3958570?\nAnswer: -4618332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, k: 3, n: 4, f: 3, c: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 186580589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 28*x = -60. Suppose s + 1 - 6 = 0. Solve s*r = r + x for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190099 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/3 and -31\/115881636.\nAnswer: 115881636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -29\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 13 + 77*p + 5 + 4)*(-229*p**3 + 37*p**4 + 229*p**3)*(1 - 1 + 4).\nAnswer: 11396*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 2\/21, -0.1, 2, 76, -5?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490.6937 litres in millilitres?\nAnswer: 490693.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*u - 812041, 3*h - u - 296989 = 190244. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 90\/54)*1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(4)*1))\/(-6*sqrt(600)).\nAnswer: -sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.1 + -24. Let w = 2.95 - -0.05. Which is the second biggest value? (a) 5 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4357 - -4377. Let k = -2 + 1. Let d be (-8 + 2)*k - 2. Solve d*a + 0 = v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -0.5. Suppose -m - r - 38 = 0, -7*m + 4*r - 208 = -2*m. Let y be (4 - 1) + 96\/m. Which is the nearest to 5? (a) y (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 15 + 93 = 0. Let r = 31 - z. Solve -4*f = -r*a - 19, f - 7 = -2*a + 4*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t - 33 = -2 + 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155502267?\nAnswer: 3, 2411, 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -3\/85 (c) -1805 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 9*q + 10. Let t be n(5). Let l be (t\/(-25))\/((-1)\/(-15)). Solve 3*i - 5*i = l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7786 - 7.7786. What is the fifth smallest value in 0.006, -5, k, -4, -1?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -58. What are the prime factors of x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -105? (a) 0.1 (b) -2\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 - 8*r**2 + 0*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 249 = 13*a, y = -1159*a + 1160*a + 18 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*d + 2*d - 132 = 0, 2*d = 0. Let u = q + 46. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11739 is divided by 968.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 22 - 2. Suppose -5*y - 4*h = -583, x*y + 0*y = -4*h + 468. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118287961.53 rounded to the nearest ten thousand?\nAnswer: -118290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 158410 and 226300.\nAnswer: 1584100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 13) to base 11.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4143031 + 1?\nAnswer: 4143032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25652 + 634?\nAnswer: 26386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -11*l + 8*l + 27, -5*m + 5*l - 10 = 0. Solve -m = 5*n - 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141396223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -4*m**2 - 25*m + 23. What is r(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, t: 2, m: 6, z: 1, k: 7}. What is prob of picking 1 g and 1 t?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -116?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3\/10 + 3*h**2\/5 - 6*h\/5 + 4\/5 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11737 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: Suppose -l = l - 10. What is the common denominator of 57\/4 and (87\/8)\/(l\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.275 + 0.\nAnswer: -5.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 188 = 4*l + 30, 2*o - 3*l = 83. What is the nearest to 3 in o, 5, -0.4, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10751?\nAnswer: 13, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 17. Solve -4*r - 4 - p = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145155 divided by -29031.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 47980878.4 rounded to the nearest 1000?\nAnswer: 47981000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806217 is divided by 556?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose 0*q = -a*q + 3*z + 17, -5*q + 4*z + 25 = 0. Let w(y) = 4*y**2 + 2 + y**2 - 6*y - 4*y**2. Let g(r) = r. What is q*w(b) + 5*g(b)?\nAnswer: b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/3)*a\/(a*a**(1\/4)))**(-5)\/((a\/(a\/(a**(-1\/4)\/a)))\/(a\/(a*a*((((a**6*a*a)\/a)\/a)\/a)\/a))*(a*a**(-2\/5))**(-2\/9)) assuming a is positive.\nAnswer: a**(179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/774 and -79\/7740.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 55649159 rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 103, 261, 487, 781?\n\"Answer: 34*v**2 - 12*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3071211 and 2.\nAnswer: 6142422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**3 - 18*h**2 - 2*h - 32. Let f(v) = 8*v**3 + 53*v**2 + 7*v + 95. Let g(j) = 11*a(j) + 4*f(j). What is the units digit of g(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a micrometer in nanometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 2*x + 12. Let c be p(3). Solve -c*l = -7*l, 4*k = 4*l + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k + 2. Let o(t) = -t**2 + 6*t + 1. Let b be 4\/(-4 + 2) - -8. Let h be o(b). Let g = h - 1. Calculate f(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.444 - -195.444. Let r = d + -195.2. What is the nearest to r in -17, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 15*v**2 + 5 + 3*v + 0 - 17*v**2 - v**3 + 2. Calculate the remainder when 27 is divided by j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1481.5 > -3818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -152*p**2. Let o(j) = -3 + 3 - 57*j + 30*j + 29*j. What is o(w(s))?\nAnswer: -304*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 25. Let d = 38 - q. Suppose -b + 45 = d. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 9:57 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 0 + 12*y**2 + 0 - 15*y**2. Let m(w) = 6*w**2. Give q(m(s)).\nAnswer: -108*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*q**3 + 37 - 19 + q + 2*q**2 + 10*q**4 - 18 to z + t*q**2 + s*q + h*q**4 + i*q**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 7, h: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5324))\/(2*sqrt(12)\/sqrt(3)).\nAnswer: -11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47894, 47905, 47930, 47969, 48022, 48089?\nAnswer: 48170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15a - -a678?\nAnswer: a519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**4\/12 - q**3 - 3*q**2\/2 + 4*q. Calculate m(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-315) - ((6 - 0) + -1 + -5).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 30?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 255*i**2 - 11*i + 382. Let t(c) = 51*c**2 - 2*c + 76. Let x(y) = -11*t(y) + 2*z(y). Differentiate x(n) wrt n.\nAnswer: -102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/40 and -107\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/159 and 75\/2.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 24. Let j = 23 - 22. What is the nearest to -1\/4 in 3, j, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 636 and 56?\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19869.3 - -18816. Let p = 1121 + y. Let n = p - 71. What is n rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 44 = -23*c + 131. Let r(g) = g**3 - 4*g**2 - 2*g - 7. What is the least common multiple of c and r(5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -13255?\nAnswer: 13257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 98*w**2 + 85*w**2 + 302*w**2 - 3*w + 7*w.\nAnswer: 289*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 790634 and 11?\nAnswer: 8696974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1362720 and 56780?\nAnswer: 1362720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 0 - -1*1. Let f(n) = n**3 - 6*n**2 - 6*n - 7. Let l be f(7). Suppose l = s - g*s + 48. What is the remainder when s is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1107 and 831234.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2130029078 - 34821.\nAnswer: -34821.2130029078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-2)\/(-2) - -3. Let t = 0 - m. Let j be 1\/t - 9\/6. Let v(k) = -k**3 - 2*k**2 + 2. Give v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(-4)*h*h**(-12)*(h\/(h*h\/(h\/h**4))*h*h)\/h**(-5\/2) assuming h is positive.\nAnswer: h**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 912220.\nAnswer: 1824440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -8 + 2*j**2 - 3340*j - 7 + 3329*j. Let z be y(7). Solve 6 = z*c + 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.46061 to three decimal places.\nAnswer: -0.461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -211326216 + 8?\nAnswer: -211326207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 3*d + 3 + d + 49 - 49 + 5*d + 0 + 0 - 2*d + 0*d + 3*d - 2*d - d + 0*d + 3*d + (-d - 2*d + 4*d)*(3 + 0 - 2).\nAnswer: 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7204 or -1273?\nAnswer: -1273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*p + 424 = -161, 2*p - 586 = -3*h. Let j = h + -282. Let d = 86 + j. Solve 14 - 2 = g + 3*k, -3*g - 3*k + 6 = d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d + 1. Suppose 4*j - 10*j = -12. What is c(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(-1 + 2\/4). Suppose 85 = h + 4*w + 13, -99 = -h + q*w. Does 14 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 21*j**2 + 21*j - 17. Let o be d(20). Suppose 5*v + o*t - 449 = 2*t, -4*t = -5*v + 429. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 12 = 2169*w - 2165*w, -w + 43 = 5*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -11194.\nAnswer: 22388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6638*s + 6223 + 57809 = -6614*s. What is the remainder when s is divided by 40?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 + 66. Let r(o) be the first derivative of 2 - 2\/25*o**5 + h*o + 2\/15*o**3 + 1\/10*o**4 - 1\/5*o**2. Suppose r(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 32, -3390, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008259 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 e, and 1 w when four letters picked without replacement from wwlleeelewlelgxw.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**2\/4 + 869*w\/2 - 755161\/4 = 0?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -8*l + 1. Let u = -24 + 36. Suppose u*k + 28 = 5*k. Is n(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, -18, -167, -478, -1005, -1802, -2923, -4422?\nAnswer: -6353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -16*w - 64*w - 6*w + 984 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2765418893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -0.14.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**7\/35 - 5*o**3\/3 + 10*o**2. What is the first derivative of g(i) wrt i?\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*x - 66*x = -986436. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = r + 13, 0 = 4*r - 2*s + 22. Let h(z) = -221*z - 16. Is h(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -2. Let s = -4 + i. Let j = s - -0.6. Put j, 2\/7, -2\/7 in descending order.\nAnswer: 2\/7, -2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2. Let o(z) = 0*z**2 - z**2 - 2*z**2. Determine o(v(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + -7. Let x = -28 - o. What is the hundreds digit of x\/22 + (-1)\/((-11)\/1509)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/603348 and 29\/24222?\nAnswer: 6636828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -250\/43 <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 127654, 127635, 127616, 127597, 127578?\n\"Answer: -19*g + 127673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2 + (-4 + 1 + 2)*(0 - 1 + 3) + 2 + 2 - 5 - 4 + 3 + 3 + 1 + 0 - 2 + 2 + 0 + 7)*(2*z - 2*z - 2*z).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 1. Let o be j(-2). Let f(k) = -k**3 + 4*k**2 + 8*k - 3. Give f(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*o - 24*o - 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 2712600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -1.4303?\nAnswer: -8.5818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4937 - 4932. Find z, given that -6\/7*z**4 + 3\/7*z**u - 24\/7*z**3 + 48\/7*z - 96\/7 + 48\/7*z**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 9:30 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_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: Which is the second smallest value? (a) 0.05 (b) 7 (c) 0.4 (d) -0.2 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*v - 175, 3*z - z + 68 = 2*v. Calculate the greatest common divisor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.145377 at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u, -a + u = -3*u - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d (base 14) to base 15.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99807?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1146167*w - 8023175. Give z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 17 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 7*u**2 - 18*u - 81. Give r(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -147 (c) 988\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 9*u + 3. Let i be f(9). Let d = i + 0. Suppose -5*y + 10*y - 45 = 0. Calculate the smallest common multiple of d and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + u + 0*u - 20 = 0, 3*u + 12 = 3*l. Suppose -5*q - 2 = -l*r - 14, 4*q = 4*r + 12. Solve 0*m + k + 5 = -m, q = 2*m + k + 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080175 a multiple of 319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -1. Let t(z) = -z**3 - 18*z**2 - 34*z - 32. Let u be t(-16). Suppose u = -65*p + 60*p + 30. Let m(k) = -2*k**2 - k - 6. Give p*c(d) - m(d).\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 3. Suppose -5*m = -b + 25, b + 2 + 3 = -o*m. Suppose 2*a - b = 950. What is a rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27866833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 - 2*j**2 + j. Give h(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 7*a. Let l(q) = -13*q**2 - 2*q - 13. Let j(h) = 174*h**2 + 27*h + 171. Let d(y) = -2*j(y) - 27*l(y). Give m(d(g)).\nAnswer: 21*g**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(-4*d**4 - d**4 + d**4) + 5*d**4 + 9*d**4 + 0*d**4 in the form q*d**4 + f + a*d**3 + w*d**2 + t*d and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(9)*2) - 6*(sqrt(12))**2 - (sqrt(75) + -6*(sqrt(75) + 1))**2.\nAnswer: -1983 - 599*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3539519 nanometers in kilometers?\nAnswer: 0.0000000000003539519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/12 and -67\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/2)\/((-1392)\/4756*-41).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -451*p. Let u(i) = -47*i**2 - 2*i. Calculate j(u(w)).\nAnswer: 21197*w**2 + 902*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/5)*q\/(q*q*q\/q**(-1\/21))*(q*q*q\/q**(-13)*q*q)\/(q**(12\/11)\/q) assuming q is positive.\nAnswer: q**(19013\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 149*v + 456. Let u be x(-3). Let f(p) = p + 10. Let k be f(0). Suppose k - 28 = -u*o. Solve -5*r + 9 = o*d, 9 = -0*d + 3*d + 3*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780135.1 years in millennia?\nAnswer: 780.1351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/t**(-2\/9)))\/(t\/t**(1\/7)*t))\/(t\/(t*t*t\/(t**6\/t)*t)*t*t**(4\/7)))**45 assuming t is positive.\nAnswer: t**(-1780\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 531407203*b + 531407203*b. Let j(m) = 55*m. What is x(j(r))?\nAnswer: 3025*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3313*t**3 - 19*t + 19*t - 2997*t**3.\nAnswer: -6310*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*b**2 - 20082*b - 10112094 = 0 for b.\nAnswer: -6219\/20, 813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**3 - 7*m + 93. Let k(z) = 3*z**3 - 3*z + 47. Give -2*i(t) + 5*k(t).\nAnswer: t**3 - t + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o. Let n(s) = 10 - 68*s + 39*s + 27*s. Give n(m(y)).\nAnswer: -2*y + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**7\/210 + 257*b**6\/40 - 1963*b**5\/60 + 1345*b**2. Find the third derivative of d(z) wrt z.\nAnswer: -24*z + 4626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 5*n + 2*n**2 - 11*n + 1 - 2*n**4 - 3*n + 9*n - 14*n**3 to s*n**4 + x*n + f*n**2 + z*n**3 + o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*r**3 + 2*r**3 - 30*r**3 + 26*r**3.\nAnswer: 311*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 37*f**2 + 38*f + 4. Let o be x(-38). Solve 10 = -i - 5*h, -i - i - 2*h = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54153 and 20891571.\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 258\/10 - (22\/(-310) + (-172)\/1333)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, t: 10}. Give prob of sequence ttss.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -277 + 102. Let w = b - -175.174. Let o = -0.174079 + w. Round o to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**3 - 5643*l**2 + 32*l. Let o(k) = -10*k**3 - 5644*k**2 + 36*k. Calculate 8*o(u) - 9*p(u).\nAnswer: u**3 + 5635*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**30)\/((f*f**(5\/6)*f)\/f) assuming f is positive.\nAnswer: f**(-185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-20)\/6) + -93*1\/9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 6. Let y be w(-4). Let a = 133 - 61. Suppose 2*v - a = -y*v. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97.81 - -33. Let r = v + -0.19. Let g = 65.00000033 + r. What is g rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:03 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/8 - (-2)\/(-4). Let c(u) = -u**3 + 5*u**2 - u - 3. Is c(b) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f**3 - 3*f**2 + 27*f + 56. Let b be t(-7). What is the highest common divisor of 462 and b?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 5. Let n be (l + 0)*(-2)\/(-6). Which is the closest to 2? (a) n (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1167*c**2. Let t(q) = 74499*q**2. Give s(t(b)).\nAnswer: -6476967868167*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c + 340363 - 10*c - 340363.\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/9)*h*h*(h\/((h\/(h*(h**1\/h)\/h))\/h))\/h)\/(h**1)**31)\/(h\/(h\/(h**(-4)\/h))*h*h*h\/h**(-3\/7)*(h**(-1))**(1\/40)) assuming h is positive.\nAnswer: h**(-69617\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 133.4103 hours?\nAnswer: 8004.618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 6) in base 3?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114 - -9 - ((3 - 5) + -67 + 53)) + 1?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 37 = 5. Let p = -13 + k. Let i(c) = 3*c**3 + 15*c**2. Let s(g) = 2*g**2 + g**2 - 4*g**2. Give p*i(t) + 15*s(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + -4*((5*2*sqrt(468))**2 + sqrt(52)\/(sqrt(144)\/sqrt(4))).\nAnswer: -187207 - 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -17485*p + 87469. Give n(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 < 96344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -323, -299, -251, -167, -35?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2681*h = -2677*h - 24 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of i**5\/10 + 47*i**4\/12 + 1856*i**2 - 4357*i. Differentiate g(b) wrt b.\nAnswer: 6*b**2 + 94*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 1:17 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*k**2 + 1110*k + 744.\nAnswer: -3*(k - 124)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49710.48nm in centimeters?\nAnswer: 0.004971048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsssscqecssbfs. What is prob of sequence se?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2825 and 1101637.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 13 = c, -4*x + 28 = -c + 5*c. Let n(u) be the third derivative of -u**5\/60 + 5*u**4\/24 - u**3\/2 - u**2. Give n(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 7*d + 16. Let i(x) = -3*x - 9544. Give i(l(g)).\nAnswer: -21*g - 9592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 41668539 to the power of 1\/2, to the nearest integer?\nAnswer: 6455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujuujjzswjjujqus. What is prob of picking 1 q, 2 j, and 1 s?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-12) + 4\/(-6). Suppose 4*c + 28 = g, 0 = -c + x*c. Calculate the remainder when g is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 7*g**2 - 10*g - 11. Let y be p(-8). Suppose -27492 + 6197 = -y*t. Suppose -6*x = -x - o - 5302, -t = -4*x - 5*o. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(48)*1 + sqrt(3)) + -3 + 1 + sqrt(363)*2.\nAnswer: 1 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3 = 0, 3*m + n - 31 = 10. Let p(u) = 2*u**2 - 18*u - 2. What is the units digit of p(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 44058839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 33 = -i. Suppose i*s + 5*h - 71 = 0, -5*h + 76 = 4*s - 3*h. Solve -4*k = 2*c - 12, -1 = 4*k + c - s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aleeazlaaaaz. Give prob of picking 1 e and 2 a.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 6, 35, 82, 153, 254?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 780030 by 5.\nAnswer: 156006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0411214 to three dps.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -630087 by -4533.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -181 - -185. Let w(m) = -m - 3. Let q(b) = 2*b - 4 - 7*b + 4*b. What is s*w(f) - 3*q(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 469848 and 201?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 379, -48657 in descending order.\nAnswer: 379, -5, -48657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60.1 - 60.2. Which is the closest to v? (a) -0.172 (b) 2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*r + 16 - 2, -5*l = -5*r + 5. Let h(u) be the third derivative of 0 + 1\/30*u**5 - 2\/3*u**3 - 10*u**l + 0*u + 0*u**4. Differentiate h(m) wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25 and -2035544.\nAnswer: 50888600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = 5*n, m - 3*n + n = -20. Let s = m + 15. Is -1 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 6*t + 3. Let b be n(-5). Suppose -6*v = -b*v + 178. Suppose 2*p - p = v. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f - 12*f + 16 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3573*l - 1752*l**3 - 7920*l**3 + 3573*l.\nAnswer: -9672*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*a**6 - 3*a**5 + 121*a**2?\nAnswer: -1560*a**3 - 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 202*r**5 - 1879 - 2*r**2 - 1873 + 3752 + 196*r wrt r?\nAnswer: 12120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309012947?\nAnswer: 309012947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -2523?\nAnswer: 2516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/51 (b) 2 (c) -0.06 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -0.0268, -7965, 0.3?\nAnswer: -7965","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 726249?\nAnswer: 3, 242083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(1 + -3 + 3). Let w = u + -5. Suppose w*s = 2*s. Solve s = 2*m - 2*k + k - 8, -4*m + 4*k + 16 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 189\/(-27) - (0 + 289). Let l = c + 375. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + v + 235 = 0, 3*v + 139 = 2*z - 330. Does 37 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -12. Let s(j) = -3*j - 17. Let l be s(y). Solve f + l = 3*q, 4*f - 3*f + 2 = q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181747?\nAnswer: 17, 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 39, 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 18*r**2 - 5*r - 6. Let i be -14 + 28\/(-4) + 3. Does 12 divide j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.07 * -2.\nAnswer: -4.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**5\/30 + 1223*g**2 - 4*g. Let x(a) = 12726*a**2. Calculate y(x(s)).\nAnswer: -323902152*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*q = -10*q - 360. Calculate the smallest common multiple of (-12)\/30 - q\/(-5) and 836\/171 - (-2)\/18 - -17.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79 - -81. What is the closest to -0.1 in -0.15, -1\/4, j?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4719835529 and 4.\nAnswer: -4719835525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -7. Suppose 16 = 13*o - 29*o. Let s be (4\/3)\/(o\/30*5). Is s smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -359, -895, -1601, -2477, -3523?\nAnswer: -4739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8 = -4*j, j - 3*u - 2 = -0*j. Suppose 3*p - 44 = j*p. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 3 - 5*h - h**2 + 2*h + 0*h - 2*h**3. What are the prime factors of f(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97999 divided by 8909\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140908980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 - 1)*(-244*j + 202*j - 103*j)*(6 - 6 + 6*j**2) as t*j**3 + y*j**2 + b*j + q and give t.\nAnswer: 3480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196 and 7451626.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeppztgzvevgtze. What is prob of picking 1 p, 2 v, and 1 e?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330 - 150. Let j(s) = -38*s + 20. Let h be j(-2). Let r = o - h. What is the remainder when r is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 20. Solve 4*s - j = 8*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -47. Let p = -2 + t. Suppose 0 = -3*v + 8 + p. Calculate the highest common divisor of 27 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74300248 to the nearest integer?\nAnswer: 8620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 447366781*f**3*h**3 - 92*f**3 - 2573*f*h**2 + 2*h**3 + 128*h**2 wrt h?\nAnswer: 2684200686*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3226 + 3223 = 175*h + 674 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 9068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 73*i + 175. Is l(33) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1346 - 823. List the prime factors of m.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 385876*w**2 - 1543501*w\/2 + 385875.\nAnswer: -(w - 771750)*(w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**4\/8 + g**3 - 3*g**2. Calculate the remainder when f(8) is divided by (-44)\/64*-4*(1 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10 + 195811\/19579). Is -1866 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i. Let o(b) = -4*b + 5*b + 1 + 6*b. Let f = 13 + -17. Let a(w) = f*y(w) + 3*o(w). What is the first derivative of a(v) wrt v?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*((sqrt(130) - (sqrt(130) + 1*sqrt(130))) + sqrt(130)))\/(((sqrt(250) + sqrt(250)*2 - sqrt(250)) + sqrt(250) - sqrt(250)) + sqrt(250)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 47. Let s = -81 - -110. Calculate the remainder when 198 is divided by p(s).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 14*m - 5*x - 20 = 0, -4 = -x. Solve m*b - 12 = 16*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j**2 - 25*j**2 + 54*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 67 - 252*g - 34 + 227*g.\nAnswer: -25*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 499584.24 seconds to hours.\nAnswer: 138.7734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 18*t - 16. List the prime factors of a(-7).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29577431 a multiple of 531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 1 t when three letters picked without replacement from uppauptpattpt?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 3. Let f(w) be the second derivative of w**2\/2 + 5*w. Let l(c) = 2*d(c) - 6*f(c). Let t(b) = -b**2. What is t(l(n))?\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3 + 0 - 3*u**2 - u**3 - 1. What are the prime factors of p(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 + 29*a**3 - 10*a**2 + 4*a**2.\nAnswer: 29*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (7 - (7 + -5 + 0)) + 70?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59521315 is divided by 6326?\nAnswer: 6307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -8*s + 2. Let p be i(-4). Let t = p - 10. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 p when four letters picked without replacement from {p: 5, b: 7}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 131, 98, 65, 26, -25, -94, -187, -310?\n\"Answer: -n**3 + 6*n**2 - 44*n + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*v + 9*v**3 + 32*v + 25*v - 14*v**3 - 146*v + 11*v.\nAnswer: -5*v**3 - 201*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2566*c + 2576*c - 5142*c + 2622*c**3 + 5889*c**3.\nAnswer: 8511*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + (6 - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -41*c**3 + 1739*c - 4812\/7*c**2 - 2738\/7 - 4\/7*c**4 = 0.\nAnswer: -37, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -34*l**2 - 15. Let g(a) = -11*a**2 - 5. Let w(u) = 7*g(u) - 2*i(u). Differentiate w(q) with respect to q.\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.35609 - -0.21279. Let m = -0.0433 - k. Which is the nearest to 1? (a) m (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/224 and -1\/102.\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -5, 30\/13, -2, -9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454332 (base 6) in base 3?\nAnswer: 11022220202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-73)\/(-6) - (22\/(-12) + 2). Let t be 75\/4 - l\/(-48). Let j(m) = 7*m**2 + 19*m**2 - 8*m**2 + t*m**2. Let i(a) = -a. Determine j(i(s)).\nAnswer: 37*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4 = 1. Let y = d + 1. Let z be y\/((-2)\/(-4 + 3)). Solve z = 5*q - h + 2*h - 10, -23 = 2*q - 5*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 times -14.426\nAnswer: 66.3596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 1, q: 1, u: 5, h: 1, z: 6}. Give prob of sequence gqu.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*r = -3*b + 139, 22 = 3*r + 4*b + 35 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 + 43)*2\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506*k - 510*k - 4 = 0, 3*k + 3 = 2*o. Let g = 10 + -6. Solve o*v + g = -4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**3 + 2*n**2 + 3*n - 5. Let u(i) = 9*i**3 - 5*i**2 - 6*i + 9. Determine 2*u(j) + 5*y(j).\nAnswer: -2*j**3 + 3*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*l + 600. Is l a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168998826?\nAnswer: 2, 3, 28166471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let w be (-8)\/(3 - 5) + 0. Let v(i) = -34*i**2 - 7 + 2*i + 36*i**2 + 2 + 2. Let r(k) = -k**2 - 2*k + 2. Determine w*r(m) + 3*v(m).\nAnswer: 2*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 - 6*s + 5. Let u be 28\/(-98) + (-60)\/(-14). Determine l(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**2 - 4*l - 2. What is v(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 19*b + 1. Suppose -12 = j - 8. What is the remainder when j + ((-1079)\/26)\/((-2)\/4) is divided by p(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*f - 0*x + 4*x, -4*f + 5*x - 22 = 0. Let h be 4 + ((-108)\/f)\/(-3). Which is the closest to h? (a) -2 (b) 2 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4702\/14115 - -1\/4705. What is the closest to -583\/2 in 0, 4, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, 4, -3 in decreasing order.\nAnswer: 90, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4613\/150 - -185\/6. Let j = x - -257\/225. Let p = j - 8\/9. Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5 - 2 + 2*h**2 - 3*h + 1. Suppose z - 7 = -4*k, 10*z = 5*z - 25. What is the units digit of m(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*m - 1692 = 7002. Calculate the greatest common divisor of m and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536 - 538 = 170*s - 1532 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - 2*sqrt(117))*-1)\/(sqrt(9) + (sqrt(36) - sqrt(2916)) + sqrt(36)).\nAnswer: -sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/5)\/v*v\/v**3*(v*v**(-5)*v)\/(v**(3\/4)*v)*(v**(2\/5)\/(v\/v**(-2\/9)))\/(v**0)**(-8\/11) assuming v is positive.\nAnswer: v**(-1507\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 21770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(3975\/(-20)))\/(4\/6)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -0.9. Let k = 0.1 - h. Let w = 15 + -14. Which is greater: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 22. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3921011854 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9 = -3. Let l be (-601 + 1)\/(-3) + j. Suppose 3*n = h + l, -4*n = -0*h - 3*h - 271. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 0.96, 4 in descending order.\nAnswer: 4, 0.96, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 9. Suppose -5*h - 2*a = -62, 0 = 2*h - a - 6 - 26. Suppose 0 = 5*s + 21 + h. Let k(g) = -g + 4. Determine s*k(f) + 3*z(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*1401473.29\nAnswer: -4204419.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c**2 - 13*c + 12. What is t(-10)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2395 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 - w. Let f be b(2). Let k = f - -5. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 38\/(-8) - -3 - (-1)\/(-4). Let s be l + -3 + 1 + 38. Let a = s + -24. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 3*o**2 + 4. Let x be u(2). Let v = -8 + 13. Suppose -4*s - v*b = -x*s - 43, 0 = 5*s - 4*b - 105. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/32004 and 19\/60452?\nAnswer: 544068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101011111100000001 - 10010111?\nAnswer: 1110101011111001101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -16*y**2 + 6*y + 6. Let f(o) = 10*o**2 - 4*o**2 + 4 - 10*o**2 - 7*o**2 + 4*o. Give -7*f(x) + 5*v(x).\nAnswer: -3*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(11\/(-4) - -4). Suppose 0 = 5*s + l - 15. Factor 2*b**2 + 0*b**2 - 16 - 4*b**s - 10*b - 2*b.\nAnswer: -2*(b + 2)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26485 or -97.98?\nAnswer: -97.98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.1 (b) 0.5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1*sqrt(242)*6)**2 + (sqrt(162)*1*-2)**2.\nAnswer: 9359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -93808961*p**2 + 143*p + 286.\nAnswer: -187617922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u - 72 = 256 - 18 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 5) to base 9.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1032536*v**2 - 309837.\nAnswer: -2065072*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4139*d**5 + 2*d + 475 wrt d?\nAnswer: 82780*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 487.07 + -495.0798. Let q = s - -8. What is q rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10971ed (base 15) to base 11\nAnswer: -6778393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1813 - 19896\/11. Let w(c) = 2*c**2 + 16*c + 16. Let v be w(-6). Find the common denominator of r and (2\/v - 0) + 57\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 66 = l, -40 = -10*q + 8*q + 4*l. Suppose -43*d = -39*d - q. Let a(y) = -21*y + 2. Let u be a(-2). What is the greatest common divisor of u and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/8568 and 65\/36?\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (5\/(-840)*-3)\/((-16)\/1824) + -2 and 65\/346?\nAnswer: 4844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8472 + -9.56973?\nAnswer: 8462.43027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -29e3?\nAnswer: -29e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, 1\/4, 0.5, -0.9, 0.1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-16)*w**(8\/7))**(-7\/6) assuming w is positive.\nAnswer: w**(52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -5*i**2 - 9*i + 12. Let f be s(-8). Let y = f - -236. Solve y = -3*r + 12, -r + 12 = n + 3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**5 - 134*o**4 - o**2 + 1451 wrt o?\nAnswer: -60*o**2 - 3216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**3\/2 + 31*y**2\/2 - y. Let h be -4 + 60\/14 + (-4200)\/(-392). Give x(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 179158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = h - 18, 0 = -h - 2*y + 3*y. Suppose 4*x + 4*r = 0, -5*r - 11 = h*x - 3. What is the second derivative of 0 + 0 + 7*k**x - 5*k + 0*k wrt k?\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13*t**2 - 19*t + 12. Let x(z) = -35*z**2 + 56*z - 35. Let v(a) = 8*s(a) + 3*x(a). Calculate v(19).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let i(g) = 14*g - 3. Give i(j(o)).\nAnswer: 14*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 325?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -32*q + 11. Is y(-4) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.353 - -0.153. Which is the third smallest value? (a) 2\/7 (b) 0.5 (c) -2\/3 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 - 0.51. Let z = -12.5 + 13.5. Sort z, p, 4, 0.5.\nAnswer: p, 0.5, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tol when three letters picked without replacement from {h: 5, o: 4, t: 2, l: 1, a: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 4*a**2 + a. Let z(h) = -h**3 - 4*h**2 - h + 1. Let o = -12 - -7. Let j(b) = o*u(b) - 4*z(b). Determine j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1496394 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/119)\/(((-169)\/13)\/(-91))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 78 and 186 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p + 4. Let v be i(-4). Let m = v + 23. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -186. Let p = 30.7 - 117.2. Let q = y - p. Round q to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37386?\nAnswer: 2, 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-14)\/343*-21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 19293927 + 23*m**2 + 19293927.\nAnswer: -3*m**3 + 23*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b**3 - 160*b**2 - 2*b + 16. What is l(16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 17*l + 10. Let b be j(15). Let y = b - -327. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 156. Let x be ((-29)\/232)\/((-1)\/(-6)) - 375\/(-20). Calculate the highest common divisor of m and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 345 - 380 - (-1 + -1 + 4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 6 = -9*r. Let f be 15*(3\/(-18)*r + -3). Which is bigger: f or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 48, 4, -5, -1 in descending order.\nAnswer: 48, 6, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*f**4 - 1\/2*f**3 + 2*f + 12 - 5*f**2 = 0 for f.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/45 - (-20)\/(-36)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 6:57 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 50*d**2 - 1. Calculate the remainder when 191 is divided by v(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/35)\/((18\/14)\/(-3)). What is the nearest to -3 in 2\/13, f, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 687 or 681?\nAnswer: 681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/11)\/(q**(-1)\/q))**33\/(q**6*q**(-6)*q**5*q**(1\/4)) assuming q is positive.\nAnswer: q**(219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-9))\/(2\/9). Let x = 12486 - 12487. Let y = -0.92 - 0.08. Which is the closest to y? (a) v (b) -2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131110612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 6:16 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 3 - 1 + 7*i - 2*i.\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(68)\/sqrt(2) + sqrt(408)\/(-2*sqrt(12))))\/((-4*(sqrt(24) + sqrt(24)*2))\/(sqrt(972)*1 - sqrt(972) - sqrt(972))).\nAnswer: -27*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 3*z, 19*t - 4*z + 46 = 33*t - 19*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 1)*(-115 - -112). Sort 3, v, 12 in ascending order.\nAnswer: v, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708597163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 27748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s. Let p(u) be the third derivative of -u**4\/24 - 13*u**2. Determine p(g(w)).\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -978*k**4*n**3 + 17*k**4*n**2 - 1594*k**2 - 17*k*n**3 wrt k?\nAnswer: -23472*k*n**3 + 408*k*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 119819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(209)\/(sqrt(44)\/sqrt(4)) + 5 + -4*sqrt(19))**2.\nAnswer: -30*sqrt(19) + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 169107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3190 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -372.033 rounded to the nearest 10?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2052)*-6)\/(sqrt(27)\/(-2*sqrt(9)) - sqrt(3)).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14882783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10200320 - 202?\nAnswer: -10201122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(468) + sqrt(468) - sqrt(468))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = a, 5*a - 2*u = -5*u + 25. Suppose a*d = -0*d + 6. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 14*a**2 - 5*a + 4. Let o be x(-14). Let v = o + -43. Is v a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 7*f**2 + 8*f - 2. What is z(-6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 9. Let a(c) = c + 5. Let v be 2\/((-2)\/15)*-1. Suppose n - 2*k = 3, -k + v = -6*k. What is n*s(p) - 5*a(p)?\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 37.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/1045*-57)\/(6\/21*-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 x when four letters picked without replacement from {u: 4, x: 3, z: 6}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -5, -2, -46, 5 in decreasing order.\nAnswer: 5, 0, -1, -2, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 4*i**5 + 3*i**5 + (2*i + 0 + 0)*(i - i - 2*i**4) + 3 - i**5 - 3 - 21*i**5 - 94 + 94.\nAnswer: -28*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 323729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -110 - (-19 + 32 - 89)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.01 - -0.01. Let g = m - -3.9. Let u be 10\/(-7) + (3 - 1). Which is the nearest to g? (a) 1\/4 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23492*f**4 + 2*f**2 - 7208*f - 1 wrt f.\nAnswer: -563808*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/10)*c**(-1\/3))\/(c**(-7)\/(c*c\/((c*c\/c**0)\/c)*c))*(c**4\/c**(-1))\/(c**(2\/3)\/c)**(12\/17) assuming c is positive.\nAnswer: c**(7141\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -9413 and -9413 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495 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: What is 0.8951863 kilometers in micrometers?\nAnswer: 895186300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 30*u + 156000 = 0. What is u rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 197 (b) -4 (c) -153 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2816 divided by -873.\nAnswer: 2816\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2779, 48, 199 in ascending order.\nAnswer: 48, 199, 2779","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100001110011101001101 - 1111?\nAnswer: -1100001110011101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9020 and 7380?\nAnswer: 81180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133867302\/13 or 1?\nAnswer: 133867302\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 2. Let c be h(3). Let d = 3 + c. Let r be (-16)\/56 + d\/7. Solve 5*a - 2*l + r = 1, -3*l + 2 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.51 + -0.25.\nAnswer: 13.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/3*(27 - 24). Suppose -b*d + 51 = -d. Let h = 77 - 50. What is the remainder when d is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7096, -28228, -63168, -111688, -173560, -248556, -336448, -437008?\nAnswer: -550008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 39.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*n - 4668, 9*d + 4*n = 7*d + 3088. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r - 31. Suppose 0 = -5*b + 5*x + 34 + r, -5*b + 53 = x. Find the second derivative of -27*p + 9*p**4 - p**4 + b*p + 10*p wrt p.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6962394 by 54822.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, l: 1, n: 2, s: 6}. What is prob of sequence srsr?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-3)\/(12\/(-56)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**5\/60 - i**4\/12 - i**3 + 3*i**2. What is the units digit of d(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 34*c - 180. What are the prime factors of 75\/c*13\/(325\/30)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 47.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -518.99 + 514. Let m = j + -0.01. Let r = 9 + -9.2. What is the nearest to -1\/2 in r, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -817*d + 21457 - 684 = -27*d - 557 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 18 = -28*b + 51, 0*m + 11*b - 31 = m + 44 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -2117*k**8\/168 - k**5\/20 + 112*k**3 + 3339*k**2. Find the third derivative of s(g) wrt g.\nAnswer: -254040*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-6\/17)\/i*i)\/i)\/i**(-22)*(i**(1\/7))**(-3\/5) assuming i is positive.\nAnswer: i**(13424\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -405, -816, -1227?\nAnswer: -1638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 - -3. Let j = 418067\/3 + -139355. What is the second biggest value in j, l, -4\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 5*a - 19. Suppose -2*b - 27 = -5*o - b, a = o - 5*b. Suppose -3*j = o*y + 13, -4*j + 4*y = -8*j - 12. Is 2.5 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3467310 by 55.\nAnswer: 63042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -1094, -1638, -2170, -2684, -3174?\nAnswer: -3634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3582135 divided by 115\nAnswer: -31149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -41622671 to the nearest 10000.\nAnswer: -41620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2291.4 - 2291. Which is the nearest to 0.3? (a) 167 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9060173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/16 + 13*p**3\/12 - 5*p**2 + 9*p - 274. Suppose y(w) = 0. Calculate w.\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 + -41?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1101010110 (base 2) to base 8\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1999*l + 1983*l + 196 + 28 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*3*-3 - (sqrt(66) + sqrt(66) + -6*-1*sqrt(66)))\/(sqrt(24)*1*5*1))**2*2.\nAnswer: 22\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**2*m*t**2 + 179*i**2*m*t + 2*i*m*t + i*t**2 - 56*m*t wrt i.\nAnswer: 6*m*t**2 + 358*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2323*d. Let o(h) = -3*h**2 + 60*h. What is o(x(p))?\nAnswer: -16188987*p**2 - 139380*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 + 7*s**5 - 4*s**3 - 2*s**5 - 3*s**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/216)\/(2\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-164)\/9594)\/(1 + 30\/(-27)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 1800000 = -10*q. Round q to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/20735 + -265753\/39417235. Let q = 92947\/13869696 + i. Let s = 206117\/36480 + q. Calculate the common denominator of 43\/2 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, 5, 553, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2 + 2. Suppose -11 = -4*s + 5*s + r, r = -4*s - 38. Let a(w) = -w**2 - 1. What is s*a(c) - 4*y(c)?\nAnswer: c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.76665 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2)*(-30)\/35. Let o be ((-30)\/(-525))\/((-1)\/5). Sort -4, o, q in increasing order.\nAnswer: -4, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i - i)*(9*i**4 + 8*i**2 - 8*i**2).\nAnswer: -27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -639*o**5 + 697*o.\nAnswer: -12780*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -2, -2\/3, -5\/19, -68?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -4075?\nAnswer: -4081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112557 is divided by 112511.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25, -59, -107, -163, -221, -275, -319?\n\"Answer: z**3 - 13*z**2 - 2*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwad when four letters picked without replacement from {z: 1, d: 1, r: 1, a: 1, w: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = 2*j - 2*t + 17, -2 = 2*j + 2*t. Let b(m) = 2*m + 4*m**2 - 5*m**2 + 2*m**2 - 3. Is b(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/8 and 43\/10424092.\nAnswer: 20848184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-9))\/(-4 + (-294)\/(-72)))\/((-24)\/(-144)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)*n**(2\/75) assuming n is positive.\nAnswer: n**(-73\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (-6 + 15) - (-9 + 2 + (9 - 6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 711.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 1\/5, -0.01, 3\/4, 0.1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1 + 0*h + 2*h. Let i be (-3)\/((-12)\/(-14)) + (-3)\/6. Let o(j) = -3*j - 3. Calculate i*v(b) - o(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.59 - -0.79. Let m be 16\/10*(-4)\/(-16). What is the biggest value in a, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - c + 7*c - 2*c)*(-5 - 5 + 1) + 2*c - 4*c - c to the form y*c + a and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 34 = -2*a, -5*t - 3*a - 12 = 33. Let z(g) = -2*g - 8. Give z(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**3 + 9*z**2 - 9*z. What is the tens digit of q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/172 and 44\/215.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -80\/2285459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*j = -41*j - 12. Let n(f) = -4*f**2 - 3*f - 1. Let k(q) = 3*q**2 + 2*q + 1. Calculate j*n(z) - 5*k(z).\nAnswer: z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 18. Let l = 6 - h. List the prime factors of 2\/l + 31\/3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.154 to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -295634*p*z**5 + 3*p*z**3 + 862*p*z + 22*z - 43 wrt z.\nAnswer: -5912680*p*z**3 + 18*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166 a factor of 62384036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34750717 - 4.\nAnswer: -34750721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -312125, -310325, -308525, -306725, -304925?\n\"Answer: 1800*a - 313925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95*k**2*y**2 - 90*k**2*y - 14*k**2 - 6*k*y**2 wrt y.\nAnswer: -190*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026578 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, z: 2, l: 7, w: 3, u: 4}. Give prob of sequence zzl.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 - 54. Sort o, -3, -2, 1 in increasing order.\nAnswer: -3, -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 2*c**2 + c - 5. Calculate the remainder when s(-5) is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = 9*v - 162. Suppose -4*o - 4*u = -1732, v*o - o + u - 2153 = 0. List the prime factors of o.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 9. Let d be o(7). Suppose d*t - 3*s + 4 = 73, -3*s = -3*t + 111. Suppose j + 4*v = -4*j + 53, -3*j + v = -t. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 - -2) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12636)\/(-432)*(-12)\/(-9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 228760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1646 + 905 + 5*c + 834 to u + r*c and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 11210*z - 2690. Is 7 a factor of n(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 0.096.\nAnswer: -0.0768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 - 21. Calculate the smallest common multiple of 12\/(-27) - (-1)\/((-63)\/(-280)) and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29545911, 29545918, 29545925?\nAnswer: 29545932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16017, 33864, 51711?\n\"Answer: 17847*w - 1830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -9*p**3 + 8*p**2 + 3*p - 14. Let r(n) = -6*n**3 + 5*n**2 + 2*n - 9. Let m = 99 - 104. Calculate m*h(i) + 8*r(i).\nAnswer: -3*i**3 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3535.51, 2\/7, 0.3 in ascending order.\nAnswer: -3535.51, 2\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 - 121*b + 86. Calculate v(-41).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6*(-5 - 1). Suppose z*q + 10 = 6*q. Suppose -3 = -k + 4*u + 18, q*u - 5 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2862 in 11, 5, -0.22, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 26, 45, 78, 131, 210, 321, 470?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 632901.2 micrometers to meters.\nAnswer: 0.6329012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47929 is divided by 122.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**5\/20 - v**4\/2 + 2*v**3\/3 - 3*v**2\/2 - 6*v. Determine a(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69407.719 rounded to the nearest 10?\nAnswer: 69410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -28. Suppose -5*r + c = 3. Let h(w) be the second derivative of w**2\/2 + 12*w. Let x(y) = y - 2. Determine r*h(k) + x(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 11:44 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 5:58 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6568080 to the power of 1\/2, to the nearest integer?\nAnswer: 2563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:37 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0\/5)\/((-9)\/3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**3*p*t**2 + f**3*p*t - 2*f**3*p - 3*f**3*t**3 - 13*p*t**2 - 99*p*t wrt t.\nAnswer: -2*f**3*p - 18*f**3*t - 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 4883*w + 440750. Determine s(-92).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 7 - 2*p**3 + 7*p**3 - 4*p**3 + 3. Let r be (0 + -5)\/(5\/(-3)). Determine o(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40 or 1346\/33?\nAnswer: 1346\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 + 5)*(-1)\/(-3). Let i be -4 - (-2 + 6)*1395\/(-12). Suppose j*d = i - 56. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, c: 1, e: 2, r: 3}. Give prob of sequence rgr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -d + 13. Suppose -2*x + 22 = 5*b, 4*x - 47 = -d*b - 3. Suppose i = -p + 5, i - x = -2*p - 2. Calculate the smallest common multiple of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.211922 to three decimal places.\nAnswer: 0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 20\/15*1\/2\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*z + 1021, -z - z - 200 = -l. List the prime factors of l.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u + 3374 + 316 = 158*u for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + (7 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4826*m - 4848*m - 4823*m - 4819*m + 24131*m - 4819*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 2 (c) 0.016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631636 divided by -125?\nAnswer: -631636\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2131 - -781. What is n rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 6*d - 3*d**3)*(-2*d**2 + 4*d - 4*d) - d**4 + 2*d**5 + d**4 + (d - 2*d + 3*d)*(-383 + 383 + 214*d**4).\nAnswer: 436*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/7 - 1642078*u\/7 - 674105039521\/7.\nAnswer: -(u + 821039)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r. Let c(n) be the first derivative of 40*n**3\/3 + 32. What is f(c(q))?\nAnswer: 40*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 170758585 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {x: 3, v: 2, g: 3, s: 3, f: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 276 (b) 5 (c) 6 (d) 1\/69\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**(6\/11))*z)**(-37) assuming z is positive.\nAnswer: z**(-1036\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*z - 25*z - 6*z**3 - 2*z**3 - 5*z**3 + 5*z**3 + (z**2 - 1 + 1)*(z + 4 - 4) + 10*z**3 + 3*z**3 - 4*z**3 + (2*z - 2*z + z**2)*(-3 + 3 + 2*z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-112)\/(-140))\/(728\/20)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6727\/3 - -2217. Let y = -645 - -1379\/2. Calculate the common denominator of y and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2994\/11, 5, 142\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4934 + 2666 = 8*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5149512 to the power of 1\/2, to the nearest integer?\nAnswer: 2269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -1. Let h(a) be the second derivative of 1\/6*a**4 + 0 - 12*a + 2\/5*a**5 + 1\/2*a**2 - 1\/3*a**3. What is h(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 11) to base 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5 + 190*k**4 + 210*k**3 - 560*k**2 - 965*k - 390 = 0 for k.\nAnswer: -1, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by 5377?\nAnswer: -117\/5377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 8*c + 2. Let z be s(7). Suppose -h - z = 5*g, 0*g + 2*h = -3*g - 4. Let i be (1 + g)\/(0 + (-3)\/(-9)). Let a(u) = 9*u + 3. What is a(i)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/(2\/6). Suppose 6 + 8 = 2*u. Suppose 0 = 2*n + 10, 0*f = -4*f - 3*n - u. Which is smaller: j or f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*u, 5*u - 4 = 2*c - 15. Suppose -c*h + 5*p + 244 = 0, 0*h + 322 = 4*h - 5*p. Solve -h*n - 9 = -75*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -106*o**2 - 202*o + 52. Calculate i(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3164*d**3 - 14503*d**2 - 285833*d - 9?\nAnswer: 18984*d - 29006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -18.3. Let w = 0.2 - o. Let f = 0.3 - 1.3. What is the closest to f in -4, -1\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -214. Let c = p - -150. Solve 5*i - 3*l = 10, c = -i + 3*l - 9 - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 561190178 and 37624?\nAnswer: 9406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6345, -7681, -9899, -12993, -16957, -21785?\nAnswer: -27471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11506 + 2*u - 23569 + 11574.\nAnswer: 2*u - 489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2306*w - 1382. What is the smallest common multiple of t(-1) and 20?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/a**(2\/3))*a)\/a)**(-23\/3))**2 assuming a is positive.\nAnswer: a**(-230\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10609199 is divided by 600.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**2 + 0*j**2 - 2*j**2)*(21*j + 16 + 12 - 25) as p*j + h*j**3 + t*j**2 + w and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.06 - 0.06. Suppose 0 = 6*x - x. Let d be x*1\/3 + 5. What is the closest to -0.1 in u, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 12 + 2*s + 0)*(2*s + 2 - 2).\nAnswer: 4*s**2 + 64*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9269 + 74245\/8. Let m(h) = h**2 - 21*h + 39. Let t be m(18). What is the common denominator of t\/((-66)\/(-9) + -2) and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/408 in -2\/5, 3\/4, 75?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-9) - 56\/9. Let r be 1*-3 + (-30)\/b*1. What are the prime factors of r\/(1*(1 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -961, -1050, -1137, -1222, -1305, -1386, -1465?\n\"Answer: l**2 - 92*l - 870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**4\/6 - l**3\/3 - 56*l**2 + 2356*l. Factor p(m).\nAnswer: 2*(m - 8)*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by 6834?\nAnswer: 1\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -5 + 1 + 4. Suppose 0 = -q*v + 4*s - s - 201, -3*v - 200 = -2*s. Let k = 90 + v. What is the remainder when 91 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*w - 3144 = -45*w. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 21973108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/7)\/(((-12)\/330)\/((-1246)\/(-445)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/((-14008240)\/1000580 + 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 15. Let f be n(13). Let l be -2 + 829\/7 - 12\/f. What is the greatest common factor of 29 and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(45) - sqrt(5))*-5 + -4.\nAnswer: -5*sqrt(7)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/63 of a week?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.053314102 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -25*v**2 - 3*v - 6. What is l(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*q - 63*q - 49 = 0. Let t(x) = -2*x + 7. Determine t(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14546834 from -1016853.\nAnswer: -15563687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvrreeereveerveevee. Give prob of picking 1 r and 1 e.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + (-32 + 22 - (-1 + 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8594*s**4 + 185 + 10*s**3 + 419*s**2 - 10*s**3 + 4*s - 187 wrt s?\nAnswer: -206256*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = 86*s, 403 = 3*o - 5*s + 390 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -31 (b) 7922 (c) -6 (d) -0.3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -1\/40 (c) -2 (d) -17.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 726 and 22.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23189627 by 1.\nAnswer: 23189627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*s - 20, 3*s - 5 = 7. Suppose -z + t = 4*z. Let p = 7870 - 39347\/5. Is z >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (160\/3)\/(52\/78). Calculate the highest common divisor of 320 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54062516 by 2.\nAnswer: -27031258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -542051, -542046, -542041, -542036, -542031, -542026?\nAnswer: -542021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-6 - -2) + 3). Solve 0 = 3*k - b + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51.51 - 5.49. Let r = w + 56.8. What is the smallest value in -6\/7, 5, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 16. Let d be m\/4 + (-393)\/(-2). Let t be 12*(3\/(-6) - -2). What is the greatest common divisor of d and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 2*z)*(-5*z + z - 2*z) + (2*z + 0 + 0)*(0*z + z + 0*z) - z + z + 2*z**2 + 6*z**2 - 2*z**2 + 2*z**2 to the form j*z**2 + v*z + l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 16 = -9*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1202 and 236405.41.\nAnswer: 237607.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -733.11 + 733. Let j = w + -4.89. What is the third smallest value in 5, j, 5\/6, 1\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*w**3 - 289*w**3 - 369*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 4, -4, 10.9, 3 in descending order.\nAnswer: 10.9, 4, 3, 1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 4, y: 5, m: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3979, 6242, 8505, 10768, 13031, 15294?\nAnswer: 17557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.601, 4, 0.5, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -10*k - 116. Let w be b(-12). Solve -2*o = 2*o + 5*y - 18, w*o + 2 = 5*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-256)\/(-24))\/16 - (-6)\/(-9). Which is bigger: 23\/18 or t?\nAnswer: 23\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 71\nAnswer: 4\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 497*w**6\/24 - 11*w**4\/3 - w**3\/2 + 1216*w**2. What is the second derivative of o(z) wrt z?\nAnswer: 14910*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4081123 + 16?\nAnswer: -4081108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3 + 2 - 4 - 126*r as b*r + p and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**4 + 64246*u**3 - u - 1420633?\nAnswer: 8*u**3 + 192738*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6981 in -5, -1, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-15 + -13 - -6 - 13)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(91)*-6)\/(1*5*sqrt(7)))**2.\nAnswer: 1872\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3873, -3867, -3849, -3813, -3753, -3663, -3537?\nAnswer: -3369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*1*(-71)\/426.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3560000 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 5:05 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 1034*r**2 + 1374185*r - 1329 = 0.\nAnswer: -1329, 1\/1034","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 64*s + 15. Let d(x) = 33*x + 7. Give -9*d(u) + 4*h(u).\nAnswer: -41*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 - 4 = 0. Let h be (-1440)\/(-104) + l\/13. Solve 0 = 4*m - h - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 12868 = 5*v, 5*v + 26*b + 12872 = 27*b. List the prime factors of v\/(-10) - 6*7\/(-70).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6638 = -4*v, 3*v - 223*n - 4998 = -222*n. Calculate the remainder when v is divided by 151.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106351 - -106350. Let t = -52\/5 + 10. Which is the nearest to 2\/3? (a) n (b) t (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**9\/3024 - f**8\/1680 - 5*f**3\/6 - 3*f**2. Let j(y) be the first derivative of k(y). Factor j(d).\nAnswer: -d**4*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1343*p*z**2 - 41273*p*z + 2*z**2 wrt z?\nAnswer: 2686*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -47\/522 (b) -3 (c) -3\/5 (d) -2 (e) -1 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 776698, 1553408, 2330106, 3106786, 3883442?\n\"Answer: -h**3 + 776717*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -40\/5477?\nAnswer: -40\/5477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1960638 take away -3243?\nAnswer: -1957395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:35 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in ninety-five halves of a kilogram?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + 5*t**3 + 4*t**3)*(2*t**2 + 0 + 0).\nAnswer: 22*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/7)\/16*(-1)\/2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.23 times -0.2?\nAnswer: -0.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 548189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 - 6*a**3 - 48*a**3.\nAnswer: -46*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiii. What is prob of sequence iii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - 8. Give n(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.46472 litres to millilitres.\nAnswer: 60464.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*y - 2 = 0, -3*y - 20 = -2*r - 6. Let k be (2 - r)*(-6)\/4. Suppose 6*q + k*q - 36 = 0. Solve 5*x - 6 = -2*i - 4, -2*i = -q*x - 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + l + l + 16, 2*l = 4*t - 22. Let j(b) = b**3 + 7*b**2 + 6*b. Let h be j(-5). Let i be h\/(-6)*6\/(-4). Solve -i*z + t = -2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 10*g**2. Let t be d(10). Let r be (1\/2 - 0)*t. Suppose r = 6*a - 3*a - 117. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/3 - 136*h**2\/3 + 1664*h\/3 - 1408.\nAnswer: -4*(h - 6)*(h - 4)*(h + 44)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 + 6 + 5*u + 2*u + 3*u**2 + 25*u**3. Let z be r(6). Round z to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 73*p - 436, -a - 14 - 5 = -44*p + 42*p - 5 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -234 - -229.81. Let g = 42 + -42.19. Let p = k - g. Which is the nearest to 2\/5? (a) -3 (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -449968 and 0.2.\nAnswer: -89993.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1974\/5441 or 0?\nAnswer: -1974\/5441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13553118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 109.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*b + 24, b = -j - 2*b - 30. Let w = -23 - j. Solve l + 3*l = w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = -266*x + 421*x - 1594 - 869 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -14, 3 in ascending order.\nAnswer: -14, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from wlwlcllwllxwlwlwl.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 - 53199*h**2 - 235178073*h + 5912748075 = 0. What is h?\nAnswer: -8879, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0146379027 to 5 decimal places.\nAnswer: 0.01464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 - 6*b + 4. Let z(y) = -y**2 + 14*y - 12. Let d be z(12). Suppose w + w = d. What is the lowest common multiple of m(w) and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6819640194873 - -0.01.\nAnswer: -6819640194872.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.449 - -0.849. Sort -0.4, -3, -0.05, f.\nAnswer: -3, -0.4, -0.05, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161187630?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -7) + -10 + 7. Find the third derivative of -5*q**2 + 0*q**x + 13*q**6 - 13*q**2 + 2*q**2 wrt q.\nAnswer: 1560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37 (base 11) to base 12.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 40 = -3*q, 30 = -4*q + 3*q + 5*u. Let l(j) = -86*j + 40 - 20 + 90*j - 23. Let f(v) = v**2 - 9*v + 6. What is q*l(w) - 2*f(w)?\nAnswer: -2*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 17 = -m, -3*o = -4*m + 13 - 37. Suppose o*z - 48 = -t, -4*z = -2*t - 57 + 9. Solve 9*b = z*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 15 = -2*u. Suppose -30 = -u*k + 55. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/7 - 20289*k**2\/7 - 971919*k\/7 - 7104591\/7 = 0.\nAnswer: -20241, -39, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8662 - -450457\/52. What is the common denominator of m and 35\/52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 398 - 391. What is the derivative of 0*n - n - 30*n**2 - 60 - 81 + o*n**2 wrt n?\nAnswer: -46*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 6*g**2 - 3*g + 13. Let t be k(6). Let y = 3 + t. List the prime factors of ((-1)\/y)\/((-2)\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 - 6*l - 12. Let w(i) be the second derivative of i**4\/12 - i**3\/6 + 4*i + 12. Calculate o(a) - 6*w(a).\nAnswer: -a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62661302?\nAnswer: 2, 11, 73, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1575548 (base 11) to base 3\nAnswer: -12001111100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 115*a - 1851. Give o(96).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20491\/17416 - 5\/2488. Calculate the common denominator of -19\/32 and m.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**3 - 14*c**2 + 14*c**2)*(0 - 2 + 0)*(-46*c + 14*c + 19*c) to the form r + m*c**2 + h*c + l*c**4 + u*c**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/4 - 129*v\/4 + 90.\nAnswer: 3*(v - 40)*(v - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -1057*c**3\/3 - 335*c**2 + 2*c + 662. Differentiate x(f) wrt f.\nAnswer: -2114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -4 + (-2 - -4 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 14*g - 33 = -10*g, -28 = 4*n + 4*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 269 + -239. Let b = 68 + -120. Let s = 139 + b. What is the remainder when s is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.62 * -2323\nAnswer: 3763.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 0*j**2 - 3*j**2)*(-31 + 38 - 7*j - 15*j).\nAnswer: 88*j**3 - 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 430 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 12*s - 7. Let z be v(1). Let l = z + -6. Which is bigger: l or 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from wwccccwccwyy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, 32, 66, 100, 134?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1\/(-1) + 1. Let o = 4.639 + 0.361. Let l be 2\/(-12)*32\/(-8). Sort o, l, w.\nAnswer: w, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbxbsssxbbrsssrrrr. Give prob of sequence xbs.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100207 is divided by 100202?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9610753 + -87.\nAnswer: -86.0389247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1685, -10643, -19601, -28559, -37517, -46475?\nAnswer: -55433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + o**5 + o**3 + (0*o**4 - 4*o**4 + 3*o**4)*(2*o + o - 32*o) + (4*o**2 - 4*o**2 - 4*o**2)*(-o**3 + 0*o + 0*o).\nAnswer: 34*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -8, 1, -5, -545, 2, 3 in decreasing order.\nAnswer: 3, 2, 1, -5, -8, -19, -545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 74\/(-12) - ((-22)\/(-12) - 2). Let t be (-91)\/(-14) + x\/4. Suppose -41500 = t*g - 170000. Round g to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*j - 97009 = -952864. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (119\/935)\/(399\/190).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28597 rounded to the nearest 1000?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(0 + ((sqrt(153) - (0 + sqrt(153))) + 0 - (0 + (0 + sqrt(153) - sqrt(153))))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((40\/(-25))\/8)\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-56)\/(-64))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-3\/7)*m)\/m)**(-3\/11))**(-3) assuming m is positive.\nAnswer: m**(90\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of 197*t**5\/60 - t**4\/4 - t**3\/2 - 3*t**2. Is w(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00100145 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 216 = 2*v, 9*v - 10*v = -5*a + 570. Suppose -4*k = -a - 295. What is the highest common divisor of k and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 3. Let o be k(5). Let t = o + 4. Is -42*t*1\/(-3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186223 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 29*y**2 + 0 + 1\/24*y**4 + 1\/10*y**5 - 1\/6*y**3 + 0*y. What is g(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29c16 + 3?\nAnswer: 29c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x + 4. Let d(h) = 27*h + 22. Let q(c) = -4*d(c) + 22*f(c). Let a(m) = 19*m. What is q(a(k))?\nAnswer: 38*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -64*n. Let k(b) = 1012187*b. Give t(k(u)).\nAnswer: -64779968*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 185 = -4*l. Let u = 63 - l. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13*11\/286)\/((-5)\/20*5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - -0.0627.\nAnswer: -54.9373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -702.2378 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-2*2 - (-90 + 75). What is the highest common factor of l and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/10)\/((-5)\/50). Let y = u - 0. Suppose 0*g - y*g = 0. Let o(v) = v - 9. Calculate o(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35394422 - -20?\nAnswer: 35394442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -9 (b) 5 (c) 2\/9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, j: 2, h: 1, t: 3, b: 1}. What is prob of sequence jj?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 15 = 33. What is the least common multiple of f and 63?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 516966041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -5, 0.036, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.3 (b) -0.096 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(200) - 4*sqrt(200)*2)*6)\/(2*sqrt(1000) + sqrt(1000) - sqrt(160)*-1).\nAnswer: -42*sqrt(5)\/17 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -243410?\nAnswer: 243410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4530.33 times 101\nAnswer: 457563.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*x + 43*x - 50*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*w + 376 = -1266 + 42 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d - 19*d + d - 10*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -293*k**3 + k**2 - 10*k - 9. Let j be h(-6). Let s = -128375 + j. What is s rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/3 - (-14)\/2. Let d be (947 + -1)\/(x - 3). What is d rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -620 - -625. Let r = -1 - 4.2. Let i = v + r. What is the second biggest value in 1, i, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 15*v. Suppose -5*f = -r + 32, 5*r - f + 3*f - 25 = 0. Let a(k) = -8*k. Let j(b) = r*a(b) + 4*h(b). Find the second derivative of j(o) wrt o.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 5 - -5 - 9 - -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**8\/3360 - m**5\/20 + m**4\/12 + 3*m. Let w(z) be the third derivative of c(z). Differentiate w(u) with respect to u.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 4. Let f be 1 + 1\/(w\/10). What is the closest to f in 3, -2\/3, -1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 2592?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1234*t**6 - 366*t**2 wrt t?\nAnswer: -148080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5407101 and 5490?\nAnswer: 54071010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hsjjnpphphhssnphsnhn. What is prob of picking 2 j?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3956\/5 - -43786\/55. Factor -16\/11 - 50\/11*u - n*u**2 - 2\/11*u**4 - 2*u**3.\nAnswer: -2*(u + 1)**3*(u + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1485*h. Let g(k) = 10*k. Determine -405*g(m) + 3*t(m).\nAnswer: 405*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47775, -47783, -47795, -47811, -47831, -47855, -47883?\nAnswer: -47915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(4 + -1 + sqrt(200) + -2) + -5.\nAnswer: -2 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + n + 15. Let g(u) = -u**3 + 2*u**2 - u. Let v be 1\/(-1)*(3 - 4). Let f be g(v). List the prime factors of w(f).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1030, 4156, 9386, 16714, 26134?\nAnswer: 37640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = j + 1022 - 1046, 0 = 2*p - 3*j - 13 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 80. Suppose b - 121 - w = 0. Suppose 0*v = -2*v + b. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -9, -24, -2 in increasing order.\nAnswer: -24, -9, -2, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 21, 54, 117, 216, 357, 546?\n\"Answer: a**3 + 9*a**2 - a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 544a1e (base 16) to base 3.\nAnswer: 101101122111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 + 121*g + 98. Let a be m(31). Put -2, 2, -4, -40, a in ascending order.\nAnswer: -40, -4, -2, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 21 + 16 = 3*o, -5*o + 4*d + 57 = 0. Let g = 24 - o. Suppose g*m - 18 = 9*m. What is the highest common factor of m and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41118 and 8188.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 897077697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f + 4. Suppose -5*u - f = -6*u. Let k(p) be the second derivative of p**4\/3 + p**2\/2 - 2*p. Give k(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 98, -3 in descending order.\nAnswer: 98, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27660383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -545226 - 40?\nAnswer: -545266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 16 - 2*h + 9.\nAnswer: -2*h + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643258 is divided by 128411.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3124 + -3106. Solve -16*s + 22*s = -t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91938308 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 14*u. Let p(n) be the first derivative of 31*n**3 - 1412. Calculate f(p(r)).\nAnswer: 1302*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 0*x**2 + x**3 + 5 + 0*x + 2\/5*x**5 + 0*x**4. Find the third derivative of l(c) wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 1118, 2517, 4476?\nAnswer: 6995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6715 and 425.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/11 and 131\/6726?\nAnswer: 73986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 2*x**2 + 31 + 3040*x + 26 - 3040*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(40)\/sqrt(2) - ((sqrt(60) - (sqrt(60)*1 - sqrt(60) - sqrt(60)))\/sqrt(3) + sqrt(20)))\/(sqrt(60)\/((sqrt(120)\/sqrt(5))\/sqrt(4))))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 808, 1615, 2420, 3223, 4024, 4823, 5620?\n\"Answer: -z**2 + 810*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47502, 94929, 142356?\nAnswer: 189783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:29 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c = 10*c - 15*c + 372 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/16 + 3\/96*204. Is 33 a factor of 14076\/85 - w\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 72938\nAnswer: 437628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 372 and -0.1117.\nAnswer: -41.5524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.71997919 - 43.72. What is c rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 12:34 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45409.\nAnswer: 7, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10381 + -3101. Is m a multiple of 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -995*c - 995*c - 996*c + 2981*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x + 366 + 366 = 732. Let m be 90\/4 - 2\/(-4). Solve x = -5*y + m - 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2038 + 2041. Calculate the highest common factor of 22 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.4 (c) -0.114 (d) -10\/9 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 43035*b**3 - 43032*b**3 + b.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371 + 0*d**3 + 402 + 7*d - 773 - 3*d**3.\nAnswer: -3*d**3 + 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36886 + 46972 = 3*m + 20*m. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 2:10 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -283? (a) 95 (b) 1 (c) 201\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 2*w + (7*w - w - 3*w)*(0 + 5 - 1) + 1 - 1 + w + (1 + 1 - 4)*(1 - 2*w - 1) + 2*w - 5*w + w - 2*w + 4*w - 3*w to the form j + t*w and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2411*m + 1205*m = -1306*m + 2700 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21104639 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38.77 + -39. Let a = c + -0.64. Round a to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - r**2 + 2*r. Let u be o(-2). Suppose u = 3*x - w - 3*w - 50, 62 = 4*x - 3*w. Let h be x\/77 - (-1502)\/88. Do h and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(-2*n - 3*n + 2*n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 129533951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -3. Let s(l) = -l**2 - 5*l + 2. Let m be s(u). Suppose -3*f - m*f = -1905. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171933 = -7444*k + 633461 for k.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*h + 7*d, 9*d - 6 = -41*h + 42*h + 4*d + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7090*i**3*j**3 - 14*i**3*j + 10*i**2*j**2 - 2*i*j**2 + 9*i*j + j**3 wrt j?\nAnswer: -42540*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3594, -3593, -3592, -3591?\n\"Answer: r - 3595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -653513 (base 7) in base 2?\nAnswer: -11011110111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -958347.74 rounded to the nearest one hundred?\nAnswer: -958300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 - 5 + 5)*(-4 + 4 + 1) + 0*x + 2*x**3 + 0*x + 7*x**3 - 2*x**3 - 2*x**3 - 3*x + 2*x**3 + 3*x + 4*x - 4*x + 2*x**3 + 3*x**3 + x**3 - 3*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.12038252 to 2 dps.\nAnswer: 13.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + p**2 - 1. Let g(q) = 21*q**2 - 37 - q**3 + 4*q**3 - 5*q - 2*q**3. Let k(i) = -g(i) + 2*y(i). Is k(19) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 384 = -3*g, 5*u - 4*u - 5*g = 128. Calculate the remainder when u is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810)*-1)\/(sqrt(800)\/sqrt(10)).\nAnswer: -9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - 2. Is 2\/((40\/(-285))\/z) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207435261.\nAnswer: 3, 11, 479, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*o + 10 = 0, -2*h + 11 - 1 = -4*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -910 - -1467. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 571, 1135, 1685, 2215, 2719, 3191, 3625, 4015?\n\"Answer: -t**3 - t**2 + 574*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(-2\/7)*z)\/z*z)**(-1\/31)*z**(-5)*z**(-1\/4))**(-41))**24 assuming z is positive.\nAnswer: z**(1136766\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h**3 - 21*h**3 + 18*h**3)*(-h**2 + h**2 - 3*h**2) + h**5 - 3*h**5 - h**5 + (-2*h**3 + 1 - 1)*(h**2 - 2*h**2 - h**2) + 5*h**5 - 3*h**5 - h**5.\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 16*r + 44. Let i be k(13). Suppose -i*y + 241 + 19 = 0. Let v be -2 - -1 - (-2 + -12). Calculate the highest common divisor of y and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5))**(-1\/14)*l**(5\/6)\/(l\/(l\/l**(-3))) assuming l is positive.\nAnswer: l**(398\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44.6 + 45. Let w be 48\/(-95) + (-2)\/(-5). Which is the smallest value? (a) o (b) w (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -336b9b6 (base 12) to base 13.\nAnswer: -206b0bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*o + 33 - 328 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48.01 - 47.31. Sort -1, n, -2\/13 in decreasing order.\nAnswer: n, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(88)*-2)\/sqrt(8) + (sqrt(396) + 1)**2).\nAnswer: -1985 - 50*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v + 174. Let o be j(-29). Solve -2*u + 4*a = -22, 3*u - 3 = -4*a - o*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5006, 5010, 5016, 5024, 5034, 5046?\nAnswer: 5060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 6*l - 3. Let r be s(-3). Suppose 0 = r*q - 7*q + 35. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -x + 74, -89 = -3*k + 2*k + 2*x. Let v = k + 26. Calculate the greatest common factor of 14 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175752 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 34 = -21*s - 9*s - 5*v - 3, 4*v = -5*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c - 9. Suppose 0 = 4*q, 16 = -5*m + m + 3*q. What is the smallest common multiple of 9 and d(m)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 141702615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 + -50. Let j be (-2)\/2 - 380\/(-2). What is the greatest common factor of j and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 33, 61, 89?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2*j**1*(j**(-6\/11)*j)\/j**(-4\/7) assuming j is positive.\nAnswer: j**(310\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**2. Let g(i) = 329*i**2 - 8. Determine g(j(z)).\nAnswer: 16121*z**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 17 + -19 + 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t + 3*r - 77 = 0, -5*r + 185 = 5*t. Let m = -62 + t. Is (-988)\/m + (-2)\/7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -32. Which is the closest to 0? (a) 0 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -219, -375, -561, -777, -1023, -1299?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -307417884, -614835767, -922253660, -1229671569, -1537089500, -1844507459, -2151925452?\nAnswer: -2459343485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10122541*p**2 + 89884529 wrt p.\nAnswer: 20245082*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95748.\nAnswer: 2, 3, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/3 (b) -117021697\/4 (c) -5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*b - 5*b + 4*b)*(-5 + 3 + 0) + 83*b - 10*b - 5*b in the form r*b + i and give r.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 287. What is the tens digit of r(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25848.988 + 25805. Let c = x + 43.9. What is c rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1901552 is divided by 1487?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from srrrrrrrrrrrrrrrrrrr?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 0 (c) 0.07 (d) -0.022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, s: 3, j: 4}. What is prob of picking 1 l and 2 j?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - o + 3*o + 304 - 6*o - 304 + 0 - o + 0 - 3*o - o + 2*o + (-3 + 0 + 2)*(o - 1 + 1) - 5 + 5 - o)*(0*o**3 + 3*o + 2*o**2 - 5*o + o**3).\nAnswer: -12*o**4 - 24*o**3 + 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -44.2. Let y = -15 + g. What is the closest to y in -0.4, -1, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 + 3.98. Let g = 0.8 - m. Suppose y + 9 = -2*d, 3*d - 19 = 5*d + 3*y. What is the closest to 1\/5 in d, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65181104\/7 or -9311585?\nAnswer: -9311585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6*j = -70. Let a be (-4)\/(-10) - 36\/j. Suppose 3*h - 2*i - 158 = 0, -2*i = -3*h - a*i + 154. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 7*z + 5, -5*z + 5 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**2 - 542499636*k + 24525487921677708 = 0.\nAnswer: 90416606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-65)\/(-15) + (-1)\/3. Suppose -2*k + 6 = -k + 3*i, k + z*i = 2. Let c = -6 + k. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 1680*b**2.\nAnswer: 5*b**2*(b - 336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/14 + -3 + (-40)\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-80)*8\/6. Let y = -11\/5 + 92\/35. What is the second smallest value in y, 1, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.3 or 12220082?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 12:16 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.02, -0.62, 7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 37. Let n be a(12). Calculate the highest common factor of 39 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 + 431004*q**2 + 11615663676*q + 290122276900 = 0. Calculate q.\nAnswer: -53863, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-28 + -19 + 131 - (11 + 2 - 0)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.87 + 88.87. Let v = m + -90. Which is smaller: v or -0.34?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70708201\/29616 + 1\/29616. Let j = -1103581793 + 461296191495\/418. Let c = j - x. Is c less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2545 and 246356?\nAnswer: 1231780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -6.95. Let w = -0.05 + t. Which is the nearest to -1? (a) 3 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24853931 to the power of 1\/2, to the nearest integer?\nAnswer: 4985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/12 and 83\/44147625.\nAnswer: 176590500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1307 times 0.2?\nAnswer: -261.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*h + 93*h - 40*h + 7*h as y*h + q and give y.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38931083602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 830, 1402, 1940, 2432, 2866, 3230, 3512?\nAnswer: 3700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/9479708491 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -15866*(-17)\/(-44) - -2. Let n = y - -6123. What is the common denominator of (-3 - -2)*(-207)\/(-66) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -295974, -296268, -296760, -297450, -298338, -299424, -300708?\n\"Answer: -99*b**2 + 3*b - 295878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 487162.3mm?\nAnswer: 487162300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59949896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 18. Let p(x) = 3*x + 10. Let f be p(-2). Suppose -5*k = -31 - f. Is u at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -319?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*v = -2*v + 184, 4*v = -5*q + 298. Suppose -q*a - 36 = -60*a. What is the remainder when 89 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000544 rounded to six decimal places?\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/6 and (82\/4)\/(5 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2 = 3*i, 0*i + 2*i + 5*c = -2. Suppose 0 = -2*s - 0 + i. Suppose 0 = -s*f + 4*f - 8. Solve -q = f*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/20 and ((-558)\/(-28))\/(-5 - 1)*2?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -233\/92 (b) 0 (c) -1 (d) -5 (e) 53\/9 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501*f**5\/2 + 2011*f**4 + 32453*f**3\/2 - 455*f**2 = 0.\nAnswer: -5, 0, 14\/501, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2270, 2272, 2274, 2276, 2278, 2280?\nAnswer: 2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -32*g**2 - 5. Let m(c) be the second derivative of -2*c**4\/3 - c**2\/2 - 2*c - 9. Determine 2*d(p) - 9*m(p).\nAnswer: 8*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4\/(t**(4\/5)\/t*t*t))\/((t\/(t*t\/(t*t**(1\/13))))\/(t\/(t\/((t\/t**(3\/11))\/t)*t))) assuming t is positive.\nAnswer: t**(608\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.314253 nanograms in micrograms?\nAnswer: 0.001314253","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -299382, -1197513, -2694386, -4789995, -7484334?\nAnswer: -10777397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28487.63679 - -4\nAnswer: -28483.63679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -120511158 divided by -6?\nAnswer: 20085193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*y = -102, 125*y = 4*g + 127*y - 244. Solve g = -27*w + 59 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-3))\/((-1)\/1569). Suppose -4*j = -16, -5*u = -10*u + 3*j + p. Suppose -u = -3*k + 124. What is the highest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*g - 19 = -3, 3*y + 3*g = 0. What are the prime factors of 1\/2 - 49\/y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1300) + -3)**2 + sqrt(1300)*1 + -2 - ((-1 + sqrt(1300) + 1)**2 - (-3 + sqrt(1300)*3)).\nAnswer: -120*sqrt(13) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 9 = -3. Let h(r) = -13*r - 5 + 3 + 3. What are the prime factors of h(l)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-188)\/1128*4*2\/10?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 477 and 889605.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82.3 - 82. Let y = -0.3 - 0.2. Let s = -0.3 - y. What is the closest to 0.1 in x, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -12 + 13*c**3 + 7*c - 5*c**2 - 12*c**3 + c. Is o(5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 209. Let w = -34 - -34. Let t be z(w). Let v = 328 + t. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7092175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*n - 225, -2*p - n = -2*n - 150. Let z be ((-4)\/(-6))\/(10\/p). Suppose 5 = -z*i, 0 = 4*t - 3*i - 57 - 26. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35700 divided by 714\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(35)\/(1*sqrt(252)) + (-4*sqrt(75)\/sqrt(3) - sqrt(25))\/sqrt(5)).\nAnswer: 29*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.8 - -25. Let c be ((3\/(-1))\/(3 - 5))\/(-80 + 74). What is the third biggest value in c, 1\/9, 2, h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -4*a - 11, -9*a + 6*a - 7 = -2*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -768, -1062, -1352, -1632, -1896?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-16) - (-1166)\/780)*-2. Let k = -203\/780 + d. What is the nearest to k in -1\/4, 4, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + (-2 - 36\/21). Let y be (-8)\/(-20)*(-30)\/(-8). What is the closest to 3 in -5, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 1368.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p + 5. Let r(w) = -w + 1. Let s(y) = -2*c(y) + 10*r(y). Let k(z) = 2*z - 6*z + 4*z - 2*z**2. What is s(k(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*f = 85*f - 14848 + 497. Calculate the remainder when 221 is divided by f.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 - 1426*f**3 - 240*f**3 + 4*f**2 - 6*f**2 + (2 - 2 - 2*f**2)*(2*f + 0*f - f) + 0*f**3 + 2*f**3 - 3*f**3.\nAnswer: -1669*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1700 and 204?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**2*n))**12\/((n\/(n*n\/n**0*n*n)*n)\/(n**(3\/4)\/n))*((n*n**(-4))\/n*n\/n**(-2\/7))\/(n**(-2\/5)*(n\/(n\/(n*n**(-6))))\/n) assuming n is positive.\nAnswer: n**(761\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4, 0, -456, 3 in descending order.\nAnswer: 5, 4, 3, 2, 0, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408883711?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6.4 or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.5 (c) -12\/11 (d) 0.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (492\/(-18))\/(10\/(-6) - -1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -5 - 0\/(-3). Let z(q) = q**3 + 4*q**2 - 4*q. Let a be z(-5). Let o be ((a - -3) + 4)*2. Solve -j*x + 0 = o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 - 47*s + 151. Let w be l(3). Suppose w + 2 = 22*r. Solve 2*n + 2*n = 3*z - 4, -r*n = 4*z + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6333*c**2. Let s(h) = 235*h**2. Calculate s(m(f)).\nAnswer: 9425118915*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426934553 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5382528 and 84102.\nAnswer: 5382528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 280031310 a multiple of 8619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57172 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2\/5))**7\/(u**(-12)\/u*u\/(((u**11\/u*u)\/u*u)\/u*u)*u))**44)**(-8\/19) assuming u is positive.\nAnswer: u**(-46112\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/3173679 and -19\/17.\nAnswer: 3173679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, f: 1, j: 1, x: 1, q: 1}. What is prob of sequence xj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvv when three letters picked without replacement from yyyyyyyvyvyy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 24. Determine h(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -0.861667?\nAnswer: 5.861667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:51 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -135046 (base 7) in base 15?\nAnswer: -7974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 + 294796*s + 42 - 2*s**3 - 294858*s + 17*s**2.\nAnswer: -2*(s - 7)*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.1 and 2291?\nAnswer: 2289.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5433643\/27 or 201246?\nAnswer: 201246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26488, -26489, -26490, -26491, -26492?\n\"Answer: -a - 26487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 1353?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.15, 1\/36, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 greater than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -113\nAnswer: 56.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*(w\/w**8)\/w)\/w)\/w)\/w*w**6*(w*w**3)\/(w\/((w*w**(-3\/7)\/w)\/w*w)) assuming w is positive.\nAnswer: w**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*r + 5*a - 7*a, -8 = -4*a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = f - 15, -89041*f - 5*z + 48 = -89042*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 342975401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275 - 4*s + 275.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/286 and -45\/21736.\nAnswer: 21736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3537 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11625694.3 times -1?\nAnswer: -11625694.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/12 - 426\/(-20)*(-205)\/(-369)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**4\/42 + d**3\/21 - 42*d. Determine y so that f(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -30*a**2 - 15*a - 5. Let z be j(-4). Let l = z + 772. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -166 - -168. Solve j*y = y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 5:13 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 15, -13, -75, -183?\n\"Answer: -2*o**3 + o**2 + 5*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12359 - -22225. What is the thousands digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-0.06.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and -1220?\nAnswer: 1220.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 978308 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 5*p**2. Let z be b(5). Let w(l) = -11*l + z - 29*l + 9. Is w(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6)\/((-300)\/90)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -236, -467, -698, -929, -1160, -1391?\n\"Answer: -231*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61246 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/(-30) - (-4)\/10. Suppose 5*j = -m + 7, -2*m - 2*j + 0*j - d = 0. Which is the biggest value? (a) -4 (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**6\/60 - 89*q**5\/15 - 30*q**4 - 2*q**2 + 585*q + 3. Factor u(a).\nAnswer: 2*a*(a - 180)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 290, 287, 284, 281, 278, 275?\n\"Answer: -3*x + 293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-nine halves of a microgram in nanograms?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/3)\/t)**(1\/12)\/((t*t*t**(-14)*t)\/t**(2\/15)) assuming t is positive.\nAnswer: t**(2029\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16d0 (base 14) in base 16?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/52 (b) -15 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r - 434 = -146 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*w**4 - 872*w**3 - 3308*w**2 + 120264*w - 47520 = 0. What is w?\nAnswer: -33, -20, 2\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o - 63. Calculate the highest common factor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 262, 294, 348, 430?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22\/(-10) + (-1)\/(-5). Let x be l\/4 + 35\/10. Solve -x*j - 1 = -p - 4, 0 = 4*j + 3*p - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6064 + 6064.1. Which is the fourth biggest value? (a) 0.19 (b) 0.3 (c) -5 (d) -1 (e) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 12 - 12)*(-2 + 2 - 3*d).\nAnswer: 78*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -232023 (base 4) in base 12?\nAnswer: -1863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 465727?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 590077.3ng?\nAnswer: 0.0000005900773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -59. Let o = -20 - c. Let y = -4.999972 + o. What is y rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3244, -25752, -86814, -205708, -401712, -694104, -1102162?\nAnswer: -1645164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.583254 centuries?\nAnswer: 0.0583254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 26004?\nAnswer: -1\/8668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5816 is divided by 414.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22580 - 451693\/20. Calculate the common denominator of 73\/16 and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475) + 1)**2 - (-5 + -3*sqrt(171)).\nAnswer: 29*sqrt(19) + 1906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9178 - -0.0822. Let x = -0.04 + 7.04. Which is the second smallest value? (a) 5 (b) x (c) 0 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(7) + (sqrt(42)\/(sqrt(6)*-2))**2 - ((sqrt(84) - sqrt(84)*-5)*-4)\/sqrt(12).\nAnswer: 19\/4 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*a = 206, 5*y + 3*a - 239 - 307 = 0. Suppose -k - 3*s + 100 = 0, 3*k + 5*s = 4*k - y. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + -8 - 12) + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 7 + 105. Let j = u - -64. Solve -4*w - 3 - j = i, -3*w = i + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 798 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**2 + 7*m**2 + 11*m - 4*m**2.\nAnswer: 14*m**2 + 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*m**6*n**3 + 38074*m**6 - 144145*m**2 - 14*n**3 wrt m?\nAnswer: -2280*m**3*n**3 + 4568880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 201 and 6.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-7)\/f*f*f)\/f*f\/f**(2\/31))**(13\/3) assuming f is positive.\nAnswer: f**(-546\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 2*j - 57. Let z = j + -53. Suppose 2*y - 4*y + 646 = z. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 149 and 270733.\nAnswer: 270733","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106885 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4292*x**3 + 8*x**2 + 1641*x - 1. Let h(n) = 4292*n**3 + 12*n**2 + 1641*n - 2. Let f(b) = -2*h(b) + 3*i(b). Find the second derivative of f(p) wrt p.\nAnswer: 25752*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.096 - -345.096. Let j = 344.99718 - k. Round j to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42 minus 496809498354?\nAnswer: -496809498354.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230 or -226?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29476423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -527311 - -348025111\/660. What is the common denominator of o and -1\/308?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1112 + 3?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1601741*q**3 - 1530870*q.\nAnswer: -9610446*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.62+-35468845.69\nAnswer: -35468844.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from rirgrrrrrgrrgggrg?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-10) - (-595)\/350. Suppose -148*f**4 - 64*f - 316*f**2 + 28*f**5 - 339*f**2 + 863*f**n + 96*f**3 = 0. Calculate f.\nAnswer: -1, 0, 2\/7, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12500 + 16?\nAnswer: -12473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3942903151?\nAnswer: 11, 358445741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = h - 16, -t - 14 = -2*h - 0*t. Suppose -54 = 3*v - h. What are the prime factors of (v\/12)\/(4\/(-18))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 377 and 71.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -4, -516 in increasing order.\nAnswer: -516, -4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 388097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**5\/10 + 5*i**4\/12 - 3*i**2 + i. Let n(s) = -s**2 + 1. Let x = -1 - -2. What is x*b(k) + 6*n(k)?\nAnswer: 2*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*n**4\/3 - 16*n**3 + 2*n**2\/3 + 4*n + 2\/3 = 0. Calculate n.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1085, 2, 20167, 5 in ascending order.\nAnswer: 2, 5, 1085, 20167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 - 3*r**3 + 5*r**3)*(322*r**2 + 493*r**2 - 164*r**2).\nAnswer: -651*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 100*z + 300. What is k(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 2564*h**2 - 25*h + 98. Is f(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**2 + 2 - 2 + (0*b - b - b)*(2 - 2*b - 2))*(2*b - 3*b + 0*b) to d*b + x + h*b**3 + w*b**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 12*r**2 + 13*r + 1. Let f be g(-13). Solve 0 = -o - f, 4*k + 5*o + 1 + 4 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 2 (c) -2919 (d) 0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4791047.\nAnswer: 1471, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 178*a**2 - 4171*a + 1598. Determine r(-199).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 408 = -47. Let t = 93 + l. Suppose -2 = -t*i + q, 0 = 6*i - 7*i + 2*q - 2. Solve 0 = -i*s + 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*d**2 + 16 + d - 6 - 116*d**2 in the form o*d + a*d**2 + y and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*c + 2*l = -11, 0 = -3*c + 3*l + 12. Solve 4*p = c*p + q - 3, -2*q = -4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**2 + t. Let m be p(-1). Let v = 72 - 71.29. Let y = v - -2.29. Which is the nearest to 2? (a) m (b) y (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 7*n**2 + 7*n - 1. Let g be x(-8). What is the common denominator of (-3387)\/630 + 1\/g and 19\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 2*q - 2. Let u be d(2). Suppose -u*h + 2 = -16. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10402925 minus 1.929559?\nAnswer: -1.82552975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/6 - (-2)\/4. Let v be g\/5 - (-96)\/20. Solve -v*z = -10*z + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 10:58 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, -128, -131, -134, -137?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.04679 rounded to 1 decimal place?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27081*a + 1 - 27081*a + 74*a**2 to the form d*a**2 + p + x*a and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = k + 73655, 28*k - 30*k = -2. What is the highest common divisor of 33 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42537 take away 3?\nAnswer: -42540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3689 + -3687. Let d = -0.7 + 0.3. Let r = -0.3 - d. Which is the closest to r? (a) -4 (b) 0.01 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from yygyqgyygzygmggj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/((-2)\/(-7)*38\/(-152)). Let z(g) = 7*g - 93. Give z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 19. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -1162*m + 1038822. Determine z(894).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-45)*-1)\/((-2)\/18)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -t**5 + 174*t**4 + 15555*t**3 - 2911628*t**2 + 5775900*t - 2880000 = 0.\nAnswer: -128, 1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/60 + 6*g**2 - 45*g. Let h(n) = 0*n + 0*n + 4*n. Give r(h(m)).\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in months?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/(i*i\/(i\/i**(-11\/2))*i)*i\/((i**(-13)\/i)\/i)*(i**(-5\/6)*i*i)**(-24) assuming i is positive.\nAnswer: i**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -5. Let h = 0.085 - -7.315. Let r = l + h. What is the second biggest value in -0.2, -5, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315 and 104405?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**2 + w + 343. Let s(m) = 8*m**2 - 3*m - 684. Let o(g) = 5*a(g) + 3*s(g). Find the first derivative of o(p) wrt p.\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119912 divided by 4612\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 - 39. Let h = 66.802903488 - -0.197095312. Let b = q - h. Round b to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 2620. Suppose -4*j + p = 47. Suppose -j = -m - 3*m. List the prime factors of m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 346497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*m + q + 992, m - 348 = -4*q. Does 23 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 0.36.\nAnswer: 10.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -348 + 348 + 232*n to the form w + p*n and give p.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024345125 to 5 dps.\nAnswer: -0.02435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 12*h**2 - 13*h**2 + 8 - 5*h**3 - 2 - 5. Suppose -6 = -g - 2*g. Suppose -5 = g*q + 3*q. Give w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17870 divided by -4.\nAnswer: -8935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.6 - 0.6. Let y = 44.95 + -44. Let a = -0.05 - y. Is u at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1350 and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a - 11*a**3 - 23*a + 19*a**3 - 7*a**3.\nAnswer: a**3 - 50*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 770 - 722. Which is the nearest to y? (a) 0 (b) -3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in 1, 1\/6, 390, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -378*y - 39610 + 30538 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -27*n. Let z be x(-1). Let m = -5 + z. Suppose -m = -4*a + 58. Calculate the highest common divisor of a and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 212 = -2*z. What is the lowest common multiple of z and (-42)\/(-112) - (-1269)\/72?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 7*x**6\/120 + 11*x**3\/3 - 20*x**2. Differentiate r(s) wrt s.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/7 - (-440)\/56. Suppose -4*b - u = -5*n, -b = 3*n - 0*b - 15. Solve -3*y - 4*r + 9 = 0, n*y + 6 = -r + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-17\/5)*y)\/(y**(5\/7)*y))**(-3\/22) assuming y is positive.\nAnswer: y**(327\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 8:35 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**2 - 270*m + 275 = 0.\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 9*s**2. Let t be u(9). Suppose t*j = -4*j. Suppose -8*y + 11*y + 3 = j. Which is bigger: 1\/7 or y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 + -1.41. Let x = 1 + -11. Let v be (-2)\/4*(-4)\/x. Sort g, -3, v in descending order.\nAnswer: g, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 - 145*a + 549. Let r be x(4). Solve -q - w + r = 0, 4*w = 37*q - 35*q + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 164*y**2 - 16\/3 + 976\/3*y = 0.\nAnswer: -2, 2\/123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12162431 - -156?\nAnswer: 12162620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/7 or -325057?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 942, 4131, 9560, 17229, 27138, 39287?\nAnswer: 53676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -7.98. Let j = m + -0.27. Let p = 0.25000079 + j. Round p to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 12, -63, -162?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9295290833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5 + 3*t - t**2 + 3*t - 4169*t**3 - 3*t. Let j be g(7). What is j rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/5 - (-775)\/(-250))*-8. What is the highest common factor of d and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 15*q**3 + 74*q**2 + 196*q - 26. Let j(z) = 7*z**3 + 34*z**2 + 98*z - 12. What is -13*j(w) + 6*r(w)?\nAnswer: -w**3 + 2*w**2 - 98*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2238 in -0.075, -0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*t**4 - 4962*t**3 + 85*t**2 - 2427?\nAnswer: 1272*t - 29772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -82393000 rounded to the nearest one million?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbbyhybbbyby. Give prob of sequence hybh.\nAnswer: 7\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 329\/4 not equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3664177 is divided by 1221383?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - 31.8. What is a rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4565 = -13*z - 1055. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90677*q*s**3 - 3*q*s**2 - 3*q*s - 1077164*q wrt s.\nAnswer: -544062*q*s - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1 + (-3 - 2 + 6)*(-2 + 6 - 3))*(1 + 1 + 2)*(-2*y - 1 + 3*y + 3).\nAnswer: 8*y + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.025004161 + -10.025. What is w rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/7 or -0.55?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from hlyyylyhlhyhyyyhl?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2257200.2299946 - 2257200. Let q = p + -0.23. Round q to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*j + 16 = 65*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 2, o: 5, b: 1, f: 1}. Give prob of picking 1 f and 1 b.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8511, -16956, -25391, -33810, -42207, -50576?\n\"Answer: g**3 - g**2 - 8449*g - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1408, -2541, -3672, -4795, -5904, -6993?\n\"Answer: m**3 - 5*m**2 - 1125*m - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**2 + 149*t + 144. List the prime factors of d(45).\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**3 + b - 5*b**3 - 5*b - 3*b**3 + 1 as j*b + a*b**2 + q + u*b**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:26 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9503, 9496, 9487, 9476?\n\"Answer: -w**2 - 4*w + 9508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 785*u**2 + 22380*u + 21600.\nAnswer: 5*(u + 1)*(u + 36)*(u + 120)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3\/11 - 54*y**2\/11 - 30*y\/11 + 28\/11 = 0. What is y?\nAnswer: -1, 1\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1937598 is divided by 4692?\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 692 - 29053?\nAnswer: -28361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.669 + -6.7. Let x = d - -0.03100066. Round x to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*s + 8*s**2 - 210*s**3 + 5*s**2 - 2 - 340*s**3 + 293*s.\nAnswer: -550*s**3 + 13*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 27. Suppose -w*s = 18 + 6. Let f be 3 - 1*s\/(-4). Solve f + 4 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (6 - 4\/(-4)). Suppose h - 1321 = -b*q, -3*h + 5 = 2*h. What are the prime factors of q?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45e4f5 (base 16) in base 12?\nAnswer: -164a985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3880\/78570)\/(56\/(-36)).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61098173?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 24. Let u be (-11 - -1)\/(-6 - x). Calculate the greatest common divisor of 15 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -407\/5210?\nAnswer: -407\/5210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**2 - 18 + 40 + 33 + 81 to the form d + b*g**2 + v*g and give d.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6291 - 6290. Sort i, 5, -7 in decreasing order.\nAnswer: 5, i, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62152 (base 7) to base 11.\nAnswer: -10449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 15, 0 = -519*b + 516*b + 2*a - 31. Let y(j) = -6*j + 2. Give y(b).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 831114.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 0.4, 0.1, 1.4, 211, 0 in descending order.\nAnswer: 211, 1.4, 0.4, 0.1, 0, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p + 7. Let d be (-2555)\/(-4) - 9\/12. Let n(b) = -1 + 637*b + d*b - 1276*b. Calculate 14*n(a) + 2*v(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -650, 322, 0, -125.\nAnswer: -650, -125, 0, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22, -385, -5, 0 in ascending order.\nAnswer: -385, -22, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 19 = -o + 5*z, -2*o - 2*z = -6. Suppose -533 = -3*q - 5*t, o*q - 17*t + 12*t - 734 = 0. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 36*p - 36. Let h(q) = 4*q - 164. Let d(v) = v - 33. Let i(k) = 35*d(k) - 7*h(k). Determine 3*a(w) - 16*i(w).\nAnswer: -4*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283778 is divided by 1033.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Suppose -5*l + 5 = -5*n, 5*l - t*l - 20 = -4*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -70*f - 9. Let c(u) = -35*u - 5. Let w(z) = -6*b(z) + 13*c(z). Find the first derivative of w(i) wrt i.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z + 38. Let n(o) = -11*o + 75. Let a(c) = -3*n(c) + 7*u(c). Let j(w) = -2*w + 1. What is the remainder when a(0) is divided by j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 226*x - 15. What is the hundreds digit of k(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-23)\/((-345)\/(-30)). Let l(t) = 2*t**3 + 5*t**2 - 8*t + 1. Calculate l(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 16, 48, 104, 190, 312?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -43\/6 in -7, -1\/6, 5, 1\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1399.716 + -1404. Let s = 4.5 + l. Let z = s + -0.016. Which is the biggest value? (a) -3\/2 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iipixixiipiiidiiiitd. What is prob of picking 3 i and 1 p?\nAnswer: 572\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 219, 445, 671, 891, 1099?\n\"Answer: -y**3 + 6*y**2 + 215*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82824.\nAnswer: 2, 3, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-132))\/((-8)\/22)*-4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28717)\/(-455) - 63)\/((-4)\/(-98))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10*32.3\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/14217 and 82\/42651?\nAnswer: 42651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6648.871kg to tonnes.\nAnswer: 6.648871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/11 (b) 2\/5 (c) -3 (d) 44 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 18.\nAnswer: -13, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 68974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/2 (c) -0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 555622 + -555615 + (-1)\/(-25)*-197 + (-1)\/(-1)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06604 rounded to 3 dps?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*p**3 - 281*p**3 - 188*p**3.\nAnswer: -540*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 494997, 989998, 1485013, 1980048, 2475109, 2970202?\n\"Answer: x**3 + x**2 + 494991*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.098288 to 2 decimal places.\nAnswer: 18.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31138 - -31156.677. Round c to one decimal place.\nAnswer: 18.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 12:00 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 5*a + a + 8*a.\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 124.27437 to the nearest integer.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16567800 by 5.\nAnswer: -3313560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2332 and 127463092.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177.01445 + 177. Round q to 4 dps.\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -8, -5, 2 in increasing order.\nAnswer: -8, -5, -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/7)\/z*z\/(z\/(z**1\/z))*z*z**(-1\/2)*z*z*z\/z**(3\/4)*z*z*z*z**(-5)*z*z**(-1\/4)*z*(z**(-2\/3))**18 assuming z is positive.\nAnswer: z**(-143\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5114028 to the nearest integer?\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*y - 181*y + 87*y + 118.\nAnswer: 2*y + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -135, -451, -945, -1617, -2467, -3495?\n\"Answer: -89*g**2 - 49*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v - 4 = 4*d, -4*v - 20 = -2*d. Let l(o) = 5*o - d*o - o. Let a(s) = 5*s. Give l(a(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {b: 9, v: 9}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -30, -77, -156, -273, -434, -645?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 180*k + 1863.\nAnswer: -3*(k - 69)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = 9*m - 14*m. Let d(y) be the first derivative of 1\/8*y**2 - 1\/3*y**3 + 2 + m*y. Suppose d(z) = 0. Calculate z.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40 and -56\/1515?\nAnswer: 1515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (-7)\/((-14)\/(-4696)). Is (-2 - -1)\/((-8)\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.3, 2\/7, -499?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42058596 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280849.\nAnswer: 163, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2264 (base 7) to base 11\nAnswer: -695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 111*c - 447 + 336 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*((-638)\/8)\/(-29). Let k(o) = o + 13. Give k(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14713 divided by -1?\nAnswer: 14713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s. Let k(f) = -45*f**2 + 18*f. Let v(b) = -18*i(b) + k(b). Let l(w) = w**2. Determine v(l(o)).\nAnswer: -45*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406 at least 1406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/5036222?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21704779 to the power of 1\/2, to the nearest integer?\nAnswer: 4659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 5, s: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n**2 - 1. Determine a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-4\/9)*r)*r*r)\/r**(-9)*(r\/(r*r\/(r\/r**(6\/5))))\/(r*r**(-2)) assuming r is positive.\nAnswer: r**(506\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 13 = -3*c, -3*c + c - h = -8. Suppose 3*z = z + 90. What is the smallest common multiple of c and 1*3 + z\/9?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 27, 25, 23, 21?\n\"Answer: -2*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40379 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**49\/(r**(-4\/7)\/r*r*r**0*r))\/((r*r**9*r*r*r\/(r\/(((r\/((r\/((r*r*r**(-7))\/r))\/r))\/r)\/r)))\/(r**(2\/19)\/r**(-2\/3))) assuming r is positive.\nAnswer: r**(37244\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-3\/8)*v*(v\/v**5*v*v)\/v*v*v**(3\/2)*v*v*v*(v\/(v\/(v**(3\/4)*v)))\/v*v*v**(-3\/5)\/v**5*(v**(-1\/4)\/v)**(-3\/4) assuming v is positive.\nAnswer: v**(17\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4515*t + 2. Let v(d) = 4507*d - 2. What is 4*b(x) + 3*v(x)?\nAnswer: -4539*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from oiipeipkpiihiiiiiik?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15, 5, -11, -33, -61, -95?\n\"Answer: -3*g**2 - g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 6*f**2 - 5*f + 6. Let z be (-6)\/9 + (-17)\/(-3). Let n be x(z). Let v = n - 1. Sort v, 4, 2 in descending order.\nAnswer: v, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 29 - 2. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) -4 (b) 3 (c) 6 (d) -142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564628060?\nAnswer: 2, 5, 28231403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + -212340130?\nAnswer: -212340034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*z = 15, -4*z - 25 = -2*g + z. Suppose g = -4*x + 7 + 13. List the prime factors of (-2)\/x*3*-5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from obbbobbbboobbobb. What is prob of sequence bbob?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 4*n + 0*n)*(-3*n**2 + 3*n**2 - 2*n**2) + 0*n**3 - 4*n**3 + 3*n**3 in the form x*n**3 + m + u*n + h*n**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 6:51 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6 - 28\/24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1593 and 1003?\nAnswer: 27081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i + 0*i)*(i**3 - 3*i**3 + 0*i**3) - 1 - 2*i + 1 - i**4.\nAnswer: 3*i**4 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 + 73*f - 63*f**3 - 45 - 74*f + 2*f**2 + 63*f**3 to the form g*f + j*f**3 + n + k*f**4 + h*f**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25270146 to the power of 1\/2, to the nearest integer?\nAnswer: 5027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/4 - -15\/4. Let u be -2 + 3 + -1 - (-36)\/(-54). Which is the nearest to u? (a) l (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + -4. Let j(s) = -s**3 + 2*s**2 + 5*s. Let t(x) = x**3 - 17*x**2 - 13*x + 21. Let r(f) = -2*j(f) - t(f). Is 36 a factor of r(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1957050 is divided by 75?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = 18. Let f be (-20)\/(3\/((-27)\/l)). What is the remainder when 11 is divided by (6\/(-5))\/(9\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noo when three letters picked without replacement from ppnnoponp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 8*n + 6. Suppose 6*d + 12 = 2*d. Let i = -3 + d. Let f(q) = q**2 + 4*q - 6. Let j be f(i). What is w(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 332906, 665946, 998986, 1332026, 1665066, 1998106?\nAnswer: 2331146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/6*(-3)\/(-4). Suppose 5*y + l = 2*y. List the prime factors of (10\/(-2))\/(1\/y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11567 + 7906. Let k = j - -2172. Let u = k + 12489. What is u rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4387548889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10139.\nAnswer: 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 4*a - 225 = 5*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*g = 5, 6*s - 4*g + 30 = g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 63878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -223, -463, -703?\n\"Answer: -240*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5528 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 - 301502115?\nAnswer: -301502214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6998403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19880.42 decades in millennia?\nAnswer: 198.8042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 802731 = 69*p - 1500420. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.05 (b) 0.3 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 92089237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -4*r - 7, 2*v + 3*r + 27 = -3*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -96*c**3 + c**2 + 2*c + 1. Let h be q(-1). Suppose h*x - 101*x + 145 = 0. What is the greatest common divisor of 145 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrarararasara. Give prob of sequence rrar.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 2*c**3\/3 - 1659. Let q(k) = 2847*k. Calculate q(i(p)).\nAnswer: 5694*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01394 to 4 decimal places.\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 28187, -2, -64, 3 in decreasing order.\nAnswer: 28187, 3, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68 or -3\/5?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 519128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 16*a - 20. Let g be (40\/(-8) - -4)*(18 - -1). What is the tens digit of q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 115889.87 and 3.3.\nAnswer: 115893.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = -4*v, -3*m + 3*v - v = -10. What is the first derivative of 1 + 2 + 0 - 26*q**m + 22*q**4 wrt q?\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 417 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -623*x**2 - 1486*x**2 - 2 + 2118*x**2 + 59*x.\nAnswer: 9*x**2 + 59*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 2*f**2 + 4*f - 3. Let y = -145 - -127. Let k(m) = m**3 + 17*m**2 - 21*m - 51. Let h be k(y). Calculate w(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-210)\/(-84)*56\/10. Let i be (-5)\/(-7) + 312\/c + -22. Let o be (-26)\/(-3) + (-1)\/(-3). What is the closest to i in 4\/3, o, -0.4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*n + 15 = -n, -23 = -3*o + 2*n. Suppose -20 = -8*z + 20. Solve -d - z = 2*y, d + 0 - o = 4*y for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1308224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/587245950 and 86\/528521355.\nAnswer: 5285213550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 15175.3 to the nearest 100.\nAnswer: 15200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 10, 6*t + 5*l = t - 65. Let v(x) = x**2 + 9*x + 10. Let i be v(t). Find the third derivative of -u**2 + 8*u**3 - 6*u**3 - 4*u**i - u**3 wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-218)\/3)\/(2\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 5) + -2 + (0 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2a955 (base 12) to base 16\nAnswer: -ead1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -364 - 2217. Let a = f - -2461.3. Round a to the nearest integer.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55480?\nAnswer: 2, 5, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 342 and 14212836?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 + 46*a**2 - 31*a - 292. What is w(22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -321034211 (base 6) in base 3?\nAnswer: -101122001121221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*g = 32*g + 6894. Let a = g + 531. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*v**2 + 0 + 33\/2*v.\nAnswer: -3*v*(v - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - 1. Suppose j = x*j + 6. Let p(n) = n**3 + 7*n**2 + 3*n - 3. What is the tens digit of p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 7*f**4\/12 + 7*f**3\/6 + f**2. Let z be r(7). Calculate the highest common factor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 h when four letters picked without replacement from hhhhtthhtthhthhhhh.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 - 40 + 11*d**3 - 47.\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o - 27. Calculate w(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:08 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 13*d**2\/2 + 18*d - 10. Let x(g) = 2*g**2. Give x(j(r)).\nAnswer: 338*r**2 + 936*r + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 3*z - 13. Let r be s(-3). Suppose -w + 7 = b, 31*b - 28*b + r*w - 31 = 0. Solve 16 = -4*o - b*f, 0 = -0*o + 4*o - 2*f + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 1\/((-14)\/(-22)). Let g = 4.05006 + -0.05006. Sort g, 2\/9, t, 2\/13 in descending order.\nAnswer: g, t, 2\/9, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 3*q. Let h be b(3). Suppose 4*v - 6*v = h. Suppose -3*y + 1 + 8 = v, -1255 = -2*d + 5*y. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w**(3\/7)*w)))\/w)**(-7)\/(w**(5\/3)\/w**3) assuming w is positive.\nAnswer: w**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 692685 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1195334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 834433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -5\/4, -12 in descending order.\nAnswer: 0.2, -5\/4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 - 2*b**2 + 6*b - 4 - 4. Suppose 0 = 522*d - 520*d + 14. What is g(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4 + -6*sqrt(3)).\nAnswer: 20 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1064009\/4800 - 3\/1600. Let y = -199 + w. Calculate the common denominator of y and -46\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 - 2*g**2 + 46*g**2 + 8*g**2.\nAnswer: 55*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 8) to base 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*o + 17*o + 4*y - 20651, 4*y + 8238 = 2*o. Calculate the remainder when o is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 11:13 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(6 + -19) - (1 + 3). Solve -3*i - p = -2*x, -x = -2*i - 26 + 21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 66*s**2 - s - 1. Let l be y(-1). Suppose 11*d - 39 - 5 = 0. Suppose 3*j - 4*j - 3*m = -6, j + d*m = 6. What is the highest common factor of l and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/(-3))\/((-22)\/165*(-245)\/147).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 36\/(-10)*(-10)\/3. Sort -5, 0, q in descending order.\nAnswer: q, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.5 and -4617.\nAnswer: -30010.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - k - 1. Suppose -2*c + 2*i + 9 = -3*c, 4*c = 3*i - 3. Let m = -29 + 30. Let r be (-6)\/c + (m - 1). Give z(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/9 - 76*f**4\/3 + 722*f**3.\nAnswer: 2*f**3*(f - 57)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012.97 rounded to the nearest 10?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.7 - -7.8. Let b = 10.5000083 - n. Round b to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 13*f + 42. What is j(-19)?\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:14 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -315*q**2. Let m(c) = 823*c - 14. What is m(h(u))?\nAnswer: -259245*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9218.831km to nanometers.\nAnswer: 9218831000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1041064 + -2?\nAnswer: -1041066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t**5 + 3*t**3 - 3*t**2 + 3. Let a(i) = 0 - i**4 - 64*i**5 - 4 - 3*i**3 - i**3 + 4*i**2 + 71*i**5. Let l(q) = -3*a(q) - 4*g(q). Factor l(d).\nAnswer: 3*d**4*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19981?\nAnswer: 13, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3606*o + 477993. Give p(-133).\nAnswer: -1605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qryrqriqiqbitr. What is prob of picking 3 i?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*z - 53, -2*b = -0*b - 5*z - 15. Let t be (-34)\/b - -1 - -2. Let d = 5 - 5. Which is greater: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.2132785 rounded to 2 decimal places?\nAnswer: 7.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 2*l + 108. Let h(a) = a**3 + 6*a**2 + 4*a - 2. Calculate the remainder when l is divided by h(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**7\/1365 - 2*r**6\/195 + 23*r**5\/390 - 7*r**4\/39 + 4*r**3\/13 + 99*r**2. Let w(f) = 0. What is f?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/9)\/((-2)\/(-3)). Suppose -38*i + 33*i + 60 = 0. Let o be (-100)\/30*i\/(-10). What is the greatest common factor of m and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139262.32404 plus -3?\nAnswer: 139259.32404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -81*n - 324. Determine u(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -90, -15, 1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 109758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 - 0.2. Let j be ((1 + 0)*2)\/10. Sort w, -1, j.\nAnswer: -1, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.876 - -0.124. Is -5 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 + 15*s**2 - 4*s - 13. Let a be q(7). Suppose a*y - 15 = 1. Suppose -3*r - 6 = 0, -y = -v - 4*r - 67. Round v to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1896)\/48*7\/((-42)\/4)*3?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -0.4 (b) 1\/6 (c) -8 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (298*g + 55*g + 319*g - 148*g)*(-4 - 1 + 0) in the form a*g + w and give a.\nAnswer: -2620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 39*y - 19*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 23*j**2 - 48*j - 43. Let z be m(25). What is the greatest common factor of 77 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/39 and -14\/377.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12851\/12 - 1080. What is the common denominator of n and 5\/(-18)*(-284)\/(-20)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0977 + -0.4023. Let q be (-39)\/18 + 2\/3. Which is the second biggest value? (a) 4 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -82435749\nAnswer: -8\/82435749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6076 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5 = -q, 0 = 1876*q - 1878*q + 14*v for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 - 2*a**2 - 4*a - 1. Let d = -4765 + 4768. Determine o(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 89510159*b - 220163255 with respect to b.\nAnswer: 89510159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 3:30 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8)*(-16)\/(-6). Let y be 8 - ((-384)\/(-63) + (-21)\/((-147)\/4)). Factor -2\/3*n**2 - l - y*n.\nAnswer: -2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 times 8.62898\nAnswer: -86.2898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*b = 58 + 20, 2*f = 3*f + 32*b - 31*b + 27 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (-39 - (-29 - -12)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1541343507 to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10*o - 60 = 0. Which is smaller: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + h = -g + 4, -3*h - 3 = g. Let d = g - 1. Suppose 2 = 3*p + o + 4*o, p = d*o + 19. Solve 11 = -2*w - 5*k + 1, 5*w + 4*k = p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 37*p + 31. Let x be u(-9). Let r = x - -304. Solve -4*z - 12 = r*h - h, 0 = -z - h - 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 3:03 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -908*u + 23382 + 12030 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(3 + -1)*(-4)\/(-4). Suppose -a - 3*a = 0. Let m = 0 + a. Solve 0*s - p*s = m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/28 + 285\/(-21). Let b be (-4)\/w + 42000006\/(-21). Round b to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3812 bigger than 842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3*n - 48882*c**2 - 6*c*n - 882*n + 54 wrt c?\nAnswer: 12*c*n - 97764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 8) in base 15?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 681*h. What is the units digit of p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2956 (c) 1 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -10. Let h(m) = -8*m**2 + 62. Let k(w) = -21*w**2 + 167. Let u(i) = 8*h(i) - 3*k(i). Give u(c).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/16)\/(n*(n\/(n\/(n\/n**(-1))))\/n))\/(n**0)**(3\/2))\/(n**(-3)\/n**(-1\/2)*(n\/(n\/n**(-1\/5)*n))\/(n**8*n)) assuming n is positive.\nAnswer: n**(861\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, -18, -10, 0, 12, 26?\n\"Answer: y**2 + 3*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(6\/(-18)) - 7. Is 5 a factor of (980\/16 - g) + 2\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 1. Let b(t) = 16*t**2 + 6. Let l(y) = -2*b(y) - 36*c(y). Differentiate l(g) with respect to g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.114 + -378.886. Let d = 378.8 + s. Let g = -2 - -2.4. Put -0.1, d, g, -1\/2 in increasing order.\nAnswer: -1\/2, d, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*q - 12 = 0, 3*h = h - 2*q + 8. Suppose 0*p + 3*p + 60 = 0. Let t be (-1)\/(4\/p) + -3. Solve -h*i = -t*x + 22, -2*i + 4*i + 13 = 5*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -3*w - 15, -3098 + 3094 = f - 2*w for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-182)\/(-14) - -5 - -905. What is the greatest common divisor of l and 2840?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1743140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/5)\/((2673\/(-405))\/33)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 212 + -200. What is the highest common factor of o and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*c + 3*n - 15 = 0, -5*c - 5*n + 15 = 0. Let m = c + 199. Suppose 0*z + m = 2*z. Calculate the highest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3 - 2 + 3*s - 11*s - 2. What is the remainder when 59 is divided by d(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 132 = -v - 37, v - 73 = -3*i. Solve i*s + 52 = -4*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -805156 to the nearest ten thousand.\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, o: 2, y: 2, s: 5, c: 2}. What is prob of picking 2 y?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 2832 = 360. What is the highest common divisor of 560 and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 184*r + 4 + 1 - 183*r. Determine y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -8, -26, -52, -86?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 5:15 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6026 != 6027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l. Let m(o) be the first derivative of 8\/3*o**3 - 3*o + 3\/2*o**2 + 10. Let n(d) = -15*d**2 - 5*d + 5. Let a(i) = 5*m(i) + 3*n(i). Determine z(a(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823676 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21285, 42495, 63633, 84699, 105693, 126615?\n\"Answer: -36*g**2 + 21318*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 92 = -4*s + 2*g, 3*g = -2*s - 81. Let j be (s\/(-22))\/((-2)\/(-4)). Solve -1 = j*i + 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2084 divided by 13607?\nAnswer: -2084\/13607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -16. Let n = w + 26. Solve -21 + n = 3*m - 4*p, 0 = 5*m - 3*p + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 1\/21*y**7 + 0*y**2 + 0*y**5 + 0*y**6 - 1\/12*y**4 + 0 - y + 0*y**3. Find the third derivative of j(z) wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*c + 3*c. Let u = 730\/7 - 104. What is the nearest to u in c, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -48765*f**2. Let r(s) = 5*s**2 + 1. Give r(o(d)).\nAnswer: 11890126125*d**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1848789\/130 - -117574\/13. Let c = w - -5187. What is the common denominator of -41\/10 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-9) - (-16)\/72. Let d(l) be the first derivative of -20*l + 6 - 15*l**3 + 32*l + 18*l**2 + 1 + 3*l**k. Solve d(a) = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/9 of a day?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.02 (b) -0.2 (c) 0.33 (d) -0.03 (e) -969\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - (-9 + -14) - (1 - (2 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**7\/525 + 97*w**6\/300 - 767*w**5\/50 - 2597*w**4\/60 + 4802*w**3\/15 + 991*w**2. Let a(v) = 0. Calculate v.\nAnswer: -2, 1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44493.43 grams to micrograms.\nAnswer: 44493430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 280 + -3082\/11. Let l = -25.6 + 43. Let a = 22.4 - l. What is the closest to -0.1 in a, v, -3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 385441, 385449, 385447, 385429, 385389?\nAnswer: 385321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(78)*-3*6)\/(2*sqrt(864)*-4).\nAnswer: -3*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/(x*x**(-2)))\/x*x)**(-50)*(x*x*x**(1\/4)\/x)\/(x*x\/(x**(-1)*x)))**(1\/9) assuming x is positive.\nAnswer: x**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1189*n + 41319 + 60213 - 7601 for n.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -238 and -239 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -260, -3, -33, 3, 43 in descending order.\nAnswer: 43, 3, -3, -33, -260","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 658, 8.\nAnswer: 1, 8, 658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 10. Let y be q(10). Suppose m = -0*m + 2*n + y, 3*m - 262 = -2*n. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.5 + -2. Let b = l + -17.7. Let d = -32 - b. Is 1.2 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1208*-6\nAnswer: 7248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of f**2 + 4*f + 26. Let s be c(3). Solve -5*z = -s - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212321 (base 5) in base 2?\nAnswer: 1110000101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 = -102*m + 53. Which is the closest to 11? (a) 5 (b) m (c) -20\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + -30?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4179808 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 10341467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4265060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2123 + 42433\/20. What is the common denominator of (-513)\/70 + (-4)\/(-10) and n?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12986429.\nAnswer: 47, 83, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 72*r - 58*r. Solve 5*o - 35 = -5*t, 4*t - 8*t = 2*o - r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -112, -117, -122?\n\"Answer: -5*g - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.3 - 5.7. Is r bigger than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 52?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361 + 100 = f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (174\/29*380\/304)\/((1\/(-6))\/1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-1 - 1\/2). Suppose s*i - 2 = -2*c + 2*i, -4*c - i + 8 = 0. Solve 2*x - 2*l = 0, -4*l = c*x + x - 32 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011010000 (base 2) in base 9?\nAnswer: -5812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*s + 6 = -0*f, 0 = 2*f - 3*s - 17. Let y(p) = 47*p**2 + p + 2. Let h be y(-1). Let j = h + -49. Sort f, -2, j in descending order.\nAnswer: f, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xggcqalx. What is prob of sequence ql?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -51.222 (b) 0.3 (c) -14 (d) -146\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-272)*(-1520)\/(-1140)*-6*(-2)\/3.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6270 divided by 570\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*m + 3832 - 84*m**2 + 72*m.\nAnswer: -84*m**2 + 3832","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 5*s + 0*s)*(0*s + 6*s - 2*s).\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, t: 3, p: 1, j: 4, l: 2}. Give prob of sequence ff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((-4)\/18) - 2. Let f = g + -1. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1236, -1274, -1338, -1428, -1544, -1686, -1854?\n\"Answer: -13*r**2 + r - 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*q - 313 + 692 + 567 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3*d - 13, -3 = 2*n - 5*d - 6. What is the remainder when 12 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -2 + 3\/20*i**4 - 4\/5*i**3 - 6\/5*i + 3\/2*i**2. Factor u(z).\nAnswer: 3*(z - 2)*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*k - 8*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)\/sqrt(7))\/sqrt(11) + sqrt(3) + -1 + 4 + 1)**2.\nAnswer: 16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -494400, -1977562, -4449498, -7910208, -12359692?\n\"Answer: -494387*m**2 - m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262397?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - y - 6 = 15, -4*q = 3*y - 15. Suppose 3*p - 2 = -5. Let o be (4\/q)\/p*4350. What is o rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71864 - -159377. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 5*p - 2. Let o be k(4). Let u(z) = o*z + 3*z - 7*z. Let s(m) be the second derivative of m**3\/6 - 3*m. What is s(u(i))?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2035292 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 11*u**2 - 4*u + 32. Let t be w(10). Let l = 24 - 20. Solve 8*z**2 - 89 - 4*z - t + l*z**3 + 173 = 0 for z.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let r(a) = a**3 - 5*a**2 + 4*a + 3. Let x be r(4). Let p(n) = -x*n + n + 9*n. Determine p(o(j)).\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = -5*x - 193. Let c = 57 + x. Solve -h - h**2 + 21*h**4 - 34*h**4 + h**c + 14*h**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3703, -5156, -7683, -11284, -15959, -21708?\nAnswer: -28531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4615612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, r: 3, c: 2}. Give prob of picking 1 r and 2 s.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**3 - 119*p**2 + 3*p + 6 wrt p.\nAnswer: -6*p - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**5\/20 + a**2. Let s(o) = -2. Let t(k) = -k**2 + 9. Let l(m) = -9*s(m) - 2*t(m). Determine l(n(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 2*y - 4. Let b be v(4). Suppose -6*o - b = -11*o. What is the third derivative of -36*m**2 + 11*m**2 - 3*m**o + 19*m**4 wrt m?\nAnswer: 384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1282, -5397, -12012, -20929, -31950, -44877?\nAnswer: -59512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4990*j + 14 - 29 + 15.\nAnswer: 4990*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -462 - -625. Let i = h - 152. Sort i, -1\/2, 0.5 in decreasing order.\nAnswer: i, 0.5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 116, 15, 29, -4, 5, -7 in descending order.\nAnswer: 116, 29, 15, 5, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 2. Put 2, 8, z in ascending order.\nAnswer: 2, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.186 + -2.396. Let p = -2060741 + 2060738.789774. Let v = n - p. Round v to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28328427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -3744.112.\nAnswer: -3743.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z - 3*q = 37*z - 29, -z - q + 88 = 77 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 - 283 = -5*u. Let n = 96 - u. Let v = 7 + n. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -11460*g + 11491*g - 1502 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5 + 0 + 6*n - n**2 + 2*n**2 + 1. Let o be k(-4). What is the units digit of o\/(-3)*(-15)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-79) - 85519\/1501?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*p + 4*p + l, -4*l + 6 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -29 (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 98*c**2 - 97*c - 46. Let g be l(-48). Solve -11*r + 42 = -g for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*a + 2*j - 5 = -365*a, 3*j + 25 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 14*k - 31. Let m be z(16). Suppose h = 16 - 10. Sort h, m, -4.\nAnswer: -4, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -2*(-2)\/(-2). Suppose 122*j = 119*j + 96. Solve -p = 2*b + 16 - z, 4*p + 3*b + j = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (146 - 19*q - 146)*(-2 + 2 - 2) - 2*q - 2*q + 2*q as m*q + g and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 2*r + 10. Let q be t(-4). Factor -1\/5 + 4\/5*m + m**q.\nAnswer: (m + 1)*(5*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4.12. Let i = 39311 - 39311.1. What is the second biggest value in c, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8809 is divided by 4358?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2 + 3289404*k + 3289400 = 0. What is k?\nAnswer: -822350, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 13501294498?\nAnswer: 13501294497.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/32241 and 53\/32241.\nAnswer: 32241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(10\/(-12))*4\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 - -113. Let u = 53.16 - i. Let p = 0.34 + u. Round p to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 9*r**2 + 26*r + 13. Let s be t(-17). Let a = s - 191259. Round a to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(304) - sqrt(304))**2 + -5.\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.09834 + 0.0221. What is z rounded to three decimal places?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.06 smaller than -10.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 - 3\/(-9). Let t = 2 + q. Let i be 2 + 1 - (-2 + 3). What is the greatest common factor of i and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3603, 2, 1, 447 in descending order.\nAnswer: 447, 2, 1, -5, -3603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - 15*u**2 - 14*u + 2. Calculate g(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (198*b + 102*b + 20*b)*(-b - b - 4*b) + (-5*b + 2*b + 5*b)*(0 + 0 + 2*b).\nAnswer: -1916*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1361 - -1402. Solve u = -18*j - 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302223 or 10577817\/35?\nAnswer: 302223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1713 + -1627. Calculate the remainder when 1459 is divided by x.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158675616?\nAnswer: 2, 3, 11, 50087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -5 + -1 + 8. Let a(c) = 4*c**2 - o*c**2 - c + 2*c**2 + 4. Let x be a(0). Let h(b) = b - 8. What is h(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338593043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 1:53 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v**(14\/11))*((v\/v**(-30))\/v)\/v assuming v is positive.\nAnswer: v**(305\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8 and -0.99581.\nAnswer: 2.788268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 20*v**2 + 19*v - 2. Let x be j(19). Let l be 8 + 26 - (1 - x). Suppose -l*u + 34*u = 504. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328985*t**2 + 1073404*t**2 + 2170553*t**2.\nAnswer: 3572942*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224778 - r + 0*r - r + 224795.\nAnswer: -2*r + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2)*333\/(-777)\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a kilometer in meters?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/4)\/(v\/((((v*v**1)\/v)\/v)\/v)))\/(v**(-4)\/v*v**(-3)) assuming v is positive.\nAnswer: v**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -16*y + 4. Let s(n) = -6*n + 1. Determine 7*s(b) - 2*z(b).\nAnswer: -10*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from {s: 1, d: 2, l: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32494302 to the power of 1\/2, to the nearest integer?\nAnswer: 5700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 9370?\nAnswer: 56220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f**2 + 2*f - 1. Let q be r(1). Suppose -n - 2*n = -q. Let v = 9 + -12. Which is the third smallest value? (a) v (b) n (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/139?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 136\/(-10812)*33\/22\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 25*m**3 - 25*m**2. Let h(d) = -68*d**3 + 77*d**2 + d. Calculate 4*h(q) + 11*k(q).\nAnswer: 3*q**3 + 33*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13179, 13177, 13173, 13167, 13159, 13149, 13137?\n\"Answer: -r**2 + r + 13179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -16*x**3 - 38*x**2 + 22*x - 17. Let h(t) = -5*t**3 - 13*t**2 + 8*t - 6. Let i(y) = -11*h(y) + 4*w(y). Find the third derivative of i(u) wrt u.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54418 - -19628. What is k rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 7662220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2\/13 + 5734*v\/13 - 489104\/13 = 0?\nAnswer: 88, 2779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*r - 36, -w - 709 + 697 = 3*r. What is the nearest to 1 in 2\/17, 0.24, w?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (395\/210 + 2\/(-12))\/(670\/(-11725)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20601989 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*j = 394*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 < 90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**28\/k**(-15))\/(k**(-12\/5))**(-3\/11) assuming k is positive.\nAnswer: k**(2329\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -164.8 + 165. Which is the smallest value? (a) 1 (b) -5 (c) w (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*l - 71, -453 + 396 = 4*h - 5*l. Let -1\/2*z + 0 - 1\/4*z**h = 0. What is z?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885*h + 321 = -93 - 6666 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2770.2 + 2660. Round o to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 131.2918 and 344?\nAnswer: 212.7082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -512 + 512 - 5*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203 divided by -27218.\nAnswer: -203\/27218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oiio when four letters picked without replacement from {i: 7, o: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4808717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 + 138\/(-7). Suppose 26 = -2*f + 2*g + 2*g, 13 = -f - 4*g. Let z = f - m. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, 20, 1, -2\/11, -1 in decreasing order.\nAnswer: 174, 20, 1, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 + -3 + 3\/(-4). Let b(r) = -r**2 - 3*r. Let j be b(-2). Let f(s) = -5*s**j + 2*s**2 + 5*s + 4*s**2 + 1. Calculate f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35*(-37)\/(-259) - (0 + 246\/(-50))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3525, 3496, 3467, 3438, 3409?\n\"Answer: -29*v + 3554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-5)))\/n)\/(n*n**(-2\/9))*(n\/(n*(n*n*n**(-3\/4))\/n*n))**(-48) assuming n is positive.\nAnswer: n**(569\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 3 - 13 + (0 - 1 + 0)*(-3 + 2 + 0) + 3 - 6 + 1)*(3 - 1 - 4)*(-1 + a + 1) as w*a + n and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(468) + (sqrt(13) - (sqrt(325) + 0)) + (4 + sqrt(13)*-1 + -1*sqrt(52)\/sqrt(4))**2 - ((sqrt(91) - -1*sqrt(91)*-3)\/(sqrt(63)\/(sqrt(9)*-2)))**2*5.\nAnswer: -972 - 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(121)\/(sqrt(55)\/(sqrt(5)*-2))*5*6 + 1)**2 + -1.\nAnswer: -600*sqrt(11) + 39624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 - (2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, z: 1, h: 2, l: 4, y: 3, k: 3}. Give prob of sequence yzy.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2. Let n be 6\/51 + (-3158)\/(-34). Let o(h) = -93*h + 24*h**2 + 22*h**2 + n*h. Determine o(l(m)).\nAnswer: 46*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5\/3 + 152*u**4\/3 - 2893*u**3\/3 + 18950*u**2\/3 - 45868*u\/3 + 36680\/3 = 0?\nAnswer: 2, 7, 10, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/12 + 2*b**3 - 4*b**2 - 31*b + 10. Give o(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 - -6102021?\nAnswer: 6102030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -25*n**2 - 11*n. Let k(z) = -27*z + 59*z - 16*z - 17*z. What is h(k(f))?\nAnswer: -25*f**2 + 11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01539 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 + -25. Suppose 1 = 2*z + 5*p - u, -3*p + 28 = 4*z. Suppose 0*c = -z*c + 48. What is the least common multiple of c and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 + -3. Let i be (-3)\/12 - o\/4. What is the highest common divisor of i and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 41915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/4 and (-50)\/(-12)*81\/(-90) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*t**5 + 10*t**5 + 15*t**5 + (2*t**2 + 1 - 1)*(-4*t**3 + 0*t**3 + 3*t**3) + 0 - t**5 + 0 + (t**2 - t**2 - t**2)*(-3*t + 3*t + 2*t**3).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -12, 2, -0.5, -0.1 in decreasing order.\nAnswer: 2, 0.5, -0.1, -0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70 and 116190840.\nAnswer: 813335880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 6*q**2 + 3*q + 12. Let d be l(6). Factor d*u + 26 + 2*u**2 + 25 - 6 + 3*u**2.\nAnswer: 5*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117919*j + 189664 - 189664.\nAnswer: 117919*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1664\/17 + ((-12)\/(-102))\/1. What is the greatest common factor of q and 1960?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a5b63 + 15a?\nAnswer: a6101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 112267157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -20*x - 36. Suppose 0 = -31*r + 25*r - 42. What are the prime factors of d(r)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -1\/4*b**4 + b - 2*b**3 + 1 - 5\/2*b**2. Give t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1080.688541 and -10912?\nAnswer: 9831.311459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than 12305509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -15. Let j be (352\/i)\/(-4) - 4. Let f = j - 35. Solve 8 + 17 = -f*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178500667.\nAnswer: 1178500667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 9*h**2 - 3*h + 6. Let v(r) = 2*r**3 - 17*r**2 - 7*r + 12. Let s(z) = 3*v(z) - 5*y(z). Let p(m) = -m**2 - m + 1. Calculate -6*p(n) + s(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9442 - -9446. What is the smallest common multiple of 5217 and c?\nAnswer: 20868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 2494.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -8, 217*s + 83 + 131 = 4*o + 102*s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -254, 0.4, -0.2.\nAnswer: -254, -5, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqyyyyysysssv. What is prob of picking 1 s, 1 y, and 1 v?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26062c (base 13) in base 2?\nAnswer: -11011111011000111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7927.\nAnswer: 7927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 times -0.3\nAnswer: 0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -222\/13, -2, 0.65, 3, -6, 0 in increasing order.\nAnswer: -222\/13, -6, -2, 0, 0.65, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**2 - 220026*g = 0.\nAnswer: 0, 110013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19135, 19160, 19211, 19300, 19439, 19640, 19915, 20276?\nAnswer: 20735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 270, 202, 4, -390, -1046, -2030, -3408?\n\"Answer: -11*t**3 + t**2 + 6*t + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 389867243?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 45*g**2 + 506*g - 34. Calculate a(24).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 r, 1 h, and 1 j when four letters picked without replacement from {r: 1, j: 1, h: 4, n: 1, d: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 520899, 520895, 520887, 520875?\n\"Answer: -2*a**2 + 2*a + 520899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/122649279?\nAnswer: -1\/122649279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100887, 398618, 894837, 1589544?\nAnswer: 2482739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 7:17 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94910071.\nAnswer: 103, 921457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 848.2205 hours to minutes.\nAnswer: 50893.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -158, -308, -586, -1016, -1622, -2428, -3458, -4736?\n\"Answer: -4*z**3 - 40*z**2 - 2*z - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 361?\nAnswer: 37\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1000011100001001 (base 2) to base 6\nAnswer: -424013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*z + 437 + 718 = 26*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3943967 + -1823966. Suppose -k = -4*z + l, z + 0*z - 4*l = 530004. Round z to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(6*(sqrt(675) + (sqrt(675) - (sqrt(675) - 1*sqrt(675))) - sqrt(27))\/sqrt(9) + (-1 + 4*sqrt(147)*2)**2).\nAnswer: -9409 + 58*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/((-231)\/28). Let g be (-36)\/28 + (1 - 0). What is the second smallest value in s, -4\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 - -81.2. Suppose 4 = -12*h + 14*h. Let a(z) = -z**3 + 4*z - 3. Let k be a(h). What is the third smallest value in k, -2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.9 + 13. Let k = -0.3 - h. Let x = 2.4 - k. What is the second biggest value in 0.4, x, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4665045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1259.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1344)\/(-640) - 6\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.77 - -0.77. Sort o, 4, -5, -4\/7.\nAnswer: -5, -4\/7, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/285? (a) 1 (b) -4 (c) -2\/7 (d) -5 (e) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1325)\/(-53))\/(250\/(-125))\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k - 16 = -l, -3*k + 72 = -3*l. Let q(o) = -13*o - 5. Let j be q(2). Let n = -29 - j. Solve -2*p + k = -3*x, -n*p - 4 = 4*x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 8*w**2 + 10*w + 12. What is the tens digit of v(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/18 and 28\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 11 = l + 2*h, -3*h = -l + 23. Suppose 0*i = i - 35. What is the remainder when 182\/i*l\/2 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 + 43*b - 32. Determine w(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*c - 3*c. Suppose 0 = -a - 0*a - s, -3*s = -2*a + 25. Suppose a*m - 15 = c*m. What is the highest common factor of 35 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*v - v - 48 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 6*r + 12 = 3*a, 13 = 3*r + 4*a for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = l - 27, 22 = 37750*l - 37739*l + 2*z + 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/10)*i**(-1\/15)*i)**(4\/3))**(-1\/50) assuming i is positive.\nAnswer: i**(-31\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74583384?\nAnswer: 2, 3, 433, 7177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -43\/7, 1\/2, 0.2 in ascending order.\nAnswer: -43\/7, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3*n - 3*n)*(-2*n**2 - n**2 + n + n**2).\nAnswer: 10*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 30 + 18. Factor -28 + 22 + p*l - 10 - 4*l**2.\nAnswer: -4*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a - 19 = -229 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1327, 1101, 875, 649?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-6))*l\/(l*l\/(l\/((l*l**(-9))\/l)*l)))**(33\/7)\/((l*(l**(-2\/5)*l)\/l)**(-29))**(4\/7) assuming l is positive.\nAnswer: l**(144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/8080 and -107\/4631860?\nAnswer: 18527440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -6 (c) 0.15 (d) -1\/7 (e) -0.9 (f) -26\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3 + 65*w**2 - 34*w**2 + 1 + 4*w - 1. List the prime factors of z(-1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((264\/(-16))\/33)\/(5\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000009300706 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4107.6 - 4106.6. Let l be (-9)\/40 + (-2)\/5. Sort l, -0.5, c.\nAnswer: l, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = 4*i, 0*u + 1 = i + 2*u. Suppose 9*p - 3 = 4*p - 3*g, 5*g = 3*p + i. Let n be -8 + 8 - 1\/3. Are p and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*u + 24, 4*u = 3*w + 2*w + 5. Let z = 6 - w. Solve 0 = g + z*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 1842549?\nAnswer: 8\/614183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1588 divide 112316064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 40*i**2*s**3*z**3 + 1079*i**2*s*z - 31*i**2*s - 3*i*z + 6318*s**3 - s*z**3 wrt s?\nAnswer: 240*i**2*s*z**3 + 37908*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 75. Suppose 2*w - 6 = 0, 4*c - 4*w = -2 - 22. Let b = x - c. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -26 + 8*g - 32 - 35 + 95. What is v(-5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 415575449 and 53307?\nAnswer: 5923","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 1681 - 7153 = 0. Suppose h - 4*y = 1814, -y - 2*y + x = 3*h. Let r = h - 7355\/4. Calculate the common denominator of 48 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 10 - 12*y - 10.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47718007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*v + h - 13 = -140*v, -3*v + 29 = 2*h for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0603401 to 5 decimal places.\nAnswer: -0.06034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/8 (b) 1\/6 (c) -4 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*m + 37*m + 35*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.3? (a) 1\/5 (b) 1\/3 (c) 3\/4 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209009014?\nAnswer: 2, 3307, 31601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxx when three letters picked without replacement from xqvotxxqvqttott.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 360?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -425 - 4?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.154214602873 less than 0.3?\nAnswer: 0.454214602873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6690511 minutes in seconds?\nAnswer: 40.143066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**1)\/k**(-21) assuming k is positive.\nAnswer: k**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)*-3)\/sqrt(6).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 2, h + 8 = -4*h + 3*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(408\/80))\/((2\/15)\/(-1))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1426 + -682. Suppose 4*s - 204 = l. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33, -3, 1\/9, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - 19. Suppose 0 = d*x - 18 + 3. Solve j + 2*v - 4 = 0, x*j + 0*j - 2*v = -16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49649701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2366 or 2364?\nAnswer: 2366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = n - 17, -4*g + 54 = -2*n. Suppose -3 + g = 2*i. Let u(h) = -2*h + 10. Let q be u(i). What is the third smallest value in -0.2, 4\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from bobkrkoocpoboboororr.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.97 + 0.03. What is the nearest to 0 in -0.03, 0.3, c?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*o - 16, -5*h + 39 = 3*o + 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 - -1.39. What is q rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-6)\/(-8))*3. Put q, -3, -1 in increasing order.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7576359 divided by -7.\nAnswer: 1082337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*q**2 - 7*q**2 - 3*q**2 - 5*q)*(q - 6*q - 6*q)*(-28 + 10 + 9) to d + t*q**3 + i*q + y*q**2 and give y.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 5*n**2 - 3*n + 4. Let f be u(-4). Suppose 4*o - 6 - 2 = f. What is the second derivative of -2*t + t**2 - t**o + 2*t**3 wrt t?\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1aa444 (base 14) to base 6\nAnswer: 32211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17682)\/(-3368)*(-12)\/21.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-1)*152\/6. Let l = z + 16. Suppose 3*o + 9 = -2*s + l, s + 4*o = 49. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a. Let z(x) be the first derivative of x**5\/60 + 13*x**3\/3 - 13. Let u(w) be the third derivative of z(w). Determine l(u(m)).\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*5*-6 - sqrt(49)\/(sqrt(77)\/sqrt(11)).\nAnswer: -31*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m + 2*i + 32 = 0, -i + 17 = -2*m. Let w(s) = -s - 9. Let j be w(m). What is the remainder when 59 is divided by (-111)\/(-9) + j\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 + 18*l**2 - 8*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 529777670*f**4 - 365079921 wrt f.\nAnswer: 2119110680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -11. Solve -3 = w*g + 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(117) + 4 + (-4*sqrt(13)*2 - (sqrt(13) + 0 + (sqrt(13) - (sqrt(13) - (sqrt(13) + (sqrt(52) - sqrt(13)) - sqrt(13)))) + sqrt(13)))**2.\nAnswer: 3*sqrt(13) + 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z + 7*z**2 + 6*z + (4*z**2 - z**2 - z**2)*(2 + 1 - 4) + (2 - 7 + 0)*(-5*z**2 - z**2 + z**2).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 45 = 2*b, -5*b + 1755*t - 36 = 3524*t - 1765*t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5606.\nAnswer: 2, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 6*m**2 - 41*m + 20. Let x(g) = -13*g + 3. Let u(b) = 2*b - 4. Let y be u(1). What is the remainder when x(y) is divided by w(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141630248.\nAnswer: 2, 17703781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -10*u + 55*z - 4569, -413 = u - 5*z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eewyeeweeye. Give prob of picking 1 y, 1 w, and 1 e.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/14*168\/(-48). Let t = 14 - a. Let m(q) = -35 + 19 + 16 + t*q. Let y(z) = 13*z. Determine m(y(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-100)*10 + -2 + (0 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*k + 2 = -6, 3*k = 3*w + 3. Let d be ((-2)\/(-4))\/(w\/(-88)). Calculate the greatest common factor of d and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 2235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + 5*sqrt(2)*-3*-5 - ((2*sqrt(8))\/sqrt(4) - (sqrt(36)\/sqrt(2))**2)).\nAnswer: 27 + 73*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -22396245.7.\nAnswer: -67188737.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, 6, 68, -1, 5 in decreasing order.\nAnswer: 68, 6, 5, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 165312500 to the nearest one hundred thousand.\nAnswer: 165300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - a + 1. Let i(d) = 119*d**2 - 4*d + 3. Calculate -i(x) + 4*t(x).\nAnswer: -123*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.17 + 194.83. Let d = -185.9 + s. Round d to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - 39. Let a = j + 150. Let w = -61.9999985 + a. Round w to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*i - 7*i - 8*i + 8*i)*(2 - 4 - 15)*(20 - 20 + 12*i) as v*i + u + y*i**2 and give y.\nAnswer: 3264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 100 - 37 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2523\/56 + 357\/8. Which is the closest to 2? (a) -1 (b) 0.1 (c) s (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/10*50\/(-75).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 22. Determine s(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2549498.1488 to the nearest 10.\nAnswer: -2549500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3, -1\/2, 2, -2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/5 (b) -4 (c) -0.4 (d) -20 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssyyyyyssysssyyysyys. What is prob of sequence ssyy?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -522 * -29\nAnswer: 15138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56229879 to the power of 1\/2, to the nearest integer?\nAnswer: 7499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 8:30 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2524561 and -0.01.\nAnswer: 0.002524561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 + 1.97. Let u be 11\/(-5)*1 - -1. Let h be -3 - 0 - -2 - 0. What is the nearest to b in 2\/3, h, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.3499548 nanograms?\nAnswer: 0.0000000000003499548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 75737151 and 1038.\nAnswer: 151474302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Let j be x\/4 + (-1 - -90). Suppose a = 3*o + 65, -2*a - 3*o - o + j = 0. Is 20 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/13)\/m)**(-21)*(m**(-8))**40 assuming m is positive.\nAnswer: m**(-4076\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22332*o**4 + o**2 - 342 wrt o.\nAnswer: -535968*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 33. Solve k - w = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -1.366633025?\nAnswer: -1.866633025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11916092521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.92 - 2.284. Let f = r - -0.664. Which is the nearest to 1? (a) 3 (b) -9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 5, g: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*t - 778*t - 178*t = 7616 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.3, 1\/26, -0.2, 3883 in decreasing order.\nAnswer: 3883, 4, 0.3, 1\/26, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 + 20 + 19*u**2 + 2*u**2 + u**2 - 4*u**2 + (0 + 0 - u)*(-3*u + u + u) + 2*u**2 + 0*u**2 - 4*u**2 - 2 + 2 - u**2 - u**2 + 2*u**2 - u - 1 - 2.\nAnswer: 17*u**2 - u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 5. Let g = -3 + l. Which is smaller: g or -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -420*i - 1670. Calculate the remainder when 23 is divided by x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2216860 (base 11) to base 5.\nAnswer: -1443421020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**3 - 100*n**2 + 632*n + 17472 = 0.\nAnswer: -24, -14, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 373*s**2 + 16 + 384*s**2)*((-3*s + 2*s + 3*s)*(2*s - 3*s - 2*s) - 2*s**2 + 4*s**2 - 3*s**2) to f*s**4 + d*s + u*s**2 + y*s**3 + g and give u.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 3*x**2 - x - 2. Let p be 12\/8 + 2\/(4\/3). Calculate s(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -255277519.651 and 2.2?\nAnswer: 255277521.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1020030030 (base 4) to base 10\nAnswer: -295692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 r when four letters picked without replacement from duhuhuurrhuhddd.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -f - 30. Let s(q) = q**3 + 3*q**2 + 2. Let z = 0 - 2. Let v(p) = -7*p**2 + p**3 - 5 + 2*p**3 + 0 - 5*p**3. Give f*s(b) + z*v(b).\nAnswer: -b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -144 + 143. Let r be 6\/9*6\/(-10). Let c = 19 + -24. What is the closest to y in r, 1, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g**5 - g**3 + 1397*g**2 - 94309*g wrt g.\nAnswer: 80*g**3 - 6*g + 2794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*d - 245*d - 182*d = 3040 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 + 214*f**2 + 29760*f + 1353600.\nAnswer: (f + 120)**2*(f + 188)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 20*i - 27. Let w be b(-16). Suppose w = 6*f - 101. What is the least common multiple of 5 and f?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15593.18 - -15727. Round f to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**11\/k**(-7))**(-32\/3)*k\/k**9*(k**(5\/6)*k)\/k*(k\/(k*k\/(k\/((k**(-2)\/k)\/k))*k)*k)**34 assuming k is positive.\nAnswer: k**(-379\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(832)*-4)**2.\nAnswer: -128*sqrt(13) + 13316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 212 and 1397957275221.\nAnswer: 1397957275433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 8*h**2 - 28*h - 21. Let g(b) = 7*b**2 - 24*b - 18. Let t(a) = 7*g(a) - 6*k(a). Let p(z) = -z + 49. Give p(t(o)).\nAnswer: -o**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/(-18) + (-12)\/(-54). Let x be 2\/16 - (-66)\/(-16). Let o(n) = -2*n - 4. Let v be o(x). Which is the second smallest value? (a) v (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3705401919 to the power of 1\/3, to the nearest integer?\nAnswer: 1547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -182 divided by -7\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9065010 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, t: 1, y: 7, h: 4, v: 3}. What is prob of sequence yvkt?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4768807642 to the nearest integer?\nAnswer: 1683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10762417 divided by -8?\nAnswer: 10762417\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2061, -4242, -6415, -8580, -10737?\nAnswer: -12886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 0*d - 3*d)*(-d + 4 - 1 - 5 + (-d - d + 0*d)*(-1 + 5 - 3)).\nAnswer: 9*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 + -13313?\nAnswer: -20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-288)\/(-152) + -5 + 3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 430.33852 to 0 dps.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(147) - sqrt(147)) + -3)**2.\nAnswer: 112*sqrt(3) + 604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.43 in 6, -3\/4, -0.8, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*g + 336 = 0, -4*g + 135 = 5*h - 285. What is the highest common factor of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/(2\/(-12)). Let n = 0.01 + 0.09. Let l = -244 + 241. Which is the nearest to 2\/5? (a) i (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + -54. Let t = d + 92. Suppose 5*q - 364 = -t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*u + 453, -2*u - 256 = 2*t - 558. What is the remainder when 426 is divided by u?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 + 109*i + 108 = 0. Calculate i.\nAnswer: -108, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + 33*z + 5. Let k be t(11). Which is the nearest to 4\/9? (a) 2\/7 (b) 1 (c) k (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - d - 2*d**2 + 0*d)*(2 - 4 - 2)*(4*d + 29*d - 94*d).\nAnswer: -488*d**3 - 732*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i**2\/11 + 46*i\/11 - 4\/11 = 0. What is i?\nAnswer: 2\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 7. Let g be r(5). Let c = -57 + 29. Let h = 26 + c. Sort 2\/3, h, g.\nAnswer: h, 2\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9120 and 1140?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 4\/9*k**3 + 5\/6*k**2 + 1\/18*k**6 + 0*k - 1\/2*k**4 - 4\/15*k**5 - 39. Factor a(f).\nAnswer: f*(f - 5)*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.10741l to millilitres.\nAnswer: 45107.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 1 + 3 - ((-3 - -10) + 12).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 23. Let z = 14 + v. Which is the closest to z? (a) 0 (b) -1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**3 + 105*f**2 - 735*f + 1715 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -54*i**4 + 1488*i**3 + 2246*i**2 + 472*i - 232 = 0. What is i?\nAnswer: -1, -2\/3, 2\/9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 81857676.\nAnswer: 736719084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49606, 49582, 49542, 49486, 49414, 49326, 49222?\n\"Answer: -8*r**2 + 49614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + (25 - (51 + -30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)\/g)**(-19)*g**(-2\/7)*g**(2\/11))\/((g\/((g**1*g)\/g))**(-6\/5))**(-32) assuming g is positive.\nAnswer: g**(5828\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 4*r - 8 - 7)*(-7 + 7 - r) + (0*r + r + 0*r)*(r + 0*r - 2*r).\nAnswer: -5*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.638923986 + -0.12.\nAnswer: -0.758923986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + -2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -132211202 (base 4) to base 3\nAnswer: -20100212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**5\/15 - x**4\/8 + 5*x**3\/6 + 391*x**2. Let c(u) = u**2 - u + 1. Calculate 9*c(t) - 2*y(t).\nAnswer: t**2 - 3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*p**2 + 24*p*r**2 - 5*r**2 + 14*r wrt p?\nAnswer: 10*p + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(165\/(-48))*1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 5*b. Let p(s) = s**2 + s. Let f(t) = -c(t) + 5*p(t). Let u(w) = 3*w. Determine f(u(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 18*x**3 + 7*x**2 - 3*x - 5. Let h be (4 + -5 - -4)\/1. Is d(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 361*j**3 - 11*j**2 - 18*j - 12. Let v be g(-14). Round v to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 4. Suppose -34 = 3*a - 37. Let d be n(a). Solve q - 2*y - y = -10, 4*y + 12 = -d*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-2)*96\/(-112). Let t = -19 - -22. Solve -t*o - i = -15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -756 + 751. Which is the nearest to 2? (a) s (b) -0.07 (c) 0.4 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 8378\nAnswer: -50268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35.372 and 0.2.\nAnswer: -35.172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 21*p + 192, 4*p + 25*s + 25*s + 26*s + 39 = -p + 82*s for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6 - a421?\nAnswer: -a338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -13) + (1 - -1 - 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = 3*y - 34*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004572 rounded to six dps?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1962 - -426076.\nAnswer: 428038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 10*g + 15. Let o be r(11). Suppose -4 = -o*z + 2*z. Calculate the remainder when 2 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-22)\/(-8))\/(3\/36)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.501878 months to millennia.\nAnswer: 0.0001251565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63279957113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -ab1769 (base 12) in base 16?\nAnswer: -297e01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 462709857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 80 divided by -4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 - -10110001011101010001000111?\nAnswer: 10110001011101010000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k - 1. What is d(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1.73?\nAnswer: 0.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q = -24*q + 656 - 486 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-341)\/5*(-284 - -174). What is the greatest common divisor of m and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1987, 2019, 2053, 2089?\n\"Answer: i**2 + 29*i + 1957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u + 50. Give h(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) + 0)**2 + -3 + sqrt(20)*4 - (5 + -5*(0 + sqrt(5)) + 4).\nAnswer: -7 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-6 + 2)) + -3 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2380, -4736, -7080, -9406, -11708, -13980?\n\"Answer: t**3 - 2363*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 17*u - 27. Let g(v) = 5*v**2 + 69*v + 107. Let b(k) = -2*g(k) - 9*z(k). Calculate the remainder when b(10) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25104 divided by 12552\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1401*n**4 - n**3*v**2 + 9232*n*v**2 - 2*n wrt n.\nAnswer: -16812*n**2 - 6*n*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 312214 - 312214.6. Let y = -7 + 7.3. What is the closest to 10 in -1, m, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -15\/8*r**2 + 21\/8*r - 3\/4 = 0?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 246 and 7257.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 635407786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65089 - 65084. Let o = 0.2 + -0.2. Let z = -0.3 - o. What is the second smallest value in n, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3079 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2744\/(-1715))\/(8\/190)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-381)\/(-3810))\/(87*(-1)\/(-90))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(2\/((-2)\/(-5))). Let s(p) = 2*p**3 - 583*p**2 + 338*p - 13690. Let x be s(291). Put -4, 0.5, x, q in decreasing order.\nAnswer: q, 0.5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1941360 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w - 135 = -81*w - 245 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + 1*2*-1. Suppose u*v - 4 = -2*v. Is v equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 8*c + 138. Let m be k(8). Solve 132*s = m*s - 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o**(-4\/7))**(-1\/23)*o**(-3)\/(o*o**(-3\/4)*o)*(o**(-2\/9)\/o)**(-6\/19) assuming o is positive.\nAnswer: o**(-147313\/36708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1351 + -1427. Let x = 4.3 + 60.3. Let w = x + u. What is w rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -21 + (-17 - 1) + 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -2, -12, 148.\nAnswer: -12, -2, 0, 4, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3*k + 6 = 4*n, 2*n - 12 = 2*k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4\/6557991?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*t - 10 = 0, -4*x - 2*t + 3*t = -1. Let s be (6\/18)\/(4\/180). Let c be 6\/(-4)*(-40)\/s. Solve x = -c*m + 5*i, -3*m - 5*i = -m - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/108)\/((-3)\/(-9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -59 - -168. Let y = -1 + d. What is the units digit of y\/8*8\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2317 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 73*o + 714. Let p(j) = -2*j**2. Calculate f(p(w)).\nAnswer: -146*w**2 + 714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 12.1. Let k = 3.1 - x. Let v = 289\/10 - 57\/2. Which is the smallest value? (a) v (b) k (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**3 + 7*u**2 - 78*u - 28. Calculate m(0).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1954 is divided by 395.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.11 (b) -0.2 (c) 3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864 = 120*o - 195*o + 107*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 + -180. Calculate the greatest common divisor of 143 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -42. Let q(u) = 2*u**2 + u + 5. Let b be q(5). Let w = b + -58. Solve -p = 4*d - 3*o - 0*o, -d = w*o - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59329 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -60042, -60055, -60080, -60123, -60190, -60287, -60420?\n\"Answer: -k**3 - 6*k - 60035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 15 - (-310 - -412)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - -32. Let h = r + -149\/3. Let l(d) = d**3 + d**2 - d + 1. Let m be l(0). Is m greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*o**4*x**3 + 11*o**4 - 4*o*x**3 + 2*o*x wrt o.\nAnswer: -588*o**2*x**3 + 132*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/4)*p*p**(-25) assuming p is positive.\nAnswer: p**(-95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.82485 centuries in millennia?\nAnswer: 7.482485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -3.5127?\nAnswer: -3.5127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 0)*15\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -474015 + -6085.\nAnswer: -480100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12465891 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = -3. Find the third derivative of -2*o**5 - 4*o**p + o**2 + 5*o**2 wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -23 + 34 + -39 + 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 9836536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 13) to base 15.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - q - 1. Let x(k) = -k**2 - 6*k + 10. Let i be x(-7). Suppose 4*u - 5*u - 14 = 4*v, 9 = -i*v. What is b(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8376 (base 11) to base 16\nAnswer: 2b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 3*c + 6*c)*(2 - 1 - 2)*(0 + 7 + 4).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*f - 195 - 905 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 44*r**3 + 23*r**2 + 5*r - 1. Let j(t) = -9*t**3 - 3*t**2 + t. Let c(a) = d(a) + 5*j(a). What is c(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 11*h = -0*h. Let i(r) = h*r**2 + r - 83*r**3 - 3*r**2 + 163*r**3 - 81*r**3. Let q be 6\/4*2\/(-1). Determine i(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105517*i - 105515*i + 129 + 211027*i - 21.\nAnswer: -5*i + 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 4*a**2 - 15*a - 42. Let d be q(-5). Suppose -d = h + 5*i, -2*h + 5*i + 14 = -0*i. Solve -2*x + 14 = 4*s, -3*x - s + 8 = h*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.5 - -0.5. Let j = 2.831 + 0.169. Put a, j, 5, -3 in descending order.\nAnswer: 5, j, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 631 a factor of 63604884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0486 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33\/9 - (-1)\/3. Suppose 5*d - a*i = 6, -1 + 0 = -i. Let c = 1 + 1. Solve d*n + c*n - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from nvvnvvvkvttkjjnt?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h - 3*a = -441, 0 = 2*h + a - 219. Does 32 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*f**2 + 13*f**2 - 23*f**2 + 23*f**5 + (2*f**3 - 2*f + 2*f**3 - 3*f**3)*(-26 + 26 + 6*f**2).\nAnswer: 29*f**5 - 12*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*s + 130*s - 266*s + 63*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -138 and 1039492727.\nAnswer: 1039492589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50*b**5 - 2*b**4 + 1517*b**3 + 97*b**2 + 3232*b wrt b?\nAnswer: 3000*b**2 - 48*b + 9102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-2*c**5 + 3*c**5 - 3*c**5) - 2*c**5 + c**5 + 3*c**5 + 2*c**3 - 13*c**5 + 0*c**3 - 15*c**4 + 18*c**4.\nAnswer: -15*c**5 + 3*c**4 + 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-15)*1380\/(-207)*3*-1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iixiixiiiixtip. What is prob of sequence pt?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -8. Let k = 14 - w. Calculate the remainder when 19 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 5:08 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3*t - 15, -3*a - t - 2*t = -33. Suppose -2*j - 24 = -a*j. Suppose 14*k - 243 + 33 = 0. What is the remainder when k is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2525 + -5055\/2. Let s = -0.5 - 0. What is the fourth biggest value in s, w, -5, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**2 + 2337771*d - 2337774 = 0.\nAnswer: -779258, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*52\/468 + (-31)\/(-63).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjgj when four letters picked without replacement from {c: 7, j: 2, g: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -19, 0.4, 1\/41, -0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**3 - 56*o**2 + 84*o + 144 = 0 for o.\nAnswer: -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 - 825\/2*s - 207\/2*s**2.\nAnswer: -3*(s + 4)*(69*s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2132, 4515, 6900, 9287?\nAnswer: 11676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 28 = 8*s. Suppose s*a + 112 = 408. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1048 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80\/2352787 or 0?\nAnswer: -80\/2352787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-577)\/(-1266)*-2456)\/((-5382)\/39). Let x = z - 1\/4853. Calculate the common denominator of 13\/180 and x.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + 0.01. What is the smallest value in 0.3, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 428 - 920.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) -144 (b) 1\/43 (c) -0.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -35, -78, -137, -212, -303?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 2*l**2 + 5*l + 11. What is the units digit of f(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - 3) + 0 + -221 + 233?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*p - 11589 + 7026 = 0 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2296504 divided by -14\nAnswer: 164036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -16, -19, 3 in descending order.\nAnswer: 3, -7, -16, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 75515977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1769*v - 527566 = -3353*v for v.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*i - t, 0 = -2*i - 2*i - 4*t - 12. Let g be (9 - (-2 - -6)) + (-1)\/i. Let a(z) = z**2 - 4*z + 5. Calculate a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36260243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8154*f - 8216*f + 62 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-5 - (7 + -19))) + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073960.309 rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -5 (c) -4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-4 - (-3 + -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 + 4 - 2 - 4 + (4*f**4 - f**4 - 2*f**4)*(-5 - 2 + 2) - 9*f**2 + 9*f**2 + 7*f**4.\nAnswer: 4*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1088) - (sqrt(85)\/sqrt(80))**2.\nAnswer: -17\/16 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 22. Let d be j(13). Let v = 27 - d. Suppose -l = 2*l + v. Let a(p) = p**3 + 7*p**2 + 6*p + 3. Determine a(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1256, 2523, 3784, 5039, 6288, 7531, 8768?\nAnswer: 9999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 480094608 and 60011826.\nAnswer: 480094608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27911381 to the nearest integer?\nAnswer: 5283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 + 212 = -98*w + 657. Put -3, -5, w, 4 in increasing order.\nAnswer: -5, -3, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18898 (base 14) to base 12.\nAnswer: 2bb06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - b - 1 = 0, 7 = -2*s - 2*b - b. Let f(a) = a. Let k = 5 + -1. Let o(r) = r**2 - 3*r. Calculate k*f(x) + s*o(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -1\/60*v**5 + v**2 + 0 - 1\/3*v**3 - 2*v - 1\/3*v**4. Determine q(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g - 1. Let j(l) = l + 1. Let a be j(-4). Does 3 divide m(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2032408552249873 - 2032408392373764.0000027. Let z = w - 159876127. Let f = z + 18. What is f rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((0 + sqrt(425))**2 - sqrt(17) - sqrt(17))*-2 - ((sqrt(17) - -2*sqrt(17)) + -2 + (sqrt(153) + 1)**2).\nAnswer: -13*sqrt(17) + 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 19*f**2. Let w(y) = -111*y - 6. Let j(l) = 2002*l + 110. Let p(t) = 6*j(t) + 110*w(t). What is p(m(i))?\nAnswer: -3762*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 2*x**2 + 12*x + 4*x**2.\nAnswer: 2*x**2 + 10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*p, -16*p - 21 = 5*s - 12*p for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o)**5\/(((o**(1\/11)\/o*o)\/o)\/o**(-8)) assuming o is positive.\nAnswer: o**(-257\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 12*w + 965. What is m(-80)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -847\/1124 - -1\/281. Let h be (3\/9)\/((-2)\/(-6)). Put w, 5, h in descending order.\nAnswer: 5, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45970 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}